adding no contact AMG solves for every step

Add Anderson acceleration and fixed point/Picard options

.github/workflows/trigger-pymfem-ci.yml

@@ -0,0 +1,31 @@
+# Copyright (c) 2010-2024, Lawrence Livermore National Security, LLC. Produced
+# at the Lawrence Livermore National Laboratory. All Rights reserved. See files
+# LICENSE and NOTICE for details. LLNL-CODE-806117.
+#
+# This file is part of the MFEM library. For more information and source code
+# availability visit https://mfem.org.
+#
+# MFEM is free software; you can redistribute it and/or modify it under the
+# terms of the BSD-3 license. We welcome feedback and contributions, see file
+# CONTRIBUTING.md for details.
+
+name: "Trigger PyMFEM CI"
+
+on:
+  push:
+    branches:
+      - master
+
+jobs:
+  trigger-pymfem:
+    runs-on: ubuntu-latest
+    steps:
+    - name: Send POST request to trigger PyMFEM CI
+      run: |
+        curl -L \
+             -X POST \
+             -H "Accept: application/vnd.github+json" \
+             -H "Authorization: Bearer ${{ secrets.PYMFEM_CI_TOKEN }}" \
+             -H "X-GitHub-Api-Version: 2022-11-28" \
+             https://api.github.com/repos/mfem/pymfem/actions/workflows/build-and-test-dispatch.yml/dispatches \
+             -d '{"ref":"master", "inputs":{"test_options":"fast"}}'

.gitlab-ci.yml

@@ -22,7 +22,7 @@ include:
 # the "needs" keyword and express the DAG of jobs for more efficiency.
 # - We use setup and setup_baseline phases to download content outside of mfem
 #   directory.
-# - Allocate/Release is where quartz resource are allocated/released once for all.
+# - Allocate/Release is where ruby resource are allocated/released once for all.
 # - Build and Test is where we build and MFEM for multiple toolchains.
 # - Baseline_checks gathers baseline-type test suites execution
 # - Baseline_publish, only available on master, allows to update baseline
@@ -53,7 +53,7 @@ variables:
   AUTOTEST_COMMIT: "YES"
 
 # Trigger subpipelines:
-quartz-build-and-test:
+ruby-build-and-test:
   stage: sub-pipelines
   variables:
     # Explicitly pass down values that we want to be able to set when triggering
@@ -61,10 +61,10 @@ quartz-build-and-test:
     AUTOTEST: "${AUTOTEST}"
     AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
   trigger:
-    include: .gitlab/quartz-build-and-test.yml
+    include: .gitlab/ruby-build-and-test.yml
     strategy: depend
 
-quartz-baseline:
+ruby-baseline:
   stage: sub-pipelines
   variables:
     # Explicitly pass down values that we want to be able to set when triggering
@@ -73,7 +73,7 @@ quartz-baseline:
     AUTOTEST: "${AUTOTEST}"
     AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
   trigger:
-    include: .gitlab/quartz-baseline.yml
+    include: .gitlab/ruby-baseline.yml
     strategy: depend
 
 lassen-build-and-test:

.gitlab/README.md

@@ -24,7 +24,7 @@ and `test type`.
 
 Machines typically include:
 
-* Quartz: Intel bi-socket x86
+* Ruby: 2nd Gen Intel Xeon (Cascade Lake)
 * Lassen: Power9 + Nvidia GPU
 * Corona: AMD GPU
 
@@ -76,13 +76,13 @@ with a spack spec of MFEM, within the limits permitted by the MFEM spack
 package.
 
 In any build-and-test sub-pipeline a job basically consists in defining the
-spack spec to use. Adding a job on quartz for example resumes to:
+spack spec to use. Adding a job on ruby for example resumes to:
 
 ```yaml
 <job_name>:
   variables:
     SPEC: "<spack_spec>"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 ```
 
 The remaining and non trivial work is to make sure this spec is working. To

.gitlab/configs/common.yml

@@ -24,7 +24,7 @@ variables:
 # TODO: add a clean-up mechanism
   BUILD_ROOT: ${USER_CI_TOP_DIR}/${CI_PROJECT_NAME}-${MACHINE_NAME}-pipeline-${CI_PIPELINE_ID}
 
-# On LLNL's quartz, there is only one allocation shared among jobs in order to
+# On LLNL's ruby, there is only one allocation shared among jobs in order to
 # save time and resource. This allocation has to be uniquely named so that we
 # are sure to retrieve it.
   ALLOC_NAME: ${CI_PROJECT_NAME}_ci_${CI_PIPELINE_ID}

.gitlab/configs/ruby-config.yml

@@ -9,17 +9,17 @@
 # terms of the BSD-3 license. We welcome feedback and contributions, see file
 # CONTRIBUTING.md for details.
 
-# GitLab pipelines configurations for the Quartz machine at LLNL
+# GitLab pipelines configurations for the Ruby machine at LLNL
 variables:
-  MACHINE_NAME: quartz
+  MACHINE_NAME: ruby
 
-.on_quartz:
+.on_ruby:
   tags:
     - shell
-    - quartz
+    - ruby
   rules:
-    # Don't run quartz jobs if...
-    - if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_QUARTZ == "OFF"'
+    # Don't run ruby jobs if...
+    - if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_RUBY == "OFF"'
       when: never
     # Don't run autotest update if...
     - if: '$CI_JOB_NAME =~ /report/ && $AUTOTEST != "YES"'
@@ -40,13 +40,13 @@ variables:
     - when: on_success
 
 # Spack helped builds
-# Generic quartz build job, extending build script
-.build_and_test_on_quartz:
-  extends: [.on_quartz]
+# Generic ruby build job, extending build script
+.build_and_test_on_ruby:
+  extends: [.on_ruby]
   stage: build_and_test
   script:
     # THREADS is used by 'tests/gitlab/build_and_test', run below
-    - export THREADS=12
+    - export THREADS=16
     - echo ${ALLOC_NAME}
     - export JOBID=$(squeue -h --name=${ALLOC_NAME} --format=%A)
     - echo ${JOBID}

.gitlab/configs/setup-baseline.yml

@@ -18,7 +18,7 @@
 setup_baseline:
   tags:
     - shell
-    - quartz
+    - ruby
   stage: setup
   variables:
     GIT_STRATEGY: none

.gitlab/configs/setup-build-and-test.yml

@@ -16,7 +16,7 @@
 setup:
   tags:
     - shell
-    - quartz
+    - ruby
   stage: setup
   variables:
     GIT_STRATEGY: none

.gitlab/ruby-baseline.yml

@@ -19,8 +19,8 @@ stages:
   - cleanup
   - baseline_publish
 
-baselinecheck_mfem_intel_quartz:
-  extends: [.on_quartz]
+baselinecheck_mfem_intel_ruby:
+  extends: [.on_ruby]
   stage: baseline_check
   variables:
     # TPLS_DIR is used in .gitlab/scripts/baseline to provide the tpls location
@@ -32,7 +32,7 @@ baselinecheck_mfem_intel_quartz:
     - echo ${BUILD_ROOT}
     - echo ${TPLS_DIR}
     # Used by the tests in MFEM/tests:
-    - export MFEM_TEST_NP=32
+    - export MFEM_TEST_NP=48
     # The next script uses the following environment variables:
     # * BASELINE_TEST, SYS_TYPE, CI_PROJECT_DIR, ARTIFACTS_DIR,
     # * BUILD_ROOT, TPLS_DIR, MACHINE_NAME
@@ -44,18 +44,16 @@ baselinecheck_mfem_intel_quartz:
   allow_failure: true
 
 cleanup:
-  extends: .on_quartz
+  extends: .on_ruby
   stage: cleanup
   variables:
     GIT_STRATEGY: none
   script:
     - echo "BUILD_ROOT=${BUILD_ROOT}"
     - rm -rf "${BUILD_ROOT}" || true
-    - echo "CI_PROJECT_DIR=${CI_PROJECT_DIR}"
-    - make -C "${CI_PROJECT_DIR}" distclean
 
 report_baseline:
-  extends: [.on_quartz]
+  extends: [.on_ruby]
   stage: baseline_report
   script:
     - echo ${MACHINE_NAME}
@@ -115,8 +113,8 @@ report_baseline:
         exit $err
       ) 9> autotest.lock
 
-baselinepublish_mfem_quartz:
-  extends: [.on_quartz]
+baselinepublish_mfem_ruby:
+  extends: [.on_ruby]
   stage: baseline_publish
   rules:
     # - if: '$CI_COMMIT_BRANCH == "master" || $REBASELINE == "YES"'
@@ -131,5 +129,5 @@ baselinepublish_mfem_quartz:
 
 include:
   - local: .gitlab/configs/common.yml
-  - local: .gitlab/configs/quartz-config.yml
+  - local: .gitlab/configs/ruby-config.yml
   - local: .gitlab/configs/setup-baseline.yml

.gitlab/ruby-build-and-test.yml

@@ -19,54 +19,54 @@ stages:
 allocate_resource:
   variables:
     GIT_STRATEGY: none
-  extends: .on_quartz
+  extends: .on_ruby
   stage: allocate_resource
   script:
     - echo ${ALLOC_NAME}
     - salloc --exclusive --nodes=1 --reservation=ci --time=60 --no-shell --job-name=${ALLOC_NAME}
   timeout: 6h
 
-# GitLab jobs for the Quartz machine at LLNL
+# GitLab jobs for the Ruby machine at LLNL
 debug_ser_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 +debug~mpi"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 debug_par_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 +debug+mpi"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 opt_ser_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1 ~mpi"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 opt_par_gcc_10:
   variables:
     SPEC: "%gcc@10.3.1"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 opt_par_gcc_10_sundials:
   variables:
     SPEC: "%gcc@10.3.1 +sundials"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 opt_par_gcc_10_petsc:
   variables:
     SPEC: "%gcc@10.3.1 +petsc ^petsc+mumps~superlu-dist"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 opt_par_gcc_10_pumi:
   variables:
     SPEC: "%gcc@10.3.1 +pumi"
-  extends: .build_and_test_on_quartz
+  extends: .build_and_test_on_ruby
 
 # Release
 release_resource:
   variables:
     GIT_STRATEGY: none
-  extends: .on_quartz
+  extends: .on_ruby
   stage: release_resource_and_report
   script:
     - echo ${ALLOC_NAME}
@@ -78,17 +78,17 @@ release_resource:
 report_job_success:
   stage: release_resource_and_report
   extends:
-    - .on_quartz
+    - .on_ruby
     - .report_job_success
 
 report_job_failure:
   stage: release_resource_and_report
   extends:
-    - .on_quartz
+    - .on_ruby
     - .report_job_failure
 
 include:
   - local: .gitlab/configs/common.yml
-  - local: .gitlab/configs/quartz-config.yml
+  - local: .gitlab/configs/ruby-config.yml
   - local: .gitlab/configs/setup-build-and-test.yml
   - local: .gitlab/configs/report-build-and-test.yml

.gitlab/scripts/baseline

@@ -14,7 +14,7 @@
 # locals
 glob_err=${BASELINE_TEST}.err
 base=${BASELINE_TEST}-${SYS_TYPE}
-if [[ "${MACHINE_NAME}" == "quartz" ]]; then
+if [[ "${MACHINE_NAME}" == "ruby" ]]; then
   base="${BASELINE_TEST}-${MACHINE_NAME}"
 fi
 base_diff=${base}.diff
@@ -31,8 +31,8 @@ cd tests
 mkdir _${BASELINE_TEST} && cd _${BASELINE_TEST}
 
 # run
-if [[ "${MACHINE_NAME}" == "quartz" || "${MACHINE_NAME}" == "ruby" ]]; then
-  salloc --nodes=1 --reservation=ci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
+if [[ "${MACHINE_NAME}" == "ruby" ]]; then
+  salloc --nodes=1 --exclusive --reservation=ci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
 elif [[ ${MACHINE_NAME} == "corona" ]]; then
   salloc --nodes=1 -t 60 -p pbatch ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
 elif [[ ${MACHINE_NAME} == "lassen" ]]; then
@@ -41,11 +41,11 @@ else
   echo "Unknown machine: MACHINE_NAME=$MACHINE_NAME"
   exit 1
 fi
+status="$?"
 
 # post
 mkdir ${artifacts_path}
 
-status=0
 if [[ -f ${BASELINE_TEST}.out ]]; then
   cp ${BASELINE_TEST}.out ${artifacts_path}
 fi

.gitlab/scripts/rebaseline

@@ -11,7 +11,7 @@
 # terms of the BSD-3 license. We welcome feedback and contributions, see file
 # CONTRIBUTING.md for details.
 
-# There will be collision between corona and quartz baselines.
+# There will be collision between corona and ruby baselines.
 # Once the corresponding files have been generated, we can switch to machine
 # specific ref.
 ARTIFACT_PATH=${CI_PROJECT_DIR}/${ARTIFACTS_DIR}/baseline-${SYS_TYPE}
@@ -21,7 +21,7 @@ PATCH_FILE=${ARTIFACT_PATH}.patch
 FULL_FILE=${ARTIFACT_PATH}.out
 DIFF_FILE=${ARTIFACT_PATH}.diff
 
-# There will be collision between corona and quartz baselines.
+# There will be collision between corona and ruby baselines.
 # Once the corresponding files have been generated, we can switch to machine
 # specific ref.
 SAVED_NAME=baseline-${SYS_TYPE}.saved

CHANGELOG

@@ -11,6 +11,47 @@
 Version 4.7.1 (development)
 ===========================
 
+Discretization improvements
+---------------------------
+- Added NURBS-based H(div) and H(curl) elements in 2D and 3D. Only on single
+  patch meshes. Only implemented for serial computations.
+
+- Added support for boundary constraints to the hybridization class.
+
+Meshing improvements
+--------------------
+- The ExodusII reader now handles pyramid and wedge element types. Mixed meshes
+  are also supported.
+
+New and updated examples and miniapps
+-------------------------------------
+- Added miniapps to demonstrate the H(div) and H(curl) NURBS elements.
+
+- Added an MFEM example for the eikonal equation. This new solver is based on
+  the proximal Galerkin method introduced by Keith and Surowiec.
+
+- Added a command line option to all miniapps (`-p` or `--send-port`) for
+  specifying the GLVis server socket port (19916 by default).
+
+GPU computing
+-------------
+- Added support for GPU-accelerated batched linear algebra (using cuBLAS,
+  hipBLAS, MAGMA, or native MFEM functionality) through the BatchedLinAlg class.
+
+- A new GPU kernel dispatch mechanism was introduced. Users can instantiate
+  specialized kernels for specific combinations of (for example) polynomial
+  degree and number of quadrature points using
+  `DiffusionIntegrator::AddSpecialization` and
+  `MassIntegrator::AddSpecialization` (this functionality may be added to more
+  integrators in the future).
+
+- Calls to slower fallback kernels can be reported to `mfem::err` by setting
+  the environment variable `MFEM_REPORT_KERNELS` to any value other than `NO`
+  or by explicitly calling `KernelReporter::Enable`. Users can then add
+  specializations for these kernels to achieve higher performance.
+
+Miscellaneous
+-------------
 - Refactored the `ARKStepSolver` class (ARKODE interface) to use
   `TimeDependentOperator::Mult` only when the associated ODE operator is
   expressed in explicit form (i.e., `TimeDependentOperator::isExplicit()`),
@@ -23,14 +64,8 @@ Version 4.7.1 (development)
 
 - Added support for custom interpolation procedure in FindPointsGSLIB.
 
-- Added NURBS-based H(div) and H(curl) elements in 2D and 3D. Only on single
-  patch meshes. Only implemented for serial computations.
-
-- Added miniapps to demonstrate the H(div) and H(curl) NURBS elements.
-
-- Added an MFEM example for the eikonal equation. This new solver is based on
-  the proximal Galerkin method introduced by Keith and Surowiec.
-
+API changes
+-----------
 - API change: in class GridFunction, 'fec' was renamed to 'fec_owned'.
 
 

CMakeLists.txt

@@ -146,7 +146,9 @@ if (MFEM_USE_CUDA)
    set(CMAKE_CUDA_FLAGS "${CMAKE_CUDA_FLAGS} ${CUDA_FLAGS}")
    find_package(CUDAToolkit REQUIRED)
    set(CUSPARSE_FOUND TRUE)
+   set(CUBLAS_FOUND TRUE)
    get_target_property(CUSPARSE_LIBRARIES CUDA::cusparse LOCATION)
+   get_target_property(CUBLAS_LIBRARIES CUDA::cublas LOCATION)
 endif()
 
 if (XSDK_ENABLE_C)
@@ -231,6 +233,7 @@ if (MFEM_USE_HIP)
     list(INSERT CMAKE_PREFIX_PATH 0 ${ROCM_PATH})
   endif()
   find_package(HIP REQUIRED)
+  find_package(HIPBLAS REQUIRED)
   find_package(HIPSPARSE REQUIRED)
 endif()
 
@@ -396,6 +399,10 @@ if (MFEM_USE_AMGX)
   find_package(AMGX REQUIRED)
 endif()
 
+if (MFEM_USE_MAGMA)
+  find_package(MAGMA REQUIRED)
+endif()
+
 if (MFEM_USE_CONDUIT)
     find_package(Conduit REQUIRED conduit relay blueprint)
 endif()
@@ -557,8 +564,9 @@ find_package(Threads REQUIRED)
 set(MFEM_TPLS OPENMP HYPRE LAPACK BLAS SuperLUDist STRUMPACK METIS SuiteSparse
     SUNDIALS PETSC SLEPC MUMPS AXOM FMS CONDUIT Ginkgo GNUTLS GSLIB
     NETCDF MPFR PUMI HIOP POSIXCLOCKS MFEMBacktrace ZLIB OCCA CEED RAJA UMPIRE
-    ADIOS2 CUSPARSE MKL_CPARDISO MKL_PARDISO AMGX CALIPER CODIPACK
-    BENCHMARK PARELAG TRIBOL MPI_CXX HIP HIPSPARSE MOONOLITH BLITZ ALGOIM ENZYME)
+    ADIOS2 MKL_CPARDISO MKL_PARDISO AMGX MAGMA CUSPARSE CUBLAS CALIPER CODIPACK
+    BENCHMARK PARELAG TRIBOL MPI_CXX HIP HIPBLAS HIPSPARSE MOONOLITH BLITZ
+    ALGOIM ENZYME)
 
 # Add all *_FOUND libraries in the variable TPL_LIBRARIES.
 set(TPL_LIBRARIES "")
@@ -673,7 +681,7 @@ if (NOT ("${PROJECT_SOURCE_DIR}" STREQUAL "${PROJECT_BINARY_DIR}"))
 #include \"${PROJECT_SOURCE_DIR}/${Header}\"
 ")
 
-    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different 
+    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different
       "${PROJECT_BINARY_DIR}/${Header}.tmp"
       "${PROJECT_BINARY_DIR}/${Header}"
     )
@@ -687,7 +695,7 @@ if (NOT ("${PROJECT_SOURCE_DIR}" STREQUAL "${PROJECT_BINARY_DIR}"))
 #include \"mfem/${Header}\"
 ")
 
-    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different 
+    execute_process(COMMAND ${CMAKE_COMMAND} -E copy_if_different
       "${PROJECT_BINARY_DIR}/InstallHeaders/${Header}.tmp"
       "${PROJECT_BINARY_DIR}/InstallHeaders/${Header}"
     )

INSTALL

@@ -273,7 +273,13 @@ Installation options:
    PREFIX  - Specify the installation directory. The library (libmfem.a) will be
              installed in $(PREFIX)/lib, the headers in $(PREFIX)/include, and
              the configuration makefile (config.mk) in $(PREFIX)/share/mfem.
-   INSTALL - Specify the install program, e.g /usr/bin/install
+   INSTALL - Specify the install program, default = /usr/bin/install
+   INSTALL_DEF_PERM - Specify the default install permissions. This affects
+                      headers and configuration makefiles, default = 644
+   INSTALL_BIN_PERM - Specify the install permissions for binaries. This only
+                      affects the shared version of the library, default = 755
+   INSTALL_DIR_PERM - Specify the install permissions for directories and,
+                      on macOS/BSD, for symlinks as well, default = 755
 
 MFEM library features/options (GNU make)
 ----------------------------------------
@@ -388,6 +394,11 @@ MFEM_USE_AMGX = YES/NO
    Allows the user to use SparseMatrices and HypreParMatrices to solve linear
    systems with the routines from the AmgX library.
 
+MFEM_USE_MAGMA = YES/NO
+   Enable MFEM functionality based on the MAGMA high-performance linear algebra
+   library. The MAGMA library provides a BLAS/LAPACK interface, with
+   implementations that have been optimized for Nvidia and AMD GPUs.
+
 MFEM_USE_GNUTLS = YES/NO
    Enable secure socket support in class socketstream, using the auxiliary
    GnuTLS_* classes, based on the GnuTLS library. This option may be useful in
@@ -699,6 +710,11 @@ The specific libraries and their options are:
   Options: AMGX_OPT, AMGX_LIB.
   Versions: AmgX >= 2.1, older versions may work too.
 
+- MAGMA (optional), used with MFEM_USE_MAGMA = YES.
+  URL: https://icl.utk.edu/magma/
+  Options: MAGMA_OPT, MAGMA_LIB
+  Versions: MAGMA >= 2.8.0
+
 - GnuTLS (optional), used when MFEM_USE_GNUTLS = YES. On most Linux systems,
   GnuTLS is available as a development package, e.g. gnutls-devel. On Mac OS X,
   one can get the library through the Homebrew package manager (http://brew.sh).

config/cmake/MFEMConfig.cmake.in

@@ -37,6 +37,7 @@ set(MFEM_USE_MUMPS @MFEM_USE_MUMPS@)
 set(MFEM_USE_STRUMPACK @MFEM_USE_STRUMPACK@)
 set(MFEM_USE_GINKGO @MFEM_USE_GINKGO@)
 set(MFEM_USE_AMGX @MFEM_USE_AMGX@)
+set(MFEM_USE_MAGMA @MFEM_USE_MAGMA@)
 set(MFEM_USE_HIOP @MFEM_USE_HIOP@)
 set(MFEM_USE_GNUTLS @MFEM_USE_GNUTLS@)
 set(MFEM_USE_GSLIB @MFEM_USE_GSLIB@)

config/cmake/config.hpp.in

@@ -114,6 +114,9 @@
 // Enable MFEM functionality based on the AmgX library.
 #cmakedefine MFEM_USE_AMGX
 
+// Enable MFEM functionality based on the MAGMA library.
+#cmakedefine MFEM_USE_MAGMA
+
 // Enable secure socket streams based on the GNUTLS library.
 #cmakedefine MFEM_USE_GNUTLS
 

config/cmake/modules/FindMAGMA.cmake

@@ -0,0 +1,37 @@
+# Copyright (c) 2010-2024, Lawrence Livermore National Security, LLC. Produced
+# at the Lawrence Livermore National Laboratory. All Rights reserved. See files
+# LICENSE and NOTICE for details. LLNL-CODE-806117.
+#
+# This file is part of the MFEM library. For more information and source code
+# availability visit https://mfem.org.
+#
+# MFEM is free software; you can redistribute it and/or modify it under the
+# terms of the BSD-3 license. We welcome feedback and contributions, see file
+# CONTRIBUTING.md for details.
+
+# Defines the following variables:
+#   - MAGMA_FOUND
+#   - MAGMA_LIBRARIES
+#   - MAGMA_INCLUDE_DIRS
+
+include(MfemCmakeUtilities)
+mfem_find_package(MAGMA MAGMA MAGMA_DIR "include" "magma.h" "lib" "magma"
+  "Paths to headers required by MAGMA." "Libraries required by MAGMA.")
+
+if (MAGMA_FOUND AND MFEM_USE_CUDA)
+  get_target_property(CUSPARSE_LIBRARIES CUDA::cusparse LOCATION)
+  get_target_property(CUBLAS_LIBRARIES CUDA::cublas LOCATION)
+  list(APPEND MAGMA_LIBRARIES ${CUSPARSE_LIBRARIES} ${CUBLAS_LIBRARIES})
+  set(MAGMA_LIBRARIES ${MAGMA_LIBRARIES} CACHE STRING
+      "MAGMA libraries + dependencies." FORCE)
+  message(STATUS "Updated MAGMA_LIBRARIES: ${MAGMA_LIBRARIES}")
+endif()
+
+if (MAGMA_FOUND AND MFEM_USE_HIP)
+  find_package(HIPBLAS REQUIRED)
+  find_package(HIPSPARSE REQUIRED)
+  list(APPEND MAGMA_LIBRARIES ${HIPBLAS_LIBRARIES} ${HIPSPARSE_LIBRARIES})
+  set(MAGMA_LIBRARIES ${MAGMA_LIBRARIES} CACHE STRING
+      "MAGMA libraries + dependencies." FORCE)
+  message(STATUS "Updated MAGMA_LIBRARIES: ${MAGMA_LIBRARIES}")
+endif()

config/cmake/modules/MfemCmakeUtilities.cmake

@@ -846,14 +846,14 @@ function(mfem_export_mk_files)
       MFEM_USE_ZLIB MFEM_USE_LIBUNWIND MFEM_USE_LAPACK MFEM_THREAD_SAFE
       MFEM_USE_LEGACY_OPENMP MFEM_USE_OPENMP MFEM_USE_MEMALLOC MFEM_USE_SUNDIALS
       MFEM_USE_SUITESPARSE MFEM_USE_SUPERLU MFEM_USE_SUPERLU5 MFEM_USE_MUMPS
-      MFEM_USE_STRUMPACK MFEM_USE_GINKGO MFEM_USE_AMGX MFEM_USE_GNUTLS
-      MFEM_USE_NETCDF MFEM_USE_PETSC MFEM_USE_SLEPC MFEM_USE_MPFR MFEM_USE_SIDRE
-      MFEM_USE_FMS MFEM_USE_CONDUIT MFEM_USE_PUMI MFEM_USE_HIOP MFEM_USE_GSLIB
-      MFEM_USE_CUDA MFEM_USE_HIP MFEM_USE_RAJA MFEM_USE_OCCA MFEM_USE_CEED
-      MFEM_USE_CALIPER MFEM_USE_UMPIRE MFEM_USE_SIMD MFEM_USE_ADIOS2
-      MFEM_USE_MKL_CPARDISO MFEM_USE_MKL_PARDISO MFEM_USE_ADFORWARD
-      MFEM_USE_CODIPACK MFEM_USE_BENCHMARK MFEM_USE_PARELAG MFEM_USE_TRIBOL
-      MFEM_USE_MOONOLITH MFEM_USE_ALGOIM MFEM_USE_ENZYME)
+      MFEM_USE_STRUMPACK MFEM_USE_GINKGO MFEM_USE_AMGX MFEM_USE_MAGMA
+      MFEM_USE_GNUTLS MFEM_USE_NETCDF MFEM_USE_PETSC MFEM_USE_SLEPC
+      MFEM_USE_MPFR MFEM_USE_SIDRE MFEM_USE_FMS MFEM_USE_CONDUIT MFEM_USE_PUMI
+      MFEM_USE_HIOP MFEM_USE_GSLIB MFEM_USE_CUDA MFEM_USE_HIP MFEM_USE_RAJA
+      MFEM_USE_OCCA MFEM_USE_CEED MFEM_USE_CALIPER MFEM_USE_UMPIRE MFEM_USE_SIMD
+      MFEM_USE_ADIOS2 MFEM_USE_MKL_CPARDISO MFEM_USE_MKL_PARDISO
+      MFEM_USE_ADFORWARD MFEM_USE_CODIPACK MFEM_USE_BENCHMARK MFEM_USE_PARELAG
+      MFEM_USE_TRIBOL MFEM_USE_MOONOLITH MFEM_USE_ALGOIM MFEM_USE_ENZYME)
   foreach(var ${CONFIG_MK_BOOL_VARS})
     if (${var})
       set(${var} YES)

config/config.hpp.in

@@ -114,6 +114,9 @@
 // Enable MFEM functionality based on the AmgX library.
 // #define MFEM_USE_AMGX
 
+// Enable MFEM functionality based on the MAGMA library.
+// #define MFEM_USE_MAGMA
+
 // Enable secure socket streams based on the GNUTLS library.
 // #define MFEM_USE_GNUTLS
 

config/config.mk.in

@@ -38,6 +38,7 @@ MFEM_USE_MUMPS         = @MFEM_USE_MUMPS@
 MFEM_USE_STRUMPACK     = @MFEM_USE_STRUMPACK@
 MFEM_USE_GINKGO        = @MFEM_USE_GINKGO@
 MFEM_USE_AMGX          = @MFEM_USE_AMGX@
+MFEM_USE_MAGMA         = @MFEM_USE_MAGMA@
 MFEM_USE_GNUTLS        = @MFEM_USE_GNUTLS@
 MFEM_USE_NETCDF        = @MFEM_USE_NETCDF@
 MFEM_USE_PETSC         = @MFEM_USE_PETSC@

config/defaults.cmake

@@ -40,6 +40,7 @@ option(MFEM_USE_MUMPS "Enable MUMPS usage" OFF)
 option(MFEM_USE_STRUMPACK "Enable STRUMPACK usage" OFF)
 option(MFEM_USE_GINKGO "Enable Ginkgo usage" OFF)
 option(MFEM_USE_AMGX "Enable AmgX usage" OFF)
+option(MFEM_USE_MAGMA "Enable MAGMA usage" OFF)
 option(MFEM_USE_GNUTLS "Enable GNUTLS usage" OFF)
 option(MFEM_USE_GSLIB "Enable GSLIB usage" OFF)
 option(MFEM_USE_NETCDF "Enable NETCDF usage" OFF)
@@ -183,6 +184,10 @@ set(Ginkgo_DIR "${MFEM_DIR}/../ginkgo" CACHE PATH "Path to the Ginkgo library.")
 
 set(AMGX_DIR "${MFEM_DIR}/../amgx" CACHE PATH "Path to AmgX")
 
+set(MAGMA_DIR "${MFEM_DIR}/../magma" CACHE PATH "Path to MAGMA")
+set(MAGMA_REQUIRED_PACKAGES "BLAS" "LAPACK" CACHE STRING
+    "Additional packages required by MAGMA.")
+
 set(GNUTLS_DIR "" CACHE PATH "Path to the GnuTLS library.")
 
 set(GSLIB_DIR "" CACHE PATH "Path to the GSLIB library.")
@@ -259,7 +264,7 @@ set(PARELAG_LIBRARIES "${PARELAG_DIR}/build/src/libParELAG.a" CACHE STRING
     "The ParELAG library.")
 
 set(TRIBOL_DIR "${MFEM_DIR}/../tribol" CACHE PATH "Path to Tribol")
-set(Tribol_REQUIRED_PACKAGES "Axom/core/mint/slam/slic" CACHE STRING 
+set(Tribol_REQUIRED_PACKAGES "Axom/core/mint/slam/slic" CACHE STRING
     "Additional packages required by Tribol")
 
 set(BLAS_INCLUDE_DIRS "" CACHE STRING "Path to BLAS headers.")

config/defaults.mk

@@ -95,6 +95,10 @@ else
    # Silence unused command line argument warnings when generating dependencies
    # with mpicxx and clang
    DEP_FLAGS := -Wno-unused-command-line-argument $(DEP_FLAGS)
+   # Silence "ignoring duplicate libraries" warnings on new (Xcode 15) linker
+   ifneq (,$(findstring PROJECT:dyld,$(shell ld -v 2>&1)))
+      LDFLAGS_INTERNAL = -Xlinker -no_warn_duplicate_libraries
+   endif
 endif
 
 # Set CXXFLAGS to overwrite the default selection of DEBUG_FLAGS/OPTIM_FLAGS
@@ -139,6 +143,7 @@ MFEM_USE_MUMPS         = NO
 MFEM_USE_STRUMPACK     = NO
 MFEM_USE_GINKGO        = NO
 MFEM_USE_AMGX          = NO
+MFEM_USE_MAGMA         = NO
 MFEM_USE_GNUTLS        = NO
 MFEM_USE_NETCDF        = NO
 MFEM_USE_PETSC         = NO
@@ -390,6 +395,11 @@ AMGX_DIR = @MFEM_DIR@/../amgx
 AMGX_OPT = -I$(AMGX_DIR)/include
 AMGX_LIB = -L$(AMGX_DIR)/lib -lamgx -lcusparse -lcusolver -lcublas -lnvToolsExt
 
+# MAGMA library configuration
+MAGMA_DIR = @MFEM_DIR@/../magma
+MAGMA_OPT = -I$(MAGMA_DIR)/include
+MAGMA_LIB = -L$(MAGMA_DIR)/lib -l:libmagma.a -lcublas -lcusparse $(LAPACK_LIB)
+
 # GnuTLS library configuration
 GNUTLS_OPT =
 GNUTLS_LIB = -lgnutls
@@ -497,11 +507,11 @@ GSLIB_LIB = -L$(GSLIB_DIR)/lib -lgs
 
 # CUDA library configuration
 CUDA_OPT =
-CUDA_LIB = -lcusparse
+CUDA_LIB = -lcusparse -lcublas
 
 # HIP library configuration
 HIP_OPT =
-HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse
+HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse -lhipblas
 
 # OCCA library configuration
 OCCA_DIR = @MFEM_DIR@/../occa

doc/CodeDocumentation.conf.in

@@ -938,6 +938,7 @@ INPUT                  = @MFEM_SOURCE_DIR@/doc/CodeDocumentation.dox \
                          @MFEM_SOURCE_DIR@/config \
                          @MFEM_SOURCE_DIR@/general \
                          @MFEM_SOURCE_DIR@/linalg \
+                         @MFEM_SOURCE_DIR@/linalg/batched \
                          @MFEM_SOURCE_DIR@/linalg/simd \
                          @MFEM_SOURCE_DIR@/mesh \
                          @MFEM_SOURCE_DIR@/mesh/submesh \

examples/amgx/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/amgx/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/caliper/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/caliper,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/ex10.cpp

@@ -87,16 +87,16 @@ public:
                         real_t visc, real_t mu, real_t K);
 
    /// Compute the right-hand side of the ODE system.
-   virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
+   void Mult(const Vector &vx, Vector &dvx_dt) const override;
    /** Solve the Backward-Euler equation: k = f(x + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
    real_t ElasticEnergy(const Vector &x) const;
    real_t KineticEnergy(const Vector &v) const;
    void GetElasticEnergyDensity(const GridFunction &x, GridFunction &w) const;
 
-   virtual ~HyperelasticOperator();
+   ~HyperelasticOperator() override;
 };
 
 /** Nonlinear operator of the form:
@@ -120,12 +120,12 @@ public:
    void SetParameters(real_t dt_, const Vector *v_, const Vector *x_);
 
    /// Compute y = H(x + dt (v + dt k)) + M k + S (v + dt k).
-   virtual void Mult(const Vector &k, Vector &y) const;
+   void Mult(const Vector &k, Vector &y) const override;
 
    /// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
-   virtual Operator &GetGradient(const Vector &k) const;
+   Operator &GetGradient(const Vector &k) const override;
 
-   virtual ~ReducedSystemOperator();
+   ~ReducedSystemOperator() override;
 };
 
 
@@ -141,8 +141,8 @@ private:
 public:
    ElasticEnergyCoefficient(HyperelasticModel &m, const GridFunction &x_)
       : model(m), x(x_) { }
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
-   virtual ~ElasticEnergyCoefficient() { }
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
+   ~ElasticEnergyCoefficient() override { }
 };
 
 void InitialDeformation(const Vector &x, Vector &y);

examples/ex10p.cpp

@@ -89,17 +89,17 @@ public:
                         real_t visc, real_t mu, real_t K);
 
    /// Compute the right-hand side of the ODE system.
-   virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
+   void Mult(const Vector &vx, Vector &dvx_dt) const override;
    /** Solve the Backward-Euler equation: k = f(x + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
    real_t ElasticEnergy(const ParGridFunction &x) const;
    real_t KineticEnergy(const ParGridFunction &v) const;
    void GetElasticEnergyDensity(const ParGridFunction &x,
                                 ParGridFunction &w) const;
 
-   virtual ~HyperelasticOperator();
+   ~HyperelasticOperator() override;
 };
 
 /** Nonlinear operator of the form:
@@ -125,12 +125,12 @@ public:
    void SetParameters(real_t dt_, const Vector *v_, const Vector *x_);
 
    /// Compute y = H(x + dt (v + dt k)) + M k + S (v + dt k).
-   virtual void Mult(const Vector &k, Vector &y) const;
+   void Mult(const Vector &k, Vector &y) const override;
 
    /// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
-   virtual Operator &GetGradient(const Vector &k) const;
+   Operator &GetGradient(const Vector &k) const override;
 
-   virtual ~ReducedSystemOperator();
+   ~ReducedSystemOperator() override;
 };
 
 
@@ -146,8 +146,8 @@ private:
 public:
    ElasticEnergyCoefficient(HyperelasticModel &m, const ParGridFunction &x_)
       : model(m), x(x_) { }
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
-   virtual ~ElasticEnergyCoefficient() { }
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
+   ~ElasticEnergyCoefficient() override { }
 };
 
 void InitialDeformation(const Vector &x, Vector &y);

examples/ex14p.cpp

@@ -53,7 +53,7 @@ public:
       pmesh(pmesh_),
       pgf(pgf_) {}
 
-   void MonitorSolution(int i, real_t norm, const Vector &x, bool final)
+   void MonitorSolution(int i, real_t norm, const Vector &x, bool final) override
    {
       char vishost[] = "localhost";
       int  visport   = 19916;

examples/ex16.cpp

@@ -76,15 +76,15 @@ public:
    ConductionOperator(FiniteElementSpace &f, real_t alpha, real_t kappa,
                       const Vector &u);
 
-   virtual void Mult(const Vector &u, Vector &du_dt) const;
+   void Mult(const Vector &u, Vector &du_dt) const override;
    /** Solve the Backward-Euler equation: k = f(u + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &u, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
 
    /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
    void SetParameters(const Vector &u);
 
-   virtual ~ConductionOperator();
+   ~ConductionOperator() override;
 };
 
 real_t InitialTemperature(const Vector &x);

examples/ex16p.cpp

@@ -78,15 +78,15 @@ public:
    ConductionOperator(ParFiniteElementSpace &f, real_t alpha, real_t kappa,
                       const Vector &u);
 
-   virtual void Mult(const Vector &u, Vector &du_dt) const;
+   void Mult(const Vector &u, Vector &du_dt) const override;
    /** Solve the Backward-Euler equation: k = f(u + dt*k, t), for the unknown k.
        This is the only requirement for high-order SDIRK implicit integration.*/
-   virtual void ImplicitSolve(const real_t dt, const Vector &u, Vector &k);
+   void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
 
    /// Update the diffusion BilinearForm K using the given true-dof vector `u`.
    void SetParameters(const Vector &u);
 
-   virtual ~ConductionOperator();
+   ~ConductionOperator() override;
 };
 
 real_t InitialTemperature(const Vector &x);

examples/ex17.cpp

@@ -69,7 +69,7 @@ public:
    void SetDisplacement(GridFunction &u_) { u = &u_; }
    void SetComponent(int i, int j) { si = i; sj = j; }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 // Simple GLVis visualization manager.
@@ -89,7 +89,7 @@ public:
    void NewWindow();
    void CloseConnection();
    void PositionWindow();
-   virtual ~VisMan();
+   ~VisMan() override;
 };
 
 // Manipulators for the GLVis visualization manager.

examples/ex17p.cpp

@@ -69,7 +69,7 @@ public:
    void SetDisplacement(GridFunction &u_) { u = &u_; }
    void SetComponent(int i, int j) { si = i; sj = j; }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 // Simple GLVis visualization manager.
@@ -89,7 +89,7 @@ public:
    void NewWindow();
    void CloseConnection();
    void PositionWindow();
-   virtual ~VisMan();
+   ~VisMan() override;
 };
 
 // Manipulators for the GLVis visualization manager.

examples/ex19.cpp

@@ -48,7 +48,7 @@ public:
       print_level = print_lvl;
    }
 
-   virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
+   void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
 
 private:
    const std::string prefix;
@@ -116,10 +116,10 @@ public:
    JacobianPreconditioner(Array<FiniteElementSpace *> &fes,
                           SparseMatrix &mass, Array<int> &offsets);
 
-   virtual void Mult(const Vector &k, Vector &y) const;
-   virtual void SetOperator(const Operator &op);
+   void Mult(const Vector &k, Vector &y) const override;
+   void SetOperator(const Operator &op) override;
 
-   virtual ~JacobianPreconditioner();
+   ~JacobianPreconditioner() override;
 };
 
 // After spatial discretization, the rubber model can be written as:
@@ -161,13 +161,13 @@ public:
                   int iter, Coefficient &mu);
 
    // Required to use the native newton solver
-   virtual Operator &GetGradient(const Vector &xp) const;
-   virtual void Mult(const Vector &k, Vector &y) const;
+   Operator &GetGradient(const Vector &xp) const override;
+   void Mult(const Vector &k, Vector &y) const override;
 
    // Driver for the newton solver
    void Solve(Vector &xp) const;
 
-   virtual ~RubberOperator();
+   ~RubberOperator() override;
 };
 
 // Visualization driver

examples/ex19p.cpp

@@ -62,7 +62,7 @@ public:
 #endif
    }
 
-   virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
+   void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
 
 private:
    const std::string prefix;
@@ -130,10 +130,10 @@ public:
    JacobianPreconditioner(Array<ParFiniteElementSpace *> &fes,
                           Operator &mass, Array<int> &offsets);
 
-   virtual void Mult(const Vector &k, Vector &y) const;
-   virtual void SetOperator(const Operator &op);
+   void Mult(const Vector &k, Vector &y) const override;
+   void SetOperator(const Operator &op) override;
 
-   virtual ~JacobianPreconditioner();
+   ~JacobianPreconditioner() override;
 };
 
 // After spatial discretization, the rubber model can be written as:
@@ -175,13 +175,13 @@ public:
                   int iter, Coefficient &mu);
 
    // Required to use the native newton solver
-   virtual Operator &GetGradient(const Vector &xp) const;
-   virtual void Mult(const Vector &k, Vector &y) const;
+   Operator &GetGradient(const Vector &xp) const override;
+   void Mult(const Vector &k, Vector &y) const override;
 
    // Driver for the newton solver
    void Solve(Vector &xp) const;
 
-   virtual ~RubberOperator();
+   ~RubberOperator() override;
 };
 
 // Visualization driver

examples/ex20.cpp

@@ -79,14 +79,14 @@ class GradT : public Operator
 {
 public:
    GradT() : Operator(1) {}
-   void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
+   void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
 };
 
 class NegGradV : public TimeDependentOperator
 {
 public:
    NegGradV() : TimeDependentOperator(1) {}
-   void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
 };
 
 int main(int argc, char *argv[])

examples/ex20p.cpp

@@ -84,14 +84,14 @@ class GradT : public Operator
 {
 public:
    GradT() : Operator(1) {}
-   void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
+   void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
 };
 
 class NegGradV : public TimeDependentOperator
 {
 public:
    NegGradV() : TimeDependentOperator(1) {}
-   void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
 };
 
 int main(int argc, char *argv[])

examples/ex23.cpp

@@ -44,7 +44,7 @@ protected:
    BilinearForm *M;
    BilinearForm *K;
 
-   SparseMatrix Mmat, Kmat, Kmat0;
+   SparseMatrix Mmat, Kmat;
    SparseMatrix *T; // T = M + dt K
    real_t current_dt;
 
@@ -61,20 +61,20 @@ public:
    WaveOperator(FiniteElementSpace &f, Array<int> &ess_bdr, real_t speed);
 
    using SecondOrderTimeDependentOperator::Mult;
-   virtual void Mult(const Vector &u, const Vector &du_dt,
-                     Vector &d2udt2) const;
+   void Mult(const Vector &u, const Vector &du_dt,
+             Vector &d2udt2) const override;
 
    /** Solve the Backward-Euler equation:
        d2udt2 = f(u + fac0*d2udt2,dudt + fac1*d2udt2, t),
        for the unknown d2udt2. */
    using SecondOrderTimeDependentOperator::ImplicitSolve;
-   virtual void ImplicitSolve(const real_t fac0, const real_t fac1,
-                              const Vector &u, const Vector &dudt, Vector &d2udt2);
+   void ImplicitSolve(const real_t fac0, const real_t fac1,
+                      const Vector &u, const Vector &dudt, Vector &d2udt2) override;
 
    ///
    void SetParameters(const Vector &u);
 
-   virtual ~WaveOperator();
+   ~WaveOperator() override;
 };
 
 
@@ -83,25 +83,24 @@ WaveOperator::WaveOperator(FiniteElementSpace &f,
    : SecondOrderTimeDependentOperator(f.GetTrueVSize(), (real_t) 0.0),
      fespace(f), M(NULL), K(NULL), T(NULL), current_dt(0.0), z(height)
 {
-   const real_t rel_tol = 1e-8;
-
-   fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
-
+   // Assemble Laplace matrix
    c2 = new ConstantCoefficient(speed*speed);
-
    K = new BilinearForm(&fespace);
    K->AddDomainIntegrator(new DiffusionIntegrator(*c2));
    K->Assemble();
 
-   Array<int> dummy;
-   K->FormSystemMatrix(dummy, Kmat0);
-   K->FormSystemMatrix(ess_tdof_list, Kmat);
-
+   // Assemble Mass matrix
    M = new BilinearForm(&fespace);
    M->AddDomainIntegrator(new MassIntegrator());
    M->Assemble();
+
+   // Apply Bcs
+   fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
+   K->FormSystemMatrix(ess_tdof_list, Kmat);
    M->FormSystemMatrix(ess_tdof_list, Mmat);
 
+   // Configure preconditioner
+   const real_t rel_tol = 1e-8;
    M_solver.iterative_mode = false;
    M_solver.SetRelTol(rel_tol);
    M_solver.SetAbsTol(0.0);
@@ -110,14 +109,13 @@ WaveOperator::WaveOperator(FiniteElementSpace &f,
    M_solver.SetPreconditioner(M_prec);
    M_solver.SetOperator(Mmat);
 
+   // Configure solver
    T_solver.iterative_mode = false;
    T_solver.SetRelTol(rel_tol);
    T_solver.SetAbsTol(0.0);
    T_solver.SetMaxIter(100);
    T_solver.SetPrintLevel(0);
    T_solver.SetPreconditioner(T_prec);
-
-   T = NULL;
 }
 
 void WaveOperator::Mult(const Vector &u, const Vector &du_dt,
@@ -126,9 +124,11 @@ void WaveOperator::Mult(const Vector &u, const Vector &du_dt,
    // Compute:
    //    d2udt2 = M^{-1}*-K(u)
    // for d2udt2
-   Kmat.Mult(u, z);
+   K->FullMult(u, z);
    z.Neg(); // z = -z
+   z.SetSubVector(ess_tdof_list, 0.0);
    M_solver.Mult(z, d2udt2);
+   d2udt2.SetSubVector(ess_tdof_list, 0.0);
 }
 
 void WaveOperator::ImplicitSolve(const real_t fac0, const real_t fac1,
@@ -142,14 +142,11 @@ void WaveOperator::ImplicitSolve(const real_t fac0, const real_t fac1,
       T = Add(1.0, Mmat, fac0, Kmat);
       T_solver.SetOperator(*T);
    }
-   Kmat0.Mult(u, z);
+   K->FullMult(u, z);
    z.Neg();
-
-   for (int i = 0; i < ess_tdof_list.Size(); i++)
-   {
-      z[ess_tdof_list[i]] = 0.0;
-   }
+   z.SetSubVector(ess_tdof_list, 0.0);
    T_solver.Mult(z, d2udt2);
+   d2udt2.SetSubVector(ess_tdof_list, 0.0);
 }
 
 void WaveOperator::SetParameters(const Vector &u)
@@ -314,7 +311,6 @@ int main(int argc, char *argv[])
          ess_bdr = 0;
       }
    }
-
    WaveOperator oper(fespace, ess_bdr, speed);
 
    u_gf.SetFromTrueDofs(u);

examples/ex25.cpp

@@ -103,8 +103,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &K, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       real_t x[3];
       Vector transip(x, 3);

examples/ex25p.cpp

@@ -102,8 +102,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &K, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       real_t x[3];
       Vector transip(x, 3);

examples/ex26p.cpp

@@ -58,7 +58,7 @@ public:
       }
    }
 
-   virtual ~DiffusionMultigrid()
+   ~DiffusionMultigrid() override
    {
       delete amg;
    }

examples/ex36.cpp

@@ -53,7 +53,7 @@ public:
                                     real_t min_val_=-36)
       : u(&u_), obstacle(&obst_), min_val(min_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 class ExponentialGridFunctionCoefficient : public Coefficient
@@ -69,7 +69,7 @@ public:
                                       real_t min_val_=0.0, real_t max_val_=1e6)
       : u(&u_), obstacle(&obst_), min_val(min_val_), max_val(max_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 int main(int argc, char *argv[])
@@ -258,7 +258,7 @@ int main(int argc, char *argv[])
          MixedBilinearForm a10(&H1fes,&L2fes);
          a10.AddDomainIntegrator(new MixedScalarMassIntegrator());
          a10.Assemble();
-         a10.EliminateTrialDofs(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
+         a10.EliminateTrialEssentialBC(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
          a10.Finalize();
          SparseMatrix &A10 = a10.SpMat();
 

examples/ex36p.cpp

@@ -53,7 +53,7 @@ public:
                                     real_t min_val_=-36)
       : u(&u_), obstacle(&obst_), min_val(min_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 class ExponentialGridFunctionCoefficient : public Coefficient
@@ -69,7 +69,7 @@ public:
                                       real_t min_val_=0.0, real_t max_val_=1e6)
       : u(&u_), obstacle(&obst_), min_val(min_val_), max_val(max_val_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 int main(int argc, char *argv[])

examples/ex37.hpp

@@ -52,8 +52,8 @@ public:
        fun(fun_) {}
 
 
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       return fun(GridFunctionCoefficient::Eval(T, ip));
    }
@@ -83,8 +83,8 @@ public:
        OtherGridF_cf(OtherGridF),
        fun(fun_) {}
 
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       const real_t value1 = fun(GridFunctionCoefficient::Eval(T, ip));
       const real_t value2 = fun(OtherGridF_cf.Eval(T, ip));
@@ -108,7 +108,7 @@ public:
       : rho_filter(rho_filter_), min_val(min_val_), max_val(max_val_),
         exponent(exponent_) { }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    {
       real_t val = rho_filter->GetValue(T, ip);
       real_t coeff = min_val + pow(val,exponent)*(max_val-min_val);
@@ -142,7 +142,7 @@ public:
       MFEM_ASSERT(rho_filter, "density field is not set");
    }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    {
       real_t L = lambda->Eval(T, ip);
       real_t M = mu->Eval(T, ip);
@@ -176,8 +176,8 @@ public:
 
    using VectorCoefficient::Eval;
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       Vector xx; xx.SetSize(T.GetDimension());
       T.Transform(ip,xx);

examples/ex38.cpp

@@ -408,9 +408,9 @@ public:
     @param [in] Tr transformation of finite element
     @param [out] elvect vector containing the
    */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect) override
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override
    {
       int dof = el.GetDof();
       shape.SetSize(dof);
@@ -476,9 +476,9 @@ public:
     @param [in] Tr transformation of finite element
     @param [out] elvect vector containing the
    */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect) override
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override
    {
       int dof = el.GetDof();
       shape.SetSize(dof);

examples/ex40.cpp

@@ -67,8 +67,10 @@ public:
    ZCoefficient(int vdim, GridFunction &psi_, real_t alpha_ = 1.0)
       : VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   using VectorCoefficient::Eval;
+
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 
@@ -82,8 +84,8 @@ public:
    DZCoefficient(int height, GridFunction &psi_, real_t alpha_ = 1.0)
       : MatrixCoefficient(height),  psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 

examples/ex40p.cpp

@@ -67,8 +67,10 @@ public:
    ZCoefficient(int vdim, ParGridFunction &psi_, real_t alpha_ = 1.0)
       : VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   using VectorCoefficient::Eval;
+
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 
@@ -82,8 +84,8 @@ public:
    DZCoefficient(int height, ParGridFunction &psi_, real_t alpha_ = 1.0)
       : MatrixCoefficient(height),  psi(&psi_), alpha(alpha_) { }
 
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    void SetAlpha(real_t alpha_) { alpha = alpha_; }
 };
 

examples/ex8.cpp

@@ -157,7 +157,7 @@ int main(int argc, char *argv[])
    MixedBilinearForm *B0 = new MixedBilinearForm(x0_space,test_space);
    B0->AddDomainIntegrator(new DiffusionIntegrator(one));
    B0->Assemble();
-   B0->EliminateTrialDofs(ess_bdr, x.GetBlock(x0_var), F);
+   B0->EliminateTrialEssentialBC(ess_bdr, x.GetBlock(x0_var), F);
    B0->Finalize();
 
    MixedBilinearForm *Bhat = new MixedBilinearForm(xhat_space,test_space);

examples/ex9.cpp

@@ -104,12 +104,12 @@ public:
       }
    }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       linear_solver.SetOperator(op);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       linear_solver.Mult(x, y);
    }
@@ -134,10 +134,10 @@ private:
 public:
    FE_Evolution(BilinearForm &M_, BilinearForm &K_, const Vector &b_);
 
-   virtual void Mult(const Vector &x, Vector &y) const;
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void Mult(const Vector &x, Vector &y) const override;
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
-   virtual ~FE_Evolution();
+   ~FE_Evolution() override;
 };
 
 

examples/ex9p.cpp

@@ -92,7 +92,7 @@ private:
 public:
    AIR_prec(int blocksize_) : AIR_solver(NULL), blocksize(blocksize_) { }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       width = op.Width();
       height = op.Height();
@@ -110,7 +110,7 @@ public:
       AIR_solver->SetMaxLevels(50);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       // Scale the rhs by block inverse and solve system
       HypreParVector z_s;
@@ -119,7 +119,7 @@ public:
       AIR_solver->Mult(z_s, y);
    }
 
-   ~AIR_prec()
+   ~AIR_prec() override
    {
       delete AIR_solver;
    }
@@ -185,17 +185,17 @@ public:
       }
    }
 
-   void SetOperator(const Operator &op)
+   void SetOperator(const Operator &op) override
    {
       linear_solver.SetOperator(op);
    }
 
-   virtual void Mult(const Vector &x, Vector &y) const
+   void Mult(const Vector &x, Vector &y) const override
    {
       linear_solver.Mult(x, y);
    }
 
-   ~DG_Solver()
+   ~DG_Solver() override
    {
       delete prec;
       delete A;
@@ -223,10 +223,10 @@ public:
    FE_Evolution(ParBilinearForm &M_, ParBilinearForm &K_, const Vector &b_,
                 PrecType prec_type);
 
-   virtual void Mult(const Vector &x, Vector &y) const;
-   virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
+   void Mult(const Vector &x, Vector &y) const override;
+   void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
 
-   virtual ~FE_Evolution();
+   ~FE_Evolution() override;
 };
 
 

examples/ginkgo/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/ginkgo/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/hiop/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/hiop/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ..
 MFEM_BUILD_DIR ?= ..
+MFEM_INSTALL_DIR ?= ../mfem
 SRC = $(if $(MFEM_DIR:..=),$(MFEM_DIR)/examples/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/moonolith/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/moonolith/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/petsc/ex10p.cpp

@@ -206,6 +206,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool petsc_use_jfnk = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -243,6 +244,8 @@ int main(int argc, char *argv[])
    args.AddOption(&petsc_use_jfnk, "-jfnk", "--jfnk", "-no-jfnk",
                   "--no-jfnk",
                   "Use JFNK with user-defined preconditioner factory.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -257,7 +260,12 @@ int main(int argc, char *argv[])
       args.PrintOptions(cout);
    }
 
-   // 2b. We initialize PETSc
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc)
    {
       MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL);

examples/petsc/ex2p.cpp

@@ -67,6 +67,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -95,6 +96,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -109,7 +112,12 @@ int main(int argc, char *argv[])
       args.PrintOptions(cout);
    }
 
-   // 2b. We initialize PETSc
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We

examples/petsc/ex3p.cpp

@@ -61,6 +61,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -87,6 +88,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -100,10 +103,16 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
-   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
    kappa = freq * M_PI;
 
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
+   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
+
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
    //    can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
    //    and volume meshes with the same code.

examples/petsc/ex4p.cpp

@@ -58,6 +58,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -88,6 +89,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -101,10 +104,16 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
-   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
    kappa = freq * M_PI;
 
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
+   if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
+
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
    //    can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
    //    and volume, as well as periodic meshes with the same code.

examples/petsc/ex5p.cpp

@@ -59,6 +59,8 @@ int main(int argc, char *argv[])
 
    // 2. Parse command-line options.
    const char *mesh_file = "../../data/star.mesh";
+   int ser_ref_levels = -1;
+   int par_ref_levels = 2;
    int order = 1;
    bool par_format = false;
    bool visualization = 1;
@@ -66,15 +68,22 @@ int main(int argc, char *argv[])
    bool use_nonoverlapping = false;
    bool local_bdr_spec = false;
    const char *petscrc_file = "";
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
                   "Mesh file to use.");
+   args.AddOption(&ser_ref_levels, "-rs", "--refine-serial",
+                  "Number of times to refine the mesh uniformly in serial.");
+   args.AddOption(&par_ref_levels, "-rp", "--refine-parallel",
+                  "Number of times to refine the mesh uniformly in parallel.");
    args.AddOption(&order, "-o", "--order",
                   "Finite element order (polynomial degree).");
    args.AddOption(&par_format, "-pf", "--parallel-format", "-sf",
                   "--serial-format",
                   "Format to use when saving the results for VisIt.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
                   "--no-visualization",
                   "Enable or disable GLVis visualization.");
@@ -103,7 +112,13 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
+
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We
@@ -117,9 +132,11 @@ int main(int argc, char *argv[])
    //    'ref_levels' to be the largest number that gives a final mesh with no
    //    more than 10,000 elements.
    {
-      int ref_levels =
-         (int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
-      for (int l = 0; l < ref_levels; l++)
+      if (ser_ref_levels < 0)
+      {
+         ser_ref_levels = (int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
+      }
+      for (int l = 0; l < ser_ref_levels; l++)
       {
          mesh->UniformRefinement();
       }
@@ -131,7 +148,6 @@ int main(int argc, char *argv[])
    ParMesh *pmesh = new ParMesh(MPI_COMM_WORLD, *mesh);
    delete mesh;
    {
-      int par_ref_levels = 2;
       for (int l = 0; l < par_ref_levels; l++)
       {
          pmesh->UniformRefinement();
@@ -187,21 +203,26 @@ int main(int argc, char *argv[])
 
    // 9. Define the parallel grid function and parallel linear forms, solution
    //    vector and rhs.
-   BlockVector x(block_offsets), rhs(block_offsets);
-   BlockVector trueX(block_trueOffsets), trueRhs(block_trueOffsets);
+   MemoryType mt = device.GetMemoryType();
+   BlockVector x(block_offsets, mt), rhs(block_offsets, mt);
+   BlockVector trueX(block_trueOffsets, mt), trueRhs(block_trueOffsets, mt);
 
    ParLinearForm *fform(new ParLinearForm);
    fform->Update(R_space, rhs.GetBlock(0), 0);
    fform->AddDomainIntegrator(new VectorFEDomainLFIntegrator(fcoeff));
    fform->AddBoundaryIntegrator(new VectorFEBoundaryFluxLFIntegrator(fnatcoeff));
    fform->Assemble();
+   fform->SyncAliasMemory(rhs);
    fform->ParallelAssemble(trueRhs.GetBlock(0));
+   trueRhs.GetBlock(0).SyncAliasMemory(trueRhs);
 
    ParLinearForm *gform(new ParLinearForm);
    gform->Update(W_space, rhs.GetBlock(1), 0);
    gform->AddDomainIntegrator(new DomainLFIntegrator(gcoeff));
    gform->Assemble();
+   gform->SyncAliasMemory(rhs);
    gform->ParallelAssemble(trueRhs.GetBlock(1));
+   trueRhs.GetBlock(1).SyncAliasMemory(trueRhs);
 
    // 10. Assemble the finite element matrices for the Darcy operator
    //

examples/petsc/ex6p.cpp

@@ -53,6 +53,7 @@ int main(int argc, char *argv[])
    bool use_petsc = true;
    const char *petscrc_file = "";
    bool use_nonoverlapping = false;
+   const char *device_config = "cpu";
 
    OptionsParser args(argc, argv);
    args.AddOption(&mesh_file, "-m", "--mesh",
@@ -73,6 +74,8 @@ int main(int argc, char *argv[])
                   "-no-nonoverlapping", "--no-nonoverlapping",
                   "Use or not the block diagonal PETSc's matrix format "
                   "for non-overlapping domain decomposition.");
+   args.AddOption(&device_config, "-d", "--device",
+                  "Device configuration string, see Device::Configure().");
    args.Parse();
    if (!args.Good())
    {
@@ -86,7 +89,13 @@ int main(int argc, char *argv[])
    {
       args.PrintOptions(cout);
    }
-   // 2b. We initialize PETSc
+
+   // 2b. Enable hardware devices such as GPUs, and programming models such as
+   //    CUDA, OCCA, RAJA and OpenMP based on command line options.
+   Device device(device_config);
+   if (myid == 0) { device.Print(); }
+
+   // 2c. We initialize PETSc
    if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
 
    // 3. Read the (serial) mesh from the given mesh file on all processors.  We

examples/petsc/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/petsc/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/pumi/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/pumi/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/sundials/ex10.cpp

@@ -9,9 +9,9 @@
 //    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s 12 -dt 0.15 -vs 10
 //    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s 16 -dt 0.3  -vs 5
 //    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s 12 -dt 0.2  -vs 5
-//    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s  2 -dt 3 -nls kinsol
-//    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s  2 -dt 3 -nls kinsol
-//    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s  2 -dt 3 -nls kinsol
+//    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s  2 -dt 3 -nls 1
+//    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s  2 -dt 3 -nls 2
+//    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s  2 -dt 3 -nls 4
 //    ex10 -m ../../data/beam-quad.mesh -r 2 -o 2 -s 14 -dt 0.15 -vs 10
 //    ex10 -m ../../data/beam-tri.mesh  -r 2 -o 2 -s 17 -dt 0.01 -vs 30
 //    ex10 -m ../../data/beam-hex.mesh  -r 1 -o 2 -s 14 -dt 0.15 -vs 10
@@ -99,16 +99,11 @@ protected:
    double saved_gamma; // saved gamma value from implicit setup
 
 public:
-   /// Solver type to use in the ImplicitSolve() method, used by SDIRK methods.
-   enum NonlinearSolverType
-   {
-      NEWTON = 0, ///< Use MFEM's plain NewtonSolver
-      KINSOL = 1  ///< Use SUNDIALS' KINSOL (through MFEM's class KINSolver)
-   };
 
    HyperelasticOperator(FiniteElementSpace &f, Array<int> &ess_bdr,
                         double visc, double mu, double K,
-                        NonlinearSolverType nls_type);
+                        int kinsol_nls_type = -1, double kinsol_damping = 0.0,
+                        int kinsol_aa_n = 0);
 
    /// Compute the right-hand side of the ODE system.
    virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
@@ -226,8 +221,10 @@ int main(int argc, char *argv[])
    double mu = 0.25;
    double K = 5.0;
    bool visualization = true;
-   const char *nls = "newton";
+   int nonlinear_solver_type = 0;
    int vis_steps = 1;
+   double kinsol_damping = 0.0;
+   int kinsol_aa_n = -1;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
    const double reltol = 1e-1, abstol = 1e-1;
@@ -264,9 +261,18 @@ int main(int argc, char *argv[])
                   "15 - ARKODE implicit, approximate Jacobian,\n\t"
                   "16 - ARKODE implicit, specified Jacobian,\n\t"
                   "17 - ARKODE explicit, 4th order.");
-   args.AddOption(&nls, "-nls", "--nonlinear-solver",
-                  "Nonlinear systems solver: "
-                  "\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
+   args.AddOption(&nonlinear_solver_type, "-nls", "--nonlinear-solver",
+                  "Nonlinear system solver:\n\t"
+                  "0  - MFEM Newton method,\n\t"
+                  "1  - KINSOL Newton method,\n\t"
+                  "2  - KINSOL Newton method with globalization,\n\t"
+                  "3  - KINSOL fixed-point method (with or without AA),\n\t"
+                  "4  - KINSOL Picard method (with or without AA).");
+   args.AddOption(&kinsol_damping, "-damp", "--kinsol-damping",
+                  "Picard or Fixed-Point damping parameter (only valid with KINSOL): "
+                  "0 < d <= 1.0");
+   args.AddOption(&kinsol_aa_n, "-aan", "--anderson-subspace",
+                  "Anderson Acceleration subspace size (only valid with KINSOL)");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -297,22 +303,32 @@ int main(int argc, char *argv[])
       return 1;
    }
 
+   // check for valid nonlinear solver options
+   if (nonlinear_solver_type < 0 || nonlinear_solver_type > 4)
+   {
+      cout << "Unknown nonlinear solver type: " << nonlinear_solver_type << "\n";
+      return 1;
+   }
+   if (kinsol_damping > 0.0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      cout << "Only KINSOL fixed-point and Picard methods can use damping\n";
+      return 1;
+   }
+   if (kinsol_aa_n > 0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      cout << "Only KINSOL fixed-point and Picard methods can use AA\n";
+      return 1;
+   }
+
+
    // 2. Read the mesh from the given mesh file. We can handle triangular,
    //    quadrilateral, tetrahedral and hexahedral meshes with the same code.
    Mesh *mesh = new Mesh(mesh_file, 1, 1);
    int dim = mesh->Dimension();
 
-   // 3. Setup the nonlinear solver
-   map<string,HyperelasticOperator::NonlinearSolverType> nls_map;
-   nls_map["newton"] = HyperelasticOperator::NEWTON;
-   nls_map["kinsol"] = HyperelasticOperator::KINSOL;
-   if (nls_map.find(nls) == nls_map.end())
-   {
-      cout << "Unknown type of nonlinear solver: " << nls << endl;
-      return 4;
-   }
-
-   // 4. Refine the mesh to increase the resolution. In this example we do
+   // 3. Refine the mesh to increase the resolution. In this example we do
    //    'ref_levels' of uniform refinement, where 'ref_levels' is a
    //    command-line parameter.
    for (int lev = 0; lev < ref_levels; lev++)
@@ -320,7 +336,7 @@ int main(int argc, char *argv[])
       mesh->UniformRefinement();
    }
 
-   // 5. Define the vector finite element spaces representing the mesh
+   // 4. Define the vector finite element spaces representing the mesh
    //    deformation x, the velocity v, and the initial configuration, x_ref.
    //    Define also the elastic energy density, w, which is in a discontinuous
    //    higher-order space. Since x and v are integrated in time as a system,
@@ -348,7 +364,7 @@ int main(int argc, char *argv[])
    FiniteElementSpace w_fespace(mesh, &w_fec);
    GridFunction w(&w_fespace);
 
-   // 6. Set the initial conditions for v and x, and the boundary conditions on
+   // 5. Set the initial conditions for v and x, and the boundary conditions on
    //    a beam-like mesh (see description above).
    VectorFunctionCoefficient velo(dim, InitialVelocity);
    v.ProjectCoefficient(velo);
@@ -361,9 +377,34 @@ int main(int argc, char *argv[])
    ess_bdr = 0;
    ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
 
-   // 7. Initialize the hyperelastic operator, the GLVis visualization and print
+   // 6. Initialize the hyperelastic operator, the GLVis visualization and print
    //    the initial energies.
-   HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
+   std::unique_ptr<HyperelasticOperator> oper;
+   if (nonlinear_solver_type == 0)
+      oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr, visc, mu,
+                                                    K);
+   else
+   {
+      switch (nonlinear_solver_type)
+      {
+         case 1:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_NONE);
+            break;
+         case 2:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_LINESEARCH);
+            break;
+         case 3:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_FP, kinsol_damping, kinsol_aa_n);
+            break;
+         case 4:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_PICARD, kinsol_damping, kinsol_aa_n);
+            break;
+      }
+   }
 
    socketstream vis_v, vis_w;
    if (visualization)
@@ -377,23 +418,23 @@ int main(int argc, char *argv[])
       vis_w.open(vishost, visport);
       if (vis_w)
       {
-         oper.GetElasticEnergyDensity(x, w);
+         oper->GetElasticEnergyDensity(x, w);
          vis_w.precision(8);
          visualize(vis_w, mesh, &x, &w, "Elastic energy density", true);
       }
    }
 
-   double ee0 = oper.ElasticEnergy(x.GetTrueVector());
-   double ke0 = oper.KineticEnergy(v.GetTrueVector());
+   double ee0 = oper->ElasticEnergy(x.GetTrueVector());
+   double ke0 = oper->KineticEnergy(v.GetTrueVector());
    cout << "initial elastic energy (EE) = " << ee0 << endl;
    cout << "initial kinetic energy (KE) = " << ke0 << endl;
    cout << "initial   total energy (TE) = " << (ee0 + ke0) << endl;
 
-   // 8. Define the ODE solver used for time integration. Several implicit
+   // 7. Define the ODE solver used for time integration. Several implicit
    //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
    //    explicit Runge-Kutta methods are available.
    double t = 0.0;
-   oper.SetTime(t);
+   oper->SetTime(t);
 
    ODESolver *ode_solver = NULL;
    CVODESolver *cvode = NULL;
@@ -417,7 +458,7 @@ int main(int argc, char *argv[])
       case 11:
       case 12:
          cvode = new CVODESolver(CV_BDF);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -430,7 +471,7 @@ int main(int argc, char *argv[])
       case 13:
       case 14:
          cvode = new CVODESolver(CV_ADAMS);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -443,7 +484,7 @@ int main(int argc, char *argv[])
       case 15:
       case 16:
          arkode = new ARKStepSolver(ARKStepSolver::IMPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
          arkode->SetMaxStep(dt);
@@ -455,16 +496,16 @@ int main(int argc, char *argv[])
       // ARKStep Explicit methods
       case 17:
          arkode = new ARKStepSolver(ARKStepSolver::EXPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
          ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
-   if (ode_solver_type < 11) { ode_solver->Init(oper); }
+   if (ode_solver_type < 11) { ode_solver->Init(*oper); }
 
-   // 9. Perform time-integration (looping over the time iterations, ti, with a
+   // 8. Perform time-integration (looping over the time iterations, ti, with a
    //    time-step dt).
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
@@ -477,8 +518,8 @@ int main(int argc, char *argv[])
 
       if (last_step || (ti % vis_steps) == 0)
       {
-         double ee = oper.ElasticEnergy(x.GetTrueVector());
-         double ke = oper.KineticEnergy(v.GetTrueVector());
+         double ee = oper->ElasticEnergy(x.GetTrueVector());
+         double ke = oper->KineticEnergy(v.GetTrueVector());
 
          cout << "step " << ti << ", t = " << t << ", EE = " << ee << ", KE = "
               << ke << ", ΔTE = " << (ee+ke)-(ee0+ke0) << endl;
@@ -492,14 +533,14 @@ int main(int argc, char *argv[])
             visualize(vis_v, mesh, &x, &v);
             if (vis_w)
             {
-               oper.GetElasticEnergyDensity(x, w);
+               oper->GetElasticEnergyDensity(x, w);
                visualize(vis_w, mesh, &x, &w);
             }
          }
       }
    }
 
-   // 10. Save the displaced mesh, the velocity and elastic energy.
+   // 9. Save the displaced mesh, the velocity and elastic energy.
    {
       v.SetFromTrueVector(); x.SetFromTrueVector();
       GridFunction *nodes = &x;
@@ -514,11 +555,11 @@ int main(int argc, char *argv[])
       v.Save(velo_ofs);
       ofstream ee_ofs("elastic_energy.sol");
       ee_ofs.precision(8);
-      oper.GetElasticEnergyDensity(x, w);
+      oper->GetElasticEnergyDensity(x, w);
       w.Save(ee_ofs);
    }
 
-   // 11. Free the used memory.
+   // 10. Free the used memory.
    delete ode_solver;
    delete mesh;
 
@@ -602,7 +643,9 @@ ReducedSystemOperator::~ReducedSystemOperator()
 HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
                                            Array<int> &ess_bdr, double visc,
                                            double mu, double K,
-                                           NonlinearSolverType nls_type)
+                                           int kinsol_nls_type,
+                                           double kinsol_damping,
+                                           int kinsol_aa_n)
    : TimeDependentOperator(2*f.GetTrueVSize(), 0.0), fespace(f),
      M(&fespace), S(&fespace), H(&fespace),
      viscosity(visc), z(height/2),
@@ -653,15 +696,28 @@ HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
    J_prec = NULL;
 #endif
 
-   if (nls_type == KINSOL)
+   if (kinsol_nls_type > 0)
    {
-      KINSolver *kinsolver = new KINSolver(KIN_NONE, true);
+      KINSolver *kinsolver = new KINSolver(kinsol_nls_type, true);
+      if (kinsol_nls_type != KIN_PICARD)
+      {
+         kinsolver->SetJFNK(true);
+         kinsolver->SetLSMaxIter(100);
+      }
+      if (kinsol_aa_n > 0)
+      {
+         kinsolver->EnableAndersonAcc(kinsol_aa_n);
+      }
       newton_solver = kinsolver;
       newton_solver->SetOperator(*reduced_oper);
       newton_solver->SetMaxIter(200);
       newton_solver->SetRelTol(rel_tol);
       newton_solver->SetPrintLevel(0);
       kinsolver->SetMaxSetupCalls(4);
+      if (kinsol_damping > 0.0)
+      {
+         kinsolver->SetDamping(kinsol_damping);
+      }
    }
    else
    {

examples/sundials/ex10p.cpp

@@ -9,9 +9,9 @@
 //    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s 12 -dt 0.15 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s 16 -dt 0.25 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rp 0 -o 2 -s 12 -dt 0.15 -vs 10
-//    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s  2 -dt 3 -nls kinsol
-//    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s  2 -dt 3 -nls kinsol
-//    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rs 1 -o 2 -s  2 -dt 3 -nls kinsol
+//    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s  2 -dt 3 -nls 1
+//    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s  2 -dt 3 -nls 2
+//    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rs 1 -o 2 -s  2 -dt 3 -nls 4
 //    mpirun -np 4 ex10p -m ../../data/beam-quad.mesh -rp 1 -o 2 -s 14 -dt 0.15 -vs 10
 //    mpirun -np 4 ex10p -m ../../data/beam-tri.mesh  -rp 1 -o 2 -s 17 -dt 5e-3 -vs 60
 //    mpirun -np 4 ex10p -m ../../data/beam-hex.mesh  -rp 0 -o 2 -s 14 -dt 0.15 -vs 10
@@ -101,16 +101,11 @@ protected:
    double saved_gamma; // saved gamma value from implicit setup
 
 public:
-   /// Solver type to use in the ImplicitSolve() method, used by SDIRK methods.
-   enum NonlinearSolverType
-   {
-      NEWTON = 0, ///< Use MFEM's plain NewtonSolver
-      KINSOL = 1  ///< Use SUNDIALS' KINSOL (through MFEM's class KINSolver)
-   };
 
    HyperelasticOperator(ParFiniteElementSpace &f, Array<int> &ess_bdr,
                         double visc, double mu, double K,
-                        NonlinearSolverType nls_type);
+                        int kinsol_nls_type = -1, double kinsol_damping = 0.0,
+                        int kinsol_aa_n = 0);
 
    /// Compute the right-hand side of the ODE system.
    virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
@@ -235,8 +230,10 @@ int main(int argc, char *argv[])
    double mu = 0.25;
    double K = 5.0;
    bool visualization = true;
-   const char *nls = "newton";
+   int nonlinear_solver_type = 0;
    int vis_steps = 1;
+   double kinsol_damping = 0.0;
+   int kinsol_aa_n = -1;
 
    // Relative and absolute tolerances for CVODE and ARKODE.
    const double reltol = 1e-1, abstol = 1e-1;
@@ -275,9 +272,18 @@ int main(int argc, char *argv[])
                   "15 - ARKODE implicit, approximate Jacobian,\n\t"
                   "16 - ARKODE implicit, specified Jacobian,\n\t"
                   "17 - ARKODE explicit, 4th order.");
-   args.AddOption(&nls, "-nls", "--nonlinear-solver",
-                  "Nonlinear systems solver: "
-                  "\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
+   args.AddOption(&nonlinear_solver_type, "-nls", "--nonlinear-solver",
+                  "Nonlinear system solver:\n\t"
+                  "0  - MFEM Newton method,\n\t"
+                  "1  - KINSOL Newton method,\n\t"
+                  "2  - KINSOL Newton method with globalization,\n\t"
+                  "3  - KINSOL fixed-point method (with or without AA),\n\t"
+                  "4  - KINSOL Picard method (with or without AA).");
+   args.AddOption(&kinsol_damping, "-damp", "--kinsol-damping",
+                  "Picard or Fixed-Point damping parameter (only valid with KINSOL): "
+                  "0 < d <= 1.0");
+   args.AddOption(&kinsol_aa_n, "-aan", "--anderson-subspace",
+                  "Anderson Acceleration subspace size (only valid with KINSOL)");
    args.AddOption(&t_final, "-tf", "--t-final",
                   "Final time; start time is 0.");
    args.AddOption(&dt, "-dt", "--time-step",
@@ -317,27 +323,42 @@ int main(int argc, char *argv[])
       return 1;
    }
 
+   // check for valid nonlinear solver options
+   if (nonlinear_solver_type < 0 || nonlinear_solver_type > 4)
+   {
+      if (myid == 0)
+      {
+         cout << "Unknown nonlinear solver type: " << nonlinear_solver_type
+              << "\n";
+      }
+      return 1;
+   }
+   if (kinsol_damping > 0.0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      if (myid == 0)
+      {
+         cout << "Only KINSOL fixed-point and Picard methods can use damping\n";
+      }
+      return 1;
+   }
+   if (kinsol_aa_n > 0 &&
+       !(nonlinear_solver_type == 3 || nonlinear_solver_type == 4))
+   {
+      if (myid == 0)
+      {
+         cout << "Only KINSOL fixed-point and Picard methods can use AA\n";
+      }
+      return 1;
+   }
+
    // 3. Read the serial mesh from the given mesh file on all processors. We can
    //    handle triangular, quadrilateral, tetrahedral and hexahedral meshes
    //    with the same code.
    Mesh *mesh = new Mesh(mesh_file, 1, 1);
    int dim = mesh->Dimension();
 
-   // 4. Nonlinear solver
-   map<string,HyperelasticOperator::NonlinearSolverType> nls_map;
-   nls_map["newton"] = HyperelasticOperator::NEWTON;
-   nls_map["kinsol"] = HyperelasticOperator::KINSOL;
-   if (nls_map.find(nls) == nls_map.end())
-   {
-      if (myid == 0)
-      {
-         cout << "Unknown type of nonlinear solver: " << nls << endl;
-      }
-      delete mesh;
-      return 4;
-   }
-
-   // 5. Refine the mesh in serial to increase the resolution. In this example
+   // 4. Refine the mesh in serial to increase the resolution. In this example
    //    we do 'ser_ref_levels' of uniform refinement, where 'ser_ref_levels' is
    //    a command-line parameter.
    for (int lev = 0; lev < ser_ref_levels; lev++)
@@ -345,7 +366,7 @@ int main(int argc, char *argv[])
       mesh->UniformRefinement();
    }
 
-   // 6. Define a parallel mesh by a partitioning of the serial mesh. Refine
+   // 5. Define a parallel mesh by a partitioning of the serial mesh. Refine
    //    this mesh further in parallel to increase the resolution. Once the
    //    parallel mesh is defined, the serial mesh can be deleted.
    ParMesh *pmesh = new ParMesh(MPI_COMM_WORLD, *mesh);
@@ -355,7 +376,7 @@ int main(int argc, char *argv[])
       pmesh->UniformRefinement();
    }
 
-   // 7. Define the parallel vector finite element spaces representing the mesh
+   // 6. Define the parallel vector finite element spaces representing the mesh
    //    deformation x_gf, the velocity v_gf, and the initial configuration,
    //    x_ref. Define also the elastic energy density, w_gf, which is in a
    //    discontinuous higher-order space. Since x and v are integrated in time
@@ -387,7 +408,7 @@ int main(int argc, char *argv[])
    ParFiniteElementSpace w_fespace(pmesh, &w_fec);
    ParGridFunction w_gf(&w_fespace);
 
-   // 8. Set the initial conditions for v_gf, x_gf and vx, and define the
+   // 7. Set the initial conditions for v_gf, x_gf and vx, and define the
    //    boundary conditions on a beam-like mesh (see description above).
    VectorFunctionCoefficient velo(dim, InitialVelocity);
    v_gf.ProjectCoefficient(velo);
@@ -402,9 +423,38 @@ int main(int argc, char *argv[])
    ess_bdr = 0;
    ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
 
-   // 9. Initialize the hyperelastic operator, the GLVis visualization and print
+   // 8. Initialize the hyperelastic operator, the GLVis visualization and print
    //    the initial energies.
-   HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
+   std::unique_ptr<HyperelasticOperator> oper;
+   if (nonlinear_solver_type == 0)
+      oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr, visc, mu,
+                                                    K);
+   else
+   {
+      switch (nonlinear_solver_type)
+      {
+         case 1:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_NONE);
+            break;
+         case 2:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_LINESEARCH);
+            break;
+         case 3:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_FP, kinsol_damping, kinsol_aa_n);
+            break;
+         case 4:
+            oper = std::make_unique<HyperelasticOperator>(fespace, ess_bdr,
+                                                          visc, mu, K, KIN_PICARD, kinsol_damping, kinsol_aa_n);
+            break;
+         default:
+            cout << "Unknown type of nonlinear solver: "
+                 << nonlinear_solver_type << endl;
+            return 4;
+      }
+   }
 
    socketstream vis_v, vis_w;
    if (visualization)
@@ -420,14 +470,14 @@ int main(int argc, char *argv[])
       vis_w.open(vishost, visport);
       if (vis_w)
       {
-         oper.GetElasticEnergyDensity(x_gf, w_gf);
+         oper->GetElasticEnergyDensity(x_gf, w_gf);
          vis_w.precision(8);
          visualize(vis_w, pmesh, &x_gf, &w_gf, "Elastic energy density", true);
       }
    }
 
-   double ee0 = oper.ElasticEnergy(x_gf);
-   double ke0 = oper.KineticEnergy(v_gf);
+   double ee0 = oper->ElasticEnergy(x_gf);
+   double ke0 = oper->KineticEnergy(v_gf);
    if (myid == 0)
    {
       cout << "initial elastic energy (EE) = " << ee0 << endl;
@@ -435,11 +485,11 @@ int main(int argc, char *argv[])
       cout << "initial   total energy (TE) = " << (ee0 + ke0) << endl;
    }
 
-   // 10. Define the ODE solver used for time integration. Several implicit
-   //     singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
-   //     explicit Runge-Kutta methods are available.
+   // 9. Define the ODE solver used for time integration. Several implicit
+   //    singly diagonal implicit Runge-Kutta (SDIRK) methods, as well as
+   //    explicit Runge-Kutta methods are available.
    double t = 0.0;
-   oper.SetTime(t);
+   oper->SetTime(t);
 
    ODESolver *ode_solver = NULL;
    CVODESolver *cvode = NULL;
@@ -463,7 +513,7 @@ int main(int argc, char *argv[])
       case 11:
       case 12:
          cvode = new CVODESolver(MPI_COMM_WORLD, CV_BDF);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -476,7 +526,7 @@ int main(int argc, char *argv[])
       case 13:
       case 14:
          cvode = new CVODESolver(MPI_COMM_WORLD, CV_ADAMS);
-         cvode->Init(oper);
+         cvode->Init(*oper);
          cvode->SetSStolerances(reltol, abstol);
          CVodeSetEpsLin(cvode->GetMem(), cvode_eps_lin);
          cvode->SetMaxStep(dt);
@@ -489,7 +539,7 @@ int main(int argc, char *argv[])
       case 15:
       case 16:
          arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::IMPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
          arkode->SetMaxStep(dt);
@@ -501,16 +551,16 @@ int main(int argc, char *argv[])
       // ARKStep Explicit methods
       case 17:
          arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::EXPLICIT);
-         arkode->Init(oper);
+         arkode->Init(*oper);
          arkode->SetSStolerances(reltol, abstol);
          arkode->SetMaxStep(dt);
          ode_solver = arkode; break;
    }
 
    // Initialize MFEM integrators, SUNDIALS integrators are initialized above
-   if (ode_solver_type < 11) { ode_solver->Init(oper); }
+   if (ode_solver_type < 11) { ode_solver->Init(*oper); }
 
-   // 11. Perform time-integration
+   // 10. Perform time-integration
    //     (looping over the time iterations, ti, with a time-step dt).
    bool last_step = false;
    for (int ti = 1; !last_step; ti++)
@@ -525,8 +575,8 @@ int main(int argc, char *argv[])
       {
          v_gf.SetFromTrueVector(); x_gf.SetFromTrueVector();
 
-         double ee = oper.ElasticEnergy(x_gf);
-         double ke = oper.KineticEnergy(v_gf);
+         double ee = oper->ElasticEnergy(x_gf);
+         double ke = oper->KineticEnergy(v_gf);
 
          if (myid == 0)
          {
@@ -542,14 +592,14 @@ int main(int argc, char *argv[])
             visualize(vis_v, pmesh, &x_gf, &v_gf);
             if (vis_w)
             {
-               oper.GetElasticEnergyDensity(x_gf, w_gf);
+               oper->GetElasticEnergyDensity(x_gf, w_gf);
                visualize(vis_w, pmesh, &x_gf, &w_gf);
             }
          }
       }
    }
 
-   // 12. Save the displaced mesh, the velocity and elastic energy.
+   // 11. Save the displaced mesh, the velocity and elastic energy.
    {
       v_gf.SetFromTrueVector(); x_gf.SetFromTrueVector();
       GridFunction *nodes = &x_gf;
@@ -570,11 +620,11 @@ int main(int argc, char *argv[])
       v_gf.Save(velo_ofs);
       ofstream ee_ofs(ee_name.str().c_str());
       ee_ofs.precision(8);
-      oper.GetElasticEnergyDensity(x_gf, w_gf);
+      oper->GetElasticEnergyDensity(x_gf, w_gf);
       w_gf.Save(ee_ofs);
    }
 
-   // 13. Free the used memory.
+   // 12. Free the used memory.
    delete ode_solver;
    delete pmesh;
 
@@ -664,7 +714,10 @@ ReducedSystemOperator::~ReducedSystemOperator()
 HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
                                            Array<int> &ess_bdr, double visc,
                                            double mu, double K,
-                                           NonlinearSolverType nls_type)
+                                           int kinsol_nls_type,
+                                           double kinsol_damping,
+                                           int kinsol_aa_n)
+
    : TimeDependentOperator(2*f.TrueVSize(), 0.0), fespace(f),
      M(&fespace), S(&fespace), H(&fespace),
      viscosity(visc), M_solver(f.GetComm()), z(height/2),
@@ -716,17 +769,28 @@ HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
    J_minres->SetPreconditioner(*J_prec);
    J_solver = J_minres;
 
-   if (nls_type == KINSOL)
+   if (kinsol_nls_type > 0)
    {
-      KINSolver *kinsolver = new KINSolver(f.GetComm(), KIN_LINESEARCH, true);
-      kinsolver->SetJFNK(true);
-      kinsolver->SetLSMaxIter(100);
+      KINSolver *kinsolver = new KINSolver(f.GetComm(), kinsol_nls_type, true);
+      if (kinsol_nls_type != KIN_PICARD)
+      {
+         kinsolver->SetJFNK(true);
+         kinsolver->SetLSMaxIter(100);
+      }
+      if (kinsol_aa_n > 0)
+      {
+         kinsolver->EnableAndersonAcc(kinsol_aa_n);
+      }
       newton_solver = kinsolver;
       newton_solver->SetOperator(*reduced_oper);
       newton_solver->SetMaxIter(200);
       newton_solver->SetRelTol(rel_tol);
-      newton_solver->SetPrintLevel(1);
+      newton_solver->SetPrintLevel(0);
       kinsolver->SetMaxSetupCalls(4);
+      if (kinsol_damping > 0.0)
+      {
+         kinsolver->SetDamping(kinsol_damping);
+      }
    }
    else
    {

examples/sundials/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/sundials/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

examples/superlu/makefile

@@ -12,11 +12,10 @@
 # Use the MFEM build directory
 MFEM_DIR ?= ../..
 MFEM_BUILD_DIR ?= ../..
+MFEM_INSTALL_DIR ?= ../../mfem
 SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/superlu/,)
-CONFIG_MK = $(MFEM_BUILD_DIR)/config/config.mk
-# Use the MFEM install directory
-# MFEM_INSTALL_DIR = ../../mfem
-# CONFIG_MK = $(MFEM_INSTALL_DIR)/share/mfem/config.mk
+CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
+   $(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
 
 MFEM_LIB_FILE = mfem_is_not_built
 -include $(CONFIG_MK)

fem/bilinearform.cpp

@@ -280,7 +280,7 @@ void BilinearForm::AddBdrFaceIntegrator(BilinearFormIntegrator *bfi,
    boundary_face_integs_marker.Append(&bdr_marker);
 }
 
-void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
+void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
 {
    if (element_matrices)
    {
@@ -308,7 +308,7 @@ void BilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
    }
 }
 
-void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
+void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
 {
    if (boundary_integs.Size())
    {
@@ -329,6 +329,79 @@ void BilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
    }
 }
 
+void BilinearForm::ComputeFaceMatrix(int i, DenseMatrix &elmat) const
+{
+   FaceElementTransformations *tr;
+   Mesh *mesh = fes -> GetMesh();
+   tr = mesh -> GetFaceElementTransformations (i);
+
+   const FiniteElement *fe1, *fe2;
+   fe1 = fes->GetFE(tr->Elem1No);
+   if (tr->Elem2No >= 0)
+   {
+      fe2 = fes->GetFE(tr->Elem2No);
+   }
+   else
+   {
+      // The fe2 object is really a dummy and not used on the
+      // boundaries, but we can't dereference a NULL pointer, and we don't
+      // want to actually make a fake element.
+      fe2 = fe1;
+   }
+
+   if (interior_face_integs.Size())
+   {
+      interior_face_integs[0] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elmat);
+      for (int k = 1; k < interior_face_integs.Size(); k++)
+      {
+         interior_face_integs[k] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elemmat);
+         elmat += elemmat;
+      }
+   }
+   else
+   {
+      int ndof = fe1->GetDof() * fes->GetVDim();
+      if (tr->Elem2No >= 0)
+      {
+         ndof += fe2->GetDof() * fes->GetVDim();
+      }
+
+      elmat.SetSize(ndof);
+      elmat = 0.0;
+   }
+}
+
+void BilinearForm::ComputeBdrFaceMatrix(int i, DenseMatrix &elmat) const
+{
+   FaceElementTransformations *tr;
+   Mesh *mesh = fes -> GetMesh();
+   tr = mesh -> GetBdrFaceTransformations (i);
+
+   const FiniteElement *fe1, *fe2;
+
+   fe1 = fes -> GetFE (tr -> Elem1No);
+   // The fe2 object is really a dummy and not used on the boundaries,
+   // but we can't dereference a NULL pointer, and we don't want to
+   // actually make a fake element.
+   fe2 = fe1;
+
+   if (boundary_face_integs.Size())
+   {
+      boundary_face_integs[0] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elmat);
+      for (int k = 1; k < boundary_face_integs.Size(); k++)
+      {
+         boundary_face_integs[k] -> AssembleFaceMatrix (*fe1, *fe2, *tr, elemmat);
+         elmat += elemmat;
+      }
+   }
+   else
+   {
+      int ndof = fe1->GetDof() * fes->GetVDim();
+      elmat.SetSize(ndof);
+      elmat = 0.0;
+   }
+}
+
 void BilinearForm::AssembleElementMatrix(
    int i, const DenseMatrix &elmat, int skip_zeros)
 {
@@ -1692,7 +1765,7 @@ void MixedBilinearForm::ConformingAssemble()
 }
 
 
-void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
+void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat) const
 {
    if (domain_integs.Size())
    {
@@ -1717,7 +1790,7 @@ void MixedBilinearForm::ComputeElementMatrix(int i, DenseMatrix &elmat)
    }
 }
 
-void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
+void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const
 {
    if (boundary_integs.Size())
    {
@@ -1742,6 +1815,94 @@ void MixedBilinearForm::ComputeBdrElementMatrix(int i, DenseMatrix &elmat)
    }
 }
 
+void MixedBilinearForm::ComputeTraceFaceMatrix(int i, DenseMatrix &elmat) const
+{
+   FaceElementTransformations *ftr;
+   Mesh *mesh = test_fes -> GetMesh();
+   ftr = mesh->GetFaceElementTransformations(i);
+   MFEM_ASSERT(ftr, "No associated face transformation.");
+
+   const FiniteElement *trial_face_fe, *test_fe1, *test_fe2;
+
+   trial_face_fe = trial_fes->GetFaceElement(i);
+   test_fe1 = test_fes->GetFE(ftr->Elem1No);
+   if (ftr->Elem2No >= 0)
+   {
+      test_fe2 = test_fes->GetFE(ftr->Elem2No);
+   }
+   else
+   {
+      // The test_fe2 object is really a dummy and not used on the
+      // boundaries, but we can't dereference a NULL pointer, and we don't
+      // want to actually make a fake element.
+      test_fe2 = test_fe1;
+   }
+
+   if (trace_face_integs.Size())
+   {
+      trace_face_integs[0]->AssembleFaceMatrix(*trial_face_fe, *test_fe1, *test_fe2,
+                                               *ftr, elmat);
+      for (int k = 1; k < trace_face_integs.Size(); k++)
+      {
+         trace_face_integs[k]->AssembleFaceMatrix(*trial_face_fe, *test_fe1, *test_fe2,
+                                                  *ftr, elemmat);
+         elmat += elemmat;
+      }
+   }
+   else
+   {
+      const int tr_face_dofs = trial_face_fe->GetDof() * trial_fes->GetVDim();
+      int te_dofs = test_fe1->GetDof() * test_fes->GetVDim();
+      if (ftr->Elem2No >= 0)
+      {
+         te_dofs += test_fe2->GetDof() * test_fes->GetVDim();
+      }
+
+      elmat.SetSize(te_dofs, tr_face_dofs);
+      elmat = 0.0;
+   }
+}
+
+void MixedBilinearForm::ComputeBdrTraceFaceMatrix(int i,
+                                                  DenseMatrix &elmat) const
+{
+   FaceElementTransformations *ftr;
+   Mesh *mesh = test_fes -> GetMesh();
+   ftr = mesh->GetBdrFaceTransformations(i);
+   MFEM_ASSERT(ftr, "No associated boundary face.");
+
+   const FiniteElement *trial_face_fe, *test_fe1, *test_fe2;
+   int iface = mesh->GetBdrElementFaceIndex(i);
+   trial_face_fe = trial_fes->GetFaceElement(iface);
+   test_fe1 = test_fes->GetFE(ftr->Elem1No);
+   // The test_fe2 object is really a dummy and not used on the
+   // boundaries, but we can't dereference a NULL pointer, and we don't
+   // want to actually make a fake element.
+   test_fe2 = test_fe1;
+
+   if (boundary_trace_face_integs.Size())
+   {
+      boundary_trace_face_integs[0]->AssembleFaceMatrix(*trial_face_fe, *test_fe1,
+                                                        *test_fe2,
+                                                        *ftr, elmat);
+      for (int k = 1; k < boundary_trace_face_integs.Size(); k++)
+      {
+         boundary_trace_face_integs[k]->AssembleFaceMatrix(*trial_face_fe, *test_fe1,
+                                                           *test_fe2,
+                                                           *ftr, elemmat);
+         elmat += elemmat;
+      }
+   }
+   else
+   {
+      const int tr_face_dofs = trial_face_fe->GetDof() * trial_fes->GetVDim();
+      int te_dofs = test_fe1->GetDof() * test_fes->GetVDim();
+
+      elmat.SetSize(te_dofs, tr_face_dofs);
+      elmat = 0.0;
+   }
+}
+
 void MixedBilinearForm::AssembleElementMatrix(
    int i, const DenseMatrix &elmat, int skip_zeros)
 {
@@ -1780,36 +1941,59 @@ void MixedBilinearForm::AssembleBdrElementMatrix(
    mat->AddSubMatrix(test_vdofs_, trial_vdofs_, elmat, skip_zeros);
 }
 
-void MixedBilinearForm::EliminateTrialDofs (
+void MixedBilinearForm::EliminateTrialEssentialBC(
    const Array<int> &bdr_attr_is_ess, const Vector &sol, Vector &rhs )
 {
-   int i, j, k;
-   Array<int> tr_vdofs, cols_marker (trial_fes -> GetVSize());
-
-   cols_marker = 0;
-   for (i = 0; i < trial_fes -> GetNBE(); i++)
-      if (bdr_attr_is_ess[trial_fes -> GetBdrAttribute (i)-1])
-      {
-         trial_fes -> GetBdrElementVDofs (i, tr_vdofs);
-         for (j = 0; j < tr_vdofs.Size(); j++)
-         {
-            if ( (k = tr_vdofs[j]) < 0 )
-            {
-               k = -1-k;
-            }
-            cols_marker[k] = 1;
-         }
-      }
-   mat -> EliminateCols (cols_marker, &sol, &rhs);
+   Array<int> trial_ess_dofs;
+   trial_fes->GetEssentialVDofs(bdr_attr_is_ess, trial_ess_dofs);
+   mat->EliminateCols(trial_ess_dofs, &sol, &rhs);
 }
 
-void MixedBilinearForm::EliminateEssentialBCFromTrialDofs (
+void MixedBilinearForm::EliminateTrialEssentialBC(const Array<int>
+                                                  &bdr_attr_is_ess)
+{
+   Array<int> trial_ess_dofs;
+   trial_fes->GetEssentialVDofs(bdr_attr_is_ess, trial_ess_dofs);
+   mat->EliminateCols(trial_ess_dofs);
+}
+
+void MixedBilinearForm::EliminateTrialVDofs(const Array<int> &trial_vdofs_,
+                                            const Vector &sol, Vector &rhs)
+{
+   Array<int> trial_vdofs_marker;
+   FiniteElementSpace::ListToMarker(trial_vdofs_, mat->Width(),
+                                    trial_vdofs_marker);
+   mat->EliminateCols(trial_vdofs_marker, &sol, &rhs);
+}
+
+void MixedBilinearForm::EliminateTrialVDofs(const Array<int> &trial_vdofs_)
+{
+   if (mat_e == NULL)
+   {
+      mat_e = new SparseMatrix(mat->Height(), mat->Width());
+   }
+
+   Array<int> trial_vdofs_marker;
+   FiniteElementSpace::ListToMarker(trial_vdofs_, mat->Width(),
+                                    trial_vdofs_marker);
+   mat->EliminateCols(trial_vdofs_marker, *mat_e);
+   mat_e->Finalize();
+}
+
+void MixedBilinearForm::EliminateTrialVDofsInRHS(const Array<int> &trial_vdofs_,
+                                                 const Vector &x, Vector &b)
+{
+   mat_e->AddMult(x, b, -1.);
+}
+
+void MixedBilinearForm::EliminateEssentialBCFromTrialDofs(
    const Array<int> &marked_vdofs, const Vector &sol, Vector &rhs)
 {
-   mat -> EliminateCols (marked_vdofs, &sol, &rhs);
+   mat->EliminateCols(marked_vdofs, &sol, &rhs);
 }
 
-void MixedBilinearForm::EliminateTestDofs (const Array<int> &bdr_attr_is_ess)
+void MixedBilinearForm::EliminateTestEssentialBC(const Array<int>
+                                                 &bdr_attr_is_ess)
 {
    int i, j, k;
    Array<int> te_vdofs;
@@ -1829,6 +2013,14 @@ void MixedBilinearForm::EliminateTestDofs (const Array<int> &bdr_attr_is_ess)
       }
 }
 
+void MixedBilinearForm::EliminateTestVDofs(const Array<int> &test_vdofs_)
+{
+   for (int i=0; i<test_vdofs_.Size(); ++i)
+   {
+      mat->EliminateRow(test_vdofs_[i]);
+   }
+}
+
 void MixedBilinearForm::FormRectangularSystemMatrix(
    const Array<int> &trial_tdof_list,
    const Array<int> &test_tdof_list,
@@ -1865,20 +2057,9 @@ void MixedBilinearForm::FormRectangularSystemMatrix(
       mat = m;
    }
 
-   Array<int> ess_trial_tdof_marker, ess_test_tdof_marker;
-   FiniteElementSpace::ListToMarker(trial_tdof_list, trial_fes->GetTrueVSize(),
-                                    ess_trial_tdof_marker);
-   FiniteElementSpace::ListToMarker(test_tdof_list, test_fes->GetTrueVSize(),
-                                    ess_test_tdof_marker);
+   EliminateTrialVDofs(trial_tdof_list);
+   EliminateTestVDofs(test_tdof_list);
 
-   mat_e = new SparseMatrix(mat->Height(), mat->Width());
-   mat->EliminateCols(ess_trial_tdof_marker, *mat_e);
-
-   for (int i=0; i<test_tdof_list.Size(); ++i)
-   {
-      mat->EliminateRow(test_tdof_list[i]);
-   }
-   mat_e->Finalize();
    A.Reset(mat, false);
 }
 
@@ -1907,7 +2088,7 @@ void MixedBilinearForm::FormRectangularLinearSystem(
                                   A); // Set A = mat_e
    }
    // Eliminate essential BCs with B -= Ab xb
-   mat_e->AddMult(X, B, -1.0);
+   EliminateTrialVDofsInRHS(trial_tdof_list, X, B);
 
    B.SetSubVector(test_tdof_list, 0.0);
 }

fem/bilinearform.hpp

@@ -119,8 +119,8 @@ protected:
    Array<BilinearFormIntegrator*> boundary_face_integs;
    Array<Array<int>*> boundary_face_integs_marker; ///< Entries are not owned.
 
-   DenseMatrix elemmat;
-   Array<int>  vdofs;
+   mutable DenseMatrix elemmat;
+   mutable Array<int>  vdofs;
 
    DenseTensor *element_matrices; ///< Owned.
 
@@ -294,13 +294,13 @@ public:
    const real_t &operator()(int i, int j) { return (*mat)(i,j); }
 
    /// Returns a reference to: $ M_{ij} $
-   virtual real_t &Elem(int i, int j);
+   real_t &Elem(int i, int j) override;
 
    /// Returns constant reference to: $ M_{ij} $
-   virtual const real_t &Elem(int i, int j) const;
+   const real_t &Elem(int i, int j) const override;
 
    /// Matrix vector multiplication:  $ y = M x $
-   virtual void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
 
    /** @brief Matrix vector multiplication with the original uneliminated
        matrix.  The original matrix is $ M + M_e $ so we have:
@@ -309,7 +309,7 @@ public:
    { mat->Mult(x, y); mat_e->AddMult(x, y); }
 
    /// Add the matrix vector multiple to a vector:  $ y += a M x $
-   virtual void AddMult(const Vector &x, Vector &y, const real_t a = 1.0) const
+   void AddMult(const Vector &x, Vector &y, const real_t a = 1.0) const override
    { mat -> AddMult (x, y, a); }
 
    /** @brief Add the original uneliminated matrix vector multiple to a vector.
@@ -319,8 +319,8 @@ public:
    { mat->AddMult(x, y); mat_e->AddMult(x, y); }
 
    /// Add the matrix transpose vector multiplication:  $ y += a M^T x $
-   virtual void AddMultTranspose(const Vector & x, Vector & y,
-                                 const real_t a = 1.0) const
+   void AddMultTranspose(const Vector & x, Vector & y,
+                         const real_t a = 1.0) const override
    { mat->AddMultTranspose(x, y, a); }
 
    /** @brief Add the original uneliminated matrix transpose vector
@@ -330,7 +330,7 @@ public:
    { mat->AddMultTranspose(x, y); mat_e->AddMultTranspose(x, y); }
 
    /// Matrix transpose vector multiplication:  $ y = M^T x $
-   virtual void MultTranspose(const Vector & x, Vector & y) const;
+   void MultTranspose(const Vector & x, Vector & y) const override;
 
    /// Compute $ y^T M x $
    real_t InnerProduct(const Vector &x, const Vector &y) const
@@ -338,13 +338,13 @@ public:
 
    /** @brief Returns a pointer to (approximation) of the matrix inverse:
        $ M^{-1} $ (currently returns NULL) */
-   virtual MatrixInverse *Inverse() const;
+   MatrixInverse *Inverse() const override;
 
    /** @brief Finalizes the matrix initialization if the ::AssemblyLevel is
        AssemblyLevel::LEGACY.
        The matrix that gets finalized is different if you are using static
        condensation or hybridization.*/
-   virtual void Finalize(int skip_zeros = 1);
+   void Finalize(int skip_zeros = 1) override;
 
    /** @brief Returns a const reference to the sparse matrix:  $ M $
     *
@@ -458,18 +458,18 @@ public:
        conforming prolongation, and |.| denotes the entry-wise absolute value.
        In general, this is just an approximation of the exact diagonal for this
        case. */
-   virtual void AssembleDiagonal(Vector &diag) const;
+   void AssembleDiagonal(Vector &diag) const override;
 
    /// Get the finite element space prolongation operator.
-   virtual const Operator *GetProlongation() const
+   const Operator *GetProlongation() const override
    { return fes->GetConformingProlongation(); }
 
    /// Get the finite element space restriction operator
-   virtual const Operator *GetRestriction() const
+   const Operator *GetRestriction() const override
    { return fes->GetConformingRestriction(); }
 
    /// Get the output finite element space prolongation matrix
-   virtual const Operator *GetOutputProlongation() const
+   const Operator *GetOutputProlongation() const override
    { return GetProlongation(); }
 
    /** @brief Returns the output fe space restriction matrix, transposed
@@ -477,11 +477,11 @@ public:
        Logically, this is the transpose of GetOutputRestriction, but in
        practice it is convenient to have it in transposed form for
        construction of RAP operators in matrix-free methods. */
-   virtual const Operator *GetOutputRestrictionTranspose() const
+   const Operator *GetOutputRestrictionTranspose() const override
    { return fes->GetRestrictionTransposeOperator(); }
 
    /// Get the output finite element space restriction matrix
-   virtual const Operator *GetOutputRestriction() const
+   const Operator *GetOutputRestriction() const override
    { return GetRestriction(); }
 
    /// Compute serial RAP operator and store it in @a A as a SparseMatrix.
@@ -566,7 +566,8 @@ public:
        FormLinearSystem() method to recover the solution as a GridFunction-size
        vector in @a x. Use the same arguments as in the FormLinearSystem() call.
    */
-   virtual void RecoverFEMSolution(const Vector &X, const Vector &b, Vector &x);
+   void RecoverFEMSolution(const Vector &X, const Vector &b,
+                           Vector &x) override;
 
    /// Compute and store internally all element matrices.
    void ComputeElementMatrices();
@@ -580,10 +581,18 @@ public:
        or the one stored internally by a prior call of ComputeElementMatrices()
        is returned when available.
    */
-   void ComputeElementMatrix(int i, DenseMatrix &elmat);
+   void ComputeElementMatrix(int i, DenseMatrix &elmat) const;
 
    /// Compute the boundary element matrix of the given boundary element
-   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat);
+   /** @note The boundary attribute markers of the integrators are ignored. */
+   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const;
+
+   /// Compute the face matrix of the given face element
+   void ComputeFaceMatrix(int i, DenseMatrix &elmat) const;
+
+   /// Compute the boundary face matrix of the given boundary element
+   /** @note The boundary attribute markers of the integrators are ignored. */
+   void ComputeBdrFaceMatrix(int i, DenseMatrix &elmat) const;
 
    /// Assemble the given element matrix
    /** The element matrix @a elmat is assembled for the element @a i, i.e.
@@ -771,8 +780,8 @@ protected:
    /// Entries are not owned.
    Array<Array<int>*> boundary_trace_face_integs_marker;
 
-   DenseMatrix elemmat;
-   Array<int>  trial_vdofs, test_vdofs;
+   mutable DenseMatrix elemmat;
+   mutable Array<int>  trial_vdofs, test_vdofs;
 
 private:
    /// Copy construction is not supported; body is undefined.
@@ -803,32 +812,32 @@ public:
                      MixedBilinearForm *mbf);
 
    /// Returns a reference to: $ M_{ij} $
-   virtual real_t &Elem(int i, int j);
+   real_t &Elem(int i, int j) override;
 
    /// Returns a reference to: $ M_{ij} $
-   virtual const real_t &Elem(int i, int j) const;
+   const real_t &Elem(int i, int j) const override;
 
    /// Matrix multiplication: $ y = M x $
-   virtual void Mult(const Vector & x, Vector & y) const;
+   void Mult(const Vector & x, Vector & y) const override;
 
    /// Add the matrix vector multiple to a vector:  $ y += a M x $
-   virtual void AddMult(const Vector & x, Vector & y,
-                        const real_t a = 1.0) const;
+   void AddMult(const Vector & x, Vector & y,
+                const real_t a = 1.0) const override;
 
    /// Matrix transpose vector multiplication:  $ y = M^T x $
-   virtual void MultTranspose(const Vector & x, Vector & y) const;
+   void MultTranspose(const Vector & x, Vector & y) const override;
 
    /// Add the matrix transpose vector multiplication:  $ y += a M^T x $
-   virtual void AddMultTranspose(const Vector & x, Vector & y,
-                                 const real_t a = 1.0) const;
+   void AddMultTranspose(const Vector & x, Vector & y,
+                         const real_t a = 1.0) const override;
 
    /** @brief Returns a pointer to (approximation) of the matrix inverse:
        $ M^{-1} $ (currently unimplemented and returns NULL)*/
-   virtual MatrixInverse *Inverse() const;
+   MatrixInverse *Inverse() const override;
 
    /** @brief Finalizes the matrix initialization if the ::AssemblyLevel is
        AssemblyLevel::LEGACY.*/
-   virtual void Finalize(int skip_zeros = 1);
+   void Finalize(int skip_zeros = 1) override;
 
    /** @brief Extract the associated matrix as SparseMatrix blocks. The number
        of block rows and columns is given by the vector dimensions (vdim) of the
@@ -839,15 +848,37 @@ public:
    /** This will segfault if the usual sparse mat is not defined
        like when static condensation is being used or AllocMat() has
        not yet been called. */
-   const SparseMatrix &SpMat() const { return *mat; }
+   const SparseMatrix &SpMat() const
+   {
+      MFEM_VERIFY(mat, "mat is NULL and can't be dereferenced");
+      return *mat;
+   }
 
    /// Returns a reference to the sparse matrix:  $ M $
-   SparseMatrix &SpMat() { return *mat; }
+   SparseMatrix &SpMat()
+   {
+      MFEM_VERIFY(mat, "mat is NULL and can't be dereferenced");
+      return *mat;
+   }
 
    /**  @brief Nullifies the internal matrix $ M $ and returns a pointer
         to it.  Used for transferring ownership. */
    SparseMatrix *LoseMat() { SparseMatrix *tmp = mat; mat = NULL; return tmp; }
 
+   /// Returns a const reference to the sparse matrix of eliminated b.c.:  $ M_e $
+   const SparseMatrix &SpMatElim() const
+   {
+      MFEM_VERIFY(mat_e, "mat_e is NULL and can't be dereferenced");
+      return *mat_e;
+   }
+
+   /// Returns a reference to the sparse matrix of eliminated b.c.:  $ M_e $
+   SparseMatrix &SpMatElim()
+   {
+      MFEM_VERIFY(mat_e, "mat_e is NULL and can't be dereferenced");
+      return *mat_e;
+   }
+
    /// Adds a domain integrator. Assumes ownership of @a bfi.
    void AddDomainIntegrator(BilinearFormIntegrator *bfi);
 
@@ -920,19 +951,19 @@ public:
    void AssembleDiagonal_ADAt(const Vector &D, Vector &diag) const;
 
    /// Get the input finite element space prolongation matrix
-   virtual const Operator *GetProlongation() const
+   const Operator *GetProlongation() const override
    { return trial_fes->GetProlongationMatrix(); }
 
    /// Get the input finite element space restriction matrix
-   virtual const Operator *GetRestriction() const
+   const Operator *GetRestriction() const override
    { return trial_fes->GetRestrictionMatrix(); }
 
    /// Get the test finite element space prolongation matrix
-   virtual const Operator *GetOutputProlongation() const
+   const Operator *GetOutputProlongation() const override
    { return test_fes->GetProlongationMatrix(); }
 
    /// Get the test finite element space restriction matrix
-   virtual const Operator *GetOutputRestriction() const
+   const Operator *GetOutputRestriction() const override
    { return test_fes->GetRestrictionMatrix(); }
 
    /** @brief For partially conforming trial and/or test FE spaces, complete the
@@ -944,10 +975,18 @@ public:
    void ConformingAssemble();
 
    /// Compute the element matrix of the given element
-   void ComputeElementMatrix(int i, DenseMatrix &elmat);
+   void ComputeElementMatrix(int i, DenseMatrix &elmat) const;
 
    /// Compute the boundary element matrix of the given boundary element
-   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat);
+   /** @note The boundary attribute markers of the integrators are ignored. */
+   void ComputeBdrElementMatrix(int i, DenseMatrix &elmat) const;
+
+   /// Compute the trace face matrix of the given face element
+   void ComputeTraceFaceMatrix(int i, DenseMatrix &elmat) const;
+
+   /// Compute the boundary trace face matrix of the given boundary element
+   /** @note The boundary attribute markers of the integrators are ignored. */
+   void ComputeBdrTraceFaceMatrix(int i, DenseMatrix &elmat) const;
 
    /// Assemble the given element matrix
    /** The element matrix @a elmat is assembled for the element @a i, i.e.
@@ -989,24 +1028,61 @@ public:
                                  Array<int> &test_vdofs,
                                  int skip_zeros = 1);
 
-   /// Eliminate essential boundary DOFs from the columns of the system.
+   /// Eliminate essential boundary trial DOFs from the system.
    /** The array @a bdr_attr_is_ess marks boundary attributes that constitute
-       the essential part of the boundary.  All entries in the columns will be
-       set to 0.0 through elimination.*/
-   void EliminateTrialDofs(const Array<int> &bdr_attr_is_ess,
-                           const Vector &sol, Vector &rhs);
+       the essential part of the boundary. */
+   void EliminateTrialEssentialBC(const Array<int> &bdr_attr_is_ess,
+                                  const Vector &sol, Vector &rhs);
 
-   /// Eliminate the list of DOFs from the columns of the system.
-   /** @a marked_vdofs is the of colunm numbers that will be eliminated.  All
-       entries in the columns will be set to 0.0 through elimination.*/
+   /// Eliminate essential boundary trial DOFs from the system matrix.
+   /** The array @a bdr_attr_is_ess marks boundary attributes that constitute
+       the essential part of the boundary. */
+   void EliminateTrialEssentialBC(const Array<int> &bdr_attr_is_ess);
+
+   /// (DEPRECATED) Eliminate essential boundary trial DOFs from the system.
+   /** @see EliminateTrialEssentialBC() */
+   MFEM_DEPRECATED void EliminateTrialDofs(const Array<int> &bdr_attr_is_ess,
+                                           const Vector &sol, Vector &rhs)
+   { EliminateTrialEssentialBC(bdr_attr_is_ess, sol, rhs); }
+
+   /// Eliminate the given trial @a vdofs. NOTE: here, @a vdofs is a list of DOFs.
+   /** In this case the eliminations are applied to the internal $ M $
+       and @a rhs without storing the elimination matrix $ M_e $. */
+   void EliminateTrialVDofs(const Array<int> &vdofs, const Vector &sol,
+                            Vector &rhs);
+
+   /// Eliminate the given trial @a vdofs, storing the eliminated part internally in $ M_e $.
+   /** This method works in conjunction with EliminateTrialVDofsInRHS() and allows
+       elimination of boundary conditions in multiple right-hand sides. In this
+       method, @a vdofs is a list of DOFs. */
+   void EliminateTrialVDofs(const Array<int> &vdofs);
+
+   /** @brief Use the stored eliminated part of the matrix (see
+       EliminateTrialVDofs(const Array<int> &)) to modify the r.h.s.
+       @a b; @a vdofs is a list of DOFs (non-directional, i.e. >= 0). */
+   void EliminateTrialVDofsInRHS(const Array<int> &vdofs, const Vector &x,
+                                 Vector &b);
+
+   /** @brief Similar to
+      EliminateTrialVDofs(const Array<int> &, const Vector &, Vector &)
+      but here @a ess_dofs is a marker (boolean) array on all vector-dofs
+      (@a ess_dofs[i] < 0 is true). */
    void EliminateEssentialBCFromTrialDofs(const Array<int> &marked_vdofs,
                                           const Vector &sol, Vector &rhs);
 
-   /// Eliminate essential boundary DOFs from the rows of the system.
+   /// Eliminate essential boundary test DOFs from the system matrix.
    /** The array @a bdr_attr_is_ess marks boundary attributes that constitute
-       the essential part of the boundary.  All entries in the rows will be
-       set to 0.0 through elimination.*/
-   virtual void EliminateTestDofs(const Array<int> &bdr_attr_is_ess);
+       the essential part of the boundary. */
+   void EliminateTestEssentialBC(const Array<int> &bdr_attr_is_ess);
+
+   /// (DEPRECATED) Eliminate essential boundary test DOFs from the system.
+   /** @see EliminateTestEssentialBC() */
+   MFEM_DEPRECATED virtual void EliminateTestDofs(const Array<int>
+                                                  &bdr_attr_is_ess)
+   { EliminateTestEssentialBC(bdr_attr_is_ess); }
+
+   /// Eliminate the given test @a vdofs. NOTE: here, @a vdofs is a list of DOFs.
+   void EliminateTestVDofs(const Array<int> &vdofs);
 
    /** @brief Return in @a A that is column-constrained.
 
@@ -1162,7 +1238,7 @@ public:
 
    /** @brief Get the output finite element space restriction matrix in
        transposed form. */
-   virtual const Operator *GetOutputRestrictionTranspose() const
+   const Operator *GetOutputRestrictionTranspose() const override
    { return test_fes->GetRestrictionTransposeOperator(); }
 };
 

fem/bilinearform_ext.hpp

@@ -37,19 +37,19 @@ protected:
 public:
    BilinearFormExtension(BilinearForm *form);
 
-   virtual MemoryClass GetMemoryClass() const
+   MemoryClass GetMemoryClass() const override
    { return Device::GetDeviceMemoryClass(); }
 
    /// Get the finite element space prolongation matrix
-   virtual const Operator *GetProlongation() const;
+   const Operator *GetProlongation() const override;
 
    /// Get the finite element space restriction matrix
-   virtual const Operator *GetRestriction() const;
+   const Operator *GetRestriction() const override;
 
    /// Assemble at the level given for the BilinearFormExtension subclass
    virtual void Assemble() = 0;
 
-   virtual void AssembleDiagonal(Vector &diag) const
+   void AssembleDiagonal(Vector &diag) const override
    {
       MFEM_ABORT("AssembleDiagonal not implemented for this assembly level!");
    }
@@ -83,16 +83,17 @@ protected:
 public:
    PABilinearFormExtension(BilinearForm*);
 
-   void Assemble();
-   void AssembleDiagonal(Vector &diag) const;
-   void FormSystemMatrix(const Array<int> &ess_tdof_list, OperatorHandle &A);
+   void Assemble() override;
+   void AssembleDiagonal(Vector &diag) const override;
+   void FormSystemMatrix(const Array<int> &ess_tdof_list,
+                         OperatorHandle &A) override;
    void FormLinearSystem(const Array<int> &ess_tdof_list,
                          Vector &x, Vector &b,
                          OperatorHandle &A, Vector &X, Vector &B,
-                         int copy_interior = 0);
-   void Mult(const Vector &x, Vector &y) const;
-   void MultTranspose(const Vector &x, Vector &y) const;
-   void Update();
+                         int copy_interior = 0) override;
+   void Mult(const Vector &x, Vector &y) const override;
+   void MultTranspose(const Vector &x, Vector &y) const override;
+   void Update() override;
 
 protected:
    void SetupRestrictionOperators(const L2FaceValues m);
@@ -150,9 +151,9 @@ protected:
 public:
    EABilinearFormExtension(BilinearForm *form);
 
-   void Assemble();
-   void Mult(const Vector &x, Vector &y) const;
-   void MultTranspose(const Vector &x, Vector &y) const;
+   void Assemble() override;
+   void Mult(const Vector &x, Vector &y) const override;
+   void MultTranspose(const Vector &x, Vector &y) const override;
 };
 
 /// Data and methods for fully-assembled bilinear forms
@@ -165,18 +166,19 @@ private:
 public:
    FABilinearFormExtension(BilinearForm *form);
 
-   void Assemble();
+   void Assemble() override;
    void RAP(OperatorHandle &A);
    /** @note Always does `DIAG_ONE` policy to be consistent with
        `Operator::FormConstrainedSystemOperator`. */
    void EliminateBC(const Array<int> &ess_dofs, OperatorHandle &A);
-   void FormSystemMatrix(const Array<int> &ess_tdof_list, OperatorHandle &A);
+   void FormSystemMatrix(const Array<int> &ess_tdof_list,
+                         OperatorHandle &A) override;
    void FormLinearSystem(const Array<int> &ess_tdof_list,
                          Vector &x, Vector &b,
                          OperatorHandle &A, Vector &X, Vector &B,
-                         int copy_interior = 0);
-   void Mult(const Vector &x, Vector &y) const;
-   void MultTranspose(const Vector &x, Vector &y) const;
+                         int copy_interior = 0) override;
+   void Mult(const Vector &x, Vector &y) const override;
+   void MultTranspose(const Vector &x, Vector &y) const override;
 
    /** DGMult and DGMultTranspose use the extended L-vector to perform the
        computation. */
@@ -199,16 +201,17 @@ protected:
 public:
    MFBilinearFormExtension(BilinearForm *form);
 
-   void Assemble();
-   void AssembleDiagonal(Vector &diag) const;
-   void FormSystemMatrix(const Array<int> &ess_tdof_list, OperatorHandle &A);
+   void Assemble() override;
+   void AssembleDiagonal(Vector &diag) const override;
+   void FormSystemMatrix(const Array<int> &ess_tdof_list,
+                         OperatorHandle &A) override;
    void FormLinearSystem(const Array<int> &ess_tdof_list,
                          Vector &x, Vector &b,
                          OperatorHandle &A, Vector &X, Vector &B,
-                         int copy_interior = 0);
-   void Mult(const Vector &x, Vector &y) const;
-   void MultTranspose(const Vector &x, Vector &y) const;
-   void Update();
+                         int copy_interior = 0) override;
+   void Mult(const Vector &x, Vector &y) const override;
+   void MultTranspose(const Vector &x, Vector &y) const override;
+   void Update() override;
 };
 
 /// Class extending the MixedBilinearForm class to support different AssemblyLevels.
@@ -225,20 +228,20 @@ protected:
 public:
    MixedBilinearFormExtension(MixedBilinearForm *form);
 
-   virtual MemoryClass GetMemoryClass() const
+   MemoryClass GetMemoryClass() const override
    { return Device::GetMemoryClass(); }
 
    /// Get the finite element space prolongation matrix
-   virtual const Operator *GetProlongation() const;
+   const Operator *GetProlongation() const override;
 
    /// Get the finite element space restriction matrix
-   virtual const Operator *GetRestriction() const;
+   const Operator *GetRestriction() const override;
 
    /// Get the output finite element space restriction matrix
-   virtual const Operator *GetOutputProlongation() const;
+   const Operator *GetOutputProlongation() const override;
 
    /// Get the output finite element space restriction matrix
-   virtual const Operator *GetOutputRestriction() const;
+   const Operator *GetOutputRestriction() const override;
 
    virtual void Assemble() = 0;
    virtual void FormRectangularSystemOperator(const Array<int> &trial_tdof_list,
@@ -273,7 +276,7 @@ public:
    PAMixedBilinearFormExtension(MixedBilinearForm *form);
 
    /// Partial assembly of all internal integrators
-   void Assemble();
+   void Assemble() override;
    /**
       @brief Setup OperatorHandle A to contain constrained linear operator
 
@@ -283,7 +286,7 @@ public:
    */
    void FormRectangularSystemOperator(const Array<int> &trial_tdof_list,
                                       const Array<int> &test_tdof_list,
-                                      OperatorHandle &A);
+                                      OperatorHandle &A) override;
    /**
       Setup OperatorHandle A to contain constrained linear operator and
       eliminate columns corresponding to essential dofs from system,
@@ -292,20 +295,21 @@ public:
    void FormRectangularLinearSystem(const Array<int> &trial_tdof_list,
                                     const Array<int> &test_tdof_list,
                                     Vector &x, Vector &b,
-                                    OperatorHandle &A, Vector &X, Vector &B);
+                                    OperatorHandle &A, Vector &X, Vector &B) override;
    /// y = A*x
-   void Mult(const Vector &x, Vector &y) const;
+   void Mult(const Vector &x, Vector &y) const override;
    /// y += c*A*x
-   void AddMult(const Vector &x, Vector &y, const real_t c=1.0) const;
+   void AddMult(const Vector &x, Vector &y, const real_t c=1.0) const override;
    /// y = A^T*x
-   void MultTranspose(const Vector &x, Vector &y) const;
+   void MultTranspose(const Vector &x, Vector &y) const override;
    /// y += c*A^T*x
-   void AddMultTranspose(const Vector &x, Vector &y, const real_t c=1.0) const;
+   void AddMultTranspose(const Vector &x, Vector &y,
+                         const real_t c=1.0) const override;
    /// Assemble the diagonal of ADA^T for a diagonal vector D.
-   void AssembleDiagonal_ADAt(const Vector &D, Vector &diag) const;
+   void AssembleDiagonal_ADAt(const Vector &D, Vector &diag) const override;
 
    /// Update internals for when a new MixedBilinearForm is given to this class
-   void Update();
+   void Update() override;
 };
 
 
@@ -322,16 +326,17 @@ public:
    PADiscreteLinearOperatorExtension(DiscreteLinearOperator *linop);
 
    /// Partial assembly of all internal integrators
-   void Assemble();
+   void Assemble() override;
 
-   void AddMult(const Vector &x, Vector &y, const real_t c=1.0) const;
+   void AddMult(const Vector &x, Vector &y, const real_t c=1.0) const override;
 
-   void AddMultTranspose(const Vector &x, Vector &y, const real_t c=1.0) const;
+   void AddMultTranspose(const Vector &x, Vector &y,
+                         const real_t c=1.0) const override;
 
    void FormRectangularSystemOperator(const Array<int>&, const Array<int>&,
-                                      OperatorHandle& A);
+                                      OperatorHandle& A) override;
 
-   const Operator * GetOutputRestrictionTranspose() const;
+   const Operator * GetOutputRestrictionTranspose() const override;
 
 private:
    Vector test_multiplicity;

fem/bilininteg.cpp

@@ -1222,7 +1222,8 @@ real_t DiffusionIntegrator::ComputeFluxEnergy
    for (int i = 0; i < ir->GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
-      fluxelem.CalcShape(ip, shape);
+      Trans.SetIntPoint(&ip);
+      fluxelem.CalcPhysShape(Trans, shape);
 
       pointflux = 0.0;
       for (int k = 0; k < spaceDim; k++)
@@ -1233,7 +1234,6 @@ real_t DiffusionIntegrator::ComputeFluxEnergy
          }
       }
 
-      Trans.SetIntPoint(&ip);
       real_t w = Trans.Weight() * ip.weight;
 
       if (MQ)
@@ -1410,9 +1410,7 @@ void BoundaryMassIntegrator::AssembleFaceMatrix(
       // Set the integration point in the face and the neighboring element
       Trans.SetAllIntPoints(&ip);
 
-      // Access the neighboring element's integration point
-      const IntegrationPoint &eip = Trans.GetElement1IntPoint();
-      el1.CalcShape(eip, shape);
+      el1.CalcPhysShape(*Trans.Elem1, shape);
 
       w = Trans.Weight() * ip.weight;
       if (Q)
@@ -1582,9 +1580,9 @@ void VectorMassIntegrator::AssembleElementMatrix
    for (int s = 0; s < ir->GetNPoints(); s++)
    {
       const IntegrationPoint &ip = ir->IntPoint(s);
-      el.CalcShape(ip, shape);
-
       Trans.SetIntPoint (&ip);
+      el.CalcPhysShape(Trans, shape);
+
       norm = ip.weight * Trans.Weight();
 
       MultVVt(shape, partelmat);
@@ -1666,10 +1664,10 @@ void VectorMassIntegrator::AssembleElementMatrix2(
    for (int s = 0; s < ir->GetNPoints(); s++)
    {
       const IntegrationPoint &ip = ir->IntPoint(s);
-      trial_fe.CalcShape(ip, shape);
-      test_fe.CalcShape(ip, te_shape);
-
       Trans.SetIntPoint(&ip);
+      trial_fe.CalcPhysShape(Trans, shape);
+      test_fe.CalcPhysShape(Trans, te_shape);
+
       norm = ip.weight * Trans.Weight();
 
       MultVWt(te_shape, shape, partelmat);
@@ -1897,12 +1895,12 @@ void VectorFECurlIntegrator::AssembleElementMatrix2(
          if ( trial_fe.GetMapType() == mfem::FiniteElement::H_CURL )
          {
             trial_fe.CalcCurlShape(ip, curlshapeTrial_dFT);
-            test_fe.CalcShape(ip, shapeTest);
+            test_fe.CalcPhysShape(Trans, shapeTest);
          }
          else
          {
             test_fe.CalcCurlShape(ip, curlshapeTrial_dFT);
-            trial_fe.CalcShape(ip, shapeTest);
+            trial_fe.CalcPhysShape(Trans, shapeTest);
          }
       }
 
@@ -1925,6 +1923,89 @@ void VectorFECurlIntegrator::AssembleElementMatrix2(
    }
 }
 
+void VectorFEBoundaryFluxIntegrator::AssembleElementMatrix(
+   const FiniteElement &el, ElementTransformation &Tr,
+   DenseMatrix &elmat)
+{
+   int nd = el.GetDof();
+   real_t w;
+
+#ifdef MFEM_THREAD_SAFE
+   Vector shape;
+#endif
+   elmat.SetSize(nd);
+   shape.SetSize(nd);
+
+   const IntegrationRule *ir = IntRule;
+   if (ir == NULL)
+   {
+      int intorder = 2*el.GetOrder() + Tr.OrderW();  // <----------
+      ir = &IntRules.Get(el.GetGeomType(), intorder);
+   }
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      el.CalcShape(ip, shape);
+
+      Tr.SetIntPoint (&ip);
+      w = ip.weight / Tr.Weight();
+
+      if (Q)
+      {
+         w *= Q->Eval(Tr, ip);
+      }
+
+      AddMult_a_VVt(w, shape, elmat);
+   }
+}
+
+void VectorFEBoundaryFluxIntegrator::AssembleElementMatrix2(
+   const FiniteElement &trial_fe,
+   const FiniteElement &test_fe,
+   ElementTransformation &Tr,
+   DenseMatrix &elmat)
+{
+   int tr_nd = trial_fe.GetDof();
+   int te_nd = test_fe.GetDof();
+   real_t w;
+
+#ifdef MFEM_THREAD_SAFE
+   Vector shape, te_shape;
+#endif
+   elmat.SetSize(te_nd, tr_nd);
+   shape.SetSize(tr_nd);
+   te_shape.SetSize(te_nd);
+
+   const IntegrationRule *ir = IntRule;
+   if (ir == NULL)
+   {
+      int order = trial_fe.GetOrder() + test_fe.GetOrder() + Tr.OrderW();
+
+      ir = &IntRules.Get(trial_fe.GetGeomType(), order);
+   }
+
+   elmat = 0.0;
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+      trial_fe.CalcShape(ip, shape);
+      test_fe.CalcShape(ip, te_shape);
+
+      Tr.SetIntPoint (&ip);
+      w = ip.weight / Tr.Weight();
+
+      if (Q)
+      {
+         w *= Q->Eval(Tr, ip);
+      }
+
+      te_shape *= w;
+      AddMultVWt(te_shape, shape, elmat);
+   }
+}
+
 void DerivativeIntegrator::AssembleElementMatrix2 (
    const FiniteElement &trial_fe,
    const FiniteElement &test_fe,
@@ -1981,7 +2062,7 @@ void DerivativeIntegrator::AssembleElementMatrix2 (
       det = Trans.Weight();
       Mult (dshape, invdfdx, dshapedxt);
 
-      test_fe.CalcShape(ip, shape);
+      test_fe.CalcPhysShape(Trans, shape);
 
       for (l = 0; l < trial_nd; l++)
       {
@@ -2566,7 +2647,7 @@ void VectorFEMassIntegrator::AssembleElementMatrix2(
          Trans.SetIntPoint (&ip);
 
          trial_fe.CalcVShape(Trans, trial_vshape);
-         test_fe.CalcShape(ip, shape);
+         test_fe.CalcPhysShape(Trans, shape);
 
          w = ip.weight * Trans.Weight();
          if (DQ)
@@ -2726,11 +2807,11 @@ void VectorDivergenceIntegrator::AssembleElementMatrix2(
    for (int i = 0; i < ir -> GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
+      Trans.SetIntPoint (&ip);
 
       trial_fe.CalcDShape (ip, dshape);
-      test_fe.CalcShape (ip, shape);
+      test_fe.CalcPhysShape (Trans, shape);
 
-      Trans.SetIntPoint (&ip);
       CalcAdjugate(Trans.Jacobian(), Jadj);
 
       Mult (dshape, Jadj, gshape);
@@ -3231,11 +3312,11 @@ real_t ElasticityIntegrator::ComputeFluxEnergy(const FiniteElement &fluxelem,
    for (int i = 0; i < ir->GetNPoints(); i++)
    {
       const IntegrationPoint &ip = ir->IntPoint(i);
-      fluxelem.CalcShape(ip, shape);
+      Trans.SetIntPoint(&ip);
+      fluxelem.CalcPhysShape(Trans, shape);
 
       flux_mat.MultTranspose(shape, pointstress);
 
-      Trans.SetIntPoint(&ip);
       real_t w = Trans.Weight() * ip.weight;
 
       M = mu->Eval(Trans, ip);
@@ -3342,7 +3423,7 @@ void DGTraceIntegrator::AssembleFaceMatrix(const FiniteElement &el1,
       const IntegrationPoint &eip1 = Trans.GetElement1IntPoint();
       const IntegrationPoint &eip2 = Trans.GetElement2IntPoint();
 
-      el1.CalcShape(eip1, shape1);
+      el1.CalcPhysShape(*Trans.Elem1, shape1);
 
       u->Eval(vu, *Trans.Elem1, eip1);
 
@@ -3389,7 +3470,7 @@ void DGTraceIntegrator::AssembleFaceMatrix(const FiniteElement &el1,
 
       if (ndof2)
       {
-         el2.CalcShape(eip2, shape2);
+         el2.CalcPhysShape(*Trans.Elem2, shape2);
 
          if (w != 0.0)
             for (int i = 0; i < ndof2; i++)
@@ -3939,19 +4020,14 @@ void TraceJumpIntegrator::AssembleFaceMatrix(
       // Set the integration point in the face and the neighboring elements
       Trans.SetAllIntPoints(&ip);
 
-      // Access the neighboring elements' integration points
-      // Note: eip2 will only contain valid data if Elem2 exists
-      const IntegrationPoint &eip1 = Trans.GetElement1IntPoint();
-      const IntegrationPoint &eip2 = Trans.GetElement2IntPoint();
-
       // Trace finite element shape function
       trial_face_fe.CalcShape(ip, face_shape);
       // Side 1 finite element shape function
-      test_fe1.CalcShape(eip1, shape1);
+      test_fe1.CalcPhysShape(*Trans.Elem1, shape1);
       if (ndof2)
       {
          // Side 2 finite element shape function
-         test_fe2.CalcShape(eip2, shape2);
+         test_fe2.CalcPhysShape(*Trans.Elem2, shape2);
       }
       w = ip.weight;
       if (trial_face_fe.GetMapType() == FiniteElement::VALUE)
@@ -4314,8 +4390,8 @@ struct ShapeCoefficient : public VectorCoefficient
       : VectorCoefficient(fe_.GetDof()), Q(q), fe(fe_) { }
 
    using VectorCoefficient::Eval;
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       V.SetSize(vdim);
       fe.CalcPhysShape(T, V);
@@ -4357,8 +4433,8 @@ ScalarVectorProductInterpolator::AssembleElementMatrix2(
       VShapeCoefficient(Coefficient &q, const FiniteElement &fe_, int sdim)
          : MatrixCoefficient(fe_.GetDof(), sdim), Q(q), fe(fe_) { }
 
-      virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                        const IntegrationPoint &ip)
+      void Eval(DenseMatrix &M, ElementTransformation &T,
+                const IntegrationPoint &ip) override
       {
          M.SetSize(height, width);
          fe.CalcPhysVShape(T, M);
@@ -4394,8 +4470,8 @@ VectorScalarProductInterpolator::AssembleElementMatrix2(
          : MatrixCoefficient(fe_.GetDof(), vq.GetVDim()), VQ(vq), fe(fe_),
            vc(width), shape(height) { }
 
-      virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                        const IntegrationPoint &ip)
+      void Eval(DenseMatrix &M, ElementTransformation &T,
+                const IntegrationPoint &ip) override
       {
          M.SetSize(height, width);
          VQ.Eval(vc, T, ip);
@@ -4434,8 +4510,8 @@ ScalarCrossProductInterpolator::AssembleElementMatrix2(
            vshape(vdim, vq.GetVDim()), vc(vq.GetVDim()) { }
 
       using VectorCoefficient::Eval;
-      virtual void Eval(Vector &V, ElementTransformation &T,
-                        const IntegrationPoint &ip)
+      void Eval(Vector &V, ElementTransformation &T,
+                const IntegrationPoint &ip) override
       {
          V.SetSize(vdim);
          VQ.Eval(vc, T, ip);
@@ -4478,8 +4554,8 @@ VectorCrossProductInterpolator::AssembleElementMatrix2(
          MFEM_ASSERT(width == 3, "");
       }
 
-      virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                        const IntegrationPoint &ip)
+      void Eval(DenseMatrix &M, ElementTransformation &T,
+                const IntegrationPoint &ip) override
       {
          M.SetSize(height, width);
          VQ.Eval(vc, T, ip);
@@ -4527,8 +4603,8 @@ struct VDotVShapeCoefficient : public VectorCoefficient
         vshape(vdim, vq.GetVDim()), vc(vq.GetVDim()) { }
 
    using VectorCoefficient::Eval;
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    {
       V.SetSize(vdim);
       VQ.Eval(vc, T, ip);

fem/coefficient.hpp

@@ -90,12 +90,12 @@ public:
    explicit ConstantCoefficient(real_t c = 1.0) { constant=c; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    { return (constant); }
 
    /// Fill the QuadratureFunction @a qf with the constant value.
-   void Project(QuadratureFunction &qf);
+   void Project(QuadratureFunction &qf) override;
 };
 
 /** @brief A piecewise constant coefficient with the constants keyed
@@ -130,8 +130,8 @@ public:
    int GetNConst() { return constants.Size(); }
 
    /// Evaluate the coefficient.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /** @brief A piecewise coefficient with the pieces keyed off the element
@@ -195,7 +195,7 @@ public:
    { InitMap(attr, coefs); }
 
    /// Set the time for time dependent coefficients
-   virtual void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Replace a set of coefficients
    void UpdateCoefficients(const Array<int> & attr,
@@ -211,8 +211,8 @@ public:
    { pieces.erase(attr); }
 
    /// Evaluate the coefficient.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// A general function coefficient
@@ -254,8 +254,8 @@ public:
    }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// A common base class for returning individual components of the domain's
@@ -271,8 +271,8 @@ protected:
 
 public:
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient which returns the x-component of the evaluation point
@@ -307,8 +307,8 @@ public:
    CylindricalRadialCoefficient() : transip(3) {}
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient which returns the angular position or azimuth (often
@@ -323,8 +323,8 @@ public:
    CylindricalAzimuthalCoefficient() : transip(3) {}
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient which returns the height or altitude of
@@ -342,8 +342,8 @@ public:
    SphericalRadialCoefficient() : transip(3) {}
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient which returns the azimuthal angle (often denoted by phi)
@@ -357,8 +357,8 @@ public:
    SphericalAzimuthalCoefficient() : transip(3) {}
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient which returns the polar angle (often denoted by theta)
@@ -372,8 +372,8 @@ public:
    SphericalPolarCoefficient() : transip(3) {}
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 class GridFunction;
@@ -399,15 +399,15 @@ public:
    const GridFunction * GetGridFunction() const { return GridF; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 
    /// @brief Fill the QuadratureFunction @a qf by evaluating the coefficient at
    /// the quadrature points.
    ///
    /// This function uses the efficient QuadratureFunction::ProjectGridFunction
    /// to fill the QuadratureFunction.
-   virtual void Project(QuadratureFunction &qf);
+   void Project(QuadratureFunction &qf) override;
 };
 
 
@@ -433,10 +433,10 @@ public:
       : Q1(q1), Q2(q2), Transform2(std::move(F)) { Transform1 = 0; }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 };
 
 /** @brief Delta function coefficient optionally multiplied by a weight
@@ -488,7 +488,7 @@ public:
    }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Set the center location of the delta function.
    void SetDeltaCenter(const Vector& center);
@@ -534,7 +534,7 @@ public:
    virtual real_t EvalDelta(ElementTransformation &T, const IntegrationPoint &ip);
    /** @brief A DeltaFunction cannot be evaluated. Calling this method will
        cause an MFEM error, terminating the application. */
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    { mfem_error("DeltaCoefficient::Eval"); return 0.; }
    virtual ~DeltaCoefficient() { delete weight; }
 };
@@ -555,10 +555,10 @@ public:
    { c = &c_; attr.Copy(active_attr); }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
    { return active_attr[T.Attribute-1] ? c->Eval(T, ip, GetTime()) : 0.0; }
 };
 
@@ -628,8 +628,8 @@ public:
    using VectorCoefficient::Eval;
 
    ///  Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip) { V = vec; }
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override { V = vec; }
 
    /// Return a reference to the constant vector in this class.
    const Vector& GetVec() const { return vec; }
@@ -698,7 +698,7 @@ public:
       : VectorCoefficient(vd) { InitMap(attr, coefs); }
 
    /// Set the time for time dependent coefficients
-   virtual void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Replace a set of coefficients
    void UpdateCoefficients(const Array<int> & attr,
@@ -713,8 +713,8 @@ public:
    { pieces.erase(attr); }
 
    /// Evaluate the coefficient.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -728,8 +728,8 @@ public:
 
    using VectorCoefficient::Eval;
    /// Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    virtual ~PositionVectorCoefficient() { }
 };
@@ -765,8 +765,8 @@ public:
 
    using VectorCoefficient::Eval;
    /// Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    virtual ~VectorFunctionCoefficient() { }
 };
@@ -787,7 +787,7 @@ public:
    explicit VectorArrayCoefficient(int dim);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Returns i'th coefficient.
    Coefficient* GetCoeff(int i) { return Coeff[i]; }
@@ -806,8 +806,8 @@ public:
    using VectorCoefficient::Eval;
    /** @brief Evaluate the coefficient. Each element of vector V comes from the
        associated array of scalar coefficients. */
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    /// Destroys vector coefficient.
    virtual ~VectorArrayCoefficient();
@@ -836,21 +836,21 @@ public:
    const GridFunction * GetGridFunction() const { return GridFunc; }
 
    /// Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    /** @brief Evaluate the vector coefficients at all of the locations in the
        integration rule and write the vectors into the columns of matrix @a
        M. */
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationRule &ir);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationRule &ir) override;
 
    /// @brief Fill the QuadratureFunction @a qf by evaluating the coefficient at
    /// the quadrature points.
    ///
    /// This function uses the efficient QuadratureFunction::ProjectGridFunction
    /// to fill the QuadratureFunction.
-   virtual void Project(QuadratureFunction &qf);
+   void Project(QuadratureFunction &qf) override;
 
    virtual ~VectorGridFunctionCoefficient() { }
 };
@@ -874,14 +874,14 @@ public:
    const GridFunction * GetGridFunction() const { return GridFunc; }
 
    /// Evaluate the gradient vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    /** @brief Evaluate the gradient vector coefficient at all of the locations
        in the integration rule and write the vectors into columns of matrix @a
        M. */
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationRule &ir);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationRule &ir) override;
 
    virtual ~GradientGridFunctionCoefficient() { }
 };
@@ -905,8 +905,8 @@ public:
 
    using VectorCoefficient::Eval;
    /// Evaluate the vector curl coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    virtual ~CurlGridFunctionCoefficient() { }
 };
@@ -929,8 +929,8 @@ public:
    const GridFunction * GetGridFunction() const { return GridFunc; }
 
    /// Evaluate the scalar divergence coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 
    virtual ~DivergenceGridFunctionCoefficient() { }
 };
@@ -973,7 +973,7 @@ public:
       : VectorCoefficient(dir_.Size()), dir(dir_), d(x,y,z,s) { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Replace the associated DeltaCoefficient with a new DeltaCoefficient.
    /** The new DeltaCoefficient cannot have a specified weight Coefficient, i.e.
@@ -998,8 +998,8 @@ public:
    using VectorCoefficient::Eval;
    /** @brief A VectorDeltaFunction cannot be evaluated. Calling this method
        will cause an MFEM error, terminating the application. */
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip)
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override
    { mfem_error("VectorDeltaCoefficient::Eval"); }
    virtual ~VectorDeltaCoefficient() { }
 };
@@ -1021,17 +1021,17 @@ public:
    { c = &vc; attr.Copy(active_attr); }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    /** @brief Evaluate the vector coefficient at all of the locations in the
        integration rule and write the vectors into the columns of matrix @a
        M. */
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationRule &ir);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationRule &ir) override;
 };
 
 typedef VectorCoefficient DiagonalMatrixCoefficient;
@@ -1113,8 +1113,8 @@ public:
       : MatrixCoefficient(m.Height(), m.Width()), mat(m) { }
    using MatrixCoefficient::Eval;
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip) { M = mat; }
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override { M = mat; }
    /// Return a reference to the constant matrix.
    const DenseMatrix& GetMatrix() { return mat; }
 };
@@ -1207,7 +1207,7 @@ public:
       : MatrixCoefficient(h, w, symm) { InitMap(attr, coefs); }
 
    /// Set the time for time dependent coefficients
-   virtual void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Replace a set of coefficients
    void UpdateCoefficients(const Array<int> & attr,
@@ -1222,8 +1222,8 @@ public:
    { pieces.erase(attr); }
 
    /// Evaluate the coefficient.
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /** @brief A matrix coefficient with an optional scalar coefficient multiplier
@@ -1280,16 +1280,16 @@ public:
    { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    /// (DEPRECATED) Evaluate the symmetric matrix coefficient at @a ip.
    /** @deprecated Use Eval() instead. */
-   virtual void EvalSymmetric(Vector &K, ElementTransformation &T,
-                              const IntegrationPoint &ip);
+   void EvalSymmetric(Vector &K, ElementTransformation &T,
+                      const IntegrationPoint &ip) override;
 
    virtual ~MatrixFunctionCoefficient() { }
 };
@@ -1310,7 +1310,7 @@ public:
    explicit MatrixArrayCoefficient (int dim);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Get the coefficient located at (i,j) in the matrix.
    Coefficient* GetCoeff (int i, int j) { return Coeff[i*width+j]; }
@@ -1328,8 +1328,8 @@ public:
    { return Coeff[i*width+j] ? Coeff[i*width+j] -> Eval(T, ip, GetTime()) : 0.0; }
 
    /// Evaluate the matrix coefficient @a ip.
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    virtual ~MatrixArrayCoefficient();
 };
@@ -1392,11 +1392,11 @@ public:
    { c = &mc; attr.Copy(active_attr); }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Coefficients based on sums, products, or other functions of coefficients.
@@ -1425,7 +1425,7 @@ public:
       : aConst(0.0), a(&A), b(&B), alpha(alpha_), beta(beta_) { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first term in the linear combination as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -1453,8 +1453,8 @@ public:
    real_t GetBeta() const { return beta; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       return alpha * ((a == NULL ) ? aConst : a->Eval(T, ip) )
              + beta * b->Eval(T, ip);
@@ -1502,8 +1502,8 @@ public:
        @note When this method is called, the caller must make sure that the
        IntegrationPoint associated with @a T is the same as @a ip. This can be
        achieved by calling T.SetIntPoint(&ip). */
-   virtual void Eval(DenseMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
 
    /// @deprecated Return a reference to the internal matrix used when evaluating this coefficient as a DenseMatrix.
@@ -1525,8 +1525,8 @@ public:
       : SymmetricMatrixCoefficient(m.Height()), mat(m) { }
    using SymmetricMatrixCoefficient::Eval;
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseSymmetricMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip) { M = mat; }
+   void Eval(DenseSymmetricMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override { M = mat; }
 
    /// Return a reference to the constant matrix.
    const DenseSymmetricMatrix& GetMatrix() { return mat; }
@@ -1576,12 +1576,12 @@ public:
    { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    using SymmetricMatrixCoefficient::Eval;
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseSymmetricMatrix &K, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseSymmetricMatrix &K, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
    virtual ~SymmetricMatrixFunctionCoefficient() { }
 };
@@ -1606,7 +1606,7 @@ public:
       : aConst(0.0), a(&A), b(&B) { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first term in the product as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -1624,8 +1624,8 @@ public:
    Coefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    { return ((a == NULL ) ? aConst : a->Eval(T, ip) ) * b->Eval(T, ip); }
 };
 
@@ -1654,7 +1654,7 @@ public:
       : aConst(0.0), bConst(B), a(&A), b(NULL) { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the numerator in the ratio as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -1677,8 +1677,8 @@ public:
    Coefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    {
       real_t den = (b == NULL ) ? bConst : b->Eval(T, ip);
       MFEM_ASSERT(den != 0.0, "Division by zero in RatioCoefficient");
@@ -1700,7 +1700,7 @@ public:
       : a(&A), p(p_) { }
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the base coefficient
    void SetACoef(Coefficient &A) { a = &A; }
@@ -1713,8 +1713,8 @@ public:
    real_t GetExponent() const { return p; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip)
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override
    { return pow(a->Eval(T, ip), p); }
 };
 
@@ -1733,7 +1733,7 @@ public:
    InnerProductCoefficient(VectorCoefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first vector in the inner product
    void SetACoef(VectorCoefficient &A) { a = &A; }
@@ -1746,8 +1746,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient defined as a cross product of two vectors in the xy-plane.
@@ -1765,7 +1765,7 @@ public:
    VectorRotProductCoefficient(VectorCoefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first vector in the product
    void SetACoef(VectorCoefficient &A) { a = &A; }
@@ -1778,8 +1778,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient defined as the determinant of a matrix coefficient
@@ -1795,7 +1795,7 @@ public:
    DeterminantCoefficient(MatrixCoefficient &A);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -1803,8 +1803,8 @@ public:
    MatrixCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the determinant coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Scalar coefficient defined as the trace of a matrix coefficient
@@ -1820,7 +1820,7 @@ public:
    TraceCoefficient(MatrixCoefficient &A);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -1828,8 +1828,8 @@ public:
    MatrixCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the trace coefficient at @a ip.
-   virtual real_t Eval(ElementTransformation &T,
-                       const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T,
+               const IntegrationPoint &ip) override;
 };
 
 /// Vector coefficient defined as the linear combination of two vectors
@@ -1866,7 +1866,7 @@ public:
                         Coefficient &alpha_, Coefficient &beta_);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first vector coefficient
    void SetACoef(VectorCoefficient &A_) { ACoef = &A_; }
@@ -1909,8 +1909,8 @@ public:
    real_t GetBeta() const { return beta; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -1930,7 +1930,7 @@ public:
    ScalarVectorProductCoefficient(Coefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the scalar factor as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -1948,8 +1948,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -1971,7 +1971,7 @@ public:
    NormalizedVectorCoefficient(VectorCoefficient &A, real_t tol = 1e-6);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the vector coefficient
    void SetACoef(VectorCoefficient &A) { a = &A; }
@@ -1979,8 +1979,8 @@ public:
    VectorCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -1999,7 +1999,7 @@ public:
    VectorCrossProductCoefficient(VectorCoefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first term in the product
    void SetACoef(VectorCoefficient &A) { a = &A; }
@@ -2012,8 +2012,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -2033,7 +2033,7 @@ public:
    MatrixVectorProductCoefficient(MatrixCoefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -2046,8 +2046,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the vector coefficient at @a ip.
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
    using VectorCoefficient::Eval;
 };
 
@@ -2066,8 +2066,8 @@ public:
       : MatrixCoefficient(d, d), dim(d) { }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the linear combination of two matrices
@@ -2088,7 +2088,7 @@ public:
                         real_t alpha_ = 1.0, real_t beta_ = 1.0);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -2111,8 +2111,8 @@ public:
    real_t GetBeta() const { return beta; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the product of two matrices
@@ -2140,8 +2140,8 @@ public:
    MatrixCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /** @brief Matrix coefficient defined as a product of a scalar coefficient and a
@@ -2161,7 +2161,7 @@ public:
    ScalarMatrixProductCoefficient(Coefficient &A, MatrixCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the scalar factor as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -2179,8 +2179,8 @@ public:
    MatrixCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the transpose of a matrix coefficient
@@ -2194,7 +2194,7 @@ public:
    TransposeMatrixCoefficient(MatrixCoefficient &A);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -2202,8 +2202,8 @@ public:
    MatrixCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the inverse of a matrix coefficient.
@@ -2217,7 +2217,7 @@ public:
    InverseMatrixCoefficient(MatrixCoefficient &A);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -2225,8 +2225,8 @@ public:
    MatrixCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the exponential of a matrix coefficient.
@@ -2240,7 +2240,7 @@ public:
    ExponentialMatrixCoefficient(MatrixCoefficient &A);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the matrix coefficient
    void SetACoef(MatrixCoefficient &A) { a = &A; }
@@ -2248,8 +2248,8 @@ public:
    MatrixCoefficient * GetACoef() const { return a; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /// Matrix coefficient defined as the outer product of two vector coefficients.
@@ -2267,7 +2267,7 @@ public:
    OuterProductCoefficient(VectorCoefficient &A, VectorCoefficient &B);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the first vector in the outer product
    void SetACoef(VectorCoefficient &A) { a = &A; }
@@ -2280,8 +2280,8 @@ public:
    VectorCoefficient * GetBCoef() const { return b; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 
 /** @brief Matrix coefficient defined as -a k x k x, for a vector k and scalar a
@@ -2305,7 +2305,7 @@ public:
    CrossCrossCoefficient(Coefficient &A, VectorCoefficient &K);
 
    /// Set the time for internally stored coefficients
-   void SetTime(real_t t);
+   void SetTime(real_t t) override;
 
    /// Reset the scalar factor as a constant
    void SetAConst(real_t A) { a = NULL; aConst = A; }
@@ -2323,8 +2323,8 @@ public:
    VectorCoefficient * GetKCoef() const { return k; }
 
    /// Evaluate the matrix coefficient at @a ip.
-   virtual void Eval(DenseMatrix &M, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(DenseMatrix &M, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 };
 ///@}
 
@@ -2349,10 +2349,10 @@ public:
    const QuadratureFunction& GetQuadFunction() const { return QuadF; }
 
    using VectorCoefficient::Eval;
-   virtual void Eval(Vector &V, ElementTransformation &T,
-                     const IntegrationPoint &ip);
+   void Eval(Vector &V, ElementTransformation &T,
+             const IntegrationPoint &ip) override;
 
-   virtual void Project(QuadratureFunction &qf);
+   void Project(QuadratureFunction &qf) override;
 
    virtual ~VectorQuadratureFunctionCoefficient() { }
 };
@@ -2371,9 +2371,9 @@ public:
 
    const QuadratureFunction& GetQuadFunction() const { return QuadF; }
 
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
 
-   virtual void Project(QuadratureFunction &qf);
+   void Project(QuadratureFunction &qf) override;
 
    virtual ~QuadratureFunctionCoefficient() { }
 };

fem/datacollection.cpp

@@ -943,6 +943,7 @@ void ParaViewDataCollection::Save()
             pvtu_out << "<PDataArray type=\"" << GetDataTypeString()
                      << "\" Name=\"" << field_it.first
                      << "\" NumberOfComponents=\"" << vec_dim << "\" "
+                     << VTKComponentLabels(vec_dim) << " "
                      << "format=\"" << GetDataFormatString() << "\" />\n";
          }
          pvtu_out << "</PPointData>\n";
@@ -977,6 +978,7 @@ void ParaViewDataCollection::Save()
          pvtu_out << "<PDataArray type=\"" << GetDataTypeString()
                   << "\" Name=\"" << q_field_name
                   << "\" NumberOfComponents=\"" << vec_dim << "\" "
+                  << VTKComponentLabels(vec_dim) << " "
                   << "format=\"" << GetDataFormatString() << "\" />\n";
          pvtu_out << "</PPointData>\n";
          WritePVTUFooter(pvtu_out, q_field_name);
@@ -1069,8 +1071,9 @@ void ParaViewDataCollection::SaveGFieldVTU(std::ostream &os, int ref_,
    int vec_dim = it->second->VectorDim();
    os << "<DataArray type=\"" << GetDataTypeString()
       << "\" Name=\"" << it->first
-      << "\" NumberOfComponents=\"" << vec_dim << "\""
-      << " format=\"" << GetDataFormatString() << "\" >" << '\n';
+      << "\" NumberOfComponents=\"" << vec_dim << "\" "
+      << VTKComponentLabels(vec_dim) << " "
+      << "format=\"" << GetDataFormatString() << "\" >" << '\n';
    if (vec_dim == 1)
    {
       // scalar data

fem/datacollection.hpp

@@ -454,28 +454,28 @@ public:
 #endif
 
    /// Set/change the mesh associated with the collection
-   virtual void SetMesh(Mesh *new_mesh) override;
+   void SetMesh(Mesh *new_mesh) override;
 
 #ifdef MFEM_USE_MPI
    /// Set/change the mesh associated with the collection.
-   virtual void SetMesh(MPI_Comm comm, Mesh *new_mesh) override;
+   void SetMesh(MPI_Comm comm, Mesh *new_mesh) override;
 #endif
 
    /// Add a grid function to the collection and update the root file
-   virtual void RegisterField(const std::string& field_name,
-                              GridFunction *gf) override;
+   void RegisterField(const std::string& field_name,
+                      GridFunction *gf) override;
 
    /// Add a quadrature function to the collection and update the root file.
    /** Visualization of quadrature function is not supported in VisIt(3.12).
        A patch has been sent to VisIt developers in June 2020. */
-   virtual void RegisterQField(const std::string& q_field_name,
-                               QuadratureFunction *qf) override;
+   void RegisterQField(const std::string& q_field_name,
+                       QuadratureFunction *qf) override;
 
    /// Set the number of digits used for both the cycle and the MPI rank
    /// @note VisIt seems to require 6 pad digits for the MPI rank. Therefore,
    /// this function uses this default value. This behavior can be overridden
    /// by calling SetPadDigitsCycle() and SetPadDigitsRank() instead.
-   virtual void SetPadDigits(int digits) override
+   void SetPadDigits(int digits) override
    { pad_digits_cycle=digits; pad_digits_rank=6; }
 
    /// Set VisIt parameter: default levels of detail for the MultiresControl
@@ -489,13 +489,13 @@ public:
    void DeleteAll();
 
    /// Save the collection and a VisIt root file
-   virtual void Save() override;
+   void Save() override;
 
    /// Save a VisIt root file for the collection
    void SaveRootFile();
 
    /// Load the collection based on its VisIt data (described in its root file)
-   virtual void Load(int cycle_ = 0) override;
+   void Load(int cycle_ = 0) override;
 
    /// We will delete the mesh and fields if we own them
    virtual ~VisItDataCollection() {}
@@ -546,7 +546,7 @@ public:
 
    /// Save the collection - the directory name is constructed based on the
    /// cycle value
-   virtual void Save() override;
+   void Save() override;
 
    /// Set the data format for the ParaView output files. Possible options are
    /// VTKFormat::ASCII, VTKFormat::BINARY, and VTKFormat::BINARY32.
@@ -590,7 +590,7 @@ public:
    void UseRestartMode(bool restart_mode_);
 
    /// Load the collection - not implemented in the ParaView writer
-   virtual void Load(int cycle_ = 0) override;
+   void Load(int cycle_ = 0) override;
 };
 
 }

fem/eltrans.hpp

@@ -385,10 +385,10 @@ private:
 
    /** @brief Evaluate the Jacobian of the transformation at the IntPoint and
        store it in dFdx. */
-   virtual const DenseMatrix &EvalJacobian();
+   const DenseMatrix &EvalJacobian() override;
    // Evaluate the Hessian of the transformation at the IntPoint and store it
    // in d2Fdx2.
-   virtual const DenseMatrix &EvalHessian();
+   const DenseMatrix &EvalHessian() override;
 
 public:
    IsoparametricTransformation() : FElem(NULL) {}
@@ -430,32 +430,32 @@ public:
 
    /** @brief Transform integration point from reference coordinates to
        physical coordinates and store them in the vector. */
-   virtual void Transform(const IntegrationPoint &, Vector &);
+   void Transform(const IntegrationPoint &, Vector &) override;
 
    /** @brief Transform all the integration points from the integration rule
        from reference coordinates to physical
       coordinates and store them as column vectors in the matrix. */
-   virtual void Transform(const IntegrationRule &, DenseMatrix &);
+   void Transform(const IntegrationRule &, DenseMatrix &) override;
 
    /** @brief Transform all the integration points from the column vectors
        of @a matrix from reference coordinates to physical
        coordinates and store them as column vectors in @a result. */
-   virtual void Transform(const DenseMatrix &matrix, DenseMatrix &result);
+   void Transform(const DenseMatrix &matrix, DenseMatrix &result) override;
 
    /// Return the order of the current element we are using for the transformation.
-   virtual int Order() const { return FElem->GetOrder(); }
+   int Order() const override { return FElem->GetOrder(); }
 
    /// Return the order of the elements of the Jacobian of the transformation.
-   virtual int OrderJ() const;
+   int OrderJ() const override;
 
    /** @brief Return the order of the determinant of the Jacobian (weight)
        of the transformation. */
-   virtual int OrderW() const;
+   int OrderW() const override;
 
    /// Return the order of $ adj(J)^T \nabla fi $
-   virtual int OrderGrad(const FiniteElement *fe) const;
+   int OrderGrad(const FiniteElement *fe) const override;
 
-   virtual int GetSpaceDim() const { return PointMat.Height(); }
+   int GetSpaceDim() const override { return PointMat.Height(); }
 
    /** @brief Transform a point @a pt from physical space to a point @a ip in
        reference space and optionally can set a solver tolerance using @a phys_tol. */
@@ -463,8 +463,8 @@ public:
        point in physical space. If the inversion fails a non-zero value is
        returned. This method is not 100 percent reliable for non-linear
        transformations. */
-   virtual int TransformBack(const Vector & v, IntegrationPoint & ip,
-                             const real_t phys_rel_tol = tol_0)
+   int TransformBack (const Vector & v, IntegrationPoint & ip,
+                      const real_t phys_rel_tol = tol_0) override
    {
       InverseElementTransformation inv_tr(this);
       inv_tr.SetPhysicalRelTol(phys_rel_tol);
@@ -604,9 +604,9 @@ public:
        has been configured. */
    const IntegrationPoint &GetElement2IntPoint() { return eip2; }
 
-   virtual void Transform(const IntegrationPoint &, Vector &);
-   virtual void Transform(const IntegrationRule &, DenseMatrix &);
-   virtual void Transform(const DenseMatrix &matrix, DenseMatrix &result);
+   void Transform(const IntegrationPoint &, Vector &) override;
+   void Transform(const IntegrationRule &, DenseMatrix &) override;
+   void Transform(const DenseMatrix &matrix, DenseMatrix &result) override;
 
    ElementTransformation & GetElement1Transformation();
    ElementTransformation & GetElement2Transformation();

fem/estimators.hpp

@@ -172,10 +172,10 @@ public:
    void SetFluxAveraging(int fa) { flux_averaging = fa; }
 
    /// Return the total error from the last error estimate.
-   virtual real_t GetTotalError() const override { return total_error; }
+   real_t GetTotalError() const override { return total_error; }
 
    /// Get a Vector with all element errors.
-   virtual const Vector &GetLocalErrors() override
+   const Vector &GetLocalErrors() override
    {
       if (MeshIsModified()) { ComputeEstimates(); }
       return error_estimates;
@@ -184,14 +184,14 @@ public:
    /** @brief Get an Array<int> with anisotropic flags for all mesh elements.
        Return an empty array when anisotropic estimates are not available or
        enabled. */
-   virtual const Array<int> &GetAnisotropicFlags() override
+   const Array<int> &GetAnisotropicFlags() override
    {
       if (MeshIsModified()) { ComputeEstimates(); }
       return aniso_flags;
    }
 
    /// Reset the error estimator.
-   virtual void Reset() override { current_sequence = -1; }
+   void Reset() override { current_sequence = -1; }
 
    /** @brief Destroy a ZienkiewiczZhuEstimator object. Destroys, if owned, the
        FiniteElementSpace, flux_space. */
@@ -298,17 +298,17 @@ public:
    }
 
    /// Return the total error from the last error estimate.
-   virtual real_t GetTotalError() const override { return total_error; }
+   real_t GetTotalError() const override { return total_error; }
 
    /// Get a Vector with all element errors.
-   virtual const Vector &GetLocalErrors() override
+   const Vector &GetLocalErrors() override
    {
       if (MeshIsModified()) { ComputeEstimates(); }
       return error_estimates;
    }
 
    /// Reset the error estimator.
-   virtual void Reset() override { current_sequence = -1; }
+   void Reset() override { current_sequence = -1; }
 
    virtual ~LSZienkiewiczZhuEstimator() { }
 };
@@ -411,17 +411,17 @@ public:
    void SetLocalErrorNormP(int p) { local_norm_p = p; }
 
    /// Return the total error from the last error estimate.
-   virtual real_t GetTotalError() const override { return total_error; }
+   real_t GetTotalError() const override { return total_error; }
 
    /// Get a Vector with all element errors.
-   virtual const Vector &GetLocalErrors() override
+   const Vector &GetLocalErrors() override
    {
       if (MeshIsModified()) { ComputeEstimates(); }
       return error_estimates;
    }
 
    /// Reset the error estimator.
-   virtual void Reset() override { current_sequence = -1; }
+   void Reset() override { current_sequence = -1; }
 
    /** @brief Destroy a L2ZienkiewiczZhuEstimator object. Destroys, if owned,
        the FiniteElementSpace, flux_space. */
@@ -505,10 +505,10 @@ public:
    void SetCoef(VectorCoefficient &A) { vcoef = &A; }
 
    /// Reset the error estimator.
-   virtual void Reset() override { current_sequence = -1; }
+   void Reset() override { current_sequence = -1; }
 
    /// Get a Vector with all element errors.
-   virtual const Vector &GetLocalErrors() override
+   const Vector &GetLocalErrors() override
    {
       if (MeshIsModified()) { ComputeEstimates(); }
       return error_estimates;
@@ -661,7 +661,7 @@ public:
    /// Reset the error estimator.
    void Reset() override { current_sequence = -1; };
 
-   virtual real_t GetTotalError() const override { return total_error; }
+   real_t GetTotalError() const override { return total_error; }
 
    /** @brief Change the method to compute hₑ on a per-element basis.
        @param compute_element_coefficient_

fem/fe/fe_h1.hpp

@@ -28,12 +28,12 @@ private:
 public:
    /// Construct the H1_SegmentElement of order @a p and BasisType @a btype
    H1_SegmentElement(const int p, const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian(const IntegrationPoint &ip,
-                            DenseMatrix &Hessian) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian(const IntegrationPoint &ip,
+                    DenseMatrix &Hessian) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -49,12 +49,12 @@ public:
    /// Construct the H1_QuadrilateralElement of order @a p and BasisType @a btype
    H1_QuadrilateralElement(const int p,
                            const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian(const IntegrationPoint &ip,
-                            DenseMatrix &Hessian) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian(const IntegrationPoint &ip,
+                    DenseMatrix &Hessian) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -70,12 +70,12 @@ private:
 public:
    /// Construct the H1_HexahedronElement of order @a p and BasisType @a btype
    H1_HexahedronElement(const int p, const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian(const IntegrationPoint &ip,
-                            DenseMatrix &Hessian) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian(const IntegrationPoint &ip,
+                    DenseMatrix &Hessian) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -93,11 +93,11 @@ private:
 public:
    /// Construct the H1_TriangleElement of order @a p and BasisType @a btype
    H1_TriangleElement(const int p, const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian(const IntegrationPoint &ip,
-                            DenseMatrix &ddshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian(const IntegrationPoint &ip,
+                    DenseMatrix &ddshape) const override;
 };
 
 
@@ -117,11 +117,11 @@ public:
    /// Construct the H1_TetrahedronElement of order @a p and BasisType @a btype
    H1_TetrahedronElement(const int p,
                          const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian(const IntegrationPoint &ip,
-                            DenseMatrix &ddshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian(const IntegrationPoint &ip,
+                    DenseMatrix &ddshape) const override;
 };
 
 
@@ -143,9 +143,9 @@ public:
    /// Construct the H1_WedgeElement of order @a p and BasisType @a btype
    H1_WedgeElement(const int p,
                    const int btype = BasisType::GaussLobatto);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 } // namespace mfem

fem/fe/fe_l2.hpp

@@ -28,13 +28,13 @@ private:
 public:
    /// Construct the L2_SegmentElement of order @a p and BasisType @a btype
    L2_SegmentElement(const int p, const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
 };
@@ -52,25 +52,25 @@ public:
    /// Construct the L2_QuadrilateralElement of order @a p and BasisType @a btype
    L2_QuadrilateralElement(const int p,
                            const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_2D(fe, Trans, curl); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
    using FiniteElement::Project;
-   virtual void ProjectDiv(const FiniteElement &fe,
-                           ElementTransformation &Trans,
-                           DenseMatrix &div) const;
-   virtual void Project(Coefficient &coeff,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void ProjectDiv(const FiniteElement &fe,
+                   ElementTransformation &Trans,
+                   DenseMatrix &div) const override;
+   void Project(Coefficient &coeff,
+                ElementTransformation &Trans, Vector &dofs) const override;
 };
 
 
@@ -86,21 +86,21 @@ public:
    /// Construct the L2_HexahedronElement of order @a p and BasisType @a btype
    L2_HexahedronElement(const int p,
                         const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
    using FiniteElement::Project;
-   virtual void ProjectDiv(const FiniteElement &fe,
-                           ElementTransformation &Trans,
-                           DenseMatrix &div) const;
-   virtual void Project(Coefficient &coeff,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void ProjectDiv(const FiniteElement &fe,
+                   ElementTransformation &Trans,
+                   DenseMatrix &div) const override;
+   void Project(Coefficient &coeff,
+                ElementTransformation &Trans, Vector &dofs) const override;
 };
 
 
@@ -118,17 +118,17 @@ public:
    /// Construct the L2_TriangleElement of order @a p and BasisType @a btype
    L2_TriangleElement(const int p,
                       const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_2D(fe, Trans, curl); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
 };
@@ -149,13 +149,13 @@ public:
    /// Construct the L2_TetrahedronElement of order @a p and BasisType @a btype
    L2_TetrahedronElement(const int p,
                          const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
 };
@@ -178,9 +178,9 @@ public:
    /// Construct the L2_WedgeElement of order @a p and BasisType @a btype
    L2_WedgeElement(const int p,
                    const int btype = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 } // namespace mfem

fem/fe/fe_nd.hpp

@@ -36,62 +36,63 @@ public:
                         const int cb_type = BasisType::GaussLobatto,
                         const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
 
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    {
       if (obasis1d.IsIntegratedType()) { ProjectIntegrated(vc, Trans, dofs); }
       else { Project_ND(tk, dof2tk, vc, Trans, dofs); }
    }
 
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
 
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
 
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
 
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_ND(tk, dof2tk, fe, Trans, curl); }
 
-   virtual void GetFaceMap(const int face_id, Array<int> &face_map) const;
+   void GetFaceMap(const int face_id, Array<int> &face_map) const override;
 
 protected:
    void ProjectIntegrated(VectorCoefficient &vc,
@@ -118,46 +119,47 @@ public:
    ND_QuadrilateralElement(const int p,
                            const int cb_type = BasisType::GaussLobatto,
                            const int ob_type = BasisType::GaussLegendre);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    {
       if (obasis1d.IsIntegratedType()) { ProjectIntegrated(vc, Trans, dofs); }
       else { Project_ND(tk, dof2tk, vc, Trans, dofs); }
    }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 
-   virtual void GetFaceMap(const int face_id, Array<int> &face_map) const;
+   void GetFaceMap(const int face_id, Array<int> &face_map) const override;
 
 protected:
    void ProjectIntegrated(VectorCoefficient &vc,
@@ -184,47 +186,48 @@ class ND_TetrahedronElement : public VectorFiniteElement
 public:
    /// Construct the ND_TetrahedronElement of order @a p
    ND_TetrahedronElement(const int p);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
-   virtual const StatelessDofTransformation *GetDofTransformation() const
+   const StatelessDofTransformation *GetDofTransformation() const override
    { return &doftrans; }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_ND(tk, dof2tk, fe, Trans, curl); }
 };
 
@@ -247,42 +250,43 @@ class ND_TriangleElement : public VectorFiniteElement
 public:
    /// Construct the ND_TriangleElement of order @a p
    ND_TriangleElement(const int p);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
-   virtual const StatelessDofTransformation *GetDofTransformation() const
+   const StatelessDofTransformation *GetDofTransformation() const override
    { return &doftrans; }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 };
 
@@ -298,39 +302,40 @@ public:
    /** @brief Construct the ND_SegmentElement of order @a p and open
        BasisType @a ob_type */
    ND_SegmentElement(const int p, const int ob_type = BasisType::GaussLegendre);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override
    { obasis1d.Eval(ip.x, shape); }
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
-   // virtual void CalcCurlShape(const IntegrationPoint &ip,
+   // void CalcCurlShape(const IntegrationPoint &ip,
    //                            DenseMatrix &curl_shape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 };
 
@@ -358,53 +363,54 @@ public:
                    const int cb_type = BasisType::GaussLobatto,
                    const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_ND(Trans, shape); }
 
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
 
-   virtual const StatelessDofTransformation *GetDofTransformation() const
+   const StatelessDofTransformation *GetDofTransformation() const override
    { return &doftrans; }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
 
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
 
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_ND(tk, dof2tk, fe, Trans, I); }
 
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_ND(tk, dof2tk, fe, Trans, curl); }
 };
 
@@ -423,11 +429,11 @@ public:
 
    using FiniteElement::CalcVShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 };
 
 /// Arbitrary order, three component, Nedelec elements in 1D on a segment
@@ -455,56 +461,57 @@ public:
    using FiniteElement::CalcVShape;
    using FiniteElement::CalcPhysCurlShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
-   virtual void CalcPhysCurlShape(ElementTransformation &Trans,
-                                  DenseMatrix &curl_shape) const;
+   void CalcPhysCurlShape(ElementTransformation &Trans,
+                          DenseMatrix &curl_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_ND(*this, tk, dof2tk, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_ND(tk, dof2tk, Trans, R); }
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_ND(CheckVectorFE(fe), tk, dof2tk, Trans, I); }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_ND(tk, dof2tk, vc, Trans, dofs); }
 
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_ND(tk, dof2tk, mc, T, dofs); }
 
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const;
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override;
 
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_ND(tk, dof2tk, fe, Trans, grad); }
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_ND(tk, dof2tk, fe, Trans, curl); }
 };
 
@@ -535,32 +542,32 @@ public:
                          const int cb_type = BasisType::GaussLobatto,
                          const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation(*this, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { MFEM_ABORT("method is not overloaded"); }
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation(CheckVectorFE(fe), Trans, I); }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override;
 };
 
 class ND_R2D_FiniteElement : public VectorFiniteElement
@@ -580,35 +587,35 @@ public:
    using FiniteElement::CalcVShape;
    using FiniteElement::CalcPhysCurlShape;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcPhysCurlShape(ElementTransformation &Trans,
-                                  DenseMatrix &curl_shape) const;
+   void CalcPhysCurlShape(ElementTransformation &Trans,
+                          DenseMatrix &curl_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation(*this, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const;
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override;
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation(CheckVectorFE(fe), Trans, I); }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const;
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override;
 
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const;
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override;
 };
 
 /// Arbitrary order Nedelec 3D elements in 2D on a triangle
@@ -635,10 +642,10 @@ public:
    using ND_R2D_FiniteElement::CalcVShape;
    using ND_R2D_FiniteElement::CalcPhysCurlShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 };
 
 
@@ -664,10 +671,10 @@ public:
    using ND_R2D_FiniteElement::CalcVShape;
    using ND_R2D_FiniteElement::CalcPhysCurlShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 };
 
 

fem/fe/fe_nurbs.hpp

@@ -80,12 +80,12 @@ public:
         NURBSFiniteElement(1),
         shape_x(p + 1) { }
 
-   virtual void SetOrder() const;
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian (const IntegrationPoint &ip,
-                             DenseMatrix &hessian) const;
+   void SetOrder() const override;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian (const IntegrationPoint &ip,
+                     DenseMatrix &hessian) const override;
 };
 
 /// An arbitrary order 2D NURBS element on a square
@@ -115,12 +115,12 @@ public:
         dshape_y(py + 1), d2shape_x(px + 1), d2shape_y(py + 1), du(dof,2)
    { orders[0] = px; orders[1] = py; }
 
-   virtual void SetOrder() const;
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian (const IntegrationPoint &ip,
-                             DenseMatrix &hessian) const;
+   void SetOrder() const override;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian (const IntegrationPoint &ip,
+                     DenseMatrix &hessian) const override;
 };
 
 /// An arbitrary order 3D NURBS element on a cube
@@ -155,12 +155,12 @@ public:
         d2shape_x(px + 1), d2shape_y(py + 1), d2shape_z(pz + 1), du(dof,3)
    { orders[0] = px; orders[1] = py; orders[2] = pz; }
 
-   virtual void SetOrder() const;
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void CalcHessian (const IntegrationPoint &ip,
-                             DenseMatrix &hessian) const;
+   void SetOrder() const override;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void CalcHessian (const IntegrationPoint &ip,
+                     DenseMatrix &hessian) const override;
 };
 
 
@@ -221,10 +221,10 @@ public:
       kv1[1] = nullptr;
    }
 
-   virtual void SetOrder() const;
+   void SetOrder() const override;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the values of all shape functions of a *vector* finite
        element in physical space at the point described by @a Trans. */
@@ -232,15 +232,15 @@ public:
        one vector shape function. The size (#dof x SDim) of @a shape must be set
        in advance, where SDim >= #dim is the physical space dimension as
        described by @a Trans. */
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the divergence of all shape functions of a *vector*
        finite element in reference space at the given point @a ip. */
    /** The size (#dof) of the result Vector @a divshape must be set in advance.
     */
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
 
    ~NURBS_HDiv2DFiniteElement();
 };
@@ -315,10 +315,10 @@ public:
       kv1[2] = nullptr;
    }
 
-   virtual void SetOrder() const;
+   void SetOrder() const override;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the values of all shape functions of a *vector* finite
        element in physical space at the point described by @a Trans. */
@@ -326,15 +326,15 @@ public:
        one vector shape function. The size (#dof x SDim) of @a shape must be set
        in advance, where SDim >= #dim is the physical space dimension as
        described by @a Trans. */
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the divergence of all shape functions of a *vector*
        finite element in reference space at the given point @a ip. */
    /** The size (#dof) of the result Vector @a divshape must be set in advance.
     */
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
 
    ~NURBS_HDiv3DFiniteElement();
 };
@@ -392,10 +392,10 @@ public:
       kv1[1] = nullptr;
    }
 
-   virtual void SetOrder() const;
+   void SetOrder() const override;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the values of all shape functions of a *vector* finite
        element in physical space at the point described by @a Trans. */
@@ -403,8 +403,8 @@ public:
        one vector shape function. The size (#dof x SDim) of @a shape must be set
        in advance, where SDim >= #dim is the physical space dimension as
        described by @a Trans. */
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the curl of all shape functions of a *vector* finite
        element in reference space at the given point @a ip. */
@@ -412,8 +412,8 @@ public:
        of the curl of one vector shape function. The size (#dof x CDim) of
        @a curl_shape must be set in advance, where CDim = 3 for #dim = 3 and
        CDim = 1 for #dim = 2. */
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
    ~NURBS_HCurl2DFiniteElement();
 };
@@ -483,10 +483,10 @@ public:
       kv1[2] = nullptr;
    }
 
-   virtual void SetOrder() const;
+   void SetOrder() const override;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the values of all shape functions of a *vector* finite
        element in physical space at the point described by @a Trans. */
@@ -494,8 +494,8 @@ public:
        one vector shape function. The size (#dof x SDim) of @a shape must be set
        in advance, where SDim >= #dim is the physical space dimension as
        described by @a Trans. */
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
    /** @brief Evaluate the curl of all shape functions of a *vector* finite
        element in reference space at the given point @a ip. */
@@ -503,8 +503,8 @@ public:
        of the curl of one vector shape function. The size (#dof x CDim) of
        @a curl_shape must be set in advance, where CDim = 3 for #dim = 3 and
        CDim = 1 for #dim = 2. */
-   virtual void CalcCurlShape(const IntegrationPoint &ip,
-                              DenseMatrix &curl_shape) const;
+   void CalcCurlShape(const IntegrationPoint &ip,
+                      DenseMatrix &curl_shape) const override;
 
    ~NURBS_HCurl3DFiniteElement();
 };

fem/fe/fe_pos.hpp

@@ -34,31 +34,31 @@ public:
       ScalarFiniteElement(D, G, Do, O, F)
    { }
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { ScalarLocalInterpolation(Trans, I, *this); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { ScalarLocalL2Restriction(Trans, R, *this); }
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { CheckScalarFE(fe).ScalarLocalInterpolation(Trans, I, *this); }
 
    using FiniteElement::Project;
 
    // Low-order monotone "projection" (actually it is not a projection): the
    // dofs are set to be the Coefficient values at the nodes.
-   virtual void Project(Coefficient &coeff,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(Coefficient &coeff,
+                ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void Project (VectorCoefficient &vc,
-                         ElementTransformation &Trans, Vector &dofs) const;
+   void Project (VectorCoefficient &vc,
+                 ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const;
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override;
 };
 
 
@@ -88,17 +88,17 @@ class BiQuadPos2DFiniteElement : public PositiveFiniteElement
 public:
    /// Construct the BiQuadPos2DFiniteElement
    BiQuadPos2DFiniteElement();
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override;
    using FiniteElement::Project;
-   virtual void Project(Coefficient &coeff, ElementTransformation &Trans,
-                        Vector &dofs) const;
-   virtual void Project(VectorCoefficient &vc, ElementTransformation &Trans,
-                        Vector &dofs) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const
+   void Project(Coefficient &coeff, ElementTransformation &Trans,
+                Vector &dofs) const override;
+   void Project(VectorCoefficient &vc, ElementTransformation &Trans,
+                Vector &dofs) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override
    { dofs = 0.; dofs(vertex) = 1.; }
 };
 
@@ -109,9 +109,9 @@ class QuadPos1DFiniteElement : public PositiveFiniteElement
 public:
    /// Construct the QuadPos1DFiniteElement
    QuadPos1DFiniteElement();
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 
@@ -131,10 +131,10 @@ private:
 public:
    /// Construct the H1Pos_SegmentElement of order @a p
    H1Pos_SegmentElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -150,10 +150,10 @@ private:
 public:
    /// Construct the H1Pos_QuadrilateralElement of order @a p
    H1Pos_QuadrilateralElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -169,10 +169,10 @@ private:
 public:
    /// Construct the H1Pos_HexahedronElement of order @a p
    H1Pos_HexahedronElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -198,9 +198,9 @@ public:
    static void CalcDShape(const int p, const real_t x, const real_t y,
                           real_t *dshape_1d, real_t *dshape);
 
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 
@@ -227,9 +227,9 @@ public:
    static void CalcDShape(const int p, const real_t x, const real_t y,
                           const real_t z, real_t *dshape_1d, real_t *dshape);
 
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 
@@ -250,9 +250,9 @@ public:
    /// Construct the H1Pos_WedgeElement of order @a p
    H1Pos_WedgeElement(const int p);
 
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 
@@ -267,10 +267,10 @@ private:
 public:
    /// Construct the L2Pos_SegmentElement of order @a p
    L2Pos_SegmentElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -285,10 +285,10 @@ private:
 public:
    /// Construct the L2Pos_QuadrilateralElement of order @a p
    L2Pos_QuadrilateralElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -303,10 +303,10 @@ private:
 public:
    /// Construct the L2Pos_HexahedronElement of order @a p
    L2Pos_HexahedronElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -321,10 +321,10 @@ private:
 public:
    /// Construct the L2Pos_TriangleElement of order @a p
    L2Pos_TriangleElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -340,10 +340,10 @@ private:
 public:
    /// Construct the L2Pos_TetrahedronElement of order @a p
    L2Pos_TetrahedronElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void ProjectDelta(int vertex, Vector &dofs) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void ProjectDelta(int vertex, Vector &dofs) const override;
 };
 
 
@@ -364,9 +364,9 @@ public:
    /// Construct the L2Pos_WedgeElement of order @a p
    L2Pos_WedgeElement(const int p);
 
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
 };
 
 } // namespace mfem

fem/fe/fe_rt.hpp

@@ -38,51 +38,52 @@ public:
    RT_QuadrilateralElement(const int p,
                            const int cb_type = BasisType::GaussLobatto,
                            const int ob_type = BasisType::GaussLegendre);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_RT(Trans, shape); }
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_RT(*this, nk, dof2nk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_RT(nk, dof2nk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_RT(CheckVectorFE(fe), nk, dof2nk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    {
       if (obasis1d.IsIntegratedType()) { ProjectIntegrated(vc, Trans, dofs); }
       else { Project_RT(nk, dof2nk, vc, Trans, dofs); }
    }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_RT(nk, dof2nk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_RT(nk, dof2nk, fe, Trans, I); }
    // Gradient + rotation = Curl: H1 -> H(div)
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_RT(nk, dof2nk, fe, Trans, grad); }
    // Curl = Gradient + rotation: H1 -> H(div)
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectGrad_RT(nk, dof2nk, fe, Trans, curl); }
 
-   virtual void GetFaceMap(const int face_id, Array<int> &face_map) const;
+   void GetFaceMap(const int face_id, Array<int> &face_map) const override;
 
 protected:
    void ProjectIntegrated(VectorCoefficient &vc, ElementTransformation &Trans,
@@ -109,48 +110,49 @@ public:
                         const int cb_type = BasisType::GaussLobatto,
                         const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_RT(Trans, shape); }
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_RT(*this, nk, dof2nk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_RT(nk, dof2nk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_RT(CheckVectorFE(fe), nk, dof2nk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    {
       if (obasis1d.IsIntegratedType()) { ProjectIntegrated(vc, Trans, dofs); }
       else { Project_RT(nk, dof2nk, vc, Trans, dofs); }
    }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_RT(nk, dof2nk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_RT(nk, dof2nk, fe, Trans, I); }
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_RT(nk, dof2nk, fe, Trans, curl); }
 
    /// @brief Return the mapping from lexicographically ordered face DOFs to
    /// lexicographically ordered element DOFs corresponding to local face
    /// @a face_id.
-   virtual void GetFaceMap(const int face_id, Array<int> &face_map) const;
+   void GetFaceMap(const int face_id, Array<int> &face_map) const override;
 
 protected:
    void ProjectIntegrated(VectorCoefficient &vc,
@@ -176,45 +178,46 @@ class RT_TriangleElement : public VectorFiniteElement
 public:
    /// Construct the RT_TriangleElement of order @a p
    RT_TriangleElement(const int p);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_RT(Trans, shape); }
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_RT(*this, nk, dof2nk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_RT(nk, dof2nk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_RT(CheckVectorFE(fe), nk, dof2nk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_RT(nk, dof2nk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_RT(nk, dof2nk, fe, Trans, I); }
    // Gradient + rotation = Curl: H1 -> H(div)
-   virtual void ProjectGrad(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &grad) const
+   void ProjectGrad(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &grad) const override
    { ProjectGrad_RT(nk, dof2nk, fe, Trans, grad); }
    // Curl = Gradient + rotation: H1 -> H(div)
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectGrad_RT(nk, dof2nk, fe, Trans, curl); }
 };
 
@@ -236,39 +239,40 @@ class RT_TetrahedronElement : public VectorFiniteElement
 public:
    /// Construct the RT_TetrahedronElement of order @a p
    RT_TetrahedronElement(const int p);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_RT(Trans, shape); }
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_RT(*this, nk, dof2nk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_RT(nk, dof2nk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_RT(CheckVectorFE(fe), nk, dof2nk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
-                                 Vector &dofs) const
+   void ProjectFromNodes(Vector &vc, ElementTransformation &Trans,
+                         Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_RT(nk, dof2nk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_RT(nk, dof2nk, fe, Trans, I); }
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_RT(nk, dof2nk, fe, Trans, curl); }
 };
 
@@ -296,36 +300,37 @@ class RT_WedgeElement : public VectorFiniteElement
 
 public:
    RT_WedgeElement(const int p);
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override
    { CalcVShape_RT(Trans, shape); }
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation_RT(*this, nk, dof2nk, Trans, I); }
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { LocalRestriction_RT(nk, dof2nk, Trans, R); }
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation_RT(CheckVectorFE(fe), nk, dof2nk, Trans, I); }
    using FiniteElement::Project;
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override
    { Project_RT(nk, dof2nk, vc, Trans, dofs); }
-   virtual void ProjectMatrixCoefficient(
-      MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
+   void ProjectMatrixCoefficient(MatrixCoefficient &mc,
+                                 ElementTransformation &T,
+                                 Vector &dofs) const override
    { ProjectMatrixCoefficient_RT(nk, dof2nk, mc, T, dofs); }
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override
    { Project_RT(nk, dof2nk, fe, Trans, I); }
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override
    { ProjectCurl_RT(nk, dof2nk, fe, Trans, curl); }
 };
 
@@ -353,27 +358,27 @@ public:
                          const int cb_type = BasisType::GaussLobatto,
                          const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void Project(const FiniteElement &fe,
-                        ElementTransformation &Trans,
-                        DenseMatrix &I) const;
+   void Project(const FiniteElement &fe,
+                ElementTransformation &Trans,
+                DenseMatrix &I) const override;
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const;
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override;
 };
 
 
@@ -401,26 +406,26 @@ public:
    RT_R2D_SegmentElement(const int p,
                          const int ob_type = BasisType::GaussLegendre);
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &div_shape) const;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &div_shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation(*this, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override
    { MFEM_ABORT("method is not overloaded"); }
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation(CheckVectorFE(fe), Trans, I); }
 };
 
@@ -440,32 +445,32 @@ private:
 public:
    using FiniteElement::CalcVShape;
 
-   virtual void CalcVShape(ElementTransformation &Trans,
-                           DenseMatrix &shape) const;
+   void CalcVShape(ElementTransformation &Trans,
+                   DenseMatrix &shape) const override;
 
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override
    { LocalInterpolation(*this, Trans, I); }
 
-   virtual void GetLocalRestriction(ElementTransformation &Trans,
-                                    DenseMatrix &R) const;
+   void GetLocalRestriction(ElementTransformation &Trans,
+                            DenseMatrix &R) const override;
 
-   virtual void GetTransferMatrix(const FiniteElement &fe,
-                                  ElementTransformation &Trans,
-                                  DenseMatrix &I) const
+   void GetTransferMatrix(const FiniteElement &fe,
+                          ElementTransformation &Trans,
+                          DenseMatrix &I) const override
    { LocalInterpolation(CheckVectorFE(fe), Trans, I); }
 
    using FiniteElement::Project;
 
-   virtual void Project(VectorCoefficient &vc,
-                        ElementTransformation &Trans, Vector &dofs) const;
+   void Project(VectorCoefficient &vc,
+                ElementTransformation &Trans, Vector &dofs) const override;
 
-   virtual void Project(const FiniteElement &fe, ElementTransformation &Trans,
-                        DenseMatrix &I) const;
+   void Project(const FiniteElement &fe, ElementTransformation &Trans,
+                DenseMatrix &I) const override;
 
-   virtual void ProjectCurl(const FiniteElement &fe,
-                            ElementTransformation &Trans,
-                            DenseMatrix &curl) const;
+   void ProjectCurl(const FiniteElement &fe,
+                    ElementTransformation &Trans,
+                    DenseMatrix &curl) const override;
 };
 
 /// Arbitrary order Raviart-Thomas 3D elements in 2D on a triangle
@@ -489,11 +494,11 @@ public:
 
    using RT_R2D_FiniteElement::CalcVShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
 
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
 };
 
 /// Arbitrary order Raviart-Thomas 3D elements in 2D on a square
@@ -518,10 +523,10 @@ public:
 
    using RT_R2D_FiniteElement::CalcVShape;
 
-   virtual void CalcVShape(const IntegrationPoint &ip,
-                           DenseMatrix &shape) const;
-   virtual void CalcDivShape(const IntegrationPoint &ip,
-                             Vector &divshape) const;
+   void CalcVShape(const IntegrationPoint &ip,
+                   DenseMatrix &shape) const override;
+   void CalcDivShape(const IntegrationPoint &ip,
+                     Vector &divshape) const override;
 };
 
 

fem/fe/fe_ser.hpp

@@ -23,11 +23,11 @@ class H1Ser_QuadrilateralElement : public ScalarFiniteElement
 public:
    /// Construct the H1Ser_QuadrilateralElement of order @a p
    H1Ser_QuadrilateralElement(const int p);
-   virtual void CalcShape(const IntegrationPoint &ip, Vector &shape) const;
-   virtual void CalcDShape(const IntegrationPoint &ip,
-                           DenseMatrix &dshape) const;
-   virtual void GetLocalInterpolation(ElementTransformation &Trans,
-                                      DenseMatrix &I) const;
+   void CalcShape(const IntegrationPoint &ip, Vector &shape) const override;
+   void CalcDShape(const IntegrationPoint &ip,
+                   DenseMatrix &dshape) const override;
+   void GetLocalInterpolation(ElementTransformation &Trans,
+                              DenseMatrix &I) const override;
    using FiniteElement::Project;
 };
 

fem/fe_coll.hpp

@@ -757,7 +757,7 @@ public:
       order, or VariableOrder (default). */
    explicit NURBS_HDivFECollection(int Order = VariableOrder, const int vdim = -1);
 
-   virtual void Reset() const override
+   void Reset() const override
    {
       SegmentFE->Reset();
       QuadrilateralFE->Reset();
@@ -765,11 +765,11 @@ public:
       ParallelepipedVFE->Reset();
    }
 
-   virtual void SetDim(const int dim) override;
+   void SetDim(const int dim) override;
 
    /** @brief Set the order and the name, based on the given @a Order: either a
        positive number for fixed order, or VariableOrder. */
-   virtual void SetOrder(int Order) const override;
+   void SetOrder(int Order) const override;
 
    const FiniteElement *
    FiniteElementForGeometry(Geometry::Type GeomType) const override;
@@ -808,7 +808,7 @@ public:
    explicit NURBS_HCurlFECollection(int Order = VariableOrder,
                                     const int vdim = -1);
 
-   virtual void Reset() const override
+   void Reset() const override
    {
       SegmentFE->Reset();
       QuadrilateralFE->Reset();
@@ -816,11 +816,11 @@ public:
       ParallelepipedVFE->Reset();
    }
 
-   virtual void SetDim(const int dim) override;
+   void SetDim(const int dim) override;
 
    /** @brief Set the order and the name, based on the given @a Order: either a
        positive number for fixed order, or VariableOrder. */
-   virtual void SetOrder(int Order) const override;
+   void SetOrder(int Order) const override;
 
    const FiniteElement *
    FiniteElementForGeometry(Geometry::Type GeomType) const override;

fem/fespace.cpp

@@ -478,7 +478,7 @@ void FiniteElementSpace::ReorderElementToDofTable()
    }
 }
 
-void FiniteElementSpace::BuildDofToArrays()
+void FiniteElementSpace::BuildDofToArrays_() const
 {
    if (dof_elem_array.Size()) { return; }
 
@@ -503,6 +503,31 @@ void FiniteElementSpace::BuildDofToArrays()
    }
 }
 
+void FiniteElementSpace::BuildDofToBdrArrays() const
+{
+   if (dof_bdr_elem_array.Size()) { return; }
+
+   BuildBdrElementToDofTable();
+
+   dof_bdr_elem_array.SetSize (ndofs);
+   dof_bdr_ldof_array.SetSize (ndofs);
+   dof_bdr_elem_array = -1;
+   for (int i = 0; i < mesh -> GetNBE(); i++)
+   {
+      const int *dofs = bdr_elem_dof -> GetRow(i);
+      const int n = bdr_elem_dof -> RowSize(i);
+      for (int j = 0; j < n; j++)
+      {
+         int dof = DecodeDof(dofs[j]);
+         if (dof_bdr_elem_array[dof] < 0)
+         {
+            dof_bdr_elem_array[dof] = i;
+            dof_bdr_ldof_array[dof] = j;
+         }
+      }
+   }
+}
+
 void MarkDofs(const Array<int> &dofs, Array<int> &mark_array)
 {
    for (auto d : dofs)
@@ -3496,6 +3521,8 @@ void FiniteElementSpace::Destroy()
 
    dof_elem_array.DeleteAll();
    dof_ldof_array.DeleteAll();
+   dof_bdr_elem_array.DeleteAll();
+   dof_bdr_ldof_array.DeleteAll();
 
    for (int i = 0; i < VNURBSext.Size(); i++)
    {

fem/fespace.hpp

@@ -265,7 +265,10 @@ protected:
    mutable Table *bdr_elem_fos; // bdr face orientations by bdr element index
    mutable Table *face_dof; // owned; in var-order space contains variant 0 DOFs
 
-   Array<int> dof_elem_array, dof_ldof_array;
+   mutable Array<int> dof_elem_array;
+   mutable Array<int> dof_ldof_array;
+   mutable Array<int> dof_bdr_elem_array;
+   mutable Array<int> dof_bdr_ldof_array;
 
    NURBSExtension *NURBSext;
    /** array of NURBS extension for H(div) and H(curl) vector elements.
@@ -339,6 +342,14 @@ protected:
    void BuildBdrElementToDofTable() const;
    void BuildFaceToDofTable() const;
 
+   /** @brief Initialize internal data that enables the use of the methods
+    GetElementForDof() and GetLocalDofForDof(). */
+   void BuildDofToArrays_() const;
+
+   /** @brief Initialize internal data that enables the use of the methods
+      GetBdrElementForDof() and GetBdrLocalDofForDof(). */
+   void BuildDofToBdrArrays() const;
+
    /** @brief  Generates partial face_dof table for a NURBS space.
 
        The table is only defined for exterior faces that coincide with a
@@ -458,7 +469,7 @@ protected:
       DerefinementOperator(const FiniteElementSpace *f_fes,
                            const FiniteElementSpace *c_fes,
                            BilinearFormIntegrator *mass_integ);
-      virtual void Mult(const Vector &x, Vector &y) const;
+      void Mult(const Vector &x, Vector &y) const override;
       virtual ~DerefinementOperator();
    };
 
@@ -591,7 +602,8 @@ public:
    /// Returns true if the space contains elements of varying polynomial orders.
    bool IsVariableOrder() const { return elem_order.Size(); }
 
-   /// The returned SparseMatrix is owned by the FiniteElementSpace.
+   /// The returned SparseMatrix is owned by the FiniteElementSpace. The method
+   /// returns nullptr if the matrix is identity.
    const SparseMatrix *GetConformingProlongation() const;
 
    /// The returned SparseMatrix is owned by the FiniteElementSpace.
@@ -604,7 +616,8 @@ public:
    /// The returned SparseMatrix is owned by the FiniteElementSpace.
    const SparseMatrix *GetHpConformingRestriction() const;
 
-   /// The returned Operator is owned by the FiniteElementSpace.
+   /// The returned Operator is owned by the FiniteElementSpace. The method
+   /// returns nullptr if the prolongation matrix is identity.
    virtual const Operator *GetProlongationMatrix() const
    { return GetConformingProlongation(); }
 
@@ -655,7 +668,10 @@ public:
    const ElementRestrictionOperator *GetElementRestriction(
       ElementDofOrdering e_ordering) const;
 
-   /// Return an Operator that converts L-vectors to E-vectors on each face.
+   /** @brief Return an Operator that converts L-vectors to E-vectors on each
+       face. */
+   /** @warning only meshes with tensor-product elements are currently
+       supported. */
    virtual const FaceRestriction *GetFaceRestriction(
       ElementDofOrdering f_ordering, FaceType,
       L2FaceValues mul = L2FaceValues::DoubleValued) const;
@@ -1160,18 +1176,21 @@ public:
    const Table &GetFaceToDofTable() const
    { if (!face_dof) { BuildFaceToDofTable(); } return *face_dof; }
 
-   /** @brief Initialize internal data that enables the use of the methods
-       GetElementForDof() and GetLocalDofForDof(). */
-   void BuildDofToArrays();
+   /// Deprecated. This function is not required to be called by the user.
+   MFEM_DEPRECATED void BuildDofToArrays() const { BuildDofToArrays_(); }
+
+   /// Return the index of the first element that contains ldof index @a i.
+   int GetElementForDof(int i) const { BuildDofToArrays_(); return dof_elem_array[i]; }
+
+   /// Return the dof index within the element from GetElementForDof() for ldof index @a i.
+   int GetLocalDofForDof(int i) const { BuildDofToArrays_(); return dof_ldof_array[i]; }
+
+   /// Return the index of the first boundary element that contains ldof index @a i.
+   int GetBdrElementForDof(int i) const { BuildDofToBdrArrays(); return dof_bdr_elem_array[i]; }
+
+   /// Return the dof index within the boundary element from GetBdrElementForDof() for ldof index @a i.
+   int GetBdrLocalDofForDof(int i) const { BuildDofToBdrArrays(); return dof_bdr_ldof_array[i]; }
 
-   /// Return the index of the first element that contains dof @a i.
-   /** This method can be called only after setup is performed using the method
-       BuildDofToArrays(). */
-   int GetElementForDof(int i) const { return dof_elem_array[i]; }
-   /// Return the local dof index in the first element that contains dof @a i.
-   /** This method can be called only after setup is performed using the method
-       BuildDofToArrays(). */
-   int GetLocalDofForDof(int i) const { return dof_ldof_array[i]; }
 
    /** @brief Returns pointer to the FiniteElement in the FiniteElementCollection
         associated with i'th element in the mesh object.

fem/fmsdatacollection.hpp

@@ -61,10 +61,10 @@ public:
    void SetProtocol(const std::string &protocol);
 
    /// Save the collection and a FMS blueprint root file
-   virtual void Save();
+   void Save() override;
 
    /// Load the collection based blueprint data
-   virtual void Load(int cycle = 0);
+   void Load(int cycle = 0) override;
 };
 
 } // namespace mfem

fem/gridfunc.cpp

@@ -2435,8 +2435,6 @@ void GridFunction::ProjectCoefficient(
    ElementTransformation *T = NULL;
    const FiniteElement *fe = NULL;
 
-   fes->BuildDofToArrays(); // ensures GetElementForDof(), GetLocalDofForDof() initialized.
-
    for (int i = 0; i < dofs.Size(); i++)
    {
       int dof = dofs[i], j = fes->GetElementForDof(dof);
@@ -2516,8 +2514,6 @@ void GridFunction::ProjectCoefficient(
 
    Vector val;
 
-   fes->BuildDofToArrays(); // ensures GetElementForDof(), GetLocalDofForDof() initialized.
-
    for (int i = 0; i < dofs.Size(); i++)
    {
       int dof = dofs[i], j = fes->GetElementForDof(dof);
@@ -4581,6 +4577,11 @@ GridFunction *Extrude1DGridFunction(Mesh *mesh, Mesh *mesh2d,
    {
       solfec2d = new L2_FECollection(atoi(name + 7), 2);
    }
+   else if (!strncmp(name, "L2Int_", 6))
+   {
+      solfec2d = new L2_FECollection(atoi(name + 7), 2, BasisType::GaussLegendre,
+                                     FiniteElement::INTEGRAL);
+   }
    else
    {
       mfem::err << "Extrude1DGridFunction : unknown FE collection : "

fem/gridfunc.hpp

@@ -876,7 +876,7 @@ private:
 public:
    ExtrudeCoefficient(Mesh *m, Coefficient &s, int n_)
       : n(n_), mesh_in(m), sol_in(s) { }
-   virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
+   real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
    virtual ~ExtrudeCoefficient() { }
 };
 

fem/hybridization.cpp

@@ -29,8 +29,8 @@ namespace mfem
 
 Hybridization::Hybridization(FiniteElementSpace *fespace,
                              FiniteElementSpace *c_fespace)
-   : fes(fespace), c_fes(c_fespace), c_bfi(NULL), Ct(NULL), H(NULL),
-     Af_data(NULL), Af_ipiv(NULL)
+   : fes(fespace), c_fes(c_fespace), c_bfi(NULL), extern_bdr_constr_integs(0),
+     Ct(NULL), H(NULL), Af_data(NULL), Af_ipiv(NULL)
 {
 #ifdef MFEM_USE_MPI
    pC = P_pc = NULL;
@@ -49,6 +49,11 @@ Hybridization::~Hybridization()
    delete H;
    delete Ct;
    delete c_bfi;
+   if (!extern_bdr_constr_integs)
+   {
+      for (int k=0; k < boundary_constraint_integs.Size(); k++)
+      { delete boundary_constraint_integs[k]; }
+   }
 }
 
 void Hybridization::ConstructC()
@@ -57,6 +62,15 @@ void Hybridization::ConstructC()
    int num_hat_dofs = hat_offsets[NE];
    Array<int> vdofs, c_vdofs;
 
+#if defined(MFEM_USE_DOUBLE)
+   constexpr real_t mtol = 1e-12;
+#elif defined(MFEM_USE_SINGLE)
+   constexpr real_t mtol = 4e-6;
+#else
+#error "Only single and double precision are supported!"
+   constexpr real_t mtol = 1.;
+#endif
+
    int c_num_face_nbr_dofs = 0;
 #ifdef MFEM_USE_MPI
    ParFiniteElementSpace *c_pfes = dynamic_cast<ParFiniteElementSpace*>(c_fes);
@@ -125,9 +139,73 @@ void Hybridization::ConstructC()
                                    *fes->GetFE(FTr->Elem2No),
                                    *FTr, elmat);
          // zero-out small elements in elmat
-         elmat.Threshold(1e-12 * elmat.MaxMaxNorm());
+         elmat.Threshold(mtol * elmat.MaxMaxNorm());
          Ct->AddSubMatrix(vdofs, c_vdofs, elmat, skip_zeros);
       }
+
+      if (boundary_constraint_integs.Size())
+      {
+         const FiniteElement *fe1, *fe2;
+         const FiniteElement *face_el;
+
+         // Which boundary attributes need to be processed?
+         Array<int> bdr_attr_marker(mesh->bdr_attributes.Size() ?
+                                    mesh->bdr_attributes.Max() : 0);
+         bdr_attr_marker = 0;
+         for (int k = 0; k < boundary_constraint_integs.Size(); k++)
+         {
+            if (boundary_constraint_integs_marker[k] == NULL)
+            {
+               bdr_attr_marker = 1;
+               break;
+            }
+            Array<int> &bdr_marker = *boundary_constraint_integs_marker[k];
+            MFEM_ASSERT(bdr_marker.Size() == bdr_attr_marker.Size(),
+                        "invalid boundary marker for boundary face integrator #"
+                        << k << ", counting from zero");
+            for (int i = 0; i < bdr_attr_marker.Size(); i++)
+            {
+               bdr_attr_marker[i] |= bdr_marker[i];
+            }
+         }
+
+         for (int i = 0; i < fes->GetNBE(); i++)
+         {
+            const int bdr_attr = mesh->GetBdrAttribute(i);
+            if (bdr_attr_marker[bdr_attr-1] == 0) { continue; }
+
+            FTr = mesh->GetBdrFaceTransformations(i);
+            if (!FTr) { continue; }
+
+            int o1 = hat_offsets[FTr->Elem1No];
+            int s1 = hat_offsets[FTr->Elem1No+1] - o1;
+
+            vdofs.SetSize(s1);
+            for (int j = 0; j < s1; j++)
+            {
+               vdofs[j] = o1 + j;
+            }
+            int iface = mesh->GetBdrElementFaceIndex(i);
+            c_fes->GetFaceVDofs(iface, c_vdofs);
+            face_el = c_fes->GetFaceElement(iface);
+            fe1 = fes -> GetFE (FTr -> Elem1No);
+            // The fe2 object is really a dummy and not used on the boundaries,
+            // but we can't dereference a NULL pointer, and we don't want to
+            // actually make a fake element.
+            fe2 = fe1;
+            for (int k = 0; k < boundary_constraint_integs.Size(); k++)
+            {
+               if (boundary_constraint_integs_marker[k] &&
+                   (*boundary_constraint_integs_marker[k])[bdr_attr-1] == 0) { continue; }
+
+               boundary_constraint_integs[k]->AssembleFaceMatrix(*face_el, *fe1, *fe2, *FTr,
+                                                                 elmat);
+               // zero-out small elements in elmat
+               elmat.Threshold(mtol * elmat.MaxMaxNorm());
+               Ct->AddSubMatrix(vdofs, c_vdofs, elmat, skip_zeros);
+            }
+         }
+      }
 #ifdef MFEM_USE_MPI
       if (pmesh)
       {
@@ -167,7 +245,7 @@ void Hybridization::ConstructC()
             fe = fes->GetFE(FTr->Elem1No);
             c_bfi->AssembleFaceMatrix(*face_fe, *fe, *fe, *FTr, elmat);
             // zero-out small elements in elmat
-            elmat.Threshold(1e-12 * elmat.MaxMaxNorm());
+            elmat.Threshold(mtol * elmat.MaxMaxNorm());
             Ct->AddSubMatrix(vdofs, c_vdofs, elmat, skip_zeros);
          }
          if (glob_num_shared_slave_faces)

fem/hybridization.hpp

@@ -64,6 +64,12 @@ protected:
    FiniteElementSpace *fes, *c_fes;
    BilinearFormIntegrator *c_bfi;
 
+   /// Set of constraint boundary face integrators to be applied.
+   Array<BilinearFormIntegrator*> boundary_constraint_integs;
+   Array<Array<int>*>             boundary_constraint_integs_marker;
+   /// Indicates if the boundary_constraint_integs integrators are owned externally
+   bool extern_bdr_constr_integs;
+
    SparseMatrix *Ct, *H;
 
    Array<int> hat_offsets, hat_dofs_marker;
@@ -106,6 +112,33 @@ public:
    void SetConstraintIntegrator(BilinearFormIntegrator *c_integ)
    { delete c_bfi; c_bfi = c_integ; }
 
+   /** Add the boundary face integrator that will be used to construct the
+       constraint matrix C. The Hybridization object assumes ownership of the
+       integrator, i.e. it will delete the integrator when destroyed. */
+   void AddBdrConstraintIntegrator(BilinearFormIntegrator *c_integ)
+   {
+      boundary_constraint_integs.Append(c_integ);
+      boundary_constraint_integs_marker.Append(
+         NULL); // NULL marker means apply everywhere
+   }
+   void AddBdrConstraintIntegrator(BilinearFormIntegrator *c_integ,
+                                   Array<int> &bdr_marker)
+   {
+      boundary_constraint_integs.Append(c_integ);
+      boundary_constraint_integs_marker.Append(&bdr_marker);
+   }
+
+   /// Access all integrators added with AddBdrConstraintIntegrator().
+   Array<BilinearFormIntegrator*> *GetBCBFI() { return &boundary_constraint_integs; }
+
+   /// Access all boundary markers added with AddBdrConstraintIntegrator().
+   /** If no marker was specified when the integrator was added, the
+       corresponding pointer (to Array<int>) will be NULL. */
+   Array<Array<int>*> *GetBCBFI_Marker() { return &boundary_constraint_integs_marker; }
+
+   /// Indicate that boundary constraint integrators are not owned
+   void UseExternalBdrConstraintIntegrators() { extern_bdr_constr_integs = true; }
+
    /// Prepare the Hybridization object for assembly.
    void Init(const Array<int> &ess_tdof_list);
 

fem/integ/bilininteg_diffusion_kernels.cpp

@@ -388,9 +388,7 @@ void OccaPADiffusionSetup3D(const int D1D,
    }
    OccaDiffSetup3D_ker.at(id)(NE, o_W, o_J, o_C, o_op, const_c);
 }
-#endif // MFEM_USE_OCCA
 
-#ifdef MFEM_USE_OCCA
 void OccaPADiffusionApply2D(const int D1D,
                             const int Q1D,
                             const int NE,

fem/integ/bilininteg_diffusion_pa.cpp

@@ -56,12 +56,12 @@ void DiffusionIntegrator::AddMultPA(const Vector &x, Vector &y) const
       {
          if (dim == 2)
          {
-            OccaPADiffusionApply2D(dofs1D,quad1D,ne,B,G,Bt,Gt,Dv,x,y);
+            internal::OccaPADiffusionApply2D(dofs1D,quad1D,ne,B,G,Bt,Gt,Dv,x,y);
             return;
          }
          if (dim == 3)
          {
-            OccaPADiffusionApply3D(dofs1D,quad1D,ne,B,G,Bt,Gt,Dv,x,y);
+            internal::OccaPADiffusionApply3D(dofs1D,quad1D,ne,B,G,Bt,Gt,Dv,x,y);
             return;
          }
          MFEM_ABORT("OCCA PADiffusionApply unknown kernel!");

fem/integ/bilininteg_mass_pa.cpp

@@ -220,11 +220,11 @@ void MassIntegrator::AddMultPA(const Vector &x, Vector &y) const
       {
          if (dim == 2)
          {
-            return OccaPAMassApply2D(D1D,Q1D,ne,B,Bt,D,x,y);
+            return internal::OccaPAMassApply2D(D1D,Q1D,ne,B,Bt,D,x,y);
          }
          if (dim == 3)
          {
-            return OccaPAMassApply3D(D1D,Q1D,ne,B,Bt,D,x,y);
+            return internal::OccaPAMassApply3D(D1D,Q1D,ne,B,Bt,D,x,y);
          }
          MFEM_ABORT("OCCA PA Mass Apply unknown kernel!");
       }

fem/kdtree.hpp

@@ -160,16 +160,14 @@ public:
    /// bigger value. A node in the target grid function is matching
    /// a point with coordinates specified in the vector coords if the
    /// distance between them is smaller than lerr.
-   virtual
    void Project(const Vector& coords,const Vector& src,
-                int ordering=Ordering::byNODES, real_t lerr=1e-8);
+                int ordering=Ordering::byNODES, real_t lerr=1e-8) override;
 
    /// The project method can be called as many times as necessary with
    /// different grid functions gf. A node in the target grid function is
    /// matching a node from the source grid function if the distance
    /// between them is smaller than lerr.
-   virtual
-   void Project(const GridFunction& gf, real_t lerr=1e-8);
+   void Project(const GridFunction& gf, real_t lerr=1e-8) override;
 };
 
 } // namespace mfem

fem/kernel_dispatch.hpp

@@ -148,7 +148,7 @@ public:
       }
       else
       {
-         ReportFallback(Kernels::Get().kernel_name, params...);
+         KernelReporter::ReportFallback(Kernels::Get().kernel_name, params...);
          Kernels::Fallback(params...)(std::forward<Args>(args)...);
       }
    }

fem/kernel_reporter.hpp

@@ -12,10 +12,6 @@
 #ifndef MFEM_KERNEL_REPORTER_HPP
 #define MFEM_KERNEL_REPORTER_HPP
 
-#include "../config/config.hpp"
-
-#ifdef MFEM_REPORT_KERNELS
-
 #include "../general/globals.hpp"
 #include <set>
 #include <sstream>
@@ -29,7 +25,7 @@
 namespace mfem
 {
 
-namespace
+namespace internal
 {
 
 template <typename Last>
@@ -55,28 +51,52 @@ static std::string Stringify(Args&&... args)
 
 } // namespace
 
-template <typename... Params>
-void ReportFallback(const std::string &kernel_name, Params&&... params)
+/// @brief Singleton class to report fallback kernels.
+///
+/// Writes the first call to a fallback kernel to mfem::err
+///
+/// @note This class is only enabled when the environment variable
+/// MFEM_REPORT_KERNELS is set to a value other than 'NO' or if
+/// KernelReporter::Enable() is called.
+class KernelReporter
 {
-   static std::set<std::string> reported_fallbacks;
-   const std::string requested_kernel =
-      kernel_name + "<" + Stringify(params...) + ">";
-   if (reported_fallbacks.find(requested_kernel) == reported_fallbacks.end())
+   bool enabled = false;
+   std::set<std::string> reported_fallbacks;
+   KernelReporter()
    {
-      reported_fallbacks.insert(requested_kernel);
-      mfem::err << "Fallback kernel. Requested "
-                << requested_kernel << std::endl;
+      const char *env = getenv("MFEM_REPORT_KERNELS");
+      if (env)
+      {
+         if (std::string(env) != "NO") { enabled = true; }
+      }
    }
-}
+   static KernelReporter &Instance()
+   {
+      static KernelReporter instance;
+      return instance;
+   }
+public:
+   /// Enable reporting of fallback kernels.
+   static void Enable() { Instance().enabled = true; }
+   /// Disable reporting of fallback kernels.
+   static void Disable() { Instance().enabled = false; }
+   /// Report the fallback kernel with given parameters.
+   template <typename... Params>
+   static void ReportFallback(const std::string &kernel_name, Params&&... params)
+   {
+      if (!Instance().enabled) { return; }
+      auto &reported_fallbacks = Instance().reported_fallbacks;
+      const std::string requested_kernel =
+         kernel_name + "<" + internal::Stringify(params...) + ">";
+      if (reported_fallbacks.find(requested_kernel) == reported_fallbacks.end())
+      {
+         reported_fallbacks.insert(requested_kernel);
+         mfem::err << "Fallback kernel. Requested "
+                   << requested_kernel << std::endl;
+      }
+   }
+};
 
 } // namespace mfem
 
-#else // #ifdef MFEM_REPORT_KERNELS
-
-// No-op
-#define MFEM_KERNEL_NAME(KernelName) ""
-template <typename... T> void ReportFallback(T&&...) { }
-
-#endif
-
 #endif

fem/lininteg.cpp

@@ -651,6 +651,39 @@ void VectorFEBoundaryFluxLFIntegrator::AssembleRHSElementVect(
    }
 }
 
+void VectorFEBoundaryNormalLFIntegrator::AssembleRHSElementVect(
+   const FiniteElement &el, ElementTransformation &Tr, Vector &elvect)
+{
+   int dim = el.GetDim()+1;
+   int dof = el.GetDof();
+   Vector nor(dim), Fvec(dim);
+
+   shape.SetSize(dof);
+   elvect.SetSize(dof);
+   elvect = 0.0;
+
+   const IntegrationRule *ir = IntRule;
+   if (ir == NULL)
+   {
+      int intorder = 2 * el.GetOrder() + Tr.OrderW();  // <----------
+      ir = &IntRules.Get(el.GetGeomType(), intorder);
+   }
+
+   for (int i = 0; i < ir->GetNPoints(); i++)
+   {
+      const IntegrationPoint &ip = ir->IntPoint(i);
+
+      Tr.SetIntPoint(&ip);
+      CalcOrtho(Tr.Jacobian(), nor);
+      F.Eval(Fvec, Tr, ip);
+      real_t val = ip.weight * (Fvec*nor) / Tr.Weight();
+
+      el.CalcShape(ip, shape);
+
+      elvect.Add(val, shape);
+   }
+}
+
 void VectorFEBoundaryTangentLFIntegrator::AssembleRHSElementVect(
    const FiniteElement &el, ElementTransformation &Tr, Vector &elvect)
 {

fem/lininteg.hpp

@@ -121,22 +121,22 @@ public:
    DomainLFIntegrator(Coefficient &QF, const IntegrationRule *ir)
       : DeltaLFIntegrator(QF, ir), Q(QF), oa(1), ob(1) { }
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    /** Given a particular Finite Element and a transformation (Tr)
        computes the element right hand side element vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -154,22 +154,22 @@ public:
    DomainLFGradIntegrator(VectorCoefficient &QF)
       : DeltaLFIntegrator(QF), Q(QF) { }
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    /** Given a particular Finite Element and a transformation (Tr)
        computes the element right hand side element vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -187,21 +187,21 @@ public:
    BoundaryLFIntegrator(Coefficient &QG, int a = 1, int b = 1)
       : Q(QG), oa(a), ob(b) { }
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    /** Given a particular boundary Finite Element and a transformation (Tr)
        computes the element boundary vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       FaceElementTransformations &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               FaceElementTransformations &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -217,16 +217,16 @@ public:
    BoundaryNormalLFIntegrator(VectorCoefficient &QG, int a = 1, int b = 1)
       : Q(QG), oa(a), ob(b) { }
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -242,9 +242,9 @@ public:
    BoundaryTangentialLFIntegrator(VectorCoefficient &QG, int a = 1, int b = 1)
       : Q(QG), oa(a), ob(b) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -262,22 +262,22 @@ public:
    VectorDomainLFIntegrator(VectorCoefficient &QF)
       : DeltaLFIntegrator(QF), Q(QF) { }
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    /** Given a particular Finite Element and a transformation (Tr)
        computes the element right hand side element vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -296,22 +296,22 @@ public:
    VectorDomainLFGradIntegrator(VectorCoefficient &QF)
       : DeltaLFIntegrator(QF), Q(QF) { }
 
-   virtual bool SupportsDevice() const override { return true; }
+   bool SupportsDevice() const override { return true; }
 
    /// Method defining assembly on device
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b) override;
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    /** Given a particular Finite Element and a transformation (Tr)
        computes the element right hand side element vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect) override;
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect) override;
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -330,14 +330,14 @@ public:
 
    /** Given a particular boundary Finite Element and a transformation (Tr)
        computes the element boundary vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    // For DG spaces
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       FaceElementTransformations &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               FaceElementTransformations &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -354,19 +354,19 @@ public:
    VectorFEDomainLFIntegrator(VectorCoefficient &F)
       : DeltaLFIntegrator(F), QF(F) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -384,13 +384,13 @@ public:
    VectorFEDomainLFCurlIntegrator(VectorCoefficient &F)
       : DeltaLFIntegrator(F), QF(&F) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -408,13 +408,13 @@ public:
 
    /** Given a particular Finite Element and a transformation (Tr)
        computes the element right hand side element vector, elvect. */
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void AssembleDeltaElementVect(const FiniteElement &fe,
-                                         ElementTransformation &Trans,
-                                         Vector &elvect);
+   void AssembleDeltaElementVect(const FiniteElement &fe,
+                                 ElementTransformation &Trans,
+                                 Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -434,9 +434,9 @@ public:
                                   const IntegrationRule *ir = NULL)
       : LinearFormIntegrator(ir), Sign(s), F(&f) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -457,17 +457,36 @@ public:
    VectorFEBoundaryFluxLFIntegrator(Coefficient &f, int a = 2, int b = 0)
       : F(&f), oa(a), ob(b) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 
-   virtual bool SupportsDevice() const { return true; }
+   bool SupportsDevice() const override { return true; }
 
-   virtual void AssembleDevice(const FiniteElementSpace &fes,
-                               const Array<int> &markers,
-                               Vector &b);
+   void AssembleDevice(const FiniteElementSpace &fes,
+                       const Array<int> &markers,
+                       Vector &b) override;
+};
+
+/** Class for boundary integration of (f.n, v.n) for vector coefficient f and
+    RT vector test function v. This integrator works with RT spaces defined
+    using the RT_FECollection class. */
+class VectorFEBoundaryNormalLFIntegrator : public LinearFormIntegrator
+{
+private:
+   VectorCoefficient &F;
+   Vector shape;
+
+public:
+   VectorFEBoundaryNormalLFIntegrator(VectorCoefficient &f) : F(f) { }
+
+   virtual void AssembleRHSElementVect(const FiniteElement &el,
+                                       ElementTransformation &Tr,
+                                       Vector &elvect) override;
+
+   using LinearFormIntegrator::AssembleRHSElementVect;
 };
 
 /// Class for boundary integration $ L(v) = (n \times f, v) $
@@ -482,9 +501,9 @@ public:
                                        int a = 2, int b = 0)
       : f(QG), oa(a), ob(b) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -512,12 +531,12 @@ public:
                           real_t a, real_t b)
    { f = &f_; u = &u_; alpha = a; beta = b; }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       FaceElementTransformations &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               FaceElementTransformations &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -554,12 +573,12 @@ public:
                            const real_t s, const real_t k)
       : uD(&u), Q(NULL), MQ(&q), sigma(s), kappa(k) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       FaceElementTransformations &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               FaceElementTransformations &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -599,12 +618,12 @@ public:
                                      real_t alpha_, real_t kappa_)
       : uD(uD_), lambda(&lambda_), mu(&mu_), alpha(alpha_), kappa(kappa_) { }
 
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       FaceElementTransformations &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               FaceElementTransformations &Tr,
+                               Vector &elvect) override;
 
    using LinearFormIntegrator::AssembleRHSElementVect;
 };
@@ -676,9 +695,9 @@ public:
    }
 
    using LinearFormIntegrator::AssembleRHSElementVect;
-   virtual void AssembleRHSElementVect(const FiniteElement &el,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &el,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
    /** @brief Saves the lower triangular matrices in the element-wise Cholesky
        decomposition. The parameter @a NE should be the number of elements in
@@ -739,11 +758,11 @@ public:
    }
 
    using LinearFormIntegrator::AssembleRHSElementVect;
-   virtual void AssembleRHSElementVect(const FiniteElement &fe,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &fe,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void SetIntRule(const IntegrationRule *ir)
+   void SetIntRule(const IntegrationRule *ir) override
    {
       MFEM_WARNING("Integration rule not used in this class. "
                    "The QuadratureFunction integration rules are used instead");
@@ -771,11 +790,11 @@ public:
    }
 
    using LinearFormIntegrator::AssembleRHSElementVect;
-   virtual void AssembleRHSElementVect(const FiniteElement &fe,
-                                       ElementTransformation &Tr,
-                                       Vector &elvect);
+   void AssembleRHSElementVect(const FiniteElement &fe,
+                               ElementTransformation &Tr,
+                               Vector &elvect) override;
 
-   virtual void SetIntRule(const IntegrationRule *ir)
+   void SetIntRule(const IntegrationRule *ir) override
    {
       MFEM_WARNING("Integration rule not used in this class. "
                    "The QuadratureFunction integration rules are used instead");

fem/multigrid.hpp

@@ -106,12 +106,12 @@ public:
                      int postSmoothingSteps_);
 
    /// Application of the multigrid as a preconditioner
-   virtual void Mult(const Vector& x, Vector& y) const override;
-   virtual void ArrayMult(const Array<const Vector*>& X_,
-                          Array<Vector*>& Y_) const override;
+   void Mult(const Vector& x, Vector& y) const override;
+   void ArrayMult(const Array<const Vector*>& X_,
+                  Array<Vector*>& Y_) const override;
 
    /// Not supported for multigrid
-   virtual void SetOperator(const Operator& op) override
+   void SetOperator(const Operator& op) override
    {
       MFEM_ABORT("SetOperator is not supported in Multigrid!");
    }
@@ -155,7 +155,7 @@ public:
 
 private:
    /// Returns prolongation operator at given level
-   virtual const Operator* GetProlongationAtLevel(int level) const override
+   const Operator* GetProlongationAtLevel(int level) const override
    {
       return prolongations[level];
    }