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@@ -0,0 +1,61 @@
|
||||
# Configuration for probot-stale - https://github.com/probot/stale
|
||||
|
||||
# Number of days of inactivity before an Issue or Pull Request becomes stale
|
||||
daysUntilStale: 30
|
||||
|
||||
# Number of days of inactivity before an Issue or Pull Request with the stale
|
||||
# label is closed. Set to false to disable. If disabled, issues still need to
|
||||
# be closed manually, but will remain marked as stale.
|
||||
daysUntilClose: 7
|
||||
|
||||
# Only issues or pull requests with all of these labels are check if stale.
|
||||
# Defaults to `[]` (disabled)
|
||||
onlyLabels: []
|
||||
|
||||
# Issues or Pull Requests with these labels will never be considered stale. Set
|
||||
# to `[]` to disable
|
||||
exemptLabels:
|
||||
- bug
|
||||
- WIP
|
||||
- ready-for-review
|
||||
- in-review
|
||||
- in-next
|
||||
|
||||
# Set to true to ignore issues in a project (defaults to false)
|
||||
exemptProjects: false
|
||||
|
||||
# Set to true to ignore issues in a milestone (defaults to false)
|
||||
exemptMilestones: false
|
||||
|
||||
# Set to true to ignore issues with an assignee (defaults to false)
|
||||
exemptAssignees: false
|
||||
|
||||
# Label to use when marking an issue as stale
|
||||
staleLabel: stale
|
||||
|
||||
# Comment to post when marking an issue as stale. Set to `false` to disable
|
||||
markComment: >
|
||||
:warning: This issue or PR has been automatically marked as stale because it has not
|
||||
had any activity in the last month. *If no activity occurs in the next week, it will
|
||||
be automatically closed.* Thank you for your contributions.
|
||||
|
||||
# Comment to post when closing a stale issue. Set to `false` to disable
|
||||
closeComment: false
|
||||
|
||||
# Limit the number of actions per hour, from 1-30. Default is 30
|
||||
limitPerRun: 30
|
||||
|
||||
# Limit to only `issues` or `pulls`
|
||||
# only: issues
|
||||
|
||||
# Optionally, specify configuration settings that are specific to just 'issues' or 'pulls':
|
||||
# pulls:
|
||||
# daysUntilStale: 30
|
||||
# markComment: >
|
||||
# This pull request has been automatically marked as stale because it has not had
|
||||
# recent activity. It will be closed if no further activity occurs. Thank you
|
||||
# for your contributions.
|
||||
|
||||
# issues:
|
||||
# exemptLabels:
|
||||
# - confirmed
|
||||
@@ -33,7 +33,6 @@ env:
|
||||
HYPRE_ARCHIVE: v2.19.0.tar.gz
|
||||
HYPRE_TOP_DIR: hypre-2.19.0
|
||||
METIS_ARCHIVE: metis-4.0.3.tar.gz
|
||||
METIS_ARCHIVE_MAC: metis-4.0.3-mac.tgz
|
||||
METIS_TOP_DIR: metis-4.0.3
|
||||
MFEM_TOP_DIR: mfem
|
||||
|
||||
@@ -53,7 +52,6 @@ jobs:
|
||||
mpi: [seq, par]
|
||||
build-system: [make, cmake]
|
||||
hypre-target: [int32]
|
||||
precision: [fp64]
|
||||
exclude:
|
||||
- os: ubuntu-latest
|
||||
build-system: cmake
|
||||
@@ -77,8 +75,6 @@ jobs:
|
||||
- os: ubuntu-latest
|
||||
target: dbg
|
||||
config-opts: 'CPPFLAGS+=-Og'
|
||||
- os: macos-latest
|
||||
codecov: NO
|
||||
- os: windows-latest
|
||||
codecov: NO
|
||||
- os: windows-latest
|
||||
@@ -91,7 +87,6 @@ jobs:
|
||||
mpi: par
|
||||
build-system: cmake
|
||||
hypre-target: int32
|
||||
precision: fp64
|
||||
# This option can be set to pass additional configuration options to
|
||||
# the MFEM configuration command.
|
||||
# config-opts: '-DCMAKE_VERBOSE_MAKEFILE=ON'
|
||||
@@ -101,15 +96,7 @@ jobs:
|
||||
mpi: par
|
||||
build-system: make
|
||||
hypre-target: int64
|
||||
precision: fp64
|
||||
- os: ubuntu-latest
|
||||
target: opt
|
||||
codecov: NO
|
||||
mpi: par
|
||||
build-system: make
|
||||
hypre-target: int32
|
||||
precision: fp32
|
||||
name: ${{ matrix.os }}-${{ matrix.build-system }}-${{ matrix.target }}-${{ matrix.mpi }}-${{ matrix.hypre-target }}-${{ matrix.precision }}
|
||||
name: ${{ matrix.os }}-${{ matrix.build-system }}-${{ matrix.target }}-${{ matrix.mpi }}-${{ matrix.hypre-target }}
|
||||
|
||||
runs-on: ${{ matrix.os }}
|
||||
|
||||
@@ -139,17 +126,6 @@ jobs:
|
||||
# Fetch the complete history for codecov to access commits ID
|
||||
fetch-depth: 0
|
||||
|
||||
- name: Xcode version setup (MacOS)
|
||||
if: matrix.os == 'macos-latest'
|
||||
run: |
|
||||
XCODE_PATH="/Applications/Xcode_15.3.app"
|
||||
echo "> sudo xcode-select -s ${XCODE_PATH}"
|
||||
sudo xcode-select -s ${XCODE_PATH}
|
||||
echo "> g++ -v"
|
||||
g++ -v
|
||||
echo "> clang++ -v"
|
||||
clang++ -v
|
||||
|
||||
# Only get MPI if defined for the job.
|
||||
# TODO: It would be nice to have only one step, e.g. with a dedicated
|
||||
# action, but I (@adrienbernede) don't see how at the moment.
|
||||
@@ -193,27 +169,25 @@ jobs:
|
||||
uses: actions/cache@v4
|
||||
with:
|
||||
path: ${{ env.HYPRE_TOP_DIR }}
|
||||
key: ${{ runner.os }}-build-${{ env.HYPRE_TOP_DIR }}-${{ matrix.hypre-target }}-${{ matrix.precision }}-v2.5
|
||||
key: ${{ runner.os }}-build-${{ env.HYPRE_TOP_DIR }}-${{ matrix.hypre-target }}-v2.2
|
||||
|
||||
- name: get hypre
|
||||
if: matrix.mpi == 'par' && steps.hypre-cache.outputs.cache-hit != 'true' && matrix.os != 'windows-latest'
|
||||
uses: mfem/github-actions/build-hypre@v2.5
|
||||
uses: mfem/github-actions/build-hypre@v2.4
|
||||
with:
|
||||
archive: ${{ env.HYPRE_ARCHIVE }}
|
||||
dir: ${{ env.HYPRE_TOP_DIR }}
|
||||
target: ${{ matrix.hypre-target }}
|
||||
build-system: make
|
||||
precision: ${{ matrix.precision }}
|
||||
|
||||
- name: get hypre (Windows)
|
||||
if: matrix.mpi == 'par' && steps.hypre-cache.outputs.cache-hit != 'true' && matrix.os == 'windows-latest'
|
||||
uses: mfem/github-actions/build-hypre@v2.5
|
||||
uses: mfem/github-actions/build-hypre@v2.4
|
||||
with:
|
||||
archive: ${{ env.HYPRE_ARCHIVE }}
|
||||
dir: ${{ env.HYPRE_TOP_DIR }}
|
||||
target: ${{ matrix.hypre-target }}
|
||||
build-system: cmake
|
||||
precision: ${{ matrix.precision }}
|
||||
|
||||
# Get Metis through cache, or build it.
|
||||
# Install will only run on cache miss.
|
||||
@@ -223,13 +197,13 @@ jobs:
|
||||
uses: actions/cache@v4
|
||||
with:
|
||||
path: ${{ env.METIS_TOP_DIR }}
|
||||
key: ${{ runner.os }}-build-${{ env.METIS_TOP_DIR }}-v2.5
|
||||
key: ${{ runner.os }}-build-${{ env.METIS_TOP_DIR }}-v2.2
|
||||
|
||||
- name: install metis
|
||||
if: matrix.mpi == 'par' && matrix.os != 'windows-latest' && steps.metis-cache.outputs.cache-hit != 'true'
|
||||
uses: mfem/github-actions/build-metis@v2.5
|
||||
uses: mfem/github-actions/build-metis@v2.4
|
||||
with:
|
||||
archive: ${{ matrix.os != 'macos-latest' && env.METIS_ARCHIVE || env.METIS_ARCHIVE_MAC }}
|
||||
archive: ${{ env.METIS_ARCHIVE }}
|
||||
dir: ${{ env.METIS_TOP_DIR }}
|
||||
|
||||
- name: cache vcpkg (Windows)
|
||||
@@ -254,7 +228,7 @@ jobs:
|
||||
|
||||
# MFEM build and test
|
||||
- name: build
|
||||
uses: mfem/github-actions/build-mfem@v2.5
|
||||
uses: mfem/github-actions/build-mfem@v2.4
|
||||
env:
|
||||
VCPKG_DEFAULT_BINARY_CACHE: ${{ github.workspace }}/vcpkg_cache
|
||||
with:
|
||||
@@ -266,7 +240,6 @@ jobs:
|
||||
hypre-dir: ${{ env.HYPRE_TOP_DIR }}
|
||||
metis-dir: ${{ env.METIS_TOP_DIR }}
|
||||
mfem-dir: ${{ env.MFEM_TOP_DIR }}
|
||||
precision: ${{ matrix.precision }}
|
||||
config-options: ${{ matrix.config-opts }}
|
||||
library-only: ${{ matrix.target == 'dbg' && matrix.os != 'ubuntu-latest' }}
|
||||
|
||||
@@ -309,7 +282,7 @@ jobs:
|
||||
# Code coverage (process and upload reports)
|
||||
- name: codecov
|
||||
if: matrix.codecov == 'YES'
|
||||
uses: mfem/github-actions/upload-coverage@v2.5
|
||||
uses: mfem/github-actions/upload-coverage@v2.4
|
||||
with:
|
||||
name: ${{ matrix.os }}-${{ matrix.build-system }}-${{ matrix.target }}-${{ matrix.mpi }}-${{ matrix.hypre-target }}
|
||||
project_dir: ${{ env.MFEM_TOP_DIR }}
|
||||
|
||||
@@ -53,11 +53,11 @@ jobs:
|
||||
uses: actions/cache@v4
|
||||
with:
|
||||
path: ${{ env.HYPRE_TOP_DIR }}
|
||||
key: ${{ runner.os }}-build-${{ env.HYPRE_TOP_DIR }}-v2.5
|
||||
key: ${{ runner.os }}-build-${{ env.HYPRE_TOP_DIR }}-v2.2
|
||||
|
||||
- name: Get Hypre
|
||||
if: steps.hypre-cache.outputs.cache-hit != 'true'
|
||||
uses: mfem/github-actions/build-hypre@v2.5
|
||||
uses: mfem/github-actions/build-hypre@v2.4
|
||||
with:
|
||||
archive: ${{ env.HYPRE_ARCHIVE }}
|
||||
dir: ${{ env.HYPRE_TOP_DIR }}
|
||||
@@ -68,18 +68,18 @@ jobs:
|
||||
uses: actions/cache@v4
|
||||
with:
|
||||
path: ${{ env.METIS_TOP_DIR }}
|
||||
key: ${{ runner.os }}-build-${{ env.METIS_TOP_DIR }}-v2.5
|
||||
key: ${{ runner.os }}-build-${{ env.METIS_TOP_DIR }}-v2.2
|
||||
|
||||
- name: Install Metis
|
||||
if: steps.metis-cache.outputs.cache-hit != 'true'
|
||||
uses: mfem/github-actions/build-metis@v2.5
|
||||
uses: mfem/github-actions/build-metis@v2.4
|
||||
with:
|
||||
archive: ${{ env.METIS_ARCHIVE }}
|
||||
dir: ${{ env.METIS_TOP_DIR }}
|
||||
|
||||
# MFEM build and test
|
||||
- name: build-mfem
|
||||
uses: mfem/github-actions/build-mfem@v2.5
|
||||
uses: mfem/github-actions/build-mfem@v2.4
|
||||
with:
|
||||
os: ${{ runner.os }}
|
||||
target: opt
|
||||
|
||||
@@ -44,7 +44,7 @@ jobs:
|
||||
path: mfem
|
||||
|
||||
- name: MFEM Build
|
||||
uses: mfem/github-actions/build-mfem@v2.5
|
||||
uses: mfem/github-actions/build-mfem@v2.4
|
||||
with:
|
||||
os: ${{ runner.os }}
|
||||
target: opt
|
||||
|
||||
@@ -1,31 +0,0 @@
|
||||
# This workflow warns and then closes issues and PRs that have had no activity for a specified amount of time.
|
||||
# For more information, see: https://github.com/actions/stale
|
||||
name: Mark stale issues and pull requests
|
||||
|
||||
on:
|
||||
workflow_dispatch:
|
||||
schedule:
|
||||
- cron: '0 0 * * *'
|
||||
|
||||
jobs:
|
||||
stale:
|
||||
|
||||
runs-on: ubuntu-latest
|
||||
permissions:
|
||||
issues: write
|
||||
pull-requests: write
|
||||
actions: write
|
||||
|
||||
steps:
|
||||
- uses: actions/stale@v9
|
||||
with:
|
||||
repo-token: ${{ secrets.GITHUB_TOKEN }}
|
||||
stale-issue-message: ':warning: This issue has been automatically marked as stale because it has not had any activity in the last month. *If no activity occurs in the next week, it will be automatically closed.* Thank you for your contributions.'
|
||||
stale-pr-message: ':warning: This PR has been automatically marked as stale because it has not had any activity in the last month. *If no activity occurs in the next week, it will be automatically closed.* Thank you for your contributions.'
|
||||
days-before-stale: 30
|
||||
days-before-close: 7
|
||||
stale-issue-label: 'stale'
|
||||
stale-pr-label: 'stale'
|
||||
operations-per-run: 500
|
||||
exempt-issue-labels: "bug,WIP,ready-for-review,in-review,in-next"
|
||||
exempt-pr-labels: "bug,WIP,ready-for-review,in-review,in-next"
|
||||
@@ -1,31 +0,0 @@
|
||||
# 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"}}'
|
||||
+1
-19
@@ -15,9 +15,6 @@
|
||||
CMakeCache.txt
|
||||
CMakeFiles/
|
||||
|
||||
# Clangd server cache
|
||||
*.cache*
|
||||
|
||||
# Backup files
|
||||
*~
|
||||
|
||||
@@ -60,8 +57,6 @@ examples/ex2[0-9]
|
||||
examples/ex2[0-9]p
|
||||
examples/ex3[0-9]
|
||||
examples/ex3[0-9]p
|
||||
examples/ex4[0-9]
|
||||
examples/ex4[0-9]p
|
||||
|
||||
examples/refined.mesh
|
||||
examples/displaced.mesh
|
||||
@@ -237,7 +232,7 @@ miniapps/meshing/mobius-strip.mesh
|
||||
miniapps/meshing/klein-bottle.mesh
|
||||
miniapps/meshing/toroid-*.mesh
|
||||
miniapps/meshing/twist-*.mesh
|
||||
miniapps/meshing/mesh-explorer.mesh*
|
||||
miniapps/meshing/mesh-explorer.mesh
|
||||
miniapps/meshing/partitioning.txt
|
||||
miniapps/meshing/mesh-explorer-visit*
|
||||
miniapps/meshing/mesh-explorer-paraview/
|
||||
@@ -275,27 +270,16 @@ miniapps/navier/*_output
|
||||
|
||||
miniapps/nurbs/nurbs_ex1
|
||||
miniapps/nurbs/nurbs_ex1p
|
||||
miniapps/nurbs/nurbs_ex3
|
||||
miniapps/nurbs/nurbs_ex5
|
||||
miniapps/nurbs/nurbs_ex11p
|
||||
miniapps/nurbs/nurbs_ex24
|
||||
miniapps/nurbs/nurbs_solenoidal
|
||||
miniapps/nurbs/nurbs_printfunc
|
||||
miniapps/nurbs/nurbs_patch_ex1
|
||||
miniapps/nurbs/nurbs_curveint
|
||||
miniapps/nurbs/refined.mesh
|
||||
miniapps/nurbs/mesh.*
|
||||
miniapps/nurbs/sol_?.gf
|
||||
miniapps/nurbs/sol.*
|
||||
miniapps/nurbs/mode_*
|
||||
miniapps/nurbs/Example1*
|
||||
miniapps/nurbs/Example3*
|
||||
miniapps/nurbs/Example5*
|
||||
miniapps/nurbs/Solenoidal*
|
||||
miniapps/nurbs/ParaView
|
||||
miniapps/nurbs/sin-fit.mesh
|
||||
miniapps/nurbs/ex5.mesh
|
||||
miniapps/nurbs/exsol.mesh
|
||||
miniapps/nurbs/CurveInt
|
||||
miniapps/nurbs/nurbs_naca_cmesh
|
||||
miniapps/nurbs/naca-cmesh.mesh
|
||||
@@ -385,8 +369,6 @@ miniapps/dpg/ParaView
|
||||
miniapps/spde/generate_random_field
|
||||
miniapps/spde/ParaView
|
||||
|
||||
miniapps/tribol/contact-patch-test
|
||||
|
||||
# Unit test binary and outputs
|
||||
tests/unit/output_meshes
|
||||
tests/unit/unit_tests
|
||||
|
||||
+5
-8
@@ -13,16 +13,13 @@
|
||||
# at Lawrence Livermore National Laboratory (LLNL). This entire pipeline is
|
||||
# LLNL-specific!
|
||||
|
||||
include:
|
||||
- project: 'lc-templates/id_tokens'
|
||||
file: 'id_tokens.yml'
|
||||
|
||||
# The pipeline is divided into stages. Usually, jobs in a given stage wait for
|
||||
# the preceding stages to complete before to start. However, we sometimes use
|
||||
# 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 ruby resource are allocated/released once for all.
|
||||
# - Allocate/Release is where quartz 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 +50,7 @@ variables:
|
||||
AUTOTEST_COMMIT: "YES"
|
||||
|
||||
# Trigger subpipelines:
|
||||
ruby-build-and-test:
|
||||
quartz-build-and-test:
|
||||
stage: sub-pipelines
|
||||
variables:
|
||||
# Explicitly pass down values that we want to be able to set when triggering
|
||||
@@ -61,10 +58,10 @@ ruby-build-and-test:
|
||||
AUTOTEST: "${AUTOTEST}"
|
||||
AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
|
||||
trigger:
|
||||
include: .gitlab/ruby-build-and-test.yml
|
||||
include: .gitlab/quartz-build-and-test.yml
|
||||
strategy: depend
|
||||
|
||||
ruby-baseline:
|
||||
quartz-baseline:
|
||||
stage: sub-pipelines
|
||||
variables:
|
||||
# Explicitly pass down values that we want to be able to set when triggering
|
||||
@@ -73,7 +70,7 @@ ruby-baseline:
|
||||
AUTOTEST: "${AUTOTEST}"
|
||||
AUTOTEST_COMMIT: "${AUTOTEST_COMMIT}"
|
||||
trigger:
|
||||
include: .gitlab/ruby-baseline.yml
|
||||
include: .gitlab/quartz-baseline.yml
|
||||
strategy: depend
|
||||
|
||||
lassen-build-and-test:
|
||||
|
||||
+3
-3
@@ -24,7 +24,7 @@ and `test type`.
|
||||
|
||||
Machines typically include:
|
||||
|
||||
* Ruby: 2nd Gen Intel Xeon (Cascade Lake)
|
||||
* Quartz: Intel bi-socket x86
|
||||
* 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 ruby for example resumes to:
|
||||
spack spec to use. Adding a job on quartz for example resumes to:
|
||||
|
||||
```yaml
|
||||
<job_name>:
|
||||
variables:
|
||||
SPEC: "<spack_spec>"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
```
|
||||
|
||||
The remaining and non trivial work is to make sure this spec is working. To
|
||||
|
||||
@@ -9,10 +9,6 @@
|
||||
# terms of the BSD-3 license. We welcome feedback and contributions, see file
|
||||
# CONTRIBUTING.md for details.
|
||||
|
||||
include:
|
||||
- project: 'lc-templates/id_tokens'
|
||||
file: 'id_tokens.yml'
|
||||
|
||||
# We define the following GitLab pipeline variables:
|
||||
variables:
|
||||
|
||||
@@ -24,7 +20,7 @@ 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 ruby, there is only one allocation shared among jobs in order to
|
||||
# On LLNL's quartz, 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}
|
||||
|
||||
@@ -35,8 +35,9 @@ variables:
|
||||
- when: on_success
|
||||
|
||||
# Lassen uses a different job scheduler (spectrum lsf) that does not allow
|
||||
# pre-allocation the same way slurm does. We use the pci queue on lassen
|
||||
# to speed-up the allocation.
|
||||
# pre-allocation the same way slurm does. We use pdebug queue on lassen
|
||||
# to speed-up the allocation. However this would not be scalable to
|
||||
# multiple builds.
|
||||
.build_and_test_on_lassen:
|
||||
extends: [.on_lassen]
|
||||
stage: build_and_test
|
||||
@@ -44,5 +45,5 @@ variables:
|
||||
- echo ${MFEM_DATA_DIR}
|
||||
- echo ${SPEC}
|
||||
# Next script uses 'THREADS': leaving it empty --> it uses 'make all -j'
|
||||
- lalloc 1 -W 45 -q pci --atsdisable tests/gitlab/build_and_test --spec "${SPEC}" --data-dir "${MFEM_DATA_DIR}" --data
|
||||
- lalloc 1 -W 45 -q pdebug --atsdisable tests/gitlab/build_and_test --spec "${SPEC}" --data-dir "${MFEM_DATA_DIR}" --data
|
||||
needs: [setup]
|
||||
|
||||
@@ -9,17 +9,17 @@
|
||||
# terms of the BSD-3 license. We welcome feedback and contributions, see file
|
||||
# CONTRIBUTING.md for details.
|
||||
|
||||
# GitLab pipelines configurations for the Ruby machine at LLNL
|
||||
# GitLab pipelines configurations for the Quartz machine at LLNL
|
||||
variables:
|
||||
MACHINE_NAME: ruby
|
||||
MACHINE_NAME: quartz
|
||||
|
||||
.on_ruby:
|
||||
.on_quartz:
|
||||
tags:
|
||||
- shell
|
||||
- ruby
|
||||
- quartz
|
||||
rules:
|
||||
# Don't run ruby jobs if...
|
||||
- if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_RUBY == "OFF"'
|
||||
# Don't run quartz jobs if...
|
||||
- if: '$CI_COMMIT_BRANCH =~ /_qnone/ || $ON_QUARTZ == "OFF"'
|
||||
when: never
|
||||
# Don't run autotest update if...
|
||||
- if: '$CI_JOB_NAME =~ /report/ && $AUTOTEST != "YES"'
|
||||
@@ -40,16 +40,16 @@ variables:
|
||||
- when: on_success
|
||||
|
||||
# Spack helped builds
|
||||
# Generic ruby build job, extending build script
|
||||
.build_and_test_on_ruby:
|
||||
extends: [.on_ruby]
|
||||
# Generic quartz build job, extending build script
|
||||
.build_and_test_on_quartz:
|
||||
extends: [.on_quartz]
|
||||
stage: build_and_test
|
||||
script:
|
||||
# THREADS is used by 'tests/gitlab/build_and_test', run below
|
||||
- export THREADS=16
|
||||
- export THREADS=12
|
||||
- echo ${ALLOC_NAME}
|
||||
- export JOBID=$(squeue -h --name=${ALLOC_NAME} --format=%A)
|
||||
- echo ${JOBID}
|
||||
- echo ${MFEM_DATA_DIR}
|
||||
- echo ${SPEC}
|
||||
- srun $( [[ -n "${JOBID}" ]] && echo "--jobid=${JOBID}" ) --reservation=ci -t 45 -N 1 tests/gitlab/build_and_test --spec "${SPEC}" --data-dir "${MFEM_DATA_DIR}" --data
|
||||
- srun $( [[ -n "${JOBID}" ]] && echo "--jobid=${JOBID}" ) -t 45 -N 1 tests/gitlab/build_and_test --spec "${SPEC}" --data-dir "${MFEM_DATA_DIR}" --data
|
||||
@@ -18,7 +18,7 @@
|
||||
setup_baseline:
|
||||
tags:
|
||||
- shell
|
||||
- ruby
|
||||
- quartz
|
||||
stage: setup
|
||||
variables:
|
||||
GIT_STRATEGY: none
|
||||
|
||||
@@ -16,7 +16,7 @@
|
||||
setup:
|
||||
tags:
|
||||
- shell
|
||||
- ruby
|
||||
- quartz
|
||||
stage: setup
|
||||
variables:
|
||||
GIT_STRATEGY: none
|
||||
|
||||
@@ -14,14 +14,14 @@ stages:
|
||||
- build_and_test
|
||||
- report
|
||||
|
||||
opt_mpi_cuda_gcc:
|
||||
opt_mpi_cuda_xl_16_1_1_12:
|
||||
variables:
|
||||
SPEC: "%gcc@8.3.1 +mpi +cuda cuda_arch=70"
|
||||
SPEC: "%xl@16.1.1.12 +mpi +cuda cuda_arch=70"
|
||||
extends: .build_and_test_on_lassen
|
||||
|
||||
opt_mpi_cuda_hypre_cuda_gcc:
|
||||
opt_mpi_cuda_hypre_cuda_xl:
|
||||
variables:
|
||||
SPEC: "%gcc@8.3.1 +mpi +cuda cuda_arch=70 ^hypre+cuda~shared cuda_arch=70"
|
||||
SPEC: "%xl@16.1.1.12 +mpi +cuda cuda_arch=70 ^hypre+cuda~shared cuda_arch=70"
|
||||
extends: .build_and_test_on_lassen
|
||||
|
||||
# Jobs report
|
||||
|
||||
@@ -19,8 +19,8 @@ stages:
|
||||
- cleanup
|
||||
- baseline_publish
|
||||
|
||||
baselinecheck_mfem_intel_ruby:
|
||||
extends: [.on_ruby]
|
||||
baselinecheck_mfem_intel_quartz:
|
||||
extends: [.on_quartz]
|
||||
stage: baseline_check
|
||||
variables:
|
||||
# TPLS_DIR is used in .gitlab/scripts/baseline to provide the tpls location
|
||||
@@ -32,7 +32,7 @@ baselinecheck_mfem_intel_ruby:
|
||||
- echo ${BUILD_ROOT}
|
||||
- echo ${TPLS_DIR}
|
||||
# Used by the tests in MFEM/tests:
|
||||
- export MFEM_TEST_NP=48
|
||||
- export MFEM_TEST_NP=32
|
||||
# The next script uses the following environment variables:
|
||||
# * BASELINE_TEST, SYS_TYPE, CI_PROJECT_DIR, ARTIFACTS_DIR,
|
||||
# * BUILD_ROOT, TPLS_DIR, MACHINE_NAME
|
||||
@@ -44,16 +44,18 @@ baselinecheck_mfem_intel_ruby:
|
||||
allow_failure: true
|
||||
|
||||
cleanup:
|
||||
extends: .on_ruby
|
||||
extends: .on_quartz
|
||||
stage: cleanup
|
||||
variables:
|
||||
GIT_STRATEGY: none
|
||||
script:
|
||||
- echo "BUILD_ROOT=${BUILD_ROOT}"
|
||||
- rm -rf "${BUILD_ROOT}" || true
|
||||
- echo "CI_PROJECT_DIR=${CI_PROJECT_DIR}"
|
||||
- make -C "${CI_PROJECT_DIR}" distclean
|
||||
|
||||
report_baseline:
|
||||
extends: [.on_ruby]
|
||||
extends: [.on_quartz]
|
||||
stage: baseline_report
|
||||
script:
|
||||
- echo ${MACHINE_NAME}
|
||||
@@ -113,8 +115,8 @@ report_baseline:
|
||||
exit $err
|
||||
) 9> autotest.lock
|
||||
|
||||
baselinepublish_mfem_ruby:
|
||||
extends: [.on_ruby]
|
||||
baselinepublish_mfem_quartz:
|
||||
extends: [.on_quartz]
|
||||
stage: baseline_publish
|
||||
rules:
|
||||
# - if: '$CI_COMMIT_BRANCH == "master" || $REBASELINE == "YES"'
|
||||
@@ -129,5 +131,5 @@ baselinepublish_mfem_ruby:
|
||||
|
||||
include:
|
||||
- local: .gitlab/configs/common.yml
|
||||
- local: .gitlab/configs/ruby-config.yml
|
||||
- local: .gitlab/configs/quartz-config.yml
|
||||
- local: .gitlab/configs/setup-baseline.yml
|
||||
@@ -19,54 +19,54 @@ stages:
|
||||
allocate_resource:
|
||||
variables:
|
||||
GIT_STRATEGY: none
|
||||
extends: .on_ruby
|
||||
extends: .on_quartz
|
||||
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 Ruby machine at LLNL
|
||||
# GitLab jobs for the Quartz machine at LLNL
|
||||
debug_ser_gcc_10:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 +debug~mpi"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
debug_par_gcc_10:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 +debug+mpi"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
opt_ser_gcc_10:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 ~mpi"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
opt_par_gcc_10:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
opt_par_gcc_10_sundials:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 +sundials"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
opt_par_gcc_10_petsc:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 +petsc ^petsc+mumps~superlu-dist"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
opt_par_gcc_10_pumi:
|
||||
variables:
|
||||
SPEC: "%gcc@10.3.1 +pumi"
|
||||
extends: .build_and_test_on_ruby
|
||||
extends: .build_and_test_on_quartz
|
||||
|
||||
# Release
|
||||
release_resource:
|
||||
variables:
|
||||
GIT_STRATEGY: none
|
||||
extends: .on_ruby
|
||||
extends: .on_quartz
|
||||
stage: release_resource_and_report
|
||||
script:
|
||||
- echo ${ALLOC_NAME}
|
||||
@@ -78,17 +78,17 @@ release_resource:
|
||||
report_job_success:
|
||||
stage: release_resource_and_report
|
||||
extends:
|
||||
- .on_ruby
|
||||
- .on_quartz
|
||||
- .report_job_success
|
||||
|
||||
report_job_failure:
|
||||
stage: release_resource_and_report
|
||||
extends:
|
||||
- .on_ruby
|
||||
- .on_quartz
|
||||
- .report_job_failure
|
||||
|
||||
include:
|
||||
- local: .gitlab/configs/common.yml
|
||||
- local: .gitlab/configs/ruby-config.yml
|
||||
- local: .gitlab/configs/quartz-config.yml
|
||||
- local: .gitlab/configs/setup-build-and-test.yml
|
||||
- local: .gitlab/configs/report-build-and-test.yml
|
||||
@@ -14,7 +14,7 @@
|
||||
# locals
|
||||
glob_err=${BASELINE_TEST}.err
|
||||
base=${BASELINE_TEST}-${SYS_TYPE}
|
||||
if [[ "${MACHINE_NAME}" == "ruby" ]]; then
|
||||
if [[ "${MACHINE_NAME}" == "quartz" ]]; then
|
||||
base="${BASELINE_TEST}-${MACHINE_NAME}"
|
||||
fi
|
||||
base_diff=${base}.diff
|
||||
@@ -31,21 +31,21 @@ cd tests
|
||||
mkdir _${BASELINE_TEST} && cd _${BASELINE_TEST}
|
||||
|
||||
# run
|
||||
if [[ "${MACHINE_NAME}" == "ruby" ]]; then
|
||||
salloc --nodes=1 --exclusive --reservation=ci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
|
||||
if [[ "${MACHINE_NAME}" == "quartz" || "${MACHINE_NAME}" == "ruby" ]]; then
|
||||
salloc --nodes=1 -p pdebug ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
|
||||
elif [[ ${MACHINE_NAME} == "corona" ]]; then
|
||||
salloc --nodes=1 -t 60 -p pbatch ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
|
||||
elif [[ ${MACHINE_NAME} == "lassen" ]]; then
|
||||
lalloc 1 -q pci ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
|
||||
lalloc 1 -q pdebug ../runtest ../../mfem "${BASELINE_TEST} ${TPLS_DIR}"
|
||||
else
|
||||
echo "Unknown machine: MACHINE_NAME=$MACHINE_NAME"
|
||||
exit 1
|
||||
fi
|
||||
status="$?"
|
||||
|
||||
# post
|
||||
mkdir ${artifacts_path}
|
||||
|
||||
status=0
|
||||
if [[ -f ${BASELINE_TEST}.out ]]; then
|
||||
cp ${BASELINE_TEST}.out ${artifacts_path}
|
||||
fi
|
||||
|
||||
@@ -11,7 +11,7 @@
|
||||
# terms of the BSD-3 license. We welcome feedback and contributions, see file
|
||||
# CONTRIBUTING.md for details.
|
||||
|
||||
# There will be collision between corona and ruby baselines.
|
||||
# There will be collision between corona and quartz baselines.
|
||||
# Once the corresponding files have been generated, we can switch to machine
|
||||
# specific ref.
|
||||
ARTIFACT_PATH=${CI_PROJECT_DIR}/${ARTIFACTS_DIR}/baseline-${SYS_TYPE}
|
||||
@@ -21,7 +21,7 @@ PATCH_FILE=${ARTIFACT_PATH}.patch
|
||||
FULL_FILE=${ARTIFACT_PATH}.out
|
||||
DIFF_FILE=${ARTIFACT_PATH}.diff
|
||||
|
||||
# There will be collision between corona and ruby baselines.
|
||||
# There will be collision between corona and quartz baselines.
|
||||
# Once the corresponding files have been generated, we can switch to machine
|
||||
# specific ref.
|
||||
SAVED_NAME=baseline-${SYS_TYPE}.saved
|
||||
|
||||
@@ -8,199 +8,74 @@
|
||||
https://mfem.org
|
||||
|
||||
|
||||
Version 4.7.1 (development)
|
||||
Version 4.6.1 (development)
|
||||
===========================
|
||||
- Refactored ALGOIM cut integration rules. The interface is unified with
|
||||
the interface for moment based cut integration rules.
|
||||
|
||||
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.
|
||||
|
||||
- Added support for external boundary submeshes with nonconformal mesh adaptation.
|
||||
|
||||
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.
|
||||
|
||||
- Element assembly kernels have been added for low-order refined to
|
||||
high-order transfer operators. New kernels can be offloaded as device
|
||||
kernels. Example usage may be found in lor-transfer.cpp under miniapps/tools.
|
||||
|
||||
Miscellaneous
|
||||
-------------
|
||||
- Added support for SUNDIALS v7. See the section "API changes" for some small
|
||||
changes related to this new version.
|
||||
|
||||
- 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()`),
|
||||
otherwise `TimeDependentOperator::ExplicitMult` is used. A check has been
|
||||
added to `ARKStepSolver` to verify that the associated ODE operator is not in
|
||||
explicit form when a mass matrix solver is enabled via a call to either the
|
||||
`UseMFEMMassLinearSolver` or `UseSundialsMassLinearSolver` methods. This is
|
||||
because enabling a mass matrix solver assumes that F(u,k,t) = M k in the
|
||||
associated ODE operator.
|
||||
|
||||
- Added support for custom interpolation procedure in FindPointsGSLIB.
|
||||
|
||||
API changes
|
||||
-----------
|
||||
- API change: in class GridFunction, 'fec' was renamed to 'fec_owned'.
|
||||
|
||||
- API change: support for SUNDIALS v7:
|
||||
* the SUNDIALS types `realtype` and `booleantype` are no longer defined by v7
|
||||
and therefore MFEM now uses the new type names `sunrealtype` and
|
||||
`sunbooleantype`, respectively, which MFEM defines when using SUNDIALS < v6
|
||||
where these types were not defined.
|
||||
* The SUNDIALS macro `SUNLS_SUCCESS` and some other `*_SUCCESS` macros were
|
||||
removed and replaced by `SUN_SUCCESS` in v7, so to avoid tedious checks for
|
||||
SUNDIALS versions, MFEM now defines and uses the constant `SUN_SUCCESS` when
|
||||
using SUNDIALS < v7.
|
||||
* The constants `SUN_PREC_*`, introduced by SUNDIALS v6 are now introduced by
|
||||
MFEM when using SUNDIALS < v6 to avoid tedious version checks.
|
||||
|
||||
|
||||
Version 4.7, released on May 7, 2024
|
||||
====================================
|
||||
|
||||
- Added support for single precision (with corresponding hypre build). The MFEM
|
||||
floating point type was generalized from `double` to `real_t`. For details see
|
||||
https://github.com/orgs/mfem/discussions/4207.
|
||||
|
||||
Meshing improvements
|
||||
--------------------
|
||||
- Added the capability to partition (big) serial meshes in serial code, see the
|
||||
new classes MeshPartitioner and MeshPart. This capability is also exposed as a
|
||||
menu option in the mesh-explorer miniapp in miniapps/meshing.
|
||||
|
||||
- Added named attribute sets and basic supporting methods to the Mesh class as a
|
||||
convenient means of referring to sets of domain or boundary attribute numbers.
|
||||
See the new Example 39/39p and data/compass.mesh.
|
||||
|
||||
- Introduced formulas for refinement of patches in NURBS meshes. Refinement by
|
||||
arbitrary integer factors is also enabled, e.g. in the mesh-explorer miniapp.
|
||||
NURBS coarsening and knot removal are also introduced.
|
||||
|
||||
- Added support for internal boundary elements in nonconforming meshes.
|
||||
|
||||
- Added ExodusII output capability. The writer can handle first-order (Pyramid5,
|
||||
Wedge6, Hex8, Tet4) and second-order FE types (Pyramid14, Wedge18, Hex27, Tet10).
|
||||
|
||||
- The ReadCubit Genesis mesh importer has been rewritten to improve readability.
|
||||
|
||||
Discretization improvements
|
||||
---------------------------
|
||||
- Added a new nonlinear integrator, `HyperbolicFormIntegrator` that implements
|
||||
- Introduced support for higher order non conformal Nedelec elements on
|
||||
simplices in ParMesh.
|
||||
- Introduced support for internal boundary elements in nonconformal adapted
|
||||
meshes.
|
||||
|
||||
- Added functionality for construction of cut-surface and cut-volume
|
||||
IntegrationRules through a moment-fitting approach. The cut is specified by
|
||||
the zero level set of a Coefficient. See fem/intrules_cut.hpp and Example 38.
|
||||
|
||||
- Added a new nonlinear integrator, `HyperbolicFormIntegrator`. This implements
|
||||
both element-wise weak divergence and face-wise numerical flux for a general
|
||||
system of hyperbolic conservation laws. To use the integrator for a specific
|
||||
system of hyperbolic conservation laws. To use this integrator for a specific
|
||||
flux function, users can define a derived class of `FluxFunction`. Currently,
|
||||
advection, Burgers, shallow-water and Euler equations (see Example 18/18p) are
|
||||
advection, Burgers', shallow-water, Euler equations (see, Example 18) are
|
||||
available.
|
||||
|
||||
- Added a capability to construct cut-surface and cut-volume IntegrationRules
|
||||
through a moment-fitting approach. The cut is specified by the zero level set
|
||||
of a Coefficient. See fem/intrules_cut.hpp and the new Example 38.
|
||||
|
||||
- Introduced support for high-order nonconforming Nedelec elements on simplices.
|
||||
|
||||
GPU computing
|
||||
-------------
|
||||
- Added partial assembly and GPU support for the DG diffusion integrator.
|
||||
|
||||
- Efficient GPU-accelerated LOR assembly is now supported on surface meshes.
|
||||
|
||||
- Added functionality to automatically configure hypre's compute policy to match
|
||||
MFEM's compute policy when hypre is built with GPU support. Requires version
|
||||
hypre-2.31.0 or later.
|
||||
|
||||
GPU support
|
||||
----------------------------
|
||||
- Added support for full assembly on simplices.
|
||||
|
||||
- Added partial assembly for linear elasticity (no sum factorization for now).
|
||||
|
||||
- Added functionality for BilinearFormIntegrators to use kernels that work for
|
||||
both tensor and unstructured elements.
|
||||
|
||||
- The RAJA backend will use `seq_exec` for serial loop execution when RAJA
|
||||
v2023.06.00 and beyond is detected as `loop_exec` is deprecated.
|
||||
|
||||
- API change: The macro MFEM_HYPRE_FORALL (from hypre.hpp) which was intended
|
||||
for internal use, has been removed and replaced by the function template
|
||||
mfem::hypre_forall in general/forall.hpp.
|
||||
- Added functionality for BilinearFormIntegrators to use kernels that work for both
|
||||
tensor and unstructured elements.
|
||||
- Added partial assembly for linear elasticity. Does not use sum factorization for now.
|
||||
|
||||
New and updated examples and miniapps
|
||||
-------------------------------------
|
||||
- Added a new miniapp illustrating elastic contact based on the Tribol library,
|
||||
(https://github.com/LLNL/Tribol). See miniapps/tribol.
|
||||
- Added a new block solver in miniapp/solvers for the Darcy problem.
|
||||
The new solver is based on a Bramble-Pasciak preconditioning. User can
|
||||
use and implement their own preconditioner for the mass matrix.
|
||||
|
||||
- Added a miniapp to demonstrate low order refined (LOR) block preconditioning
|
||||
for linear elasticity on GPUs. See miniapps/solvers/lor_elast.
|
||||
|
||||
- Added a new block solver in miniapp/solvers for the Darcy problem. The new
|
||||
solver is based on a Bramble-Pasciak preconditioning. User can use and
|
||||
implement their own preconditioner for the mass matrix.
|
||||
|
||||
- Added a small miniapp for printing the shape functions of a KnotVector. See
|
||||
miniapps/nurbs/nurbs_printfunc.cpp.
|
||||
|
||||
- Added two new example codes: 38 and 39/39p described above. Substantially
|
||||
updated Example 18/18p.
|
||||
|
||||
- Added ODE solvers selection routines. This creates a uniformity across examples,
|
||||
miniapps and other executables in regard to ODE(time-integrator) selection.
|
||||
|
||||
- Added new mechanism for retrieving and setting state vectors in ODE solvers.
|
||||
This is relevant for AB/AM and gen-alpha solvers.
|
||||
|
||||
- Added ODEsolver/ODEsolver2 unit tests to verify order of convergence and
|
||||
read/write functionality.
|
||||
- Added miniapp to demonstrate new elasticity integrator and unstructured element GPU support,
|
||||
and a block diagonal preconditioner using low order refinement. Allows comparison with
|
||||
currently existing legacy mode integrator. See miniapps/solvers/lor_elast.
|
||||
|
||||
Miscellaneous
|
||||
-------------
|
||||
- Added support for single and double precision, with corresponding hypre build.
|
||||
Generalized the floating point type from `double` to `real_t`. For more
|
||||
details see https://github.com/orgs/mfem/discussions/4207.
|
||||
|
||||
- The ReadCubit Genesis mesh importer has been rewritten to improve readability.
|
||||
|
||||
- Updated the Doxygen documentation style, which now requires Doxygen version
|
||||
1.9.8 or later. See the doc/ directory.
|
||||
|
||||
- Improved thread safety for global variables in the library, e.g. for IntRules,
|
||||
RefinedIntRules, GlobGeometryRefiner, and FiniteElement::dof2quad_array.
|
||||
- Improved thread safety for global variables in the library, for example
|
||||
IntegrationRules IntRules, RefinedIntRules, GeometryRefiner
|
||||
GlobGeometryRefiner, and FiniteElement::dof2quad_array.
|
||||
|
||||
- PETSc integration now generally requires PETSc version 3.21 or later, though
|
||||
depending on the functionality older versions may still work.
|
||||
|
||||
- Various other simplifications, extensions, and bugfixes in the code.
|
||||
|
||||
- Added GSLIB-based gather-scatter operator.
|
||||
- RAJA backend will use seq_exec for serial loop execution when RAJA
|
||||
v2023.06.00 and beyond is detected as loop_exec is deprecated.
|
||||
|
||||
- Adding named attribute sets and basic supporting methods to the Mesh class as
|
||||
a convenient means of referring to sets of domain or boundary attribute
|
||||
numbers. Also adding related serial and parallel examples which illustrate.
|
||||
|
||||
Version 4.6, released on September 27, 2023
|
||||
===========================================
|
||||
@@ -221,6 +96,7 @@ Meshing improvements
|
||||
* The edge to knot map for NURBS meshes can be determined automatically. It is
|
||||
no longer needed to specify this in the NURBS mesh.
|
||||
* Added curve interpolation method for NURBS.
|
||||
* Added new small miniapp for printing of shape functions of a KnotVector
|
||||
* See miniapps/nurbs for example meshes and miniapps.
|
||||
|
||||
Discretization improvements
|
||||
@@ -267,6 +143,8 @@ Linear and nonlinear solvers
|
||||
|
||||
- Added HIP support to the PETSc and SUNDIALS interfaces.
|
||||
|
||||
- Efficient GPU-accelerated LOR assembly now supports surface meshes.
|
||||
|
||||
New and updated examples and miniapps
|
||||
-------------------------------------
|
||||
- Added a new H(div) solver miniapp demonstrating the use of a matrix-free
|
||||
|
||||
+7
-28
@@ -58,7 +58,7 @@ project(mfem NONE)
|
||||
# Current version of MFEM, see also `makefile`.
|
||||
# mfem_VERSION = (string)
|
||||
# MFEM_VERSION = (int) [automatically derived from mfem_VERSION]
|
||||
set(${PROJECT_NAME}_VERSION 4.7.1)
|
||||
set(${PROJECT_NAME}_VERSION 4.6.1)
|
||||
|
||||
# Prohibit in-source build
|
||||
if (${PROJECT_SOURCE_DIR} STREQUAL ${PROJECT_BINARY_DIR})
|
||||
@@ -87,11 +87,10 @@ if (MFEM_USE_STRUMPACK OR MFEM_USE_MUMPS)
|
||||
# Just needed to find the MPI_Fortran libraries to link with
|
||||
set(XSDK_ENABLE_Fortran ON)
|
||||
endif()
|
||||
# SUNDIALS, STRUMPACK, Ginkgo, Tribol, RAJA and Umpire require C++14:
|
||||
# SUNDIALS, STRUMPACK, Ginkgo, RAJA and Umpire require C++14:
|
||||
if ((MFEM_USE_SUNDIALS OR
|
||||
MFEM_USE_STRUMPACK OR
|
||||
MFEM_USE_GINKGO OR
|
||||
MFEM_USE_TRIBOL OR
|
||||
MFEM_USE_RAJA OR
|
||||
MFEM_USE_UMPIRE) AND
|
||||
("${CMAKE_CXX_STANDARD}" LESS "14"))
|
||||
@@ -146,9 +145,7 @@ 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)
|
||||
@@ -233,7 +230,6 @@ 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()
|
||||
|
||||
@@ -340,10 +336,7 @@ if (MFEM_USE_SUNDIALS)
|
||||
if (MFEM_USE_HIP)
|
||||
list(APPEND SUNDIALS_COMPONENTS NVector_Hip)
|
||||
endif()
|
||||
# The Core component was added in SUNDIALS v7, so we treat it as optional in
|
||||
# order to support older versions.
|
||||
find_package(SUNDIALS REQUIRED ${SUNDIALS_COMPONENTS}
|
||||
OPTIONAL_COMPONENTS Core)
|
||||
find_package(SUNDIALS REQUIRED ${SUNDIALS_COMPONENTS})
|
||||
endif()
|
||||
|
||||
# SuperLU_DIST can only be enabled in parallel
|
||||
@@ -402,10 +395,6 @@ if (MFEM_USE_AMGX)
|
||||
find_package(AMGX REQUIRED)
|
||||
endif()
|
||||
|
||||
if (MFEM_USE_MAGMA)
|
||||
find_package(MAGMA REQUIRED)
|
||||
endif()
|
||||
|
||||
if (MFEM_USE_CONDUIT)
|
||||
find_package(Conduit REQUIRED conduit relay blueprint)
|
||||
endif()
|
||||
@@ -514,15 +503,6 @@ if (MFEM_USE_PARELAG)
|
||||
find_package(PARELAG REQUIRED)
|
||||
endif()
|
||||
|
||||
# Tribol
|
||||
if (MFEM_USE_TRIBOL)
|
||||
if (MFEM_USE_MPI)
|
||||
find_package(Tribol REQUIRED tribol redecomp)
|
||||
else()
|
||||
message(FATAL_ERROR " *** Tribol requires that MPI be enabled.")
|
||||
endif()
|
||||
endif()
|
||||
|
||||
# Enzyme
|
||||
if (MFEM_USE_ENZYME)
|
||||
find_package(ENZYME REQUIRED)
|
||||
@@ -567,9 +547,8 @@ find_package(Threads REQUIRED)
|
||||
set(MFEM_TPLS OPENMP HYPRE LAPACK BLAS SuperLUDist STRUMPACK METIS SuiteSparse
|
||||
SUNDIALS PETSC SLEPC MUMPS AXOM FMS CONDUIT Ginkgo GNUTLS GSLIB
|
||||
NETCDF MPFR PUMI HIOP POSIXCLOCKS MFEMBacktrace ZLIB OCCA CEED RAJA UMPIRE
|
||||
ADIOS2 MKL_CPARDISO MKL_PARDISO AMGX MAGMA CUSPARSE CUBLAS CALIPER CODIPACK
|
||||
BENCHMARK PARELAG TRIBOL MPI_CXX HIP HIPBLAS HIPSPARSE MOONOLITH BLITZ
|
||||
ALGOIM ENZYME)
|
||||
ADIOS2 CUSPARSE MKL_CPARDISO MKL_PARDISO AMGX CALIPER CODIPACK
|
||||
BENCHMARK PARELAG MPI_CXX HIP HIPSPARSE MOONOLITH BLITZ ALGOIM ENZYME)
|
||||
|
||||
# Add all *_FOUND libraries in the variable TPL_LIBRARIES.
|
||||
set(TPL_LIBRARIES "")
|
||||
@@ -684,7 +663,7 @@ if (NOT ("${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}/${Header}"
|
||||
)
|
||||
@@ -698,7 +677,7 @@ if (NOT ("${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}"
|
||||
)
|
||||
|
||||
+1
-2
@@ -151,8 +151,7 @@ The MFEM source code has the following structure:
|
||||
│ ├── solvers
|
||||
│ ├── spde
|
||||
│ ├── tools
|
||||
│ ├── toys
|
||||
│ └── tribol
|
||||
│ └── toys
|
||||
└── tests
|
||||
├── benchmarks
|
||||
├── convergence
|
||||
|
||||
@@ -75,8 +75,6 @@ and miniapps. See https://glvis.org and https://mfem.org/building.
|
||||
|
||||
Quick start with GNU make
|
||||
=========================
|
||||
See also: https://mfem.org/building
|
||||
|
||||
Serial build:
|
||||
make serial -j 4
|
||||
|
||||
@@ -85,7 +83,6 @@ Parallel build:
|
||||
(build METIS 4 in ../metis-4.0 relative to mfem/)
|
||||
(build hypre in ../hypre relative to mfem/)
|
||||
make parallel -j 4
|
||||
(For METIS 5, see https://mfem.org/building/#parallel-build-using-metis-5)
|
||||
|
||||
CUDA build:
|
||||
make cuda -j 4
|
||||
@@ -119,7 +116,6 @@ Parallel build:
|
||||
mkdir <mfem-build-dir> ; cd <mfem-build-dir>
|
||||
cmake <mfem-source-dir> -DMFEM_USE_MPI=YES
|
||||
make -j 4
|
||||
(For METIS 5, see https://mfem.org/building/#parallel-build-using-metis-5)
|
||||
|
||||
CUDA build:
|
||||
(this build requires CMake 3.8 or newer)
|
||||
@@ -273,13 +269,7 @@ 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, 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
|
||||
INSTALL - Specify the install program, e.g /usr/bin/install
|
||||
|
||||
MFEM library features/options (GNU make)
|
||||
----------------------------------------
|
||||
@@ -394,11 +384,6 @@ 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
|
||||
@@ -502,14 +487,10 @@ MFEM_USE_CODIPACK = YES/NO
|
||||
MFEM_USE_ALGOIM = YES/NO
|
||||
Enable the usage of Algoim - a collection of high-order accurate numerical
|
||||
methods and C++ algorithms for working with implicitly-defined geometry and
|
||||
level set methods, see https://algoim.github.io. MFEM provides interface to
|
||||
Algoim v1. To check out the specific Algoim state use:
|
||||
https://github.com/algoim/algoim
|
||||
level set methods. The Algoim library requires the Blitz++ library. The MFEM
|
||||
provides interface to Algoim v1. Thus, to check out the specific state use:
|
||||
git checkout 9c9ca0ef094d8ab0390ed36367a1151b459bbe0a
|
||||
The Algoim library requires the Blitz++ library. To use the latest state of
|
||||
Blitz++ that has been tested with MFEM, use:
|
||||
https://github.com/blitzpp/blitz
|
||||
git checkout f24a250a43dff88c31ad92916da828b7ea9a98b7
|
||||
https://algoim.github.io
|
||||
|
||||
MFEM_USE_ADFORWARD = YES/NO
|
||||
Enable forward mode for AD packages. This option is valid
|
||||
@@ -590,11 +571,6 @@ MFEM_USE_PARELAG = YES/NO
|
||||
use ParELAG. In fact, ParELAG is dependent on MFEM. Therefore, this option
|
||||
currently only concerns the miniapps.
|
||||
|
||||
MFEM_USE_TRIBOL = YES/NO
|
||||
Enables the miniapps that use the Tribol library. MFEM does not currently
|
||||
use Tribol. In fact, Tribol is dependent on MFEM. Therefore, this option
|
||||
currently only concerns the miniapps.
|
||||
|
||||
MFEM_USE_ENZYME = YES/NO
|
||||
Enables automatic differentiation support through the LLVM plugin Enzyme.
|
||||
This requires the compiler to be set to clang (>=14.0.0). We also advise to
|
||||
@@ -631,13 +607,9 @@ The specific libraries and their options are:
|
||||
HYPRE >= 2.20.0 (HYPRE built with '--enable-mixedint')
|
||||
HYPRE >= 2.22.1 (HYPRE built with CUDA)
|
||||
HYPRE >= 2.23.0 (HYPRE built with HIP)
|
||||
HYPRE >= 2.31.0 (runtime selectable HYPRE execution on CPU/GPU)
|
||||
|
||||
- METIS, used when MFEM_USE_METIS = YES. If using METIS 5, set
|
||||
MFEM_USE_METIS_5 = YES (default is to use METIS 4). For building instructions,
|
||||
see the following:
|
||||
- METIS 4.0.3: https://mfem.org/building/#parallel-mpi-version-of-mfem
|
||||
- METIS 5.1.0: https://mfem.org/building/#parallel-build-using-metis-5
|
||||
MFEM_USE_METIS_5 = YES (default is to use METIS 4).
|
||||
URL: https://github.com/mfem/tpls (MFEM mirror, see above)
|
||||
Options: METIS_OPT, METIS_LIB.
|
||||
Versions: METIS 4.0.3 or 5.1.0.
|
||||
@@ -714,11 +686,6 @@ 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).
|
||||
@@ -890,10 +857,6 @@ The specific libraries and their options are:
|
||||
URL: https://github.com/LLNL/parelag
|
||||
Options: PARELAG_DIR, PARELAG_OPT, PARELAG_LIB.
|
||||
|
||||
- Tribol, used when MFEM_USE_TRIBOL = YES.
|
||||
URL: https://github.com/LLNL/Tribol
|
||||
Options: TRIBOL_DIR, TRIBOL_OPT, TRIBOL_LIB.
|
||||
|
||||
- Enzyme, used when MFEM_USE_ENZYME = YES. Requires LLVM/Clang >= 14.0.0.
|
||||
URL: https://github.com/EnzymeAD/Enzyme
|
||||
Options: ENZYME_DIR, ENZYME_OPT, ENZYME_LIB.
|
||||
@@ -1038,7 +1001,6 @@ MFEM_USE_CALIPER
|
||||
MFEM_USE_FMS
|
||||
MFEM_USE_BENCHMARK
|
||||
MFEM_USE_PARELAG
|
||||
MFEM_USE_TRIBOL
|
||||
MFEM_USE_ENZYME
|
||||
|
||||
The following options are CMake specific:
|
||||
|
||||
@@ -287,7 +287,3 @@ ENDIF()
|
||||
IF (DEFINED TPL_ENABLE_PARELAG)
|
||||
SET(MFEM_USE_PARELAG ${TPL_ENABLE_PARELAG} CACHE BOOL "Enable ParELAG" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_TRIBOL)
|
||||
SET(MFEM_USE_TRIBOL ${TPL_ENABLE_TRIBOL} CACHE BOOL "Enable Tribol" FORCE)
|
||||
ENDIF()
|
||||
|
||||
@@ -37,7 +37,6 @@ 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@)
|
||||
@@ -65,7 +64,6 @@ set(MFEM_USE_CALIPER @MFEM_USE_CALIPER@)
|
||||
set(MFEM_USE_ALGOIM @MFEM_USE_ALGOIM@)
|
||||
set(MFEM_USE_BENCHMARK @MFEM_USE_BENCHMARK@)
|
||||
set(MFEM_USE_PARELAG @MFEM_USE_PARELAG@)
|
||||
set(MFEM_USE_TRIBOL @MFEM_USE_TRIBOL@)
|
||||
set(MFEM_USE_ENZYME @MFEM_USE_ENZYME@)
|
||||
|
||||
set(MFEM_CXX_COMPILER "@CMAKE_CXX_COMPILER@")
|
||||
|
||||
@@ -114,9 +114,6 @@
|
||||
// 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
|
||||
|
||||
|
||||
@@ -18,13 +18,4 @@ include(MfemCmakeUtilities)
|
||||
# Note: components are enabled based on the find_package() parameters.
|
||||
mfem_find_package(Axom AXOM AXOM_DIR "include" "" "lib" ""
|
||||
"Paths to headers required by Axom." "Libraries required by Axom."
|
||||
ADD_COMPONENT core "include" axom/core.hpp "lib" axom_core
|
||||
ADD_COMPONENT inlet "include" axom/inlet.hpp "lib" axom_inlet
|
||||
ADD_COMPONENT klee "include" axom/klee.hpp "lib" axom_klee
|
||||
ADD_COMPONENT lumberjack "include" axom/lumberjack.hpp "lib" axom_lumberjack
|
||||
ADD_COMPONENT mint "include" axom/mint.hpp "lib" axom_mint
|
||||
ADD_COMPONENT multimat "include" axom/multimat.hpp "lib" axom_multimat
|
||||
ADD_COMPONENT quest "include" axom/quest.hpp "lib" axom_quest
|
||||
ADD_COMPONENT sidre "include" axom/sidre.hpp "lib" axom_sidre
|
||||
ADD_COMPONENT slam "include" axom/slam.hpp "lib" axom_slam
|
||||
ADD_COMPONENT slic "include" axom/slic.hpp "lib" axom_slic)
|
||||
ADD_COMPONENT Axom "include" axom/config.hpp "lib" axom)
|
||||
|
||||
@@ -36,11 +36,7 @@ include(MfemCmakeUtilities)
|
||||
mfem_find_package(Conduit CONDUIT CONDUIT_DIR
|
||||
"include;include/conduit" conduit.hpp "lib" conduit
|
||||
"Paths to headers required by Conduit." "Libraries required by Conduit."
|
||||
ADD_COMPONENT blueprint
|
||||
"include;include/conduit" conduit_blueprint.hpp "lib" conduit_blueprint
|
||||
ADD_COMPONENT blueprint_mpi
|
||||
"include;include/conduit" conduit_blueprint_mpi.hpp "lib" conduit_blueprint_mpi
|
||||
ADD_COMPONENT relay
|
||||
"include;include/conduit" conduit_relay.hpp "lib" conduit_relay
|
||||
ADD_COMPONENT relay_mpi
|
||||
"include;include/conduit" conduit_relay_mpi.hpp "lib" conduit_relay_mpi)
|
||||
ADD_COMPONENT blueprint
|
||||
"include;include/conduit" conduit_blueprint.hpp "lib" conduit_blueprint)
|
||||
|
||||
@@ -1,37 +0,0 @@
|
||||
# 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()
|
||||
@@ -16,22 +16,12 @@
|
||||
# - MUMPS_VERSION
|
||||
|
||||
include(MfemCmakeUtilities)
|
||||
|
||||
# Toggle which precision of MUMPS to use depending on the precision of MFEM.
|
||||
if (MFEM_USE_DOUBLE)
|
||||
set(_mumps_header dmumps_c.h)
|
||||
set(_mumps_lib dmumps)
|
||||
elseif(MFEM_USE_SINGLE)
|
||||
set(_mumps_header smumps_c.h)
|
||||
set(_mumps_lib smumps)
|
||||
endif()
|
||||
|
||||
mfem_find_package(MUMPS MUMPS MUMPS_DIR
|
||||
"include" ${_mumps_header} "lib" ${_mumps_lib}
|
||||
"include" dmumps_c.h "lib" dmumps
|
||||
"Paths to headers required by MUMPS."
|
||||
"Libraries required by MUMPS."
|
||||
ADD_COMPONENT mumps_common "include" ${_mumps_header} "lib" mumps_common
|
||||
ADD_COMPONENT pord "include" ${_mumps_header} "lib" pord)
|
||||
ADD_COMPONENT mumps_common "include" dmumps_c.h "lib" mumps_common
|
||||
ADD_COMPONENT pord "include" dmumps_c.h "lib" pord)
|
||||
|
||||
if (MUMPS_FOUND AND (NOT MUMPS_VERSION))
|
||||
try_run(MUMPS_VERSION_RUN_RESULT MUMPS_VERSION_COMPILE_RESULT
|
||||
|
||||
@@ -31,5 +31,4 @@ mfem_find_package(SUNDIALS SUNDIALS SUNDIALS_DIR
|
||||
ADD_COMPONENT CVODE "include" cvode/cvode.h "lib" sundials_cvode
|
||||
ADD_COMPONENT CVODES "include" cvodes/cvodes.h "lib" sundials_cvodes
|
||||
ADD_COMPONENT ARKODE "include" arkode/arkode.h "lib" sundials_arkode
|
||||
ADD_COMPONENT KINSOL "include" kinsol/kinsol.h "lib" sundials_kinsol
|
||||
ADD_COMPONENT Core "include" sundials/sundials_core.h "lib" sundials_core)
|
||||
ADD_COMPONENT KINSOL "include" kinsol/kinsol.h "lib" sundials_kinsol)
|
||||
|
||||
@@ -1,22 +0,0 @@
|
||||
# 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:
|
||||
# - TRIBOL_FOUND
|
||||
# - TRIBOL_LIBRARIES
|
||||
# - TRIBOL_INCLUDE_DIRS
|
||||
|
||||
include(MfemCmakeUtilities)
|
||||
# Note: components are enabled based on the find_package() parameters.
|
||||
mfem_find_package(Tribol TRIBOL TRIBOL_DIR "include" tribol/config.hpp "lib" tribol
|
||||
"Paths to headers required by Tribol." "Libraries required by Tribol."
|
||||
ADD_COMPONENT redecomp
|
||||
"include" redecomp/redecomp.hpp "lib" redecomp)
|
||||
@@ -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_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)
|
||||
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_MOONOLITH
|
||||
MFEM_USE_ALGOIM MFEM_USE_ENZYME)
|
||||
foreach(var ${CONFIG_MK_BOOL_VARS})
|
||||
if (${var})
|
||||
set(${var} YES)
|
||||
|
||||
@@ -120,15 +120,6 @@ constexpr real_t operator""_r(unsigned long long v)
|
||||
|
||||
// Check dependencies:
|
||||
|
||||
// Define MFEM_MPI_REAL_T to be the appropriate MPI real type
|
||||
#ifdef MFEM_USE_MPI
|
||||
#ifdef MFEM_USE_SINGLE
|
||||
#define MFEM_MPI_REAL_T MPI_FLOAT
|
||||
#elif defined MFEM_USE_DOUBLE
|
||||
#define MFEM_MPI_REAL_T MPI_DOUBLE
|
||||
#endif
|
||||
#endif
|
||||
|
||||
// Options that require MPI
|
||||
#ifndef MFEM_USE_MPI
|
||||
#ifdef MFEM_USE_SUPERLU
|
||||
|
||||
@@ -114,9 +114,6 @@
|
||||
// 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
|
||||
|
||||
|
||||
@@ -38,7 +38,6 @@ 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@
|
||||
@@ -66,7 +65,6 @@ MFEM_USE_ADFORWARD = @MFEM_USE_ADFORWARD@
|
||||
MFEM_USE_CODIPACK = @MFEM_USE_CODIPACK@
|
||||
MFEM_USE_BENCHMARK = @MFEM_USE_BENCHMARK@
|
||||
MFEM_USE_PARELAG = @MFEM_USE_PARELAG@
|
||||
MFEM_USE_TRIBOL = @MFEM_USE_TRIBOL@
|
||||
MFEM_USE_ENZYME = @MFEM_USE_ENZYME@
|
||||
|
||||
# Compiler, compile options, and link options
|
||||
|
||||
+2
-19
@@ -40,7 +40,6 @@ 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)
|
||||
@@ -68,7 +67,6 @@ option(MFEM_USE_ADFORWARD "Enable forward mode for AD" OFF)
|
||||
option(MFEM_USE_CODIPACK "Enable automatic differentiation (AD) using CoDiPack" OFF)
|
||||
option(MFEM_USE_BENCHMARK "Enable Google Benchmark" OFF)
|
||||
option(MFEM_USE_PARELAG "Enable ParELAG" OFF)
|
||||
option(MFEM_USE_TRIBOL "Enable Tribol" OFF)
|
||||
option(MFEM_USE_ENZYME "Enable Enzyme" OFF)
|
||||
|
||||
# Optional overrides for autodetected MPIEXEC and MPIEXEC_NUMPROC_FLAG
|
||||
@@ -184,10 +182,6 @@ 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.")
|
||||
@@ -218,15 +212,8 @@ set(CONDUIT_DIR "${MFEM_DIR}/../conduit" CACHE PATH
|
||||
|
||||
set(AXOM_DIR "${MFEM_DIR}/../axom" CACHE PATH "Path to the Axom library.")
|
||||
# May need to add "Boost" as requirement.
|
||||
if (MFEM_USE_SIDRE)
|
||||
if (MFEM_USE_MPI)
|
||||
set(Axom_REQUIRED_PACKAGES "Conduit/blueprint/blueprint_mpi/relay/relay_mpi" CACHE STRING
|
||||
"Additional packages required by Axom.")
|
||||
elseif()
|
||||
set(Axom_REQUIRED_PACKAGES "Conduit/blueprint/relay" CACHE STRING
|
||||
"Additional packages required by Axom.")
|
||||
endif()
|
||||
endif()
|
||||
set(Axom_REQUIRED_PACKAGES "Conduit/relay/blueprint" CACHE STRING
|
||||
"Additional packages required by Axom.")
|
||||
|
||||
set(PUMI_DIR "${MFEM_DIR}/../pumi-2.1.0" CACHE STRING
|
||||
"Directory where PUMI is installed")
|
||||
@@ -263,10 +250,6 @@ set(PARELAG_INCLUDE_DIRS "${PARELAG_DIR}/src;${PARELAG_DIR}/build/src" CACHE
|
||||
set(PARELAG_LIBRARIES "${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
|
||||
"Additional packages required by Tribol")
|
||||
|
||||
set(BLAS_INCLUDE_DIRS "" CACHE STRING "Path to BLAS headers.")
|
||||
set(BLAS_LIBRARIES "" CACHE STRING "The BLAS library.")
|
||||
set(LAPACK_INCLUDE_DIRS "" CACHE STRING "Path to LAPACK headers.")
|
||||
|
||||
+6
-48
@@ -95,10 +95,6 @@ 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,$(shell ld -v 2>&1)))
|
||||
LDFLAGS_INTERNAL = -Xlinker -no_warn_duplicate_libraries
|
||||
endif
|
||||
endif
|
||||
|
||||
# Set CXXFLAGS to overwrite the default selection of DEBUG_FLAGS/OPTIM_FLAGS
|
||||
@@ -143,7 +139,6 @@ MFEM_USE_MUMPS = NO
|
||||
MFEM_USE_STRUMPACK = NO
|
||||
MFEM_USE_GINKGO = NO
|
||||
MFEM_USE_AMGX = NO
|
||||
MFEM_USE_MAGMA = NO
|
||||
MFEM_USE_GNUTLS = NO
|
||||
MFEM_USE_NETCDF = NO
|
||||
MFEM_USE_PETSC = NO
|
||||
@@ -172,21 +167,8 @@ MFEM_USE_ADFORWARD = NO
|
||||
MFEM_USE_CODIPACK = NO
|
||||
MFEM_USE_BENCHMARK = NO
|
||||
MFEM_USE_PARELAG = NO
|
||||
MFEM_USE_TRIBOL = NO
|
||||
MFEM_USE_ENZYME = NO
|
||||
|
||||
# Process MFEM_PRECISION -> MFEM_USE_SINGLE, MFEM_USE_DOUBLE
|
||||
ifneq ($(filter double Double DOUBLE,$(MFEM_PRECISION)),)
|
||||
MFEM_USE_DOUBLE = YES
|
||||
MFEM_USE_SINGLE = NO
|
||||
else ifneq ($(filter single Single SINGLE,$(MFEM_PRECISION)),)
|
||||
MFEM_USE_DOUBLE = NO
|
||||
MFEM_USE_SINGLE = YES
|
||||
else ifeq ($(MAKECMDGOALS),config)
|
||||
$(error Invalid floating-point precision: \
|
||||
MFEM_PRECISION = $(MFEM_PRECISION))
|
||||
endif
|
||||
|
||||
# MPI library compile and link flags
|
||||
# These settings are used only when building MFEM with MPI + HIP
|
||||
ifeq ($(MFEM_USE_MPI)$(MFEM_USE_HIP),YESYES)
|
||||
@@ -289,13 +271,6 @@ endif
|
||||
ifeq ($(MFEM_USE_HIP),YES)
|
||||
SUNDIALS_LIB += -lsundials_nvechip
|
||||
endif
|
||||
SUNDIALS_CORE_PAT = $(subst\
|
||||
@MFEM_DIR@,$(MFEM_DIR),$(SUNDIALS_DIR))/lib*/libsundials_core.*
|
||||
ifeq ($(MFEM_USE_SUNDIALS),YES)
|
||||
ifneq ($(wildcard $(SUNDIALS_CORE_PAT)),)
|
||||
SUNDIALS_LIB += -lsundials_core
|
||||
endif
|
||||
endif
|
||||
# If SUNDIALS was built with KLU:
|
||||
# MFEM_USE_SUITESPARSE = YES
|
||||
|
||||
@@ -343,13 +318,13 @@ MPI_FORTRAN_LIB = -lmpifort
|
||||
# MUMPS library configuration
|
||||
MUMPS_DIR = @MFEM_DIR@/../MUMPS_5.5.0
|
||||
MUMPS_OPT = -I$(MUMPS_DIR)/include
|
||||
MUMPS_LIB = $(XLINKER)-rpath,$(MUMPS_DIR)/lib -L$(MUMPS_DIR)/lib
|
||||
MUMPS_LIB = $(XLINKER)-rpath,$(MUMPS_DIR)/lib -L$(MUMPS_DIR)/lib \
|
||||
-lmumps_common -lpord $(SCALAPACK_LIB) $(LAPACK_LIB) $(MPI_FORTRAN_LIB)
|
||||
ifeq ($(MFEM_USE_SINGLE),YES)
|
||||
MUMPS_LIB += -lsmumps
|
||||
else
|
||||
MUMPS_LIB += -ldmumps
|
||||
endif
|
||||
MUMPS_LIB += -lmumps_common -lpord $(SCALAPACK_LIB) $(LAPACK_LIB) $(MPI_FORTRAN_LIB)
|
||||
|
||||
# STRUMPACK library configuration
|
||||
STRUMPACK_DIR = @MFEM_DIR@/../STRUMPACK-build
|
||||
@@ -400,12 +375,7 @@ GINKGO_LIB = $(XLINKER)-rpath,$(GINKGO_LINK_LIB_DIR) -L$(GINKGO_LINK_LIB_DIR)\
|
||||
# AmgX library configuration
|
||||
AMGX_DIR = @MFEM_DIR@/../amgx
|
||||
AMGX_OPT = -I$(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 $(LAPACK_LIB)
|
||||
AMGX_LIB = -lcusparse -lcusolver -lcublas -lnvToolsExt -L$(AMGX_DIR)/lib -lamgx
|
||||
|
||||
# GnuTLS library configuration
|
||||
GNUTLS_OPT =
|
||||
@@ -514,11 +484,11 @@ GSLIB_LIB = -L$(GSLIB_DIR)/lib -lgs
|
||||
|
||||
# CUDA library configuration
|
||||
CUDA_OPT =
|
||||
CUDA_LIB = -lcusparse -lcublas
|
||||
CUDA_LIB = -lcusparse
|
||||
|
||||
# HIP library configuration
|
||||
HIP_OPT =
|
||||
HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse -lhipblas
|
||||
HIP_LIB = -L$(HIP_DIR)/lib $(XLINKER)-rpath,$(HIP_DIR)/lib -lhipsparse
|
||||
|
||||
# OCCA library configuration
|
||||
OCCA_DIR = @MFEM_DIR@/../occa
|
||||
@@ -540,10 +510,8 @@ ifdef GOTCHA_DIR
|
||||
endif
|
||||
|
||||
# BLITZ library configuration
|
||||
# BLITZ_DIR must be the custom installation folder (-DCMAKE_INSTALL_PREFIX).
|
||||
BLITZ_DIR = @MFEM_DIR@/../blitz/install
|
||||
BLITZ_DIR = @MFEM_DIR@/../blitz
|
||||
BLITZ_OPT = -I$(BLITZ_DIR)/include
|
||||
# On intel machines, use /lib64 instead of /lib.
|
||||
BLITZ_LIB = $(XLINKER)-rpath,$(BLITZ_DIR)/lib -L$(BLITZ_DIR)/lib -lblitz
|
||||
|
||||
# ALGOIM library configuration
|
||||
@@ -608,16 +576,6 @@ PARELAG_DIR = @MFEM_DIR@/../parelag
|
||||
PARELAG_OPT = -I$(PARELAG_DIR)/src -I$(PARELAG_DIR)/build/src
|
||||
PARELAG_LIB = -L$(PARELAG_DIR)/build/src -lParELAG
|
||||
|
||||
# Tribol library configuration
|
||||
ifeq ($(MFEM_USE_TRIBOL),YES)
|
||||
BASE_FLAGS = -std=c++14
|
||||
endif
|
||||
AXOM_DIR = @MFEM_DIR@/../axom
|
||||
TRIBOL_DIR = @MFEM_DIR@/../tribol
|
||||
TRIBOL_OPT = -I$(TRIBOL_DIR)/include -I$(AXOM_DIR)/include
|
||||
TRIBOL_LIB = -L$(TRIBOL_DIR)/lib -ltribol -lredecomp -L$(AXOM_DIR)/lib -laxom_mint\
|
||||
-laxom_slam -laxom_slic -laxom_core
|
||||
|
||||
# Enzyme configuration
|
||||
|
||||
# If you want to enable automatic differentiation at compile time, use the
|
||||
|
||||
+1
-1
@@ -110,4 +110,4 @@ config-mk:
|
||||
|
||||
clean:
|
||||
rm -f $(CONFIG_HPP) $(CONFIG_MK) sample-runs-build.log
|
||||
rm -f $(GHV) $(GHV).out $(GMV) $(GMV).out *.dSYM
|
||||
rm -f $(GHV) $(GHV).out $(GMV) $(GMV).out
|
||||
|
||||
+13
-83
@@ -32,7 +32,7 @@ groups_serial=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex{,[1-9]}[0-9].cpp"'
|
||||
"ex{,1,2,3}[0-9].cpp"'
|
||||
# "ex1.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
@@ -58,10 +58,6 @@ groups_serial=(
|
||||
"HiOp examples:"
|
||||
"examples/hiop"
|
||||
"ex9.cpp"'
|
||||
'"moonolith"
|
||||
"Moonolith examples:"
|
||||
"examples/moonolith"
|
||||
"ex1.cpp"'
|
||||
'"pumi"
|
||||
"PUMI examples:"
|
||||
"examples/pumi"
|
||||
@@ -70,38 +66,25 @@ groups_serial=(
|
||||
'"meshing"
|
||||
"Meshing miniapps:"
|
||||
"miniapps/meshing"
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp mesh-quality.cpp
|
||||
polar-nc.cpp reflector.cpp shaper.cpp trimmer.cpp twist.cpp
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp
|
||||
mesh-optimizer.cpp minimal-surface.cpp"'
|
||||
'"adjoint"
|
||||
"Adjoint miniapps:"
|
||||
"miniapps/adjoint"
|
||||
"cvsRoberts_ASAi_dns.cpp"'
|
||||
'"autodiff"
|
||||
"Autodiff miniapps:"
|
||||
"miniapps/autodiff"
|
||||
"seq_example.cpp seq_test.cpp"' # 'seq_test.cpp' has no sample runs
|
||||
'"dpg"
|
||||
"DPG miniapps:"
|
||||
"miniapps/dpg"
|
||||
"{acoustics,convection-diffusion,diffusion,maxwell}.cpp"'
|
||||
'"gslib"
|
||||
"GSLIB miniapps:"
|
||||
"miniapps/gslib"
|
||||
"field-diff.cpp field-interp.cpp findpts.cpp schwarz_ex1.cpp "'
|
||||
# todo: miniapps/mtop
|
||||
'"nurbs"
|
||||
"NURBS miniapps:"
|
||||
"miniapps/nurbs"
|
||||
"nurbs_ex1.cpp"'
|
||||
# todo: add other nurbs miniapps
|
||||
# todo: miniapps/solvers (serial)
|
||||
'"tools"
|
||||
"Tools miniapps:"
|
||||
"miniapps/tools"
|
||||
"convert-dc.cpp display-basis.cpp get-values.cpp load-dc.cpp
|
||||
lor-transfer.cpp"'
|
||||
# todo: add other tools miniapps
|
||||
'"toys"
|
||||
"Toys miniapps:"
|
||||
"miniapps/toys"
|
||||
@@ -117,7 +100,7 @@ groups_parallel=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex{,[1-9]}[0-9]p.cpp"'
|
||||
"ex{,1,2,3}[0-9]p.cpp"'
|
||||
# "ex1p.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
@@ -143,10 +126,6 @@ groups_parallel=(
|
||||
"HiOp examples:"
|
||||
"examples/hiop"
|
||||
"ex9p.cpp"'
|
||||
'"moonolith"
|
||||
"Moonolith examples:"
|
||||
"examples/moonolith"
|
||||
"ex{1,2}p.cpp"'
|
||||
'"pumi"
|
||||
"PUMI examples:"
|
||||
"examples/pumi"
|
||||
@@ -159,41 +138,24 @@ groups_parallel=(
|
||||
'"meshing"
|
||||
"Meshing miniapps:"
|
||||
"miniapps/meshing"
|
||||
"pmesh-optimizer.cpp pmesh-fitting.cpp pminimal-surface.cpp
|
||||
fit-node-position.cpp"'
|
||||
"pmesh-optimizer.cpp pmesh-fitting.cpp pminimal-surface.cpp"'
|
||||
'"electromagnetics"
|
||||
"Electromagnetics miniapps:"
|
||||
"miniapps/electromagnetics"
|
||||
"joule.cpp"'
|
||||
# "{joule,maxwell,tesla,volta}.cpp"' # todo: multiline sample runs
|
||||
# "{volta,tesla,joule}.cpp"' # todo: multiline sample runs
|
||||
'"adjoint"
|
||||
"Adjoint miniapps:"
|
||||
"miniapps/adjoint"
|
||||
"adjoint_advection_diffusion.cpp"'
|
||||
'"autodiff"
|
||||
"Autodiff miniapps:"
|
||||
"miniapps/autodiff"
|
||||
"par_example.cpp"'
|
||||
'"dpg"
|
||||
"DPG miniapps:"
|
||||
"miniapps/dpg"
|
||||
"p{acoustics,convection-diffusion,diffusion,maxwell}.cpp"'
|
||||
'"gslib"
|
||||
"GSLIB miniapps:"
|
||||
"miniapps/gslib"
|
||||
"pfindpts.cpp schwarz_ex1p.cpp"'
|
||||
'"hdiv-linear-solver"
|
||||
"H(div) linear solver miniapps:"
|
||||
"miniapps/hdiv-linear-solver"
|
||||
"grad_div.cpp darcy.cpp"'
|
||||
# 'miniapps/hooke/hooke.cpp' has no sample runs
|
||||
# todo: miniapps/mtop
|
||||
# todo: miniapps/multidomain
|
||||
'"navier"
|
||||
"Navier miniapps:"
|
||||
"miniapps/navier"
|
||||
"navier_cht.cpp"'
|
||||
# todo: add other navier miniapps
|
||||
'"nurbs"
|
||||
"NURBS miniapps:"
|
||||
"miniapps/nurbs"
|
||||
@@ -202,18 +164,14 @@ groups_parallel=(
|
||||
"Shifted miniapps:"
|
||||
"miniapps/shifted"
|
||||
"distance.cpp"'
|
||||
# todo: add other shifted miniapps
|
||||
'"solvers"
|
||||
"Solvers miniapps:"
|
||||
"miniapps/solvers"
|
||||
"block-solvers.cpp"'
|
||||
# todo: add other solvers miniapps
|
||||
# todo: miniapps/spde
|
||||
'"tools"
|
||||
"Tools miniapps:"
|
||||
"miniapps/tools"
|
||||
"convert-dc.cpp get-values.cpp load-dc.cpp"'
|
||||
# todo: add other tools miniapps
|
||||
"convert-cd.cpp get-values.cpp load-dc.cpp"'
|
||||
'"convergence"
|
||||
"Convergence tests:"
|
||||
"tests/convergence"
|
||||
@@ -228,7 +186,7 @@ groups_all=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex\"{,[1-9]}[0-9]\"{,p}.cpp"'
|
||||
"ex\"{,1,2,3}[0-9]\"{,p}.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
"examples/sundials"
|
||||
@@ -257,14 +215,10 @@ groups_all=(
|
||||
"HiOp examples:"
|
||||
"examples/hiop"
|
||||
"ex9.cpp ex9p.cpp"'
|
||||
'"moonolith"
|
||||
"Moonolith examples:"
|
||||
"examples/moonolith"
|
||||
"ex1.cpp ex{1,2}p.cpp"'
|
||||
'"pumi"
|
||||
"PUMI examples:"
|
||||
"examples/pumi"
|
||||
"ex1.cpp ex2.cpp ex1p.cpp ex6p.cpp"'
|
||||
"ex1.cpp ex1p.cpp ex2.cpp ex6p.cpp"'
|
||||
'"superlu"
|
||||
"Superlu examples:"
|
||||
"examples/superlu"
|
||||
@@ -272,67 +226,43 @@ groups_all=(
|
||||
'"meshing"
|
||||
"Meshing miniapps:"
|
||||
"miniapps/meshing"
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp mesh-quality.cpp
|
||||
polar-nc.cpp reflector.cpp shaper.cpp trimmer.cpp twist.cpp
|
||||
{,p}mesh-optimizer.cpp pmesh-fitting.cpp {,p}minimal-surface.cpp
|
||||
fit-node-position.cpp"'
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp
|
||||
{,p}mesh-optimizer.cpp pmesh-fitting.cpp {,p}minimal-surface.cpp"'
|
||||
'"electromagnetics"
|
||||
"Electromagnetics miniapps:"
|
||||
"miniapps/electromagnetics"
|
||||
"joule.cpp"'
|
||||
# "{joule,maxwell,tesla,volta}.cpp"' # todo: multiline sample runs
|
||||
# "{volta,tesla,joule}.cpp"' # todo: multiline sample runs
|
||||
'"adjoint"
|
||||
"Adjoint miniapps:"
|
||||
"miniapps/adjoint"
|
||||
"cvsRoberts_ASAi_dns.cpp adjoint_advection_diffusion.cpp"'
|
||||
'"autodiff"
|
||||
"Autodiff miniapps:"
|
||||
"miniapps/autodiff"
|
||||
"seq_example.cpp seq_test.cpp par_example.cpp"'
|
||||
# 'seq_test.cpp' has no sample runs
|
||||
'"dpg"
|
||||
"DPG miniapps:"
|
||||
"miniapps/dpg"
|
||||
"{,p}{acoustics,convection-diffusion,diffusion,maxwell}.cpp"'
|
||||
"adjoint_advection_diffusion.cpp cvsRoberts_ASAi_dns.cpp"'
|
||||
'"gslib"
|
||||
"GSLIB miniapps:"
|
||||
"miniapps/gslib"
|
||||
"field-diff.cpp field-interp.cpp findpts.cpp schwarz_ex1.cpp pfindpts.cpp
|
||||
schwarz_ex1p.cpp"'
|
||||
'"hdiv-linear-solver"
|
||||
"H(div) linear solver miniapps:"
|
||||
"miniapps/hdiv-linear-solver"
|
||||
"grad_div.cpp darcy.cpp"'
|
||||
# 'miniapps/hooke/hooke.cpp' has no sample runs
|
||||
# todo: miniapps/mtop
|
||||
# todo: miniapps/multidomain
|
||||
'"navier"
|
||||
"Navier miniapps:"
|
||||
"miniapps/navier"
|
||||
"navier_cht.cpp"'
|
||||
# todo: add other navier miniapps
|
||||
'"nurbs"
|
||||
"NURBS miniapps:"
|
||||
"miniapps/nurbs"
|
||||
"nurbs_ex1.cpp nurbs_ex1p.cpp nurbs_ex11p.cpp"'
|
||||
# todo: add other nurbs miniapps
|
||||
'"shifted"
|
||||
"Shifted miniapps:"
|
||||
"miniapps/shifted"
|
||||
"distance.cpp"'
|
||||
# todo: add other shifted miniapps
|
||||
'"solvers"
|
||||
"Solvers miniapps:"
|
||||
"miniapps/solvers"
|
||||
"block-solvers.cpp"'
|
||||
# todo: add other solvers miniapps
|
||||
# todo: miniapps/spde
|
||||
'"tools"
|
||||
"Tools miniapps:"
|
||||
"miniapps/tools"
|
||||
"convert-dc.cpp display-basis.cpp get-values.cpp load-dc.cpp
|
||||
lor-transfer.cpp"'
|
||||
# todo: add other tools miniapps
|
||||
'"toys"
|
||||
"Toys miniapps:"
|
||||
"miniapps/toys"
|
||||
@@ -456,7 +386,7 @@ function help_message()
|
||||
mfem_config [${mfem_config}]
|
||||
Set MFEM configuration options
|
||||
make [${make}], mpiexec [${mpiexec}], mpiexec_np [${mpiexec_np}]
|
||||
Their values can also be set using the respective uppercase environment
|
||||
Their values can also set using the respective uppercase environment
|
||||
variable
|
||||
mfem_build_dir [${mfem_build_dir}]
|
||||
Same as '-d': set this variable to something different from <mfem_dir>
|
||||
|
||||
@@ -92,5 +92,4 @@ vertices
|
||||
-0.70710678 -0.70710678
|
||||
0 -1
|
||||
0.70710678 -0.70710678
|
||||
|
||||
mfem_mesh_end
|
||||
|
||||
@@ -18,9 +18,9 @@ elements
|
||||
boundary
|
||||
4
|
||||
1 1 0 1
|
||||
2 1 2 3
|
||||
3 1 3 0
|
||||
4 1 1 2
|
||||
1 1 2 3
|
||||
1 1 3 0
|
||||
1 1 1 2
|
||||
|
||||
edges
|
||||
4
|
||||
|
||||
@@ -48,7 +48,7 @@ PROJECT_NAME = MFEM
|
||||
# could be handy for archiving the generated documentation or if some version
|
||||
# control system is used.
|
||||
|
||||
PROJECT_NUMBER = v4.7.1
|
||||
PROJECT_NUMBER = v4.6.1
|
||||
|
||||
# Using the PROJECT_BRIEF tag one can provide an optional one line description
|
||||
# for a project that appears at the top of each page and should give viewer a
|
||||
@@ -938,7 +938,6 @@ 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 \
|
||||
@@ -988,7 +987,6 @@ INPUT = @MFEM_SOURCE_DIR@/doc/CodeDocumentation.dox \
|
||||
@MFEM_SOURCE_DIR@/miniapps/solvers \
|
||||
@MFEM_SOURCE_DIR@/miniapps/tools \
|
||||
@MFEM_SOURCE_DIR@/miniapps/toys \
|
||||
@MFEM_SOURCE_DIR@/miniapps/tribol \
|
||||
@MFEM_SOURCE_DIR@/miniapps/spde \
|
||||
@MFEM_SOURCE_DIR@/miniapps/dpg \
|
||||
@MFEM_SOURCE_DIR@/miniapps/dpg/util
|
||||
@@ -1050,8 +1048,7 @@ RECURSIVE = NO
|
||||
EXCLUDE = @MFEM_SOURCE_DIR@/config/_config.hpp \
|
||||
@MFEM_SOURCE_DIR@/config/get_hypre_version.cpp \
|
||||
@MFEM_SOURCE_DIR@/general/tinyxml2.h \
|
||||
@MFEM_SOURCE_DIR@/general/tinyxml2.cpp \
|
||||
@MFEM_SOURCE_DIR@/linalg/lapack.hpp
|
||||
@MFEM_SOURCE_DIR@/general/tinyxml2.cpp
|
||||
|
||||
# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or
|
||||
# directories that are symbolic links (a Unix file system feature) are excluded
|
||||
|
||||
@@ -110,13 +110,9 @@ namespace mfem {
|
||||
* - <a class="el" href="ex35p_8cpp_source.html">Example 35p</a>: parallel multi-domain damped harmonic oscillators
|
||||
* - <a class="el" href="ex36_8cpp_source.html">Example 36</a>: Proximal Galerkin FEM for the obstacle problem
|
||||
* - <a class="el" href="ex36p_8cpp_source.html">Example 36p</a>: parallel Proximal Galerkin FEM for the obstacle problem
|
||||
* - <a class="el" href="ex37_8cpp_source.html">Example 37</a>: topology optimization
|
||||
* - <a class="el" href="ex37_8cpp_source.html">Example 37</a>: Topology optimization
|
||||
* - <a class="el" href="ex37p_8cpp_source.html">Example 37p</a>: parallel topology optimization
|
||||
* - <a class="el" href="ex38_8cpp_source.html">Example 38</a>: cut-surface and cut-volume integration
|
||||
* - <a class="el" href="ex39_8cpp_source.html">Example 39</a>: named mesh attributes
|
||||
* - <a class="el" href="ex39p_8cpp_source.html">Example 39p</a>: parallel named mesh attributes
|
||||
* - <a class="el" href="ex40_8cpp_source.html">Example 40</a>: eikonal equation
|
||||
* - <a class="el" href="ex40p_8cpp_source.html">Example 40p</a>: parallel eikonal equation
|
||||
*
|
||||
* <H4>AmgX Examples</H4>
|
||||
* - Variants of Examples
|
||||
@@ -182,21 +178,6 @@ namespace mfem {
|
||||
* <a class="el" href="examples_2superlu_2ex1p_8cpp_source.html">1p</a>,
|
||||
* demonstrating the use of MFEM's \link superlu.hpp SuperLU integration\endlink.
|
||||
*
|
||||
* <H4>NURBS Examples</H4>
|
||||
* - Variants of Examples
|
||||
* <a class="el" href="nurbs__ex1_8cpp_source.html">1</a>,
|
||||
* <a class="el" href="nurbs__ex1p_8cpp_source.html">1p</a>,
|
||||
* <a class="el" href="nurbs__ex3_8cpp_source.html">3</a>,
|
||||
* <a class="el" href="nurbs__ex5_8cpp_source.html">5</a>,
|
||||
* <a class="el" href="nurbs__ex11p_8cpp_source.html">11p</a>, and
|
||||
* <a class="el" href="nurbs__ex24_8cpp_source.html">24</a>,
|
||||
* demonstrating howto perform NURBS-based Isogeometric Analysis.
|
||||
* - Variant of Example <a class="el" href="nurbs__patch__ex1_8cpp_source.html">1</a>: demonstrates the use of patch integration
|
||||
* - <a class="el" href="nurbs__solenoidal_8cpp_source.html">NURBS Divergence-free</a>: solve a solenoidal vector projection with NURBS-based H(div) elements
|
||||
* - <a class="el" href="nurbs__curveint_8cpp_source.html">NURBS Interpolation</a>: NURBS interpolation of given geometry
|
||||
* - <a class="el" href="nurbs__naca__cmesh_8cpp_source.html">NURBS NACA Mesher</a>: generate NURBS based mesh around a NACA foil
|
||||
* - <a class="el" href="nurbs__printfunc_8cpp_source.html">NURBS Printer</a>: print the NURBS-basis
|
||||
*
|
||||
* <H3>Miniapps</H3>
|
||||
* - <a class="el" href="volta_8cpp_source.html">Volta</a>: simple electrostatics simulation code
|
||||
* - <a class="el" href="tesla_8cpp_source.html">Tesla</a>: simple magnetostatics simulation code
|
||||
@@ -233,8 +214,6 @@ namespace mfem {
|
||||
* - <a class="el" href="miniapps_2performance_2ex1_8cpp_source.html">HPC Example 1</a>: high-performance nodal H1 FEM for the Laplace problem
|
||||
* - <a class="el" href="miniapps_2performance_2ex1p_8cpp_source.html">HPC Example 1p</a>: high-performance parallel nodal H1 FEM for the Laplace problem
|
||||
* - <a class="el" href="generate__random__field_8cpp_source.html">SPDE Solvers</a>: SPDE solver random field generation
|
||||
* - <a class="el" href="contact-patch-test_8cpp_source.html">Contact</a>: mortar contact patch test for elasticity
|
||||
* - <a class="el" href="multidomain_8cpp_source.html">Multidomain miniapp</a>: Multidomain and Submesh demonstration miniapp
|
||||
* - <a class="el" href="pdiffusion_8cpp_source.html">DPG Diffusion example</a>: DPG formulation for the diffusion problem
|
||||
* - <a class="el" href="pmaxwell_8cpp_source.html">DPG Maxwell example</a>: DPG formulation for the indefinite Maxwell problem
|
||||
* - <a class="el" href="lor__elast_8cpp_source.html">LOR Elasticity</a>: solve linear elasticity with LOR preconditioning on GPUs
|
||||
|
||||
@@ -46,7 +46,7 @@ class DoxygenAwesomeDarkModeToggle extends HTMLElement {
|
||||
DoxygenAwesomeDarkModeToggle.onSystemPreferenceChanged()
|
||||
})
|
||||
// Update the color scheme when the tab is made visible again.
|
||||
// It is possible that the appearance was changed in another tab
|
||||
// It is possible that the appearance was changed in another tab
|
||||
// while this tab was in the background.
|
||||
document.addEventListener("visibilitychange", visibilityState => {
|
||||
if (document.visibilityState === 'visible') {
|
||||
@@ -97,7 +97,7 @@ class DoxygenAwesomeDarkModeToggle extends HTMLElement {
|
||||
* @returns `true` for dark-mode, `false` for light-mode user preference
|
||||
*/
|
||||
static get userPreference() {
|
||||
return (!DoxygenAwesomeDarkModeToggle.systemPreference && localStorage.getItem(DoxygenAwesomeDarkModeToggle.prefersDarkModeInLightModeKey)) ||
|
||||
return (!DoxygenAwesomeDarkModeToggle.systemPreference && localStorage.getItem(DoxygenAwesomeDarkModeToggle.prefersDarkModeInLightModeKey)) ||
|
||||
(DoxygenAwesomeDarkModeToggle.systemPreference && !localStorage.getItem(DoxygenAwesomeDarkModeToggle.prefersLightModeInDarkModeKey))
|
||||
}
|
||||
|
||||
|
||||
@@ -148,10 +148,10 @@ if (MFEM_ENABLE_TESTING)
|
||||
# Add CUDA/HIP tests.
|
||||
set(DEVICE_EXAMPLES
|
||||
# serial examples with device support:
|
||||
ex1 ex3 ex4 ex5 ex6 ex9 ex14 ex22 ex24 ex25 ex26 ex34
|
||||
ex1 ex3 ex4 ex5 ex6 ex9 ex22 ex24 ex25 ex26 ex34
|
||||
# parallel examples with device support:
|
||||
ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex9p ex13p ex14p ex22p ex24p ex25p
|
||||
ex26p ex34p ex35p)
|
||||
ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex9p ex13p ex22p ex24p ex25p ex26p
|
||||
ex34p ex35p)
|
||||
set(MFEM_TEST_DEVICE)
|
||||
if (MFEM_USE_CUDA)
|
||||
set(MFEM_TEST_DEVICE "cuda")
|
||||
@@ -161,11 +161,6 @@ if (MFEM_ENABLE_TESTING)
|
||||
if (MFEM_TEST_DEVICE)
|
||||
foreach(TEST_NAME ${DEVICE_EXAMPLES})
|
||||
set(THIS_TEST_OPTIONS "-no-vis" "-d" "${MFEM_TEST_DEVICE}")
|
||||
if (${TEST_NAME} MATCHES "ex14p")
|
||||
list(APPEND THIS_TEST_OPTIONS "-rs" "2" "-rp" "0" "-pa")
|
||||
elseif (${TEST_NAME} MATCHES "ex14")
|
||||
list(APPEND THIS_TEST_OPTIONS "-r" "2" "-pa")
|
||||
endif()
|
||||
if (NOT (${TEST_NAME} MATCHES ".*p$"))
|
||||
add_test(NAME ${TEST_NAME}_${MFEM_TEST_DEVICE}_ser
|
||||
COMMAND ${TEST_NAME} ${THIS_TEST_OPTIONS})
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/amgx/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/caliper,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
+45
-19
@@ -3,14 +3,14 @@
|
||||
// Compile with: make ex10
|
||||
//
|
||||
// Sample runs:
|
||||
// ex10 -m ../data/beam-quad.mesh -s 23 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-tri.mesh -s 23 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-hex.mesh -s 22 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-tet.mesh -s 22 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-wedge.mesh -s 22 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-quad.mesh -s 4 -r 2 -o 2 -dt 0.03 -vs 20
|
||||
// ex10 -m ../data/beam-hex.mesh -s 4 -r 1 -o 2 -dt 0.05 -vs 20
|
||||
// ex10 -m ../data/beam-quad-amr.mesh -s 23 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-quad.mesh -s 3 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-tri.mesh -s 3 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-hex.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-tet.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-wedge.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-quad.mesh -s 14 -r 2 -o 2 -dt 0.03 -vs 20
|
||||
// ex10 -m ../data/beam-hex.mesh -s 14 -r 1 -o 2 -dt 0.05 -vs 20
|
||||
// ex10 -m ../data/beam-quad-amr.mesh -s 3 -r 2 -o 2 -dt 3
|
||||
//
|
||||
// Description: This examples solves a time dependent nonlinear elasticity
|
||||
// problem of the form dv/dt = H(x) + S v, dx/dt = v, where H is a
|
||||
@@ -87,16 +87,16 @@ public:
|
||||
real_t visc, real_t mu, real_t K);
|
||||
|
||||
/// Compute the right-hand side of the ODE system.
|
||||
void Mult(const Vector &vx, Vector &dvx_dt) const override;
|
||||
virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
|
||||
/** 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.*/
|
||||
void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
|
||||
|
||||
real_t ElasticEnergy(const Vector &x) const;
|
||||
real_t KineticEnergy(const Vector &v) const;
|
||||
void GetElasticEnergyDensity(const GridFunction &x, GridFunction &w) const;
|
||||
|
||||
~HyperelasticOperator() override;
|
||||
virtual ~HyperelasticOperator();
|
||||
};
|
||||
|
||||
/** 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).
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
|
||||
/// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
|
||||
Operator &GetGradient(const Vector &k) const override;
|
||||
virtual Operator &GetGradient(const Vector &k) const;
|
||||
|
||||
~ReducedSystemOperator() override;
|
||||
virtual ~ReducedSystemOperator();
|
||||
};
|
||||
|
||||
|
||||
@@ -141,8 +141,8 @@ private:
|
||||
public:
|
||||
ElasticEnergyCoefficient(HyperelasticModel &m, const GridFunction &x_)
|
||||
: model(m), x(x_) { }
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
~ElasticEnergyCoefficient() override { }
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
virtual ~ElasticEnergyCoefficient() { }
|
||||
};
|
||||
|
||||
void InitialDeformation(const Vector &x, Vector &y);
|
||||
@@ -160,7 +160,7 @@ int main(int argc, char *argv[])
|
||||
const char *mesh_file = "../data/beam-quad.mesh";
|
||||
int ref_levels = 2;
|
||||
int order = 2;
|
||||
int ode_solver_type = 23;
|
||||
int ode_solver_type = 3;
|
||||
real_t t_final = 300.0;
|
||||
real_t dt = 3.0;
|
||||
real_t visc = 1e-2;
|
||||
@@ -177,7 +177,11 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
|
||||
" 11 - Forward Euler, 12 - RK2,\n\t"
|
||||
" 13 - RK3 SSP, 14 - RK4."
|
||||
" 22 - Implicit Midpoint Method,\n\t"
|
||||
" 23 - SDIRK23 (A-stable), 24 - SDIRK34");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -209,7 +213,28 @@ int main(int argc, char *argv[])
|
||||
// 3. 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.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Implicit L-stable methods
|
||||
case 1: ode_solver = new BackwardEulerSolver; break;
|
||||
case 2: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 3: ode_solver = new SDIRK33Solver; break;
|
||||
// Explicit methods
|
||||
case 11: ode_solver = new ForwardEulerSolver; break;
|
||||
case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 13: ode_solver = new RK3SSPSolver; break;
|
||||
case 14: ode_solver = new RK4Solver; break;
|
||||
case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Refine the mesh to increase the resolution. In this example we do
|
||||
// 'ref_levels' of uniform refinement, where 'ref_levels' is a
|
||||
@@ -346,6 +371,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 10. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete mesh;
|
||||
|
||||
return 0;
|
||||
|
||||
+52
-20
@@ -3,14 +3,14 @@
|
||||
// Compile with: make ex10p
|
||||
//
|
||||
// Sample runs:
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 23 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tri.mesh -s 23 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 22 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tet.mesh -s 22 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-wedge.mesh -s 22 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 4 -rs 2 -dt 0.03 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 4 -rs 1 -dt 0.05 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad-amr.mesh -s 23 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 3 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tri.mesh -s 3 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tet.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-wedge.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 14 -rs 2 -dt 0.03 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 14 -rs 1 -dt 0.05 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad-amr.mesh -s 3 -rs 2 -dt 3
|
||||
//
|
||||
// Description: This examples solves a time dependent nonlinear elasticity
|
||||
// problem of the form dv/dt = H(x) + S v, dx/dt = v, where H is a
|
||||
@@ -89,17 +89,17 @@ public:
|
||||
real_t visc, real_t mu, real_t K);
|
||||
|
||||
/// Compute the right-hand side of the ODE system.
|
||||
void Mult(const Vector &vx, Vector &dvx_dt) const override;
|
||||
virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
|
||||
/** 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.*/
|
||||
void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
|
||||
|
||||
real_t ElasticEnergy(const ParGridFunction &x) const;
|
||||
real_t KineticEnergy(const ParGridFunction &v) const;
|
||||
void GetElasticEnergyDensity(const ParGridFunction &x,
|
||||
ParGridFunction &w) const;
|
||||
|
||||
~HyperelasticOperator() override;
|
||||
virtual ~HyperelasticOperator();
|
||||
};
|
||||
|
||||
/** 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).
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
|
||||
/// Compute J = M + dt S + dt^2 grad_H(x + dt (v + dt k)).
|
||||
Operator &GetGradient(const Vector &k) const override;
|
||||
virtual Operator &GetGradient(const Vector &k) const;
|
||||
|
||||
~ReducedSystemOperator() override;
|
||||
virtual ~ReducedSystemOperator();
|
||||
};
|
||||
|
||||
|
||||
@@ -146,8 +146,8 @@ private:
|
||||
public:
|
||||
ElasticEnergyCoefficient(HyperelasticModel &m, const ParGridFunction &x_)
|
||||
: model(m), x(x_) { }
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
~ElasticEnergyCoefficient() override { }
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
virtual ~ElasticEnergyCoefficient() { }
|
||||
};
|
||||
|
||||
void InitialDeformation(const Vector &x, Vector &y);
|
||||
@@ -172,7 +172,7 @@ int main(int argc, char *argv[])
|
||||
int ser_ref_levels = 2;
|
||||
int par_ref_levels = 0;
|
||||
int order = 2;
|
||||
int ode_solver_type = 23;
|
||||
int ode_solver_type = 3;
|
||||
real_t t_final = 300.0;
|
||||
real_t dt = 3.0;
|
||||
real_t visc = 1e-2;
|
||||
@@ -192,7 +192,11 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
|
||||
" 11 - Forward Euler, 12 - RK2,\n\t"
|
||||
" 13 - RK3 SSP, 14 - RK4."
|
||||
" 22 - Implicit Midpoint Method,\n\t"
|
||||
" 23 - SDIRK23 (A-stable), 24 - SDIRK34");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -234,7 +238,31 @@ int main(int argc, char *argv[])
|
||||
// 4. 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.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Implicit L-stable methods
|
||||
case 1: ode_solver = new BackwardEulerSolver; break;
|
||||
case 2: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 3: ode_solver = new SDIRK33Solver; break;
|
||||
// Explicit methods
|
||||
case 11: ode_solver = new ForwardEulerSolver; break;
|
||||
case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 13: ode_solver = new RK3SSPSolver; break;
|
||||
case 14: ode_solver = new RK4Solver; break;
|
||||
case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
default:
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
}
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 5. 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
|
||||
@@ -405,6 +433,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 12. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete pmesh;
|
||||
|
||||
return 0;
|
||||
@@ -617,7 +646,10 @@ real_t HyperelasticOperator::ElasticEnergy(const ParGridFunction &x) const
|
||||
|
||||
real_t HyperelasticOperator::KineticEnergy(const ParGridFunction &v) const
|
||||
{
|
||||
real_t energy = 0.5*M.ParInnerProduct(v, v);
|
||||
real_t loc_energy = 0.5*M.InnerProduct(v, v);
|
||||
real_t energy;
|
||||
MPI_Allreduce(&loc_energy, &energy, 1, MPITypeMap<real_t>::mpi_type,
|
||||
MPI_SUM, fespace.GetComm());
|
||||
return energy;
|
||||
}
|
||||
|
||||
|
||||
+55
-79
@@ -18,12 +18,6 @@
|
||||
// ex14 -m ../data/amr-quad.mesh -r 3
|
||||
// ex14 -m ../data/amr-hex.mesh
|
||||
// ex14 -m ../data/fichera-amr.mesh
|
||||
// ex14 -pa -r 1 -o 3
|
||||
// ex14 -pa -r 1 -o 3 -m ../data/fichera.mesh
|
||||
//
|
||||
// Device sample runs:
|
||||
// ex14 -pa -r 2 -d cuda -o 3
|
||||
// ex14 -pa -r 2 -d cuda -o 3 -m ../data/fichera.mesh
|
||||
//
|
||||
// Description: This example code demonstrates the use of MFEM to define a
|
||||
// discontinuous Galerkin (DG) finite element discretization of
|
||||
@@ -52,9 +46,7 @@ int main(int argc, char *argv[])
|
||||
real_t sigma = -1.0;
|
||||
real_t kappa = -1.0;
|
||||
real_t eta = 0.0;
|
||||
bool pa = false;
|
||||
bool visualization = 1;
|
||||
const char *device_config = "cpu";
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
@@ -70,13 +62,9 @@ int main(int argc, char *argv[])
|
||||
"One of the three DG penalty parameters, should be positive."
|
||||
" Negative values are replaced with (order+1)^2.");
|
||||
args.AddOption(&eta, "-e", "--eta", "BR2 penalty parameter.");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&device_config, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
@@ -89,129 +77,117 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
args.PrintOptions(cout);
|
||||
|
||||
// 2. 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);
|
||||
device.Print();
|
||||
|
||||
// 3. Read the mesh from the given mesh file. We can handle triangular,
|
||||
// 2. Read the mesh from the given mesh file. We can handle triangular,
|
||||
// quadrilateral, tetrahedral and hexahedral meshes with the same code.
|
||||
// NURBS meshes are projected to second order meshes.
|
||||
Mesh mesh(mesh_file);
|
||||
const int dim = mesh.Dimension();
|
||||
Mesh *mesh = new Mesh(mesh_file, 1, 1);
|
||||
int dim = mesh->Dimension();
|
||||
|
||||
// 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. By default, or if ref_levels < 0,
|
||||
// we choose it to be the largest number that gives a final mesh with no
|
||||
// more than 50,000 elements.
|
||||
{
|
||||
if (ref_levels < 0)
|
||||
{
|
||||
ref_levels = (int)floor(log(50000./mesh.GetNE())/log(2.)/dim);
|
||||
ref_levels = (int)floor(log(50000./mesh->GetNE())/log(2.)/dim);
|
||||
}
|
||||
for (int l = 0; l < ref_levels; l++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
}
|
||||
if (mesh.NURBSext)
|
||||
if (mesh->NURBSext)
|
||||
{
|
||||
mesh.SetCurvature(max(order, 1));
|
||||
mesh->SetCurvature(max(order, 1));
|
||||
}
|
||||
|
||||
// 5. Define a finite element space on the mesh. Here we use discontinuous
|
||||
// 4. Define a finite element space on the mesh. Here we use discontinuous
|
||||
// finite elements of the specified order >= 0.
|
||||
const auto bt = pa ? BasisType::GaussLobatto : BasisType::GaussLegendre;
|
||||
DG_FECollection fec(order, dim, bt);
|
||||
FiniteElementSpace fespace(&mesh, &fec);
|
||||
cout << "Number of unknowns: " << fespace.GetVSize() << endl;
|
||||
FiniteElementCollection *fec = new DG_FECollection(order, dim);
|
||||
FiniteElementSpace *fespace = new FiniteElementSpace(mesh, fec);
|
||||
cout << "Number of unknowns: " << fespace->GetVSize() << endl;
|
||||
|
||||
// 6. Set up the linear form b(.) which corresponds to the right-hand side of
|
||||
// 5. Set up the linear form b(.) which corresponds to the right-hand side of
|
||||
// the FEM linear system.
|
||||
LinearForm b(&fespace);
|
||||
LinearForm *b = new LinearForm(fespace);
|
||||
ConstantCoefficient one(1.0);
|
||||
ConstantCoefficient zero(0.0);
|
||||
b.AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b.AddBdrFaceIntegrator(
|
||||
b->AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b->AddBdrFaceIntegrator(
|
||||
new DGDirichletLFIntegrator(zero, one, sigma, kappa));
|
||||
b.Assemble();
|
||||
b->Assemble();
|
||||
|
||||
// 7. Define the solution vector x as a finite element grid function
|
||||
// 6. Define the solution vector x as a finite element grid function
|
||||
// corresponding to fespace. Initialize x with initial guess of zero.
|
||||
GridFunction x(&fespace);
|
||||
GridFunction x(fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 8. Set up the bilinear form a(.,.) on the finite element space
|
||||
// 7. Set up the bilinear form a(.,.) on the finite element space
|
||||
// corresponding to the Laplacian operator -Delta, by adding the Diffusion
|
||||
// domain integrator and the interior and boundary DG face integrators.
|
||||
// Note that boundary conditions are imposed weakly in the form, so there
|
||||
// is no need for dof elimination. After assembly and finalizing we
|
||||
// extract the corresponding sparse matrix A.
|
||||
BilinearForm a(&fespace);
|
||||
a.AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
a.AddInteriorFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
a.AddBdrFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
BilinearForm *a = new BilinearForm(fespace);
|
||||
a->AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
a->AddInteriorFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
a->AddBdrFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
if (eta > 0)
|
||||
{
|
||||
MFEM_VERIFY(!pa, "BR2 not yet compatible with partial assembly.");
|
||||
a.AddInteriorFaceIntegrator(new DGDiffusionBR2Integrator(fespace, eta));
|
||||
a.AddBdrFaceIntegrator(new DGDiffusionBR2Integrator(fespace, eta));
|
||||
a->AddInteriorFaceIntegrator(new DGDiffusionBR2Integrator(*fespace, eta));
|
||||
a->AddBdrFaceIntegrator(new DGDiffusionBR2Integrator(*fespace, eta));
|
||||
}
|
||||
if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
a.Assemble();
|
||||
a.Finalize();
|
||||
a->Assemble();
|
||||
a->Finalize();
|
||||
const SparseMatrix &A = a->SpMat();
|
||||
|
||||
// 9. Define a simple symmetric Gauss-Seidel preconditioner and use it to
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
// 8. Define a simple symmetric Gauss-Seidel preconditioner and use it to
|
||||
// solve the system Ax=b with PCG in the symmetric case, and GMRES in the
|
||||
// non-symmetric one. (Note that tolerances are squared: 1e-12 corresponds
|
||||
// to a relative tolerance of 1e-6).
|
||||
//
|
||||
// If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system.
|
||||
if (pa)
|
||||
// non-symmetric one.
|
||||
GSSmoother M(A);
|
||||
if (sigma == -1.0)
|
||||
{
|
||||
MFEM_VERIFY(sigma == -1.0,
|
||||
"The case of PA with sigma != -1 is not yet supported.");
|
||||
CG(a, b, x, 1, 500, 1e-12, 0.0);
|
||||
PCG(A, M, *b, x, 1, 500, 1e-12, 0.0);
|
||||
}
|
||||
else
|
||||
{
|
||||
const SparseMatrix &A = a.SpMat();
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
GSSmoother M(A);
|
||||
if (sigma == -1.0)
|
||||
{
|
||||
PCG(A, M, b, x, 1, 500, 1e-12, 0.0);
|
||||
}
|
||||
else
|
||||
{
|
||||
GMRES(A, M, b, x, 1, 500, 10, 1e-12, 0.0);
|
||||
}
|
||||
#else
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(A);
|
||||
umf_solver.Mult(b, x);
|
||||
#endif
|
||||
GMRES(A, M, *b, x, 1, 500, 10, 1e-12, 0.0);
|
||||
}
|
||||
#else
|
||||
// 8. If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(A);
|
||||
umf_solver.Mult(*b, x);
|
||||
#endif
|
||||
|
||||
// 10. Save the refined mesh and the solution. This output can be viewed
|
||||
// later using GLVis: "glvis -m refined.mesh -g sol.gf".
|
||||
// 9. Save the refined mesh and the solution. This output can be viewed later
|
||||
// using GLVis: "glvis -m refined.mesh -g sol.gf".
|
||||
ofstream mesh_ofs("refined.mesh");
|
||||
mesh_ofs.precision(8);
|
||||
mesh.Print(mesh_ofs);
|
||||
mesh->Print(mesh_ofs);
|
||||
ofstream sol_ofs("sol.gf");
|
||||
sol_ofs.precision(8);
|
||||
x.Save(sol_ofs);
|
||||
|
||||
// 11. Send the solution by socket to a GLVis server.
|
||||
// 10. Send the solution by socket to a GLVis server.
|
||||
if (visualization)
|
||||
{
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock(vishost, visport);
|
||||
sol_sock.precision(8);
|
||||
sol_sock << "solution\n" << mesh << x << flush;
|
||||
sol_sock << "solution\n" << *mesh << x << flush;
|
||||
}
|
||||
|
||||
// 11. Free the used memory.
|
||||
delete a;
|
||||
delete b;
|
||||
delete fespace;
|
||||
delete fec;
|
||||
delete mesh;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
+79
-87
@@ -17,12 +17,6 @@
|
||||
// mpirun -np 4 ex14p -m ../data/inline-segment.mesh -rs 5
|
||||
// mpirun -np 4 ex14p -m ../data/amr-quad.mesh -rs 3
|
||||
// mpirun -np 4 ex14p -m ../data/amr-hex.mesh
|
||||
// mpirun -np 4 ex14p -pa -rs 1 -rp 0 -o 3
|
||||
// mpirun -np 4 ex14p -pa -rs 1 -rp 0 -m ../data/fichera.mesh -o 3
|
||||
//
|
||||
// Device sample runs:
|
||||
// mpirun -np 4 ex14p -pa -rs 2 -rp 0 -d cuda -o 3
|
||||
// mpirun -np 4 ex14p -pa -rs 2 -rp 0 -d cuda -m ../data/fichera.mesh -o 3
|
||||
//
|
||||
// Description: This example code demonstrates the use of MFEM to define a
|
||||
// discontinuous Galerkin (DG) finite element discretization of
|
||||
@@ -44,39 +38,42 @@ using namespace mfem;
|
||||
|
||||
class CustomSolverMonitor : public IterativeSolverMonitor
|
||||
{
|
||||
private:
|
||||
const ParMesh &pmesh;
|
||||
ParGridFunction &pgf;
|
||||
public:
|
||||
CustomSolverMonitor(const ParMesh &pmesh_,
|
||||
ParGridFunction &pgf_) :
|
||||
pmesh(pmesh_),
|
||||
pgf(pgf_) {}
|
||||
CustomSolverMonitor(const ParMesh *m,
|
||||
ParGridFunction *f) :
|
||||
pmesh(m),
|
||||
pgf(f) {}
|
||||
|
||||
void MonitorSolution(int i, real_t norm, const Vector &x, bool final) override
|
||||
void MonitorSolution(int i, real_t norm, const Vector &x, bool final)
|
||||
{
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
int num_procs, myid;
|
||||
|
||||
MPI_Comm_size(pmesh.GetComm(), &num_procs);
|
||||
MPI_Comm_rank(pmesh.GetComm(), &myid);
|
||||
MPI_Comm_size(pmesh->GetComm(),&num_procs);
|
||||
MPI_Comm_rank(pmesh->GetComm(),&myid);
|
||||
|
||||
pgf.SetFromTrueDofs(x);
|
||||
pgf->SetFromTrueDofs(x);
|
||||
|
||||
socketstream sol_sock(vishost, visport);
|
||||
sol_sock << "parallel " << num_procs << " " << myid << "\n";
|
||||
sol_sock.precision(8);
|
||||
sol_sock << "solution\n" << pmesh << pgf
|
||||
sol_sock << "solution\n" << *pmesh << *pgf
|
||||
<< "window_title 'Iteration no " << i << "'"
|
||||
<< "keys rRjlc\n" << flush;
|
||||
}
|
||||
|
||||
private:
|
||||
const ParMesh *pmesh;
|
||||
ParGridFunction *pgf;
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Initialize MPI and HYPRE.
|
||||
Mpi::Init(argc, argv);
|
||||
int num_procs = Mpi::WorldSize();
|
||||
int myid = Mpi::WorldRank();
|
||||
Hypre::Init();
|
||||
|
||||
// 2. Parse command-line options.
|
||||
@@ -87,9 +84,7 @@ int main(int argc, char *argv[])
|
||||
real_t sigma = -1.0;
|
||||
real_t kappa = -1.0;
|
||||
real_t eta = 0.0;
|
||||
bool pa = false;
|
||||
bool visualization = 1;
|
||||
const char *device_config = "cpu";
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
@@ -108,17 +103,13 @@ int main(int argc, char *argv[])
|
||||
"One of the three DG penalty parameters, should be positive."
|
||||
" Negative values are replaced with (order+1)^2.");
|
||||
args.AddOption(&eta, "-e", "--eta", "BR2 penalty parameter.");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&device_config, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
if (Mpi::Root())
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
}
|
||||
@@ -128,19 +119,16 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
kappa = (order+1)*(order+1);
|
||||
}
|
||||
if (Mpi::Root())
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
Device device(device_config);
|
||||
if (Mpi::Root()) { device.Print(); }
|
||||
|
||||
// 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. NURBS meshes are projected to second order meshes.
|
||||
Mesh mesh(mesh_file);
|
||||
int dim = mesh.Dimension();
|
||||
Mesh *mesh = new Mesh(mesh_file, 1, 1);
|
||||
int dim = mesh->Dimension();
|
||||
|
||||
// 4. Refine the serial mesh on all processors to increase the resolution. In
|
||||
// this example we do 'ser_ref_levels' of uniform refinement. By default,
|
||||
@@ -149,54 +137,53 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
if (ser_ref_levels < 0)
|
||||
{
|
||||
ser_ref_levels = (int)floor(log(10000./mesh.GetNE())/log(2.)/dim);
|
||||
ser_ref_levels = (int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
|
||||
}
|
||||
for (int l = 0; l < ser_ref_levels; l++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
}
|
||||
if (mesh.NURBSext)
|
||||
if (mesh->NURBSext)
|
||||
{
|
||||
mesh.SetCurvature(max(order, 1));
|
||||
mesh->SetCurvature(max(order, 1));
|
||||
}
|
||||
|
||||
// 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(MPI_COMM_WORLD, mesh);
|
||||
mesh.Clear();
|
||||
ParMesh *pmesh = new ParMesh(MPI_COMM_WORLD, *mesh);
|
||||
delete mesh;
|
||||
{
|
||||
for (int l = 0; l < par_ref_levels; l++)
|
||||
{
|
||||
pmesh.UniformRefinement();
|
||||
pmesh->UniformRefinement();
|
||||
}
|
||||
}
|
||||
|
||||
// 6. Define a parallel finite element space on the parallel mesh. Here we
|
||||
// use discontinuous finite elements of the specified order >= 0.
|
||||
const auto bt = pa ? BasisType::GaussLobatto : BasisType::GaussLegendre;
|
||||
DG_FECollection fec(order, dim, bt);
|
||||
ParFiniteElementSpace fespace(&pmesh, &fec);
|
||||
HYPRE_BigInt size = fespace.GlobalTrueVSize();
|
||||
if (Mpi::Root())
|
||||
FiniteElementCollection *fec = new DG_FECollection(order, dim);
|
||||
ParFiniteElementSpace *fespace = new ParFiniteElementSpace(pmesh, fec);
|
||||
HYPRE_BigInt size = fespace->GlobalTrueVSize();
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Number of unknowns: " << size << endl;
|
||||
}
|
||||
|
||||
// 7. Set up the parallel linear form b(.) which corresponds to the
|
||||
// right-hand side of the FEM linear system.
|
||||
ParLinearForm b(&fespace);
|
||||
ParLinearForm *b = new ParLinearForm(fespace);
|
||||
ConstantCoefficient one(1.0);
|
||||
ConstantCoefficient zero(0.0);
|
||||
b.AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b.AddBdrFaceIntegrator(
|
||||
b->AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b->AddBdrFaceIntegrator(
|
||||
new DGDirichletLFIntegrator(zero, one, sigma, kappa));
|
||||
b.Assemble();
|
||||
b->Assemble();
|
||||
|
||||
// 8. Define the solution vector x as a parallel finite element grid function
|
||||
// corresponding to fespace. Initialize x with initial guess of zero.
|
||||
ParGridFunction x(&fespace);
|
||||
ParGridFunction x(fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 9. Set up the bilinear form a(.,.) on the finite element space
|
||||
@@ -205,51 +192,42 @@ int main(int argc, char *argv[])
|
||||
// Note that boundary conditions are imposed weakly in the form, so there
|
||||
// is no need for dof elimination. After serial and parallel assembly we
|
||||
// extract the corresponding parallel matrix A.
|
||||
ParBilinearForm a(&fespace);
|
||||
a.AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
a.AddInteriorFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
a.AddBdrFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
ParBilinearForm *a = new ParBilinearForm(fespace);
|
||||
a->AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
a->AddInteriorFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
a->AddBdrFaceIntegrator(new DGDiffusionIntegrator(one, sigma, kappa));
|
||||
if (eta > 0)
|
||||
{
|
||||
MFEM_VERIFY(!pa, "BR2 not yet compatible with partial assembly.");
|
||||
a.AddInteriorFaceIntegrator(new DGDiffusionBR2Integrator(fespace, eta));
|
||||
a.AddBdrFaceIntegrator(new DGDiffusionBR2Integrator(fespace, eta));
|
||||
a->AddInteriorFaceIntegrator(new DGDiffusionBR2Integrator(*fespace, eta));
|
||||
a->AddBdrFaceIntegrator(new DGDiffusionBR2Integrator(*fespace, eta));
|
||||
}
|
||||
if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
a.Assemble();
|
||||
a.Finalize();
|
||||
a->Assemble();
|
||||
a->Finalize();
|
||||
|
||||
// 10. Define the parallel (hypre) matrix and vectors representing a(.,.),
|
||||
// b(.) and the finite element approximation.
|
||||
OperatorHandle A;
|
||||
HypreParMatrix *A = a->ParallelAssemble();
|
||||
HypreParVector *B = b->ParallelAssemble();
|
||||
HypreParVector *X = x.ParallelProject();
|
||||
|
||||
std::unique_ptr<HypreBoomerAMG> amg;
|
||||
if (pa)
|
||||
{
|
||||
A.Reset(&a, false);
|
||||
}
|
||||
else
|
||||
{
|
||||
A.SetType(Operator::Hypre_ParCSR);
|
||||
a.ParallelAssemble(A);
|
||||
amg.reset(new HypreBoomerAMG(*A.As<HypreParMatrix>()));
|
||||
}
|
||||
delete a;
|
||||
delete b;
|
||||
|
||||
// 11. Depending on the symmetry of A, define and apply a parallel PCG or
|
||||
// GMRES solver for AX=B using the BoomerAMG preconditioner from hypre.
|
||||
HypreSolver *amg = new HypreBoomerAMG(*A);
|
||||
if (sigma == -1.0)
|
||||
{
|
||||
CGSolver cg(MPI_COMM_WORLD);
|
||||
cg.SetRelTol(1e-12);
|
||||
cg.SetMaxIter(500);
|
||||
cg.SetPrintLevel(1);
|
||||
cg.SetOperator(*A);
|
||||
if (amg) { cg.SetPreconditioner(*amg); }
|
||||
cg.Mult(b, x);
|
||||
HyprePCG pcg(*A);
|
||||
pcg.SetTol(1e-12);
|
||||
pcg.SetMaxIter(500);
|
||||
pcg.SetPrintLevel(2);
|
||||
pcg.SetPreconditioner(*amg);
|
||||
pcg.Mult(*B, *X);
|
||||
}
|
||||
else
|
||||
{
|
||||
CustomSolverMonitor monitor(pmesh, x);
|
||||
CustomSolverMonitor monitor(pmesh, &x);
|
||||
GMRESSolver gmres(MPI_COMM_WORLD);
|
||||
gmres.SetAbsTol(0.0);
|
||||
gmres.SetRelTol(1e-12);
|
||||
@@ -257,37 +235,51 @@ int main(int argc, char *argv[])
|
||||
gmres.SetKDim(10);
|
||||
gmres.SetPrintLevel(1);
|
||||
gmres.SetOperator(*A);
|
||||
if (amg) { gmres.SetPreconditioner(*amg); }
|
||||
gmres.SetPreconditioner(*amg);
|
||||
gmres.SetMonitor(monitor);
|
||||
gmres.Mult(b, x);
|
||||
gmres.Mult(*B, *X);
|
||||
}
|
||||
delete amg;
|
||||
|
||||
// 12. Save the refined mesh and the solution in parallel. This output can
|
||||
// 12. Extract the parallel grid function corresponding to the finite element
|
||||
// approximation X. This is the local solution on each processor.
|
||||
x = *X;
|
||||
|
||||
// 13. Save the refined mesh and the solution in parallel. This output can
|
||||
// be viewed later using GLVis: "glvis -np <np> -m mesh -g sol".
|
||||
{
|
||||
ostringstream mesh_name, sol_name;
|
||||
mesh_name << "mesh." << setfill('0') << setw(6) << Mpi::WorldRank();
|
||||
sol_name << "sol." << setfill('0') << setw(6) << Mpi::WorldRank();
|
||||
mesh_name << "mesh." << setfill('0') << setw(6) << myid;
|
||||
sol_name << "sol." << setfill('0') << setw(6) << myid;
|
||||
|
||||
ofstream mesh_ofs(mesh_name.str().c_str());
|
||||
mesh_ofs.precision(8);
|
||||
pmesh.Print(mesh_ofs);
|
||||
pmesh->Print(mesh_ofs);
|
||||
|
||||
ofstream sol_ofs(sol_name.str().c_str());
|
||||
sol_ofs.precision(8);
|
||||
x.Save(sol_ofs);
|
||||
}
|
||||
|
||||
// 13. Send the solution by socket to a GLVis server.
|
||||
// 14. Send the solution by socket to a GLVis server.
|
||||
if (visualization)
|
||||
{
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock(vishost, visport);
|
||||
sol_sock << "parallel " << Mpi::WorldSize() << " " << Mpi::WorldRank() << "\n";
|
||||
sol_sock << "parallel " << num_procs << " " << myid << "\n";
|
||||
sol_sock.precision(8);
|
||||
sol_sock << "solution\n" << pmesh << x << flush;
|
||||
sol_sock << "solution\n" << *pmesh << x << flush;
|
||||
}
|
||||
|
||||
// 15. Free the used memory.
|
||||
delete X;
|
||||
delete B;
|
||||
delete A;
|
||||
|
||||
delete fespace;
|
||||
delete fec;
|
||||
delete pmesh;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
+33
-12
@@ -5,10 +5,10 @@
|
||||
// Sample runs: ex16
|
||||
// ex16 -m ../data/inline-tri.mesh
|
||||
// ex16 -m ../data/disc-nurbs.mesh -tf 2
|
||||
// ex16 -s 21 -a 0.0 -k 1.0
|
||||
// ex16 -s 22 -a 1.0 -k 0.0
|
||||
// ex16 -s 23 -a 0.5 -k 0.5 -o 4
|
||||
// ex16 -s 4 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// ex16 -s 1 -a 0.0 -k 1.0
|
||||
// ex16 -s 2 -a 1.0 -k 0.0
|
||||
// ex16 -s 3 -a 0.5 -k 0.5 -o 4
|
||||
// ex16 -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// ex16 -m ../data/fichera-q2.mesh
|
||||
// ex16 -m ../data/fichera-mixed.mesh
|
||||
// ex16 -m ../data/escher.mesh
|
||||
@@ -76,15 +76,15 @@ public:
|
||||
ConductionOperator(FiniteElementSpace &f, real_t alpha, real_t kappa,
|
||||
const Vector &u);
|
||||
|
||||
void Mult(const Vector &u, Vector &du_dt) const override;
|
||||
virtual void Mult(const Vector &u, Vector &du_dt) const;
|
||||
/** 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.*/
|
||||
void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &u, Vector &k);
|
||||
|
||||
/// Update the diffusion BilinearForm K using the given true-dof vector `u`.
|
||||
void SetParameters(const Vector &u);
|
||||
|
||||
~ConductionOperator() override;
|
||||
virtual ~ConductionOperator();
|
||||
};
|
||||
|
||||
real_t InitialTemperature(const Vector &x);
|
||||
@@ -95,13 +95,11 @@ int main(int argc, char *argv[])
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int ref_levels = 2;
|
||||
int order = 2;
|
||||
|
||||
int ode_solver_type = 23; // SDIRK33Solver
|
||||
int ode_solver_type = 3;
|
||||
real_t t_final = 0.5;
|
||||
real_t dt = 1.0e-2;
|
||||
real_t alpha = 1.0e-2;
|
||||
real_t kappa = 0.5;
|
||||
|
||||
bool visualization = true;
|
||||
bool visit = false;
|
||||
int vis_steps = 5;
|
||||
@@ -117,7 +115,8 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
|
||||
"\t 11 - Forward Euler, 12 - RK2, 13 - RK3 SSP, 14 - RK4.");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -150,7 +149,28 @@ int main(int argc, char *argv[])
|
||||
// 3. 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.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Implicit L-stable methods
|
||||
case 1: ode_solver = new BackwardEulerSolver; break;
|
||||
case 2: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 3: ode_solver = new SDIRK33Solver; break;
|
||||
// Explicit methods
|
||||
case 11: ode_solver = new ForwardEulerSolver; break;
|
||||
case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 13: ode_solver = new RK3SSPSolver; break;
|
||||
case 14: ode_solver = new RK4Solver; break;
|
||||
case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Refine the mesh to increase the resolution. In this example we do
|
||||
// 'ref_levels' of uniform refinement, where 'ref_levels' is a
|
||||
@@ -267,6 +287,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 10. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete mesh;
|
||||
|
||||
return 0;
|
||||
|
||||
+33
-12
@@ -5,10 +5,10 @@
|
||||
// Sample runs: mpirun -np 4 ex16p
|
||||
// mpirun -np 4 ex16p -m ../data/inline-tri.mesh
|
||||
// mpirun -np 4 ex16p -m ../data/disc-nurbs.mesh -tf 2
|
||||
// mpirun -np 4 ex16p -s 21 -a 0.0 -k 1.0
|
||||
// mpirun -np 4 ex16p -s 22 -a 1.0 -k 0.0
|
||||
// mpirun -np 8 ex16p -s 23 -a 0.5 -k 0.5 -o 4
|
||||
// mpirun -np 4 ex16p -s 4 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// mpirun -np 4 ex16p -s 1 -a 0.0 -k 1.0
|
||||
// mpirun -np 4 ex16p -s 2 -a 1.0 -k 0.0
|
||||
// mpirun -np 8 ex16p -s 3 -a 0.5 -k 0.5 -o 4
|
||||
// mpirun -np 4 ex16p -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// mpirun -np 16 ex16p -m ../data/fichera-q2.mesh
|
||||
// mpirun -np 16 ex16p -m ../data/fichera-mixed.mesh
|
||||
// mpirun -np 16 ex16p -m ../data/escher-p2.mesh
|
||||
@@ -78,15 +78,15 @@ public:
|
||||
ConductionOperator(ParFiniteElementSpace &f, real_t alpha, real_t kappa,
|
||||
const Vector &u);
|
||||
|
||||
void Mult(const Vector &u, Vector &du_dt) const override;
|
||||
virtual void Mult(const Vector &u, Vector &du_dt) const;
|
||||
/** 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.*/
|
||||
void ImplicitSolve(const real_t dt, const Vector &u, Vector &k) override;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &u, Vector &k);
|
||||
|
||||
/// Update the diffusion BilinearForm K using the given true-dof vector `u`.
|
||||
void SetParameters(const Vector &u);
|
||||
|
||||
~ConductionOperator() override;
|
||||
virtual ~ConductionOperator();
|
||||
};
|
||||
|
||||
real_t InitialTemperature(const Vector &x);
|
||||
@@ -104,13 +104,11 @@ int main(int argc, char *argv[])
|
||||
int ser_ref_levels = 2;
|
||||
int par_ref_levels = 1;
|
||||
int order = 2;
|
||||
|
||||
int ode_solver_type = 23; // SDIRK33Solver
|
||||
int ode_solver_type = 3;
|
||||
real_t t_final = 0.5;
|
||||
real_t dt = 1.0e-2;
|
||||
real_t alpha = 1.0e-2;
|
||||
real_t kappa = 0.5;
|
||||
|
||||
bool visualization = true;
|
||||
bool visit = false;
|
||||
int vis_steps = 5;
|
||||
@@ -129,7 +127,8 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Backward Euler, 2 - SDIRK2, 3 - SDIRK3,\n\t"
|
||||
"\t 11 - Forward Euler, 12 - RK2, 13 - RK3 SSP, 14 - RK4.");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -170,7 +169,28 @@ int main(int argc, char *argv[])
|
||||
// 4. 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.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Implicit L-stable methods
|
||||
case 1: ode_solver = new BackwardEulerSolver; break;
|
||||
case 2: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 3: ode_solver = new SDIRK33Solver; break;
|
||||
// Explicit methods
|
||||
case 11: ode_solver = new ForwardEulerSolver; break;
|
||||
case 12: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 13: ode_solver = new RK3SSPSolver; break;
|
||||
case 14: ode_solver = new RK4Solver; break;
|
||||
case 15: ode_solver = new GeneralizedAlphaSolver(0.5); break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 5. 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
|
||||
@@ -356,6 +376,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 12. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete pmesh;
|
||||
|
||||
return 0;
|
||||
|
||||
+2
-2
@@ -69,7 +69,7 @@ public:
|
||||
void SetDisplacement(GridFunction &u_) { u = &u_; }
|
||||
void SetComponent(int i, int j) { si = i; sj = j; }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
// Simple GLVis visualization manager.
|
||||
@@ -89,7 +89,7 @@ public:
|
||||
void NewWindow();
|
||||
void CloseConnection();
|
||||
void PositionWindow();
|
||||
~VisMan() override;
|
||||
virtual ~VisMan();
|
||||
};
|
||||
|
||||
// Manipulators for the GLVis visualization manager.
|
||||
|
||||
+2
-2
@@ -69,7 +69,7 @@ public:
|
||||
void SetDisplacement(GridFunction &u_) { u = &u_; }
|
||||
void SetComponent(int i, int j) { si = i; sj = j; }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
// Simple GLVis visualization manager.
|
||||
@@ -89,7 +89,7 @@ public:
|
||||
void NewWindow();
|
||||
void CloseConnection();
|
||||
void PositionWindow();
|
||||
~VisMan() override;
|
||||
virtual ~VisMan();
|
||||
};
|
||||
|
||||
// Manipulators for the GLVis visualization manager.
|
||||
|
||||
+17
-2
@@ -90,7 +90,8 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::ExplicitTypes.c_str());
|
||||
"ODE solver: 1 - Forward Euler,\n\t"
|
||||
" 2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6.");
|
||||
args.AddOption(&t_final, "-tf", "--t-final", "Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
"Time step. Positive number skips CFL timestep calculation.");
|
||||
@@ -124,7 +125,18 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 3. Define the ODE solver used for time integration. Several explicit
|
||||
// Runge-Kutta methods are available.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::SelectExplicit(ode_solver_type);
|
||||
ODESolver *ode_solver = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(1.0); break;
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
case 6: ode_solver = new RK6Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Define the discontinuous DG finite element space of the given
|
||||
// polynomial order on the refined mesh.
|
||||
@@ -292,5 +304,8 @@ int main(int argc, char *argv[])
|
||||
const real_t error = sol.ComputeLpError(2, u0);
|
||||
cout << "Solution error: " << error << endl;
|
||||
|
||||
// Free the used memory.
|
||||
delete ode_solver;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
+4
-4
@@ -39,8 +39,8 @@ private:
|
||||
// Base Nonlinear Form
|
||||
std::unique_ptr<NonlinearForm> nonlinearForm;
|
||||
// element-wise inverse mass matrix
|
||||
std::vector<DenseMatrix> invmass; // local scalar inverse mass
|
||||
std::vector<DenseMatrix> weakdiv; // local weak divergence (trial space ByDim)
|
||||
std::vector<DenseMatrix> invmass; // local scalar inverse mass.
|
||||
std::vector<DenseMatrix> weakdiv; // local weakdivergence. Trial space is ByDim.
|
||||
// global maximum characteristic speed. Updated by form integrators
|
||||
mutable real_t max_char_speed;
|
||||
// auxiliary variable used in Mult
|
||||
@@ -169,9 +169,9 @@ void DGHyperbolicConservationLaws::Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
// 0. Reset wavespeed computation before operator application.
|
||||
formIntegrator->ResetMaxCharSpeed();
|
||||
// 1. Apply Nonlinear form to obtain an auxiliary result
|
||||
// 1. Apply Nonlinear form to obtain an axiliary result
|
||||
// z = - <F̂(u_h,n), [[v]]>_e
|
||||
// If weak-divergence is not preassembled, we also have weak-divergence
|
||||
// If weak-divergencee is not preassembled, we also have weak-divergence
|
||||
// z = - <F̂(u_h,n), [[v]]>_e + (F(u_h), ∇v)
|
||||
nonlinearForm->Mult(x, z);
|
||||
if (!weakdiv.empty()) // if weak divergence is pre-assembled
|
||||
|
||||
+17
-2
@@ -99,7 +99,8 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::ExplicitTypes.c_str());
|
||||
"ODE solver: 1 - Forward Euler,\n\t"
|
||||
" 2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6.");
|
||||
args.AddOption(&t_final, "-tf", "--t-final", "Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
"Time step. Positive number skips CFL timestep calculation.");
|
||||
@@ -147,7 +148,18 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 3. Define the ODE solver used for time integration. Several explicit
|
||||
// Runge-Kutta methods are available.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::SelectExplicit(ode_solver_type);
|
||||
ODESolver *ode_solver = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(1.0); break;
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
case 6: ode_solver = new RK6Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Define the discontinuous DG finite element space of the given
|
||||
// polynomial order on the refined mesh.
|
||||
@@ -348,5 +360,8 @@ int main(int argc, char *argv[])
|
||||
cout << "Solution error: " << error << endl;
|
||||
}
|
||||
|
||||
// Free the used memory.
|
||||
delete ode_solver;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
+7
-7
@@ -48,7 +48,7 @@ public:
|
||||
print_level = print_lvl;
|
||||
}
|
||||
|
||||
void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
|
||||
virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
|
||||
|
||||
private:
|
||||
const std::string prefix;
|
||||
@@ -116,10 +116,10 @@ public:
|
||||
JacobianPreconditioner(Array<FiniteElementSpace *> &fes,
|
||||
SparseMatrix &mass, Array<int> &offsets);
|
||||
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
void SetOperator(const Operator &op) override;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
virtual void SetOperator(const Operator &op);
|
||||
|
||||
~JacobianPreconditioner() override;
|
||||
virtual ~JacobianPreconditioner();
|
||||
};
|
||||
|
||||
// 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
|
||||
Operator &GetGradient(const Vector &xp) const override;
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
virtual Operator &GetGradient(const Vector &xp) const;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
|
||||
// Driver for the newton solver
|
||||
void Solve(Vector &xp) const;
|
||||
|
||||
~RubberOperator() override;
|
||||
virtual ~RubberOperator();
|
||||
};
|
||||
|
||||
// Visualization driver
|
||||
|
||||
+7
-7
@@ -62,7 +62,7 @@ public:
|
||||
#endif
|
||||
}
|
||||
|
||||
void MonitorResidual(int it, real_t norm, const Vector &r, bool final) override;
|
||||
virtual void MonitorResidual(int it, real_t norm, const Vector &r, bool final);
|
||||
|
||||
private:
|
||||
const std::string prefix;
|
||||
@@ -130,10 +130,10 @@ public:
|
||||
JacobianPreconditioner(Array<ParFiniteElementSpace *> &fes,
|
||||
Operator &mass, Array<int> &offsets);
|
||||
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
void SetOperator(const Operator &op) override;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
virtual void SetOperator(const Operator &op);
|
||||
|
||||
~JacobianPreconditioner() override;
|
||||
virtual ~JacobianPreconditioner();
|
||||
};
|
||||
|
||||
// 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
|
||||
Operator &GetGradient(const Vector &xp) const override;
|
||||
void Mult(const Vector &k, Vector &y) const override;
|
||||
virtual Operator &GetGradient(const Vector &xp) const;
|
||||
virtual void Mult(const Vector &k, Vector &y) const;
|
||||
|
||||
// Driver for the newton solver
|
||||
void Solve(Vector &xp) const;
|
||||
|
||||
~RubberOperator() override;
|
||||
virtual ~RubberOperator();
|
||||
};
|
||||
|
||||
// Visualization driver
|
||||
|
||||
+2
-2
@@ -79,14 +79,14 @@ class GradT : public Operator
|
||||
{
|
||||
public:
|
||||
GradT() : Operator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
|
||||
void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
|
||||
};
|
||||
|
||||
class NegGradV : public TimeDependentOperator
|
||||
{
|
||||
public:
|
||||
NegGradV() : TimeDependentOperator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const override;
|
||||
void Mult(const Vector &x, Vector &y) const;
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
|
||||
+2
-2
@@ -84,14 +84,14 @@ class GradT : public Operator
|
||||
{
|
||||
public:
|
||||
GradT() : Operator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const override { y.Set(1.0/m_, x); }
|
||||
void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
|
||||
};
|
||||
|
||||
class NegGradV : public TimeDependentOperator
|
||||
{
|
||||
public:
|
||||
NegGradV() : TimeDependentOperator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const override;
|
||||
void Mult(const Vector &x, Vector &y) const;
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
|
||||
+54
-23
@@ -44,7 +44,7 @@ protected:
|
||||
BilinearForm *M;
|
||||
BilinearForm *K;
|
||||
|
||||
SparseMatrix Mmat, Kmat;
|
||||
SparseMatrix Mmat, Kmat, Kmat0;
|
||||
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;
|
||||
void Mult(const Vector &u, const Vector &du_dt,
|
||||
Vector &d2udt2) const override;
|
||||
virtual void Mult(const Vector &u, const Vector &du_dt,
|
||||
Vector &d2udt2) const;
|
||||
|
||||
/** Solve the Backward-Euler equation:
|
||||
d2udt2 = f(u + fac0*d2udt2,dudt + fac1*d2udt2, t),
|
||||
for the unknown d2udt2. */
|
||||
using SecondOrderTimeDependentOperator::ImplicitSolve;
|
||||
void ImplicitSolve(const real_t fac0, const real_t fac1,
|
||||
const Vector &u, const Vector &dudt, Vector &d2udt2) override;
|
||||
virtual void ImplicitSolve(const real_t fac0, const real_t fac1,
|
||||
const Vector &u, const Vector &dudt, Vector &d2udt2);
|
||||
|
||||
///
|
||||
void SetParameters(const Vector &u);
|
||||
|
||||
~WaveOperator() override;
|
||||
virtual ~WaveOperator();
|
||||
};
|
||||
|
||||
|
||||
@@ -83,24 +83,25 @@ 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)
|
||||
{
|
||||
// Assemble Laplace matrix
|
||||
const real_t rel_tol = 1e-8;
|
||||
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
|
||||
c2 = new ConstantCoefficient(speed*speed);
|
||||
|
||||
K = new BilinearForm(&fespace);
|
||||
K->AddDomainIntegrator(new DiffusionIntegrator(*c2));
|
||||
K->Assemble();
|
||||
|
||||
// Assemble Mass matrix
|
||||
Array<int> dummy;
|
||||
K->FormSystemMatrix(dummy, Kmat0);
|
||||
K->FormSystemMatrix(ess_tdof_list, Kmat);
|
||||
|
||||
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);
|
||||
@@ -109,13 +110,14 @@ 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,
|
||||
@@ -124,11 +126,9 @@ void WaveOperator::Mult(const Vector &u, const Vector &du_dt,
|
||||
// Compute:
|
||||
// d2udt2 = M^{-1}*-K(u)
|
||||
// for d2udt2
|
||||
K->FullMult(u, z);
|
||||
Kmat.Mult(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,
|
||||
@@ -142,11 +142,14 @@ void WaveOperator::ImplicitSolve(const real_t fac0, const real_t fac1,
|
||||
T = Add(1.0, Mmat, fac0, Kmat);
|
||||
T_solver.SetOperator(*T);
|
||||
}
|
||||
K->FullMult(u, z);
|
||||
Kmat0.Mult(u, z);
|
||||
z.Neg();
|
||||
z.SetSubVector(ess_tdof_list, 0.0);
|
||||
|
||||
for (int i = 0; i < ess_tdof_list.Size(); i++)
|
||||
{
|
||||
z[ess_tdof_list[i]] = 0.0;
|
||||
}
|
||||
T_solver.Mult(z, d2udt2);
|
||||
d2udt2.SetSubVector(ess_tdof_list, 0.0);
|
||||
}
|
||||
|
||||
void WaveOperator::SetParameters(const Vector &u)
|
||||
@@ -201,7 +204,9 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Order (degree) of the finite elements.");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
SecondOrderODESolver::Types.c_str());
|
||||
"ODE solver: [0--10] - GeneralizedAlpha(0.1 * s),\n\t"
|
||||
"\t 11 - Average Acceleration, 12 - Linear Acceleration\n"
|
||||
"\t 13 - CentralDifference, 14 - FoxGoodwin");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -236,7 +241,32 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 3. Define the ODE solver used for time integration. Several second order
|
||||
// time integrators are available.
|
||||
SecondOrderODESolver *ode_solver= SecondOrderODESolver::Select(ode_solver_type);
|
||||
SecondOrderODESolver *ode_solver;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Implicit methods
|
||||
case 0: ode_solver = new GeneralizedAlpha2Solver(0.0); break;
|
||||
case 1: ode_solver = new GeneralizedAlpha2Solver(0.1); break;
|
||||
case 2: ode_solver = new GeneralizedAlpha2Solver(0.2); break;
|
||||
case 3: ode_solver = new GeneralizedAlpha2Solver(0.3); break;
|
||||
case 4: ode_solver = new GeneralizedAlpha2Solver(0.4); break;
|
||||
case 5: ode_solver = new GeneralizedAlpha2Solver(0.5); break;
|
||||
case 6: ode_solver = new GeneralizedAlpha2Solver(0.6); break;
|
||||
case 7: ode_solver = new GeneralizedAlpha2Solver(0.7); break;
|
||||
case 8: ode_solver = new GeneralizedAlpha2Solver(0.8); break;
|
||||
case 9: ode_solver = new GeneralizedAlpha2Solver(0.9); break;
|
||||
case 10: ode_solver = new GeneralizedAlpha2Solver(1.0); break;
|
||||
|
||||
case 11: ode_solver = new AverageAccelerationSolver(); break;
|
||||
case 12: ode_solver = new LinearAccelerationSolver(); break;
|
||||
case 13: ode_solver = new CentralDifferenceSolver(); break;
|
||||
case 14: ode_solver = new FoxGoodwinSolver(); break;
|
||||
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Refine the mesh to increase the resolution. In this example we do
|
||||
// 'ref_levels' of uniform refinement, where 'ref_levels' is a
|
||||
@@ -284,6 +314,7 @@ int main(int argc, char *argv[])
|
||||
ess_bdr = 0;
|
||||
}
|
||||
}
|
||||
|
||||
WaveOperator oper(fespace, ess_bdr, speed);
|
||||
|
||||
u_gf.SetFromTrueDofs(u);
|
||||
|
||||
+2
-2
@@ -103,8 +103,8 @@ public:
|
||||
|
||||
using VectorCoefficient::Eval;
|
||||
|
||||
void Eval(Vector &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override
|
||||
virtual void Eval(Vector &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
real_t x[3];
|
||||
Vector transip(x, 3);
|
||||
|
||||
+2
-2
@@ -102,8 +102,8 @@ public:
|
||||
|
||||
using VectorCoefficient::Eval;
|
||||
|
||||
void Eval(Vector &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override
|
||||
virtual void Eval(Vector &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
real_t x[3];
|
||||
Vector transip(x, 3);
|
||||
|
||||
+1
-1
@@ -58,7 +58,7 @@ public:
|
||||
}
|
||||
}
|
||||
|
||||
~DiffusionMultigrid() override
|
||||
virtual ~DiffusionMultigrid()
|
||||
{
|
||||
delete amg;
|
||||
}
|
||||
|
||||
+12
-16
@@ -19,11 +19,8 @@
|
||||
// ex33 -m ../data/amr-quad.mesh -ver -alpha 2.6 -o 2 -r 2
|
||||
// ex33 -m ../data/inline-hex.mesh -ver -alpha 0.3 -o 2 -r 1
|
||||
//
|
||||
// Note: The manufactured solution used in this problem is
|
||||
//
|
||||
// u = ∏_{i=0}^{dim-1} sin(π x_i) ,
|
||||
//
|
||||
// regardless of the value of alpha.
|
||||
// Note: the analytic solution to this problem is u = ∏_{i=0}^{dim-1} sin(π x_i)
|
||||
// for all alpha.
|
||||
//
|
||||
// Description:
|
||||
//
|
||||
@@ -117,8 +114,7 @@ int main(int argc, char *argv[])
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&verification, "-ver", "--verification", "-no-ver",
|
||||
"--no-verification",
|
||||
"Use sinusoidal function (f) for manufactured "
|
||||
"solution test.");
|
||||
"Use sinusoidal function (f) for analytic comparison.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
@@ -167,7 +163,7 @@ int main(int argc, char *argv[])
|
||||
// 5. Define a finite element space on the mesh.
|
||||
H1_FECollection fec(order, dim);
|
||||
FiniteElementSpace fespace(&mesh, &fec);
|
||||
cout << "Number of degrees of freedom: "
|
||||
cout << "Number of finite element unknowns: "
|
||||
<< fespace.GetTrueVSize() << endl;
|
||||
|
||||
// 6. Determine the list of true (i.e. conforming) essential boundary dofs.
|
||||
@@ -383,29 +379,29 @@ int main(int argc, char *argv[])
|
||||
FunctionCoefficient sol(solution);
|
||||
real_t l2_error = u.ComputeL2Error(sol);
|
||||
|
||||
string manufactured_solution,expected_mesh;
|
||||
string analytic_solution,expected_mesh;
|
||||
switch (dim)
|
||||
{
|
||||
case 1:
|
||||
manufactured_solution = "sin(π x)";
|
||||
analytic_solution = "sin(π x)";
|
||||
expected_mesh = "inline_segment.mesh";
|
||||
break;
|
||||
case 2:
|
||||
manufactured_solution = "sin(π x) sin(π y)";
|
||||
analytic_solution = "sin(π x) sin(π y)";
|
||||
expected_mesh = "inline_quad.mesh";
|
||||
break;
|
||||
default:
|
||||
manufactured_solution = "sin(π x) sin(π y) sin(π z)";
|
||||
analytic_solution = "sin(π x) sin(π y) sin(π z)";
|
||||
expected_mesh = "inline_hex.mesh";
|
||||
break;
|
||||
}
|
||||
|
||||
mfem::out << "\n" << string(80,'=')
|
||||
<< "\n\nSolution Verification in "<< dim << "D \n\n"
|
||||
<< "Manufactured solution : " << manufactured_solution << "\n"
|
||||
<< "Expected mesh : " << expected_mesh <<"\n"
|
||||
<< "Your mesh : " << mesh_file << "\n"
|
||||
<< "L2 error : " << l2_error << "\n\n"
|
||||
<< "Analytic solution : " << analytic_solution << "\n"
|
||||
<< "Expected mesh : " << expected_mesh <<"\n"
|
||||
<< "Your mesh : " << mesh_file << "\n"
|
||||
<< "L2 error : " << l2_error << "\n\n"
|
||||
<< string(80,'=') << endl;
|
||||
}
|
||||
|
||||
|
||||
+2
-4
@@ -131,7 +131,7 @@ void RationalApproximation_AAA(const Vector &val, const Vector &pt,
|
||||
}
|
||||
|
||||
#ifdef MFEM_USE_LAPACK
|
||||
DenseMatrixSVD svd(Am,'N','A');
|
||||
DenseMatrixSVD svd(Am,false,true);
|
||||
svd.Eval(Am);
|
||||
DenseMatrix &v = svd.RightSingularvectors();
|
||||
v.GetRow(k,w);
|
||||
@@ -346,7 +346,7 @@ void ComputePartialFractionApproximation(real_t & alpha,
|
||||
}
|
||||
else
|
||||
{
|
||||
if (abs(alpha - 0.5) > eps)
|
||||
if (abs(alpha - 0.5) > eps && print_warning)
|
||||
{
|
||||
alpha = 0.5;
|
||||
}
|
||||
@@ -368,8 +368,6 @@ void ComputePartialFractionApproximation(real_t & alpha,
|
||||
|
||||
|
||||
return;
|
||||
#else
|
||||
MFEM_CONTRACT_VAR(print_warning);
|
||||
#endif
|
||||
|
||||
Vector x(npoints);
|
||||
|
||||
+14
-19
@@ -19,11 +19,8 @@
|
||||
// mpirun -np 4 ex33p -m ../data/amr-quad.mesh -ver -alpha 2.6 -o 2 -r 2
|
||||
// mpirun -np 4 ex33p -m ../data/inline-hex.mesh -ver -alpha 0.3 -o 2 -r 1
|
||||
|
||||
// Note: The manufactured solution used in this problem is
|
||||
//
|
||||
// u = ∏_{i=0}^{dim-1} sin(π x_i) ,
|
||||
//
|
||||
// regardless of the value of alpha.
|
||||
// Note: the analytic solution to this problem is u = ∏_{i=0}^{dim-1} sin(π x_i)
|
||||
// for all alpha.
|
||||
//
|
||||
// Description:
|
||||
//
|
||||
@@ -123,8 +120,7 @@ int main(int argc, char *argv[])
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&verification, "-ver", "--verification", "-no-ver",
|
||||
"--no-verification",
|
||||
"Use sinusoidal function (f) for manufactured "
|
||||
"solution test.");
|
||||
"Use sinusoidal function (f) for analytic comparison.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
@@ -184,11 +180,10 @@ int main(int argc, char *argv[])
|
||||
// 5. Define a finite element space on the mesh.
|
||||
H1_FECollection fec(order, dim);
|
||||
ParFiniteElementSpace fespace(&pmesh, &fec);
|
||||
HYPRE_BigInt size = fespace.GlobalTrueVSize();
|
||||
if (Mpi::Root())
|
||||
{
|
||||
cout << "Number of degrees of freedom: "
|
||||
<< size << endl;
|
||||
cout << "Number of finite element unknowns: "
|
||||
<< fespace.GetTrueVSize() << endl;
|
||||
}
|
||||
|
||||
// 6. Determine the list of true (i.e. conforming) essential boundary dofs.
|
||||
@@ -228,7 +223,7 @@ int main(int argc, char *argv[])
|
||||
if (verification)
|
||||
{
|
||||
// This statement is only relevant for the verification of the code. It
|
||||
// uses a different f such that an manufactured solution is known and easy
|
||||
// uses a different f such that an analytic solution is known and easy
|
||||
// to compare with the numerical one. The FPDE becomes:
|
||||
// (-Δ)^α u = (2\pi ^2)^α sin(\pi x) sin(\pi y) on [0,1]^2
|
||||
// -> u(x,y) = sin(\pi x) sin(\pi y)
|
||||
@@ -420,29 +415,29 @@ int main(int argc, char *argv[])
|
||||
|
||||
if (Mpi::Root())
|
||||
{
|
||||
string manufactured_solution,expected_mesh;
|
||||
string analytic_solution,expected_mesh;
|
||||
switch (dim)
|
||||
{
|
||||
case 1:
|
||||
manufactured_solution = "sin(π x)";
|
||||
analytic_solution = "sin(π x)";
|
||||
expected_mesh = "inline_segment.mesh";
|
||||
break;
|
||||
case 2:
|
||||
manufactured_solution = "sin(π x) sin(π y)";
|
||||
analytic_solution = "sin(π x) sin(π y)";
|
||||
expected_mesh = "inline_quad.mesh";
|
||||
break;
|
||||
default:
|
||||
manufactured_solution = "sin(π x) sin(π y) sin(π z)";
|
||||
analytic_solution = "sin(π x) sin(π y) sin(π z)";
|
||||
expected_mesh = "inline_hex.mesh";
|
||||
break;
|
||||
}
|
||||
|
||||
mfem::out << "\n" << string(80,'=')
|
||||
<< "\n\nSolution Verification in "<< dim << "D \n\n"
|
||||
<< "Manufactured solution : " << manufactured_solution << "\n"
|
||||
<< "Expected mesh : " << expected_mesh <<"\n"
|
||||
<< "Your mesh : " << mesh_file << "\n"
|
||||
<< "L2 error : " << l2_error << "\n\n"
|
||||
<< "Analytic solution : " << analytic_solution << "\n"
|
||||
<< "Expected mesh : " << expected_mesh <<"\n"
|
||||
<< "Your mesh : " << mesh_file << "\n"
|
||||
<< "L2 error : " << l2_error << "\n\n"
|
||||
<< string(80,'=') << endl;
|
||||
}
|
||||
}
|
||||
|
||||
+3
-3
@@ -53,7 +53,7 @@ public:
|
||||
real_t min_val_=-36)
|
||||
: u(&u_), obstacle(&obst_), min_val(min_val_) { }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
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_) { }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
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.EliminateTrialEssentialBC(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
|
||||
a10.EliminateTrialDofs(ess_bdr, x.GetBlock(0), rhs.GetBlock(1));
|
||||
a10.Finalize();
|
||||
SparseMatrix &A10 = a10.SpMat();
|
||||
|
||||
|
||||
+2
-2
@@ -53,7 +53,7 @@ public:
|
||||
real_t min_val_=-36)
|
||||
: u(&u_), obstacle(&obst_), min_val(min_val_) { }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
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_) { }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override;
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip);
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
|
||||
+8
-8
@@ -52,8 +52,8 @@ public:
|
||||
fun(fun_) {}
|
||||
|
||||
|
||||
real_t Eval(ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override
|
||||
virtual real_t Eval(ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
return fun(GridFunctionCoefficient::Eval(T, ip));
|
||||
}
|
||||
@@ -83,8 +83,8 @@ public:
|
||||
OtherGridF_cf(OtherGridF),
|
||||
fun(fun_) {}
|
||||
|
||||
real_t Eval(ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override
|
||||
virtual real_t Eval(ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
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_) { }
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
|
||||
{
|
||||
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");
|
||||
}
|
||||
|
||||
real_t Eval(ElementTransformation &T, const IntegrationPoint &ip) override
|
||||
virtual real_t Eval(ElementTransformation &T, const IntegrationPoint &ip)
|
||||
{
|
||||
real_t L = lambda->Eval(T, ip);
|
||||
real_t M = mu->Eval(T, ip);
|
||||
@@ -176,8 +176,8 @@ public:
|
||||
|
||||
using VectorCoefficient::Eval;
|
||||
|
||||
void Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override
|
||||
virtual void Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
Vector xx; xx.SetSize(T.GetDimension());
|
||||
T.Transform(ip,xx);
|
||||
|
||||
+91
-124
@@ -3,18 +3,18 @@
|
||||
// Compile with: make ex38
|
||||
//
|
||||
// Sample runs:
|
||||
// (since all sample runs require LAPACK or ALGOIM, the * symbol is used to
|
||||
// exclude them from the automatically generated internal MFEM tests).
|
||||
// (since all sample runs require LAPACK, the * symbol is used to exclude them
|
||||
// from the automatically generated internal MFEM tests).
|
||||
// * ex38
|
||||
// * ex38 -i volumetric1d
|
||||
// * ex38 -i surface2d
|
||||
// * ex38 -i surface2d -o 4 -r 5 -m 1
|
||||
// * ex38 -i surface2d -o 4 -r 5
|
||||
// * ex38 -i volumetric2d
|
||||
// * ex38 -i volumetric2d -o 4 -r 5 -m 1
|
||||
// * ex38 -i volumetric2d -o 4 -r 5
|
||||
// * ex38 -i surface3d
|
||||
// * ex38 -i surface3d -o 3 -r 4 -m 1
|
||||
// * ex38 -i surface3d -o 4 -r 5
|
||||
// * ex38 -i volumetric3d
|
||||
// * ex38 -i volumetric3d -o 3 -r 4 -m 1
|
||||
// * ex38 -i volumetric3d -o 4 -r 5
|
||||
//
|
||||
// Description: This example code demonstrates the use of MFEM to integrate
|
||||
// functions over implicit interfaces and subdomains bounded by
|
||||
@@ -71,7 +71,7 @@ real_t integrand(const Vector& X)
|
||||
switch (itype)
|
||||
{
|
||||
case IntegrationType::Volumetric1D:
|
||||
return pow(X(0), 2.);
|
||||
return 1.;
|
||||
case IntegrationType::Surface2D:
|
||||
return 3. * pow(X(0), 2.) - pow(X(1), 2.);
|
||||
case IntegrationType::Volumetric2D:
|
||||
@@ -91,7 +91,7 @@ real_t Surface()
|
||||
switch (itype)
|
||||
{
|
||||
case IntegrationType::Volumetric1D:
|
||||
return .3025;
|
||||
return 1.;
|
||||
case IntegrationType::Surface2D:
|
||||
return 2. * M_PI;
|
||||
case IntegrationType::Volumetric2D:
|
||||
@@ -111,7 +111,7 @@ real_t Volume()
|
||||
switch (itype)
|
||||
{
|
||||
case IntegrationType::Volumetric1D:
|
||||
return pow(.55, 3.) / 3.;
|
||||
return .55;
|
||||
case IntegrationType::Surface2D:
|
||||
return NAN;
|
||||
case IntegrationType::Volumetric2D:
|
||||
@@ -125,6 +125,7 @@ real_t Volume()
|
||||
}
|
||||
}
|
||||
|
||||
#ifdef MFEM_USE_LAPACK
|
||||
/**
|
||||
@brief Class for surface IntegrationRule
|
||||
|
||||
@@ -134,14 +135,11 @@ real_t Volume()
|
||||
class SIntegrationRule : public IntegrationRule
|
||||
{
|
||||
protected:
|
||||
/// method 0 is moments-based, 1 is Algoim.
|
||||
int method, ir_order, ls_order;
|
||||
Coefficient &level_set;
|
||||
/// Space Dimension of the IntegrationRule
|
||||
/// @brief Space Dimension of the IntegrationRule
|
||||
int dim;
|
||||
/// Column-wise matrix of the quadtrature weights
|
||||
/// @brief Column-wise matrix of the quadtrature weights
|
||||
DenseMatrix Weights;
|
||||
/// Column-wise matrix of the transformation weights of the normal
|
||||
/// @brief Column-wise matrix of the transformation weights of the normal
|
||||
DenseMatrix SurfaceWeights;
|
||||
|
||||
public:
|
||||
@@ -155,21 +153,15 @@ public:
|
||||
@param [in] lsOrder Polynomial degree for approx of level-set function
|
||||
@param [in] mesh Pointer to the mesh that is used
|
||||
*/
|
||||
SIntegrationRule(int method_, int Order,
|
||||
Coefficient& LvlSet, int lsOrder, Mesh* mesh)
|
||||
: method(method_), ir_order(Order), ls_order(lsOrder),
|
||||
level_set(LvlSet), dim(mesh->Dimension())
|
||||
SIntegrationRule(int Order, Coefficient& LvlSet, int lsOrder, Mesh* mesh)
|
||||
{
|
||||
// Nothing gets pre-computed for Algoim.
|
||||
if (method == 1) { return; }
|
||||
|
||||
#ifdef MFEM_USE_LAPACK
|
||||
MomentFittingIntRules mf_ir(ir_order, level_set, ls_order);
|
||||
dim = mesh->Dimension();
|
||||
|
||||
IsoparametricTransformation Tr;
|
||||
MomentFittingIntRules MFIRs(Order, LvlSet, lsOrder);
|
||||
mesh->GetElementTransformation(0, &Tr);
|
||||
IntegrationRule ir;
|
||||
mf_ir.GetSurfaceIntegrationRule(Tr, ir);
|
||||
MFIRs.GetSurfaceIntegrationRule(Tr, ir);
|
||||
if (dim >1)
|
||||
{
|
||||
Weights.SetSize(ir.GetNPoints(), mesh->GetNE());
|
||||
@@ -180,7 +172,7 @@ public:
|
||||
}
|
||||
SurfaceWeights.SetSize(ir.GetNPoints(), mesh->GetNE());
|
||||
Vector w;
|
||||
mf_ir.GetSurfaceWeights(Tr, ir, w);
|
||||
MFIRs.GetSurfaceWeights(Tr, ir, w);
|
||||
SurfaceWeights.SetCol(0, w);
|
||||
SetSize(ir.GetNPoints());
|
||||
|
||||
@@ -206,8 +198,9 @@ public:
|
||||
for (int elem = 1; elem < mesh->GetNE(); elem++)
|
||||
{
|
||||
mesh->GetElementTransformation(elem, &Tr);
|
||||
mf_ir.GetSurfaceIntegrationRule(Tr, ir);
|
||||
mf_ir.GetSurfaceWeights(Tr, ir, w);
|
||||
MFIRs.GetSurfaceIntegrationRule(Tr, ir);
|
||||
Vector w;
|
||||
MFIRs.GetSurfaceWeights(Tr, ir, w);
|
||||
SurfaceWeights.SetCol(elem, w);
|
||||
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
@@ -223,48 +216,48 @@ public:
|
||||
}
|
||||
}
|
||||
}
|
||||
#else
|
||||
MFEM_ABORT("Moment-fitting requires MFEM to be built with LAPACK!");
|
||||
#endif
|
||||
}
|
||||
|
||||
/**
|
||||
@brief Set the weights for the given element and multiply them with the
|
||||
transformation of the interface
|
||||
*/
|
||||
void SetElementAndSurfaceWeight(ElementTransformation &Tr)
|
||||
void SetElementinclSurfaceWeight(int Element)
|
||||
{
|
||||
if (method == 1)
|
||||
{
|
||||
#ifdef MFEM_USE_ALGOIM
|
||||
AlgoimIntegrationRules a_ir(ir_order, level_set, ls_order);
|
||||
a_ir.GetSurfaceIntegrationRule(Tr, *this);
|
||||
Vector w;
|
||||
a_ir.GetSurfaceWeights(Tr, *this, w);
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
IntPoint(ip).weight *= w(ip);
|
||||
}
|
||||
return;
|
||||
#else
|
||||
MFEM_ABORT("MFEM is not built with Algoim support!");
|
||||
#endif
|
||||
}
|
||||
|
||||
if (dim == 1)
|
||||
{
|
||||
IntPoint(0).x = Weights(0, Tr.ElementNo);
|
||||
IntPoint(0).weight = Weights(1, Tr.ElementNo);
|
||||
IntegrationPoint &intp = IntPoint(0);
|
||||
intp.x = Weights(0, Element);
|
||||
intp.weight = Weights(1, Element);
|
||||
cout << intp.x << " " << Element << endl;
|
||||
}
|
||||
else
|
||||
{
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
IntPoint(ip).weight = Weights(ip, Tr.ElementNo) *
|
||||
SurfaceWeights(ip, Tr.ElementNo);
|
||||
IntegrationPoint &intp = IntPoint(ip);
|
||||
intp.weight = Weights(ip, Element) * SurfaceWeights(ip, Element);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// @brief Set the weights for the given element
|
||||
void SetElement(int Element)
|
||||
{
|
||||
if (dim == 1)
|
||||
{
|
||||
IntegrationPoint &intp = IntPoint(0);
|
||||
intp.x = Weights(0, Element);
|
||||
intp.weight = Weights(1, Element);
|
||||
}
|
||||
else
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
IntegrationPoint &intp = IntPoint(ip);
|
||||
intp.weight = Weights(ip, Element);
|
||||
}
|
||||
}
|
||||
|
||||
/// @brief Destructor of SIntegrationRule
|
||||
~SIntegrationRule() {}
|
||||
};
|
||||
|
||||
/**
|
||||
@@ -276,12 +269,9 @@ public:
|
||||
class CIntegrationRule : public IntegrationRule
|
||||
{
|
||||
protected:
|
||||
/// method 0 is moments-based, 1 is Algoim.
|
||||
int method, ir_order, ls_order;
|
||||
Coefficient &level_set;
|
||||
/// Space Dimension of the IntegrationRule
|
||||
/// @brief Space Dimension of the IntegrationRule
|
||||
int dim;
|
||||
/// Column-wise matrix of the quadtrature positions and weights.
|
||||
/// @brief Column-wise matrix of the quadtrature weights
|
||||
DenseMatrix Weights;
|
||||
|
||||
public:
|
||||
@@ -295,21 +285,15 @@ public:
|
||||
@param [in] lsOrder Polynomial degree for approx of level-set function
|
||||
@param [in] mesh Pointer to the mesh that is used
|
||||
*/
|
||||
CIntegrationRule(int method_, int Order,
|
||||
Coefficient &LvlSet, int lsOrder, Mesh *mesh)
|
||||
: method(method_), ir_order(Order), ls_order(lsOrder),
|
||||
level_set(LvlSet), dim(mesh->Dimension())
|
||||
CIntegrationRule(int Order, Coefficient& LvlSet, int lsOrder, Mesh* mesh)
|
||||
{
|
||||
// Nothing gets pre-computed for Algoim.
|
||||
if (method == 1) { return; }
|
||||
|
||||
#ifdef MFEM_USE_LAPACK
|
||||
MomentFittingIntRules mf_ir(ir_order, level_set, ls_order);
|
||||
dim = mesh->Dimension();
|
||||
|
||||
IsoparametricTransformation Tr;
|
||||
MomentFittingIntRules MFIRs(Order, LvlSet, lsOrder);
|
||||
mesh->GetElementTransformation(0, &Tr);
|
||||
IntegrationRule ir;
|
||||
mf_ir.GetVolumeIntegrationRule(Tr, ir);
|
||||
MFIRs.GetVolumeIntegrationRule(Tr, ir);
|
||||
if (dim > 1)
|
||||
{
|
||||
Weights.SetSize(ir.GetNPoints(), mesh->GetNE());
|
||||
@@ -341,9 +325,9 @@ public:
|
||||
for (int elem = 1; elem < mesh->GetNE(); elem++)
|
||||
{
|
||||
mesh->GetElementTransformation(elem, &Tr);
|
||||
mf_ir.GetVolumeIntegrationRule(Tr, ir);
|
||||
MFIRs.GetVolumeIntegrationRule(Tr, ir);
|
||||
|
||||
for (int ip = 0; ip < ir.GetNPoints(); ip++)
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
if (dim > 1)
|
||||
{
|
||||
@@ -356,39 +340,29 @@ public:
|
||||
}
|
||||
}
|
||||
}
|
||||
#else
|
||||
MFEM_ABORT("Moment-fitting requires MFEM to be built with LAPACK!");
|
||||
#endif
|
||||
}
|
||||
|
||||
/// @brief Set the weights for the given element
|
||||
void SetElement(ElementTransformation &Tr)
|
||||
void SetElement(int Element)
|
||||
{
|
||||
if (method == 1)
|
||||
{
|
||||
#ifdef MFEM_USE_ALGOIM
|
||||
AlgoimIntegrationRules a_ir(ir_order, level_set, ls_order);
|
||||
a_ir.GetVolumeIntegrationRule(Tr, *this);
|
||||
return;
|
||||
#else
|
||||
MFEM_ABORT("MFEM is not built with Algoim support!");
|
||||
#endif
|
||||
}
|
||||
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
IntegrationPoint &intp = IntPoint(ip);
|
||||
if (dim == 1)
|
||||
if (dim == 1)
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
intp.x = Weights(2 * ip, Tr.ElementNo);
|
||||
intp.weight = Weights(2 * ip + 1, Tr.ElementNo);
|
||||
IntegrationPoint &intp = IntPoint(ip);
|
||||
intp.x = Weights(2 * ip, Element);
|
||||
intp.weight = Weights(2 * ip + 1, Element);
|
||||
}
|
||||
else
|
||||
for (int ip = 0; ip < GetNPoints(); ip++)
|
||||
{
|
||||
IntegrationPoint &intp = IntPoint(ip);
|
||||
intp.weight = Weights(ip, Element);
|
||||
}
|
||||
else { intp.weight = Weights(ip, Tr.ElementNo); }
|
||||
}
|
||||
}
|
||||
|
||||
/// @brief Destructor of CIntegrationRule
|
||||
~CIntegrationRule() {}
|
||||
};
|
||||
|
||||
|
||||
/**
|
||||
@brief Class for surface linearform integrator
|
||||
|
||||
@@ -435,9 +409,9 @@ public:
|
||||
@param [in] Tr transformation of finite element
|
||||
@param [out] elvect vector containing the
|
||||
*/
|
||||
void AssembleRHSElementVect(const FiniteElement &el,
|
||||
ElementTransformation &Tr,
|
||||
Vector &elvect) override
|
||||
virtual void AssembleRHSElementVect(const FiniteElement &el,
|
||||
ElementTransformation &Tr,
|
||||
Vector &elvect) override
|
||||
{
|
||||
int dof = el.GetDof();
|
||||
shape.SetSize(dof);
|
||||
@@ -445,7 +419,7 @@ public:
|
||||
elvect = 0.;
|
||||
|
||||
// Update the surface integration rule for the current element
|
||||
SIntRule->SetElementAndSurfaceWeight(Tr);
|
||||
SIntRule->SetElementinclSurfaceWeight(Tr.ElementNo);
|
||||
|
||||
for (int ip = 0; ip < SIntRule->GetNPoints(); ip++)
|
||||
{
|
||||
@@ -455,8 +429,6 @@ public:
|
||||
add(elvect, SIntRule->IntPoint(ip).weight * val, shape, elvect);
|
||||
}
|
||||
}
|
||||
|
||||
using LinearFormIntegrator::AssembleRHSElementVect;
|
||||
};
|
||||
|
||||
/**
|
||||
@@ -505,9 +477,9 @@ public:
|
||||
@param [in] Tr transformation of finite element
|
||||
@param [out] elvect vector containing the
|
||||
*/
|
||||
void AssembleRHSElementVect(const FiniteElement &el,
|
||||
ElementTransformation &Tr,
|
||||
Vector &elvect) override
|
||||
virtual void AssembleRHSElementVect(const FiniteElement &el,
|
||||
ElementTransformation &Tr,
|
||||
Vector &elvect) override
|
||||
{
|
||||
int dof = el.GetDof();
|
||||
shape.SetSize(dof);
|
||||
@@ -515,7 +487,7 @@ public:
|
||||
elvect = 0.;
|
||||
|
||||
// Update the subdomain integration rule
|
||||
CIntRule->SetElement(Tr);
|
||||
CIntRule->SetElement(Tr.ElementNo);
|
||||
|
||||
for (int ip = 0; ip < CIntRule->GetNPoints(); ip++)
|
||||
{
|
||||
@@ -526,17 +498,18 @@ public:
|
||||
add(elvect, CIntRule->IntPoint(ip).weight * val, shape, elvect);
|
||||
}
|
||||
}
|
||||
|
||||
using LinearFormIntegrator::AssembleRHSElementVect;
|
||||
};
|
||||
#endif // MFEM_USE_LAPACK
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
#if defined(MFEM_USE_LAPACK) || defined(MFEM_USE_ALGOIM)
|
||||
#ifndef MFEM_USE_LAPACK
|
||||
cout << "MFEM must be built with LAPACK for this example." << endl;
|
||||
return MFEM_SKIP_RETURN_VALUE;
|
||||
#else
|
||||
// 1. Parse he command-line options.
|
||||
int ref_levels = 3;
|
||||
int order = 2;
|
||||
int method = 0;
|
||||
const char *inttype = "surface2d";
|
||||
bool visualization = true;
|
||||
itype = IntegrationType::Surface2D;
|
||||
@@ -544,8 +517,6 @@ int main(int argc, char *argv[])
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&order, "-o", "--order", "Order of quadrature rule");
|
||||
args.AddOption(&ref_levels, "-r", "--refine", "Number of meh refinements");
|
||||
args.AddOption(&method, "-m", "--method",
|
||||
"Cut integration method: 0 for moments-based, 1 for Algoim.");
|
||||
args.AddOption(&inttype, "-i", "--integrationtype",
|
||||
"IntegrationType to demonstrate");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
@@ -580,7 +551,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 2. Construct and refine the mesh.
|
||||
Mesh *mesh = nullptr;
|
||||
Mesh *mesh;
|
||||
if (itype == IntegrationType::Volumetric1D)
|
||||
{
|
||||
mesh = new Mesh("../data/inline-segment.mesh");
|
||||
@@ -628,14 +599,13 @@ int main(int argc, char *argv[])
|
||||
// 5. Define the necessary Integration rules on element 0.
|
||||
IsoparametricTransformation Tr;
|
||||
mesh->GetElementTransformation(0, &Tr);
|
||||
SIntegrationRule* sir = new SIntegrationRule(method, order,
|
||||
levelset, 2, mesh);
|
||||
SIntegrationRule* sir = new SIntegrationRule(order, levelset, 2, mesh);
|
||||
CIntegrationRule* cir = NULL;
|
||||
if (itype == IntegrationType::Volumetric1D
|
||||
|| itype == IntegrationType::Volumetric2D
|
||||
|| itype == IntegrationType::Volumetric3D)
|
||||
{
|
||||
cir = new CIntegrationRule(method, order, levelset, 2, mesh);
|
||||
cir = new CIntegrationRule(order, levelset, 2, mesh);
|
||||
}
|
||||
|
||||
// 6. Define and assemble the linear forms on the finite element space.
|
||||
@@ -678,11 +648,11 @@ int main(int argc, char *argv[])
|
||||
cout << "Number of div free basis functions: " << nbasis << endl;
|
||||
cout << "Number of quadrature points: " << ir.GetNPoints() << endl;
|
||||
}
|
||||
cout << scientific << setprecision(10);
|
||||
cout << scientific << setprecision(2);
|
||||
cout << "============================================" << endl;
|
||||
cout << "Computed value of surface integral: " << surface.Sum() << endl;
|
||||
cout << "True value of surface integral: " << Surface() << endl;
|
||||
cout << "Absolute Error (Surface): ";
|
||||
cout << "Absolute Error (Surface): ";
|
||||
cout << abs(surface.Sum() - Surface()) << endl;
|
||||
cout << "Relative Error (Surface): ";
|
||||
cout << abs(surface.Sum() - Surface()) / Surface() << endl;
|
||||
@@ -693,7 +663,7 @@ int main(int argc, char *argv[])
|
||||
cout << "--------------------------------------------" << endl;
|
||||
cout << "Computed value of volume integral: " << volume.Sum() << endl;
|
||||
cout << "True value of volume integral: " << Volume() << endl;
|
||||
cout << "Absolute Error (Volume): ";
|
||||
cout << "Absolute Error (Volume): ";
|
||||
cout << abs(volume.Sum() - Volume()) << endl;
|
||||
cout << "Relative Error (Volume): ";
|
||||
cout << abs(volume.Sum() - Volume()) / Volume() << endl;
|
||||
@@ -722,8 +692,5 @@ int main(int argc, char *argv[])
|
||||
delete fespace;
|
||||
delete mesh;
|
||||
return EXIT_SUCCESS;
|
||||
#else
|
||||
cout << "MFEM must be built with LAPACK or ALGOIM for this example." << endl;
|
||||
return MFEM_SKIP_RETURN_VALUE;
|
||||
#endif // MFEM_USE_LAPACK
|
||||
#endif //MFEM_USE_LAPACK
|
||||
}
|
||||
|
||||
+294
-259
@@ -2,53 +2,39 @@
|
||||
//
|
||||
// Compile with: make ex40
|
||||
//
|
||||
// Sample runs: ex40 -step 10 -gr 2.0
|
||||
// ex40 -step 10 -gr 2.0 -o 3 -r 1
|
||||
// ex40 -step 10 -gr 2.0 -r 4 -m ../data/l-shape.mesh
|
||||
// ex40 -step 10 -gr 2.0 -r 2 -m ../data/fichera.mesh
|
||||
// Sample runs: ex40 -o 2
|
||||
// ex40 -o 2 -r 4
|
||||
//
|
||||
// Description: This example code demonstrates how to use MFEM to solve the
|
||||
// eikonal equation,
|
||||
// Description: This example code demonstrates to how to use MFEM to solve
|
||||
// the Monge–Ampère equation
|
||||
//
|
||||
// |∇𝑢| = 1 in Ω, 𝑢 = g on ∂Ω.
|
||||
// det(∇²u) = f in Ω, u = 0 on ∂Ω.
|
||||
//
|
||||
// The solution of this problem coincides with the unique optimum of
|
||||
// the nonlinear program
|
||||
// This example highlights the ExponentialMatrixCoefficient
|
||||
// class, which is used in Newton's method to solve the
|
||||
// variational formulation
|
||||
//
|
||||
// maximize ∫_Ω 𝑢 d𝑥 subject to |∇𝑢| ≤ 1, 𝑢 = g on Ω, (⋆)
|
||||
// Find M ∈ H₀(div,Ω)ⁿ and u ∈ H₀¹(Ω) such that
|
||||
// (exp(M), N) + (∇u, ∇⋅N) = 0 ∀ N ∈ H₀(div,Ω)ⁿ
|
||||
// (tr(M), v) = (ln f, v) ∀ v ∈ H₀¹(Ω)
|
||||
//
|
||||
// which is the foundation for method implemented below.
|
||||
// where n is the spatial dimension of the domain Ω.
|
||||
//
|
||||
// Following the proximal Galerkin methodology [1] (see also Example
|
||||
// 36), we construct a Legendre function for the unit ball
|
||||
// 𝐵₁ := {𝑥 ∈ Rⁿ | |𝑥| < 1}. Our choice is the Hellinger entropy,
|
||||
//
|
||||
// h(𝑥) = −( 1 − |𝑥|² )^{1/2},
|
||||
// The linearized subproblem is
|
||||
//
|
||||
// although other choices are possible, each leading to a slightly
|
||||
// different algorithm. We then adaptively regularize the optimization
|
||||
// problem (⋆) with the Bregman divergence of the Hellinger entropy,
|
||||
// Find δM ∈ H₀(div,Ω)ⁿ and u ∈ H₀¹(Ω) such that
|
||||
// (exp(M) δM, N) + (∇u, ∇⋅N) = -(exp(M), N) ∀ N ∈ H₀(div,Ω)ⁿ
|
||||
// (tr(δM), v) = (ln f - tr(M), v) ∀ v ∈ H₀¹(Ω)
|
||||
//
|
||||
// maximize ∫_Ω 𝑢 d𝑥 - αₖ⁻¹ Dₕ(∇𝑢,∇𝑢ₖ₋₁) subject to 𝑢 = g on Ω.
|
||||
//
|
||||
// This results in a sequence of functions ( 𝜓ₖ , 𝑢ₖ ),
|
||||
// (exp(M) δM, N) ::: VectorFEMassIntegrator
|
||||
// (∇u, ∇⋅N) ::: MixedGradDivIntegrator
|
||||
// (tr(δM), v) ::: MixedDotProductIntegrator
|
||||
// (exp(M), N) ::: VectorFEDomainLFIntegrator
|
||||
// (ln f - tr(M), v) ::: DomainLFIntegrator
|
||||
//
|
||||
// 𝑢ₖ → 𝑢, 𝜓ₖ/|𝜓ₖ| → ∇𝑢 as k → \infty,
|
||||
//
|
||||
// defined by the nonlinear saddle-point problems
|
||||
//
|
||||
// Find 𝜓ₖ ∈ H(div,Ω) and 𝑢ₖ ∈ L²(Ω) such that
|
||||
// ( Zₖ(𝜓ₖ) , τ ) + ( 𝑢ₖ , ∇⋅τ ) = ⟨ g , τ⋅n ⟩ ∀ τ ∈ H(div,Ω)
|
||||
// ( ∇⋅𝜓ₖ , v ) = ( ∇⋅𝜓ₖ₋₁ - 1 , v ) ∀ v ∈ L²(Ω)
|
||||
//
|
||||
// where Zₖ(𝜓) := ∇h⁻¹(αₖ 𝜓) = 𝜓 / ( αₖ⁻² + |𝜓|² )^{1/2} and step size
|
||||
// αₖ > 0. These saddle-point problems are solved using a damped Newton's
|
||||
// method. This example assumes that g = 0 and allows the step size to
|
||||
// grow geometrically, αₖ = α₀rᵏ, where r ≥ 1 is the growth rate.
|
||||
//
|
||||
// [1] Keith, B. and Surowiec, T. (2023) Proximal Galerkin: A structure-
|
||||
// preserving finite element method for pointwise bound constraints.
|
||||
// arXiv:2307.12444 [math.NA]
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
@@ -57,55 +43,23 @@
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
class ZCoefficient : public VectorCoefficient
|
||||
{
|
||||
protected:
|
||||
GridFunction *psi;
|
||||
real_t alpha;
|
||||
|
||||
public:
|
||||
ZCoefficient(int vdim, GridFunction &psi_, real_t alpha_ = 1.0)
|
||||
: VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
|
||||
|
||||
using VectorCoefficient::Eval;
|
||||
|
||||
void Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override;
|
||||
void SetAlpha(real_t alpha_) { alpha = alpha_; }
|
||||
};
|
||||
|
||||
class DZCoefficient : public MatrixCoefficient
|
||||
{
|
||||
protected:
|
||||
GridFunction *psi;
|
||||
real_t alpha;
|
||||
|
||||
public:
|
||||
DZCoefficient(int height, GridFunction &psi_, real_t alpha_ = 1.0)
|
||||
: MatrixCoefficient(height), psi(&psi_), alpha(alpha_) { }
|
||||
|
||||
void Eval(DenseMatrix &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override;
|
||||
void SetAlpha(real_t alpha_) { alpha = alpha_; }
|
||||
};
|
||||
real_t exact_solution(const Vector &pt);
|
||||
void exact_solution_gradient(const Vector &pt, Vector &grad);
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Parse command-line options.
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
int max_it = 5;
|
||||
int ref_levels = 3;
|
||||
real_t alpha = 1.0;
|
||||
real_t growth_rate = 1.0;
|
||||
real_t newton_scaling = 0.9;
|
||||
real_t tichonov = 1e-1;
|
||||
real_t tol = 1e-4;
|
||||
const char *mesh_file = "../data/disc-nurbs.mesh";
|
||||
// const char *mesh_file = "../data/star.mesh";
|
||||
int order = 2;
|
||||
int max_it = 10;
|
||||
int ref_levels = 1;
|
||||
real_t tol = 1e-5;
|
||||
bool visualization = true;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
"Mesh file to use.");
|
||||
"Mesh file.");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&ref_levels, "-r", "--refs",
|
||||
@@ -115,10 +69,6 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&tol, "-tol", "--tol",
|
||||
"Stopping criteria based on the difference between"
|
||||
"successive solution updates");
|
||||
args.AddOption(&alpha, "-step", "--step",
|
||||
"Initial size alpha");
|
||||
args.AddOption(&growth_rate, "-gr", "--growth-rate",
|
||||
"Growth rate of the step size alpha");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
@@ -133,12 +83,11 @@ int main(int argc, char *argv[])
|
||||
// 2. Read the mesh from the mesh file.
|
||||
Mesh mesh(mesh_file, 1, 1);
|
||||
int dim = mesh.Dimension();
|
||||
int sdim = mesh.SpaceDimension();
|
||||
|
||||
MFEM_ASSERT(mesh.bdr_attributes.Size(),
|
||||
"This example does not currently support meshes"
|
||||
" without boundary attributes."
|
||||
)
|
||||
if (dim != 2)
|
||||
{
|
||||
MFEM_ABORT("Example 40 currently only supports 2D problems")
|
||||
}
|
||||
|
||||
// 3. Postprocess the mesh.
|
||||
// 3A. Refine the mesh to increase the resolution.
|
||||
@@ -153,45 +102,73 @@ int main(int argc, char *argv[])
|
||||
mesh.SetCurvature(curvature_order);
|
||||
|
||||
// 4. Define the necessary finite element spaces on the mesh.
|
||||
RT_FECollection RTfec(order, dim);
|
||||
H1_FECollection H1fec(order, dim);
|
||||
FiniteElementSpace H1fes(&mesh, &H1fec);
|
||||
|
||||
RT_FECollection RTfec(order-1, dim);
|
||||
FiniteElementSpace RTfes(&mesh, &RTfec);
|
||||
|
||||
L2_FECollection L2fec(order, dim);
|
||||
FiniteElementSpace L2fes(&mesh, &L2fec);
|
||||
cout << "Number of H¹ degrees of freedom: "
|
||||
<< H1fes.GetTrueVSize() << endl;
|
||||
cout << "Number of H(div) degrees of freedom: "
|
||||
<< RTfes.GetTrueVSize() * dim << endl;
|
||||
|
||||
cout << "Number of H(div) dofs: "
|
||||
<< RTfes.GetTrueVSize() << endl;
|
||||
cout << "Number of L² dofs: "
|
||||
<< L2fes.GetTrueVSize() << endl;
|
||||
|
||||
// 5. Define the offsets for the block matrices
|
||||
Array<int> offsets(3);
|
||||
Array<int> offsets(4);
|
||||
offsets[0] = 0;
|
||||
offsets[1] = RTfes.GetVSize();
|
||||
offsets[2] = L2fes.GetVSize();
|
||||
offsets[2] = RTfes.GetVSize();
|
||||
offsets[3] = H1fes.GetVSize();
|
||||
offsets.PartialSum();
|
||||
|
||||
BlockVector x(offsets), rhs(offsets);
|
||||
x = 0.0; rhs = 0.0;
|
||||
|
||||
// 6. Define the solution vectors as a finite element grid functions
|
||||
// 5. Determine the list of true (i.e., conforming) essential boundary dofs.
|
||||
Array<int> ess_bdr;
|
||||
if (mesh.bdr_attributes.Size())
|
||||
{
|
||||
ess_bdr.SetSize(mesh.bdr_attributes.Max());
|
||||
ess_bdr = 1;
|
||||
}
|
||||
|
||||
// 6. Define constants to be used later.
|
||||
ConstantCoefficient one(1.0);
|
||||
ConstantCoefficient neg_one(-1.0);
|
||||
ConstantCoefficient zero(0.0);
|
||||
Vector V1(2), V2(2);
|
||||
V1(0) = 1.0; V1(1) = 0.0;
|
||||
V2(0) = 0.0; V2(1) = 1.0;
|
||||
VectorConstantCoefficient onezero(V1);
|
||||
VectorConstantCoefficient zeroone(V2);
|
||||
ScalarVectorProductCoefficient neg_onezero(-1.0, onezero);
|
||||
ScalarVectorProductCoefficient neg_zeroone(-1.0, zeroone);
|
||||
|
||||
// 7. Define the solution vectors as finite element grid functions
|
||||
// corresponding to the fespaces.
|
||||
GridFunction u_gf, delta_psi_gf;
|
||||
delta_psi_gf.MakeRef(&RTfes,x,offsets[0]);
|
||||
u_gf.MakeRef(&L2fes,x,offsets[1]);
|
||||
GridFunction delta_M1_gf, delta_M2_gf, delta_u_gf;
|
||||
|
||||
GridFunction psi_old_gf(&RTfes);
|
||||
GridFunction psi_gf(&RTfes);
|
||||
GridFunction u_old_gf(&L2fes);
|
||||
delta_M1_gf.MakeRef(&RTfes,x,offsets[0]);
|
||||
delta_M2_gf.MakeRef(&RTfes,x,offsets[1]);
|
||||
delta_u_gf.MakeRef(&H1fes,x,offsets[2]);
|
||||
|
||||
// 7. Define initial guesses for the solution variables.
|
||||
delta_psi_gf = 0.0;
|
||||
psi_gf = 0.0;
|
||||
u_gf = 0.0;
|
||||
psi_old_gf = psi_gf;
|
||||
u_old_gf = u_gf;
|
||||
GridFunction M1_gf(&RTfes);
|
||||
GridFunction M2_gf(&RTfes);
|
||||
GridFunction u_gf(&H1fes);
|
||||
|
||||
// 8. Define the function coefficients for the solution and use them to
|
||||
// initialize the initial guess
|
||||
FunctionCoefficient exact_coef(exact_solution);
|
||||
VectorFunctionCoefficient exact_grad_coef(dim,exact_solution_gradient);
|
||||
ConstantCoefficient ln_rhs_coef(0.0);
|
||||
u_gf.ProjectCoefficient(exact_coef);
|
||||
// u_gf.ProjectCoefficient(zero);
|
||||
M1_gf = 0.0;
|
||||
M2_gf = 0.0;
|
||||
|
||||
delta_M1_gf = 0.0;
|
||||
delta_M2_gf = 0.0;
|
||||
delta_u_gf = 0.0;
|
||||
|
||||
// 8. Prepare for glvis output.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock;
|
||||
@@ -201,176 +178,234 @@ int main(int argc, char *argv[])
|
||||
sol_sock.precision(8);
|
||||
}
|
||||
|
||||
// 9. Coefficients to be used later.
|
||||
ConstantCoefficient neg_one(-1.0);
|
||||
ConstantCoefficient zero(0.0);
|
||||
ConstantCoefficient tichonov_cf(tichonov);
|
||||
ConstantCoefficient neg_tichonov_cf(-1.0*tichonov);
|
||||
ZCoefficient Z(sdim, psi_gf, alpha);
|
||||
DZCoefficient DZ(sdim, psi_gf, alpha);
|
||||
ScalarVectorProductCoefficient neg_Z(-1.0, Z);
|
||||
DivergenceGridFunctionCoefficient div_psi_cf(&psi_gf);
|
||||
DivergenceGridFunctionCoefficient div_psi_old_cf(&psi_old_gf);
|
||||
SumCoefficient psi_old_minus_psi(div_psi_old_cf, div_psi_cf, 1.0, -1.0);
|
||||
|
||||
// 10. Assemble constant matrices/vectors to avoid reassembly in the loop.
|
||||
LinearForm b0, b1;
|
||||
b0.MakeRef(&RTfes,rhs.GetBlock(0),0);
|
||||
b1.MakeRef(&L2fes,rhs.GetBlock(1),0);
|
||||
|
||||
b0.AddDomainIntegrator(new VectorFEDomainLFIntegrator(neg_Z));
|
||||
b1.AddDomainIntegrator(new DomainLFIntegrator(neg_one));
|
||||
b1.AddDomainIntegrator(new DomainLFIntegrator(psi_old_minus_psi));
|
||||
|
||||
BilinearForm a00(&RTfes);
|
||||
a00.AddDomainIntegrator(new VectorFEMassIntegrator(DZ));
|
||||
a00.AddDomainIntegrator(new VectorFEMassIntegrator(tichonov_cf));
|
||||
|
||||
MixedBilinearForm a10(&RTfes,&L2fes);
|
||||
a10.AddDomainIntegrator(new VectorFEDivergenceIntegrator());
|
||||
a10.Assemble();
|
||||
a10.Finalize();
|
||||
SparseMatrix &A10 = a10.SpMat();
|
||||
SparseMatrix *A01 = Transpose(A10);
|
||||
|
||||
BilinearForm a11(&L2fes);
|
||||
a11.AddDomainIntegrator(new MassIntegrator(neg_tichonov_cf));
|
||||
a11.Assemble();
|
||||
a11.Finalize();
|
||||
SparseMatrix &A11 = a11.SpMat();
|
||||
|
||||
// 11. Iterate.
|
||||
// 10. Iterate
|
||||
int k;
|
||||
int total_iterations = 0;
|
||||
real_t increment_u = 0.1;
|
||||
GridFunction u_tmp(&L2fes);
|
||||
for (k = 0; k < max_it; k++)
|
||||
{
|
||||
u_tmp = u_old_gf;
|
||||
Z.SetAlpha(alpha);
|
||||
DZ.SetAlpha(alpha);
|
||||
mfem::out << "\nITERATION " << k+1 << endl;
|
||||
|
||||
mfem::out << "\nOUTER ITERATION " << k+1 << endl;
|
||||
LinearForm b0,b1,b2;
|
||||
b0.Update(&RTfes,rhs.GetBlock(0),0);
|
||||
b1.Update(&RTfes,rhs.GetBlock(1),0);
|
||||
b2.Update(&H1fes,rhs.GetBlock(2),0);
|
||||
|
||||
int j;
|
||||
for ( j = 0; j < 5; j++)
|
||||
VectorGridFunctionCoefficient M1(&M1_gf);
|
||||
VectorGridFunctionCoefficient M2(&M2_gf);
|
||||
|
||||
MatrixArrayVectorCoefficient M(dim);
|
||||
M.Set(0, &M1, false);
|
||||
M.Set(1, &M2, false);
|
||||
ExponentialMatrixCoefficient exp_M(M);
|
||||
|
||||
MatrixVectorProductCoefficient exp_M1(exp_M, onezero);
|
||||
MatrixVectorProductCoefficient exp_M2(exp_M, zeroone);
|
||||
InnerProductCoefficient exp_M11(exp_M1, onezero);
|
||||
InnerProductCoefficient exp_M12(exp_M1, zeroone);
|
||||
InnerProductCoefficient exp_M21(exp_M2, onezero);
|
||||
InnerProductCoefficient exp_M22(exp_M2, zeroone);
|
||||
|
||||
GradientGridFunctionCoefficient grad_u(&u_gf);
|
||||
InnerProductCoefficient neg_dudx(neg_onezero, grad_u);
|
||||
ScalarVectorProductCoefficient neg_exp_M1(-1.0, exp_M1);
|
||||
b0.AddDomainIntegrator(new VectorFEDomainLFDivIntegrator(neg_dudx));
|
||||
b0.AddDomainIntegrator(new VectorFEDomainLFIntegrator(neg_exp_M1));
|
||||
b0.Assemble();
|
||||
|
||||
InnerProductCoefficient neg_dudy(neg_zeroone, grad_u);
|
||||
b1.AddDomainIntegrator(new VectorFEDomainLFDivIntegrator(neg_dudy));
|
||||
ScalarVectorProductCoefficient neg_exp_M2(-1.0, exp_M2);
|
||||
b1.AddDomainIntegrator(new VectorFEDomainLFIntegrator(neg_exp_M2));
|
||||
b1.Assemble();
|
||||
|
||||
InnerProductCoefficient M11(M1, onezero);
|
||||
InnerProductCoefficient M22(M2, zeroone);
|
||||
SumCoefficient trace_M(M11, M22);
|
||||
SumCoefficient rhs2(ln_rhs_coef, trace_M, 1.0, -1.0);
|
||||
b2.AddDomainIntegrator(new DomainLFIntegrator(rhs2));
|
||||
b2.Assemble();
|
||||
|
||||
cout << "b0.Norml2() = " << b0.Norml2() << endl;
|
||||
cout << "b1.Norml2() = " << b1.Norml2() << endl;
|
||||
cout << "b2.Norml2() = " << b2.Norml2() << endl;
|
||||
|
||||
BilinearForm a00(&RTfes);
|
||||
a00.AddDomainIntegrator(new VectorFEMassIntegrator());
|
||||
// a00.AddDomainIntegrator(new VectorFEMassIntegrator(exp_M11));
|
||||
a00.Assemble();
|
||||
a00.EliminateEssentialBC(ess_bdr,x.GetBlock(0),rhs.GetBlock(0),mfem::Operator::DIAG_ONE);
|
||||
a00.Finalize();
|
||||
SparseMatrix &A00 = a00.SpMat();
|
||||
|
||||
BilinearForm a01(&RTfes);
|
||||
a01.AddDomainIntegrator(new VectorFEMassIntegrator(zero));
|
||||
// a01.AddDomainIntegrator(new VectorFEMassIntegrator(exp_M12));
|
||||
a01.Assemble();
|
||||
a01.EliminateEssentialBC(ess_bdr,mfem::Operator::DIAG_ZERO);
|
||||
a01.Finalize();
|
||||
SparseMatrix &A01 = a01.SpMat();
|
||||
|
||||
MixedBilinearForm a02(&H1fes,&RTfes);
|
||||
a02.AddDomainIntegrator(new MixedGradDivIntegrator(neg_onezero));
|
||||
a02.Assemble(false);
|
||||
a02.EliminateTrialDofs(ess_bdr,x.GetBlock(2),rhs.GetBlock(0));
|
||||
a02.EliminateTestDofs(ess_bdr);
|
||||
a02.Finalize();
|
||||
SparseMatrix &A02 = a02.SpMat();
|
||||
|
||||
BilinearForm a10(&RTfes);
|
||||
a10.AddDomainIntegrator(new VectorFEMassIntegrator(zero));
|
||||
// a10.AddDomainIntegrator(new VectorFEMassIntegrator(exp_M21));
|
||||
a10.Assemble();
|
||||
a10.EliminateEssentialBC(ess_bdr,mfem::Operator::DIAG_ZERO);
|
||||
a10.Finalize();
|
||||
SparseMatrix &A10 = a10.SpMat();
|
||||
|
||||
BilinearForm a11(&RTfes);
|
||||
a11.AddDomainIntegrator(new VectorFEMassIntegrator());
|
||||
// a11.AddDomainIntegrator(new VectorFEMassIntegrator(exp_M22));
|
||||
a11.Assemble();
|
||||
a11.EliminateEssentialBC(ess_bdr,x.GetBlock(1),rhs.GetBlock(1),mfem::Operator::DIAG_ONE);
|
||||
a11.Finalize();
|
||||
SparseMatrix &A11 = a11.SpMat();
|
||||
|
||||
MixedBilinearForm a12(&H1fes,&RTfes);
|
||||
a12.AddDomainIntegrator(new MixedGradDivIntegrator(neg_zeroone));
|
||||
a12.Assemble(false);
|
||||
a12.EliminateTrialDofs(ess_bdr,x.GetBlock(2),rhs.GetBlock(1));
|
||||
a12.EliminateTestDofs(ess_bdr);
|
||||
a12.Finalize();
|
||||
SparseMatrix &A12 = a12.SpMat();
|
||||
|
||||
MixedBilinearForm a20(&RTfes,&H1fes);
|
||||
a20.AddDomainIntegrator(new MixedDotProductIntegrator(onezero));
|
||||
a20.Assemble();
|
||||
a20.EliminateTrialDofs(ess_bdr,x.GetBlock(0),rhs.GetBlock(2));
|
||||
a20.EliminateTestDofs(ess_bdr);
|
||||
a20.Finalize();
|
||||
SparseMatrix &A20 = a20.SpMat();
|
||||
|
||||
MixedBilinearForm a21(&RTfes,&H1fes);
|
||||
a21.AddDomainIntegrator(new MixedDotProductIntegrator(zeroone));
|
||||
a21.Assemble();
|
||||
a21.EliminateTrialDofs(ess_bdr,x.GetBlock(1),rhs.GetBlock(2));
|
||||
a21.EliminateTestDofs(ess_bdr);
|
||||
a21.Finalize();
|
||||
SparseMatrix &A21 = a21.SpMat();
|
||||
|
||||
BilinearForm a22(&H1fes);
|
||||
// a22.AddDomainIntegrator(new MassIntegrator(neg_one));
|
||||
a22.AddDomainIntegrator(new MassIntegrator(zero));
|
||||
a22.Assemble(false);
|
||||
a22.EliminateEssentialBC(ess_bdr,x.GetBlock(2),rhs.GetBlock(2),mfem::Operator::DIAG_ONE);
|
||||
a22.Finalize();
|
||||
SparseMatrix &A22 = a22.SpMat();
|
||||
|
||||
cout << "b0.Norml2() = " << b0.Norml2() << endl;
|
||||
cout << "b1.Norml2() = " << b1.Norml2() << endl;
|
||||
cout << "b2.Norml2() = " << b2.Norml2() << endl;
|
||||
|
||||
// BlockOperator A(offsets);
|
||||
// A.SetBlock(0,0,&A00);
|
||||
// A.SetBlock(0,1,&A01);
|
||||
// A.SetBlock(0,2,&A02);
|
||||
// A.SetBlock(1,0,&A10);
|
||||
// A.SetBlock(1,1,&A11);
|
||||
// A.SetBlock(1,2,&A12);
|
||||
// A.SetBlock(2,0,&A20);
|
||||
// A.SetBlock(2,1,&A21);
|
||||
// A.SetBlock(2,2,&A22);
|
||||
|
||||
// BlockDiagonalPreconditioner prec(offsets);
|
||||
// prec.SetDiagonalBlock(0,new GSSmoother(A00));
|
||||
// prec.SetDiagonalBlock(1,new GSSmoother(A11));
|
||||
// prec.SetDiagonalBlock(1,new GSSmoother(A22));
|
||||
// prec.owns_blocks = 1;
|
||||
|
||||
// GMRES(A,prec,rhs,x,1,10000,500,1e-12,0.0);
|
||||
|
||||
BlockMatrix A(offsets);
|
||||
A.SetBlock(0,0,&A00);
|
||||
A.SetBlock(0,1,&A01);
|
||||
A.SetBlock(0,2,&A02);
|
||||
A.SetBlock(1,0,&A10);
|
||||
A.SetBlock(1,1,&A11);
|
||||
A.SetBlock(1,2,&A12);
|
||||
A.SetBlock(2,0,&A20);
|
||||
A.SetBlock(2,1,&A21);
|
||||
A.SetBlock(2,2,&A22);
|
||||
|
||||
SparseMatrix * A_mono = A.CreateMonolithic();
|
||||
UMFPackSolver umf(*A_mono);
|
||||
umf.Mult(rhs,x);
|
||||
|
||||
delta_M1_gf.MakeRef(&RTfes, x.GetBlock(0), 0);
|
||||
delta_M2_gf.MakeRef(&RTfes, x.GetBlock(1), 0);
|
||||
delta_u_gf.MakeRef(&H1fes, x.GetBlock(2), 0);
|
||||
|
||||
real_t Newton_update_size = delta_u_gf.ComputeL2Error(zero);
|
||||
|
||||
real_t gamma = 0.3;
|
||||
delta_M1_gf *= gamma;
|
||||
delta_M2_gf *= gamma;
|
||||
delta_u_gf *= gamma;
|
||||
M1_gf += delta_M1_gf;
|
||||
M2_gf += delta_M2_gf;
|
||||
u_gf += delta_u_gf;
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
total_iterations++;
|
||||
|
||||
b0.Assemble();
|
||||
b1.Assemble();
|
||||
|
||||
a00.Assemble(false);
|
||||
a00.Finalize(false);
|
||||
SparseMatrix &A00 = a00.SpMat();
|
||||
|
||||
// Construct Schur-complement preconditioner
|
||||
Vector A00_diag(a00.Height());
|
||||
A00.GetDiag(A00_diag);
|
||||
A00_diag.Reciprocal();
|
||||
SparseMatrix *S = Mult_AtDA(*A01, A00_diag);
|
||||
|
||||
BlockDiagonalPreconditioner prec(offsets);
|
||||
prec.SetDiagonalBlock(0,new DSmoother(A00));
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
prec.SetDiagonalBlock(1,new GSSmoother(*S));
|
||||
#else
|
||||
prec.SetDiagonalBlock(1,new UMFPackSolver(*S));
|
||||
#endif
|
||||
prec.owns_blocks = 1;
|
||||
|
||||
BlockOperator A(offsets);
|
||||
A.SetBlock(0,0,&A00);
|
||||
A.SetBlock(1,0,&A10);
|
||||
A.SetBlock(0,1,A01);
|
||||
A.SetBlock(1,1,&A11);
|
||||
|
||||
GMRES(A,prec,rhs,x,0,2000,500,1e-12,0.0);
|
||||
delete S;
|
||||
|
||||
u_tmp -= u_gf;
|
||||
real_t Newton_update_size = u_tmp.ComputeL2Error(zero);
|
||||
u_tmp = u_gf;
|
||||
|
||||
// Damped Newton update
|
||||
psi_gf.Add(newton_scaling, delta_psi_gf);
|
||||
a00.Update();
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
sol_sock << "solution\n" << mesh << u_gf << "window_title 'Discrete solution'"
|
||||
<< flush;
|
||||
}
|
||||
|
||||
mfem::out << "Newton_update_size = " << Newton_update_size << endl;
|
||||
|
||||
if (Newton_update_size < increment_u)
|
||||
{
|
||||
break;
|
||||
}
|
||||
// sol_sock << "solution\n" << mesh << delta_M1_gf << "window_title 'Discrete solution'"
|
||||
sol_sock << "solution\n" << mesh << u_gf << "window_title 'Discrete solution'"
|
||||
<< flush;
|
||||
mfem::out << "Increment (|| uₕ - uₕ_prvs||) = " << Newton_update_size <<
|
||||
endl;
|
||||
}
|
||||
|
||||
u_tmp = u_gf;
|
||||
u_tmp -= u_old_gf;
|
||||
increment_u = u_tmp.ComputeL2Error(zero);
|
||||
// if (Newton_update_size < tol || k == max_it-1)
|
||||
// {
|
||||
// break;
|
||||
// }
|
||||
|
||||
mfem::out << "Number of Newton iterations = " << j+1 << endl;
|
||||
mfem::out << "Increment (|| uₕ - uₕ_prvs||) = " << increment_u << endl;
|
||||
real_t H1_error = u_gf.ComputeH1Error(&exact_coef,&exact_grad_coef);
|
||||
real_t L2_error = u_gf.ComputeL2Error(exact_coef);
|
||||
mfem::out << "L2-error (|| u - uₕᵏ||) = " << L2_error << endl;
|
||||
// mfem::out << "H1-error (|| u - uₕᵏ||) = " << H1_error << endl;
|
||||
|
||||
u_old_gf = u_gf;
|
||||
psi_old_gf = psi_gf;
|
||||
|
||||
if (increment_u < tol || k == max_it-1)
|
||||
{
|
||||
break;
|
||||
}
|
||||
|
||||
alpha *= max(growth_rate, 1_r);
|
||||
cin.get();
|
||||
|
||||
}
|
||||
|
||||
mfem::out << "\n Outer iterations: " << k+1
|
||||
<< "\n Total iterations: " << total_iterations
|
||||
<< "\n Total dofs: " << RTfes.GetTrueVSize() + L2fes.GetTrueVSize()
|
||||
mfem::out << "\n Total iterations: " << k+1
|
||||
<< "\n Total dofs: " << RTfes.GetTrueVSize() * 2 + H1fes.GetTrueVSize()
|
||||
<< endl;
|
||||
|
||||
delete A01;
|
||||
// 11. Exact solution.
|
||||
// if (visualization)
|
||||
// {
|
||||
// socketstream err_sock(vishost, visport);
|
||||
// err_sock.precision(8);
|
||||
|
||||
// GridFunction error_gf(&H1fes);
|
||||
// error_gf.ProjectCoefficient(exact_coef);
|
||||
// error_gf -= u_gf;
|
||||
|
||||
// err_sock << "solution\n" << mesh << error_gf << "window_title 'Error'" <<
|
||||
// flush;
|
||||
// }
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
void ZCoefficient::Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
real_t exact_solution(const Vector &pt)
|
||||
{
|
||||
MFEM_ASSERT(psi != NULL, "grid function is not set");
|
||||
MFEM_ASSERT(alpha > 0, "alpha is not positive");
|
||||
|
||||
Vector psi_vals(vdim);
|
||||
psi->GetVectorValue(T, ip, psi_vals);
|
||||
real_t norm = psi_vals.Norml2();
|
||||
real_t phi = 1.0 / sqrt(1.0/(alpha*alpha) + norm*norm);
|
||||
|
||||
V = psi_vals;
|
||||
V *= phi;
|
||||
real_t x = pt(0), y = pt(1);
|
||||
return (x*x + y*y) / 2.0 - 4.0;
|
||||
}
|
||||
|
||||
void DZCoefficient::Eval(DenseMatrix &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
void exact_solution_gradient(const Vector &pt, Vector &grad)
|
||||
{
|
||||
MFEM_ASSERT(psi != NULL, "grid function is not set");
|
||||
MFEM_ASSERT(alpha > 0, "alpha is not positive");
|
||||
real_t x = pt(0), y = pt(1);
|
||||
|
||||
Vector psi_vals(height);
|
||||
psi->GetVectorValue(T, ip, psi_vals);
|
||||
real_t norm = psi_vals.Norml2();
|
||||
real_t phi = 1.0 / sqrt(1.0/(alpha*alpha) + norm*norm);
|
||||
|
||||
K = 0.0;
|
||||
for (int i = 0; i < height; i++)
|
||||
{
|
||||
K(i,i) = phi;
|
||||
for (int j = 0; j < height; j++)
|
||||
{
|
||||
K(i,j) -= psi_vals(i) * psi_vals(j) * pow(phi, 3);
|
||||
}
|
||||
}
|
||||
grad(0) = x;
|
||||
grad(1) = y;
|
||||
}
|
||||
|
||||
@@ -1,438 +0,0 @@
|
||||
// MFEM Example 40 - Parallel Version
|
||||
//
|
||||
// Compile with: make ex40p
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex40p -step 10 -gr 2.0
|
||||
// mpirun -np 4 ex40p -step 10 -gr 2.0 -o 3 -r 1
|
||||
// mpirun -np 4 ex40p -step 10 -gr 2.0 -r 4 -m ../data/l-shape.mesh
|
||||
// mpirun -np 4 ex40p -step 10 -gr 2.0 -r 2 -m ../data/fichera.mesh
|
||||
//
|
||||
// Description: This example code demonstrates how to use MFEM to solve the
|
||||
// eikonal equation,
|
||||
//
|
||||
// |∇𝑢| = 1 in Ω, 𝑢 = g on ∂Ω.
|
||||
//
|
||||
// The solution of this problem coincides with the unique optimum of
|
||||
// the nonlinear program
|
||||
//
|
||||
// maximize ∫_Ω 𝑢 d𝑥 subject to |∇𝑢| ≤ 1, 𝑢 = g on Ω, (⋆)
|
||||
//
|
||||
// which is the foundation for method implemented below.
|
||||
//
|
||||
// Following the proximal Galerkin methodology [1] (see also Example
|
||||
// 36), we construct a Legendre function for the unit ball
|
||||
// 𝐵₁ := {𝑥 ∈ Rⁿ | |𝑥| < 1}. Our choice is the Hellinger entropy,
|
||||
//
|
||||
// h(𝑥) = −( 1 − |𝑥|² )^{1/2},
|
||||
//
|
||||
// although other choices are possible, each leading to a slightly
|
||||
// different algorithm. We then adaptively regularize the optimization
|
||||
// problem (⋆) with the Bregman divergence of the Hellinger entropy,
|
||||
//
|
||||
// maximize ∫_Ω 𝑢 d𝑥 - αₖ⁻¹ Dₕ(∇𝑢,∇𝑢ₖ₋₁) subject to 𝑢 = g on Ω.
|
||||
//
|
||||
// This results in a sequence of functions ( 𝜓ₖ , 𝑢ₖ ),
|
||||
//
|
||||
// 𝑢ₖ → 𝑢, 𝜓ₖ/|𝜓ₖ| → ∇𝑢 as k → \infty,
|
||||
//
|
||||
// defined by the nonlinear saddle-point problems
|
||||
//
|
||||
// Find 𝜓ₖ ∈ H(div,Ω) and 𝑢ₖ ∈ L²(Ω) such that
|
||||
// ( Zₖ(𝜓ₖ) , τ ) + ( 𝑢ₖ , ∇⋅τ ) = ⟨ g , τ⋅n ⟩ ∀ τ ∈ H(div,Ω)
|
||||
// ( ∇⋅𝜓ₖ , v ) = ( ∇⋅𝜓ₖ₋₁ - 1 , v ) ∀ v ∈ L²(Ω)
|
||||
//
|
||||
// where Zₖ(𝜓) := ∇h⁻¹(αₖ 𝜓) = 𝜓 / ( αₖ⁻² + |𝜓|² )^{1/2} and step size
|
||||
// αₖ > 0. These saddle-point problems are solved using a damped Newton's
|
||||
// method. This example assumes that g = 0 and allows the step size to
|
||||
// grow geometrically, αₖ = α₀rᵏ, where r ≥ 1 is the growth rate.
|
||||
//
|
||||
// [1] Keith, B. and Surowiec, T. (2023) Proximal Galerkin: A structure-
|
||||
// preserving finite element method for pointwise bound constraints.
|
||||
// arXiv:2307.12444 [math.NA]
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
#include <iostream>
|
||||
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
class ZCoefficient : public VectorCoefficient
|
||||
{
|
||||
protected:
|
||||
ParGridFunction *psi;
|
||||
real_t alpha;
|
||||
|
||||
public:
|
||||
ZCoefficient(int vdim, ParGridFunction &psi_, real_t alpha_ = 1.0)
|
||||
: VectorCoefficient(vdim), psi(&psi_), alpha(alpha_) { }
|
||||
|
||||
using VectorCoefficient::Eval;
|
||||
|
||||
void Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override;
|
||||
void SetAlpha(real_t alpha_) { alpha = alpha_; }
|
||||
};
|
||||
|
||||
class DZCoefficient : public MatrixCoefficient
|
||||
{
|
||||
protected:
|
||||
ParGridFunction *psi;
|
||||
real_t alpha;
|
||||
|
||||
public:
|
||||
DZCoefficient(int height, ParGridFunction &psi_, real_t alpha_ = 1.0)
|
||||
: MatrixCoefficient(height), psi(&psi_), alpha(alpha_) { }
|
||||
|
||||
void Eval(DenseMatrix &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip) override;
|
||||
void SetAlpha(real_t alpha_) { alpha = alpha_; }
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 0. Initialize MPI and HYPRE.
|
||||
Mpi::Init();
|
||||
int num_procs = Mpi::WorldSize();
|
||||
int myid = Mpi::WorldRank();
|
||||
Hypre::Init();
|
||||
|
||||
// 1. Parse command-line options.
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
int max_it = 5;
|
||||
int ref_levels = 3;
|
||||
real_t alpha = 1.0;
|
||||
real_t growth_rate = 1.0;
|
||||
real_t newton_scaling = 0.9;
|
||||
real_t tichonov = 1e-1;
|
||||
real_t tol = 1e-4;
|
||||
bool visualization = true;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
"Mesh file to use.");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&ref_levels, "-r", "--refs",
|
||||
"Number of h-refinements.");
|
||||
args.AddOption(&max_it, "-mi", "--max-it",
|
||||
"Maximum number of iterations");
|
||||
args.AddOption(&tol, "-tol", "--tol",
|
||||
"Stopping criteria based on the difference between"
|
||||
"successive solution updates");
|
||||
args.AddOption(&alpha, "-step", "--step",
|
||||
"Initial size alpha");
|
||||
args.AddOption(&growth_rate, "-gr", "--growth-rate",
|
||||
"Growth rate of the step size alpha");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 2. Read the mesh from the mesh file.
|
||||
Mesh mesh(mesh_file, 1, 1);
|
||||
int dim = mesh.Dimension();
|
||||
int sdim = mesh.SpaceDimension();
|
||||
|
||||
MFEM_ASSERT(mesh.bdr_attributes.Size(),
|
||||
"This example does not currently support meshes"
|
||||
" without boundary attributes."
|
||||
)
|
||||
|
||||
// 3. Postprocess the mesh.
|
||||
// 3A. Refine the mesh to increase the resolution.
|
||||
for (int l = 0; l < ref_levels; l++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
}
|
||||
|
||||
// 3B. Interpolate the geometry after refinement to control geometry error.
|
||||
// NOTE: Minimum second-order interpolation is used to improve the accuracy.
|
||||
int curvature_order = max(order,2);
|
||||
mesh.SetCurvature(curvature_order);
|
||||
|
||||
ParMesh pmesh(MPI_COMM_WORLD, mesh);
|
||||
mesh.Clear();
|
||||
|
||||
// 4. Define the necessary finite element spaces on the mesh.
|
||||
RT_FECollection RTfec(order, dim);
|
||||
ParFiniteElementSpace RTfes(&pmesh, &RTfec);
|
||||
|
||||
L2_FECollection L2fec(order, dim);
|
||||
ParFiniteElementSpace L2fes(&pmesh, &L2fec);
|
||||
|
||||
int num_dofs_RT = RTfes.GlobalTrueVSize();
|
||||
int num_dofs_L2 = L2fes.GlobalTrueVSize();
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Number of H(div) dofs: "
|
||||
<< num_dofs_RT << endl;
|
||||
cout << "Number of L² dofs: "
|
||||
<< num_dofs_L2 << endl;
|
||||
}
|
||||
|
||||
// 5. Define the offsets for the block matrices
|
||||
Array<int> offsets(3);
|
||||
offsets[0] = 0;
|
||||
offsets[1] = RTfes.GetVSize();
|
||||
offsets[2] = L2fes.GetVSize();
|
||||
offsets.PartialSum();
|
||||
|
||||
Array<int> toffsets(3);
|
||||
toffsets[0] = 0;
|
||||
toffsets[1] = RTfes.GetTrueVSize();
|
||||
toffsets[2] = L2fes.GetTrueVSize();
|
||||
toffsets.PartialSum();
|
||||
|
||||
BlockVector x(offsets), rhs(offsets);
|
||||
x = 0.0; rhs = 0.0;
|
||||
|
||||
BlockVector tx(toffsets), trhs(toffsets);
|
||||
tx = 0.0; trhs = 0.0;
|
||||
|
||||
// 6. Define the solution vectors as a finite element grid functions
|
||||
// corresponding to the fespaces.
|
||||
ParGridFunction u_gf, delta_psi_gf;
|
||||
delta_psi_gf.MakeRef(&RTfes,x,offsets[0]);
|
||||
u_gf.MakeRef(&L2fes,x,offsets[1]);
|
||||
|
||||
ParGridFunction psi_old_gf(&RTfes);
|
||||
ParGridFunction psi_gf(&RTfes);
|
||||
ParGridFunction u_old_gf(&L2fes);
|
||||
|
||||
// 7. Define initial guesses for the solution variables.
|
||||
delta_psi_gf = 0.0;
|
||||
psi_gf = 0.0;
|
||||
u_gf = 0.0;
|
||||
psi_old_gf = psi_gf;
|
||||
u_old_gf = u_gf;
|
||||
|
||||
// 8. Prepare for glvis output.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock;
|
||||
if (visualization)
|
||||
{
|
||||
sol_sock.open(vishost,visport);
|
||||
sol_sock.precision(8);
|
||||
}
|
||||
|
||||
// 9. Coefficients to be used later.
|
||||
ConstantCoefficient neg_one(-1.0);
|
||||
ConstantCoefficient zero(0.0);
|
||||
ConstantCoefficient tichonov_cf(tichonov);
|
||||
ConstantCoefficient neg_tichonov_cf(-1.0*tichonov);
|
||||
ZCoefficient Z(sdim, psi_gf, alpha);
|
||||
DZCoefficient DZ(sdim, psi_gf, alpha);
|
||||
ScalarVectorProductCoefficient neg_Z(-1.0, Z);
|
||||
DivergenceGridFunctionCoefficient div_psi_cf(&psi_gf);
|
||||
DivergenceGridFunctionCoefficient div_psi_old_cf(&psi_old_gf);
|
||||
SumCoefficient psi_old_minus_psi(div_psi_old_cf, div_psi_cf, 1.0, -1.0);
|
||||
|
||||
// 10. Assemble constant matrices/vectors to avoid reassembly in the loop.
|
||||
ParLinearForm b0, b1;
|
||||
b0.MakeRef(&RTfes,rhs.GetBlock(0),0);
|
||||
b1.MakeRef(&L2fes,rhs.GetBlock(1),0);
|
||||
|
||||
b0.AddDomainIntegrator(new VectorFEDomainLFIntegrator(neg_Z));
|
||||
b1.AddDomainIntegrator(new DomainLFIntegrator(neg_one));
|
||||
b1.AddDomainIntegrator(new DomainLFIntegrator(psi_old_minus_psi));
|
||||
|
||||
ParBilinearForm a00(&RTfes);
|
||||
a00.AddDomainIntegrator(new VectorFEMassIntegrator(DZ));
|
||||
a00.AddDomainIntegrator(new VectorFEMassIntegrator(tichonov_cf));
|
||||
|
||||
ParMixedBilinearForm a10(&RTfes,&L2fes);
|
||||
a10.AddDomainIntegrator(new VectorFEDivergenceIntegrator());
|
||||
a10.Assemble();
|
||||
a10.Finalize();
|
||||
HypreParMatrix *A10 = a10.ParallelAssemble();
|
||||
|
||||
HypreParMatrix *A01 = A10->Transpose();
|
||||
|
||||
ParBilinearForm a11(&L2fes);
|
||||
a11.AddDomainIntegrator(new MassIntegrator(neg_tichonov_cf));
|
||||
a11.Assemble();
|
||||
a11.Finalize();
|
||||
HypreParMatrix *A11 = a11.ParallelAssemble();
|
||||
|
||||
// 11. Iterate.
|
||||
int k;
|
||||
int total_iterations = 0;
|
||||
real_t increment_u = 0.1;
|
||||
ParGridFunction u_tmp(&L2fes);
|
||||
for (k = 0; k < max_it; k++)
|
||||
{
|
||||
u_tmp = u_old_gf;
|
||||
Z.SetAlpha(alpha);
|
||||
DZ.SetAlpha(alpha);
|
||||
|
||||
if (myid == 0)
|
||||
{
|
||||
mfem::out << "\nOUTER ITERATION " << k+1 << endl;
|
||||
}
|
||||
|
||||
int j;
|
||||
for ( j = 0; j < 5; j++)
|
||||
{
|
||||
total_iterations++;
|
||||
|
||||
b0.Assemble();
|
||||
b0.ParallelAssemble(trhs.GetBlock(0));
|
||||
|
||||
b1.Assemble();
|
||||
b1.ParallelAssemble(trhs.GetBlock(1));
|
||||
|
||||
a00.Assemble(false);
|
||||
a00.Finalize(false);
|
||||
HypreParMatrix *A00 = a00.ParallelAssemble();
|
||||
|
||||
// Construct Schur-complement preconditioner
|
||||
HypreParVector A00_diag(MPI_COMM_WORLD, A00->GetGlobalNumRows(),
|
||||
A00->GetRowStarts());
|
||||
A00->GetDiag(A00_diag);
|
||||
HypreParMatrix S_tmp(*A01);
|
||||
S_tmp.InvScaleRows(A00_diag);
|
||||
HypreParMatrix *S = ParMult(A10, &S_tmp, true);
|
||||
|
||||
BlockDiagonalPreconditioner prec(toffsets);
|
||||
HypreBoomerAMG P00(*A00);
|
||||
P00.SetPrintLevel(0);
|
||||
HypreBoomerAMG P11(*S);
|
||||
P11.SetPrintLevel(0);
|
||||
prec.SetDiagonalBlock(0,&P00);
|
||||
prec.SetDiagonalBlock(1,&P11);
|
||||
|
||||
BlockOperator A(toffsets);
|
||||
A.SetBlock(0,0,A00);
|
||||
A.SetBlock(1,0,A10);
|
||||
A.SetBlock(0,1,A01);
|
||||
A.SetBlock(1,1,A11);
|
||||
|
||||
GMRESSolver gmres(MPI_COMM_WORLD);
|
||||
gmres.SetPrintLevel(-1);
|
||||
gmres.SetRelTol(1e-8);
|
||||
gmres.SetMaxIter(2000);
|
||||
gmres.SetKDim(500);
|
||||
gmres.SetOperator(A);
|
||||
gmres.SetPreconditioner(prec);
|
||||
gmres.Mult(trhs,tx);
|
||||
delete S;
|
||||
delete A00;
|
||||
|
||||
delta_psi_gf.SetFromTrueDofs(tx.GetBlock(0));
|
||||
u_gf.SetFromTrueDofs(tx.GetBlock(1));
|
||||
|
||||
u_tmp -= u_gf;
|
||||
real_t Newton_update_size = u_tmp.ComputeL2Error(zero);
|
||||
u_tmp = u_gf;
|
||||
|
||||
// Damped Newton update
|
||||
psi_gf.Add(newton_scaling, delta_psi_gf);
|
||||
a00.Update();
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
sol_sock << "parallel " << num_procs << " " << myid << "\n";
|
||||
sol_sock << "solution\n" << pmesh << u_gf << "window_title 'Discrete solution'"
|
||||
<< flush;
|
||||
}
|
||||
|
||||
if (myid == 0)
|
||||
{
|
||||
mfem::out << "Newton_update_size = " << Newton_update_size << endl;
|
||||
}
|
||||
|
||||
if (Newton_update_size < increment_u)
|
||||
{
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
u_tmp = u_gf;
|
||||
u_tmp -= u_old_gf;
|
||||
increment_u = u_tmp.ComputeL2Error(zero);
|
||||
|
||||
if (myid == 0)
|
||||
{
|
||||
mfem::out << "Number of Newton iterations = " << j+1 << endl;
|
||||
mfem::out << "Increment (|| uₕ - uₕ_prvs||) = " << increment_u << endl;
|
||||
}
|
||||
|
||||
u_old_gf = u_gf;
|
||||
psi_old_gf = psi_gf;
|
||||
|
||||
if (increment_u < tol || k == max_it-1)
|
||||
{
|
||||
break;
|
||||
}
|
||||
|
||||
alpha *= max(growth_rate, 1_r);
|
||||
|
||||
}
|
||||
|
||||
// 12. Print stats.
|
||||
if (myid == 0)
|
||||
{
|
||||
mfem::out << "\n Outer iterations: " << k+1
|
||||
<< "\n Total iterations: " << total_iterations
|
||||
<< "\n Total dofs: " << RTfes.GetTrueVSize() + L2fes.GetTrueVSize()
|
||||
<< endl;
|
||||
}
|
||||
|
||||
// 13. Free the used memory.
|
||||
delete A01;
|
||||
delete A10;
|
||||
delete A11;
|
||||
return 0;
|
||||
}
|
||||
|
||||
void ZCoefficient::Eval(Vector &V, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
MFEM_ASSERT(psi != NULL, "grid function is not set");
|
||||
MFEM_ASSERT(alpha > 0, "alpha is not positive");
|
||||
|
||||
Vector psi_vals(vdim);
|
||||
psi->GetVectorValue(T, ip, psi_vals);
|
||||
real_t norm = psi_vals.Norml2();
|
||||
real_t phi = 1.0 / sqrt(1.0/(alpha*alpha) + norm*norm);
|
||||
|
||||
V = psi_vals;
|
||||
V *= phi;
|
||||
}
|
||||
|
||||
void DZCoefficient::Eval(DenseMatrix &K, ElementTransformation &T,
|
||||
const IntegrationPoint &ip)
|
||||
{
|
||||
MFEM_ASSERT(psi != NULL, "grid function is not set");
|
||||
MFEM_ASSERT(alpha > 0, "alpha is not positive");
|
||||
|
||||
Vector psi_vals(height);
|
||||
psi->GetVectorValue(T, ip, psi_vals);
|
||||
real_t norm = psi_vals.Norml2();
|
||||
real_t phi = 1.0 / sqrt(1.0/(alpha*alpha) + norm*norm);
|
||||
|
||||
K = 0.0;
|
||||
for (int i = 0; i < height; i++)
|
||||
{
|
||||
K(i,i) = phi;
|
||||
for (int j = 0; j < height; j++)
|
||||
{
|
||||
K(i,j) -= psi_vals(i) * psi_vals(j) * pow(phi, 3);
|
||||
}
|
||||
}
|
||||
}
|
||||
+1
-1
@@ -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->EliminateTrialEssentialBC(ess_bdr, x.GetBlock(x0_var), F);
|
||||
B0->EliminateTrialDofs(ess_bdr, x.GetBlock(x0_var), F);
|
||||
B0->Finalize();
|
||||
|
||||
MixedBilinearForm *Bhat = new MixedBilinearForm(xhat_space,test_space);
|
||||
|
||||
+35
-8
@@ -9,7 +9,7 @@
|
||||
// ex9 -m ../data/periodic-square.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/periodic-hexagon.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.002 -tf 9
|
||||
// ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.02 -s 23 -tf 9
|
||||
// ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.02 -s 13 -tf 9
|
||||
// ex9 -m ../data/star-q3.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/star-mixed.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/disc-nurbs.mesh -p 1 -r 3 -dt 0.005 -tf 9
|
||||
@@ -104,12 +104,12 @@ public:
|
||||
}
|
||||
}
|
||||
|
||||
void SetOperator(const Operator &op) override
|
||||
void SetOperator(const Operator &op)
|
||||
{
|
||||
linear_solver.SetOperator(op);
|
||||
}
|
||||
|
||||
void Mult(const Vector &x, Vector &y) const override
|
||||
virtual void Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
linear_solver.Mult(x, y);
|
||||
}
|
||||
@@ -134,10 +134,10 @@ private:
|
||||
public:
|
||||
FE_Evolution(BilinearForm &M_, BilinearForm &K_, const Vector &b_);
|
||||
|
||||
void Mult(const Vector &x, Vector &y) const override;
|
||||
void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
|
||||
virtual void Mult(const Vector &x, Vector &y) const;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
|
||||
|
||||
~FE_Evolution() override;
|
||||
virtual ~FE_Evolution();
|
||||
};
|
||||
|
||||
|
||||
@@ -182,7 +182,12 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&device_config, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Forward Euler,\n\t"
|
||||
" 2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6,\n\t"
|
||||
" 11 - Backward Euler,\n\t"
|
||||
" 12 - SDIRK23 (L-stable), 13 - SDIRK33,\n\t"
|
||||
" 22 - Implicit Midpoint Method,\n\t"
|
||||
" 23 - SDIRK23 (A-stable), 24 - SDIRK34");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -219,7 +224,28 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 3. Define the ODE solver used for time integration. Several explicit
|
||||
// Runge-Kutta methods are available.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Explicit methods
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(1.0); break;
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
case 6: ode_solver = new RK6Solver; break;
|
||||
// Implicit (L-stable) methods
|
||||
case 11: ode_solver = new BackwardEulerSolver; break;
|
||||
case 12: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 13: ode_solver = new SDIRK33Solver; break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 4. Refine the mesh to increase the resolution. In this example we do
|
||||
// 'ref_levels' of uniform refinement, where 'ref_levels' is a
|
||||
@@ -414,6 +440,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 10. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete pd;
|
||||
delete dc;
|
||||
|
||||
|
||||
+42
-12
@@ -9,7 +9,7 @@
|
||||
// mpirun -np 4 ex9p -m ../data/periodic-square.mesh -p 1 -dt 0.005 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/periodic-hexagon.mesh -p 1 -dt 0.005 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.002 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.02 -s 23 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.02 -s 13 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/star-q3.mesh -p 1 -rp 1 -dt 0.004 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/star-mixed.mesh -p 1 -rp 1 -dt 0.004 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/disc-nurbs.mesh -p 1 -rp 1 -dt 0.005 -tf 9
|
||||
@@ -92,7 +92,7 @@ private:
|
||||
public:
|
||||
AIR_prec(int blocksize_) : AIR_solver(NULL), blocksize(blocksize_) { }
|
||||
|
||||
void SetOperator(const Operator &op) override
|
||||
void SetOperator(const Operator &op)
|
||||
{
|
||||
width = op.Width();
|
||||
height = op.Height();
|
||||
@@ -110,7 +110,7 @@ public:
|
||||
AIR_solver->SetMaxLevels(50);
|
||||
}
|
||||
|
||||
void Mult(const Vector &x, Vector &y) const override
|
||||
virtual void Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
// 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() override
|
||||
~AIR_prec()
|
||||
{
|
||||
delete AIR_solver;
|
||||
}
|
||||
@@ -185,17 +185,17 @@ public:
|
||||
}
|
||||
}
|
||||
|
||||
void SetOperator(const Operator &op) override
|
||||
void SetOperator(const Operator &op)
|
||||
{
|
||||
linear_solver.SetOperator(op);
|
||||
}
|
||||
|
||||
void Mult(const Vector &x, Vector &y) const override
|
||||
virtual void Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
linear_solver.Mult(x, y);
|
||||
}
|
||||
|
||||
~DG_Solver() override
|
||||
~DG_Solver()
|
||||
{
|
||||
delete prec;
|
||||
delete A;
|
||||
@@ -223,10 +223,10 @@ public:
|
||||
FE_Evolution(ParBilinearForm &M_, ParBilinearForm &K_, const Vector &b_,
|
||||
PrecType prec_type);
|
||||
|
||||
void Mult(const Vector &x, Vector &y) const override;
|
||||
void ImplicitSolve(const real_t dt, const Vector &x, Vector &k) override;
|
||||
virtual void Mult(const Vector &x, Vector &y) const;
|
||||
virtual void ImplicitSolve(const real_t dt, const Vector &x, Vector &k);
|
||||
|
||||
~FE_Evolution() override;
|
||||
virtual ~FE_Evolution();
|
||||
};
|
||||
|
||||
|
||||
@@ -285,7 +285,12 @@ int main(int argc, char *argv[])
|
||||
args.AddOption(&device_config, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&ode_solver_type, "-s", "--ode-solver",
|
||||
ODESolver::Types.c_str());
|
||||
"ODE solver: 1 - Forward Euler,\n\t"
|
||||
" 2 - RK2 SSP, 3 - RK3 SSP, 4 - RK4, 6 - RK6,\n\t"
|
||||
" 11 - Backward Euler,\n\t"
|
||||
" 12 - SDIRK23 (L-stable), 13 - SDIRK33,\n\t"
|
||||
" 22 - Implicit Midpoint Method,\n\t"
|
||||
" 23 - SDIRK23 (A-stable), 24 - SDIRK34");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -333,7 +338,31 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 4. Define the ODE solver used for time integration. Several explicit
|
||||
// Runge-Kutta methods are available.
|
||||
unique_ptr<ODESolver> ode_solver = ODESolver::Select(ode_solver_type);
|
||||
ODESolver *ode_solver = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// Explicit methods
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(1.0); break;
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
case 6: ode_solver = new RK6Solver; break;
|
||||
// Implicit (L-stable) methods
|
||||
case 11: ode_solver = new BackwardEulerSolver; break;
|
||||
case 12: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 13: ode_solver = new SDIRK33Solver; break;
|
||||
// Implicit A-stable methods (not L-stable)
|
||||
case 22: ode_solver = new ImplicitMidpointSolver; break;
|
||||
case 23: ode_solver = new SDIRK23Solver; break;
|
||||
case 24: ode_solver = new SDIRK34Solver; break;
|
||||
default:
|
||||
if (Mpi::Root())
|
||||
{
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
}
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 5. 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
|
||||
@@ -613,6 +642,7 @@ int main(int argc, char *argv[])
|
||||
delete m;
|
||||
delete fes;
|
||||
delete pmesh;
|
||||
delete ode_solver;
|
||||
delete pd;
|
||||
#ifdef MFEM_USE_ADIOS2
|
||||
if (adios2)
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/ginkgo/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
@@ -96,7 +96,6 @@ public:
|
||||
{
|
||||
Vector w_glob(width);
|
||||
pfes.Dof_TrueDof_Matrix()->MultTranspose(w, w_glob);
|
||||
w_glob.HostReadWrite(); // read+write -> can use w_glob(i) (non-const)
|
||||
for (int i = 0; i < width; i++) { grad(0, i) = w_glob(i); }
|
||||
}
|
||||
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/hiop/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
+7
-14
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ..
|
||||
MFEM_BUILD_DIR ?= ..
|
||||
MFEM_INSTALL_DIR ?= ../mfem
|
||||
SRC = $(if $(MFEM_DIR:..=),$(MFEM_DIR)/examples/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
@@ -27,9 +28,9 @@ PAR_EXAMPLES = ex0p ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex8p ex9p ex10p ex11p \
|
||||
ex12p ex13p ex14p ex15p ex16p ex17p ex18p ex19p ex20p ex21p ex22p ex24p \
|
||||
ex25p ex26p ex27p ex28p ex29p ex30p ex31p ex32p ex33p ex34p ex35p ex36p \
|
||||
ex37p ex39p ex40p
|
||||
SEQ_DEVICE_EXAMPLES = ex1 ex3 ex4 ex5 ex6 ex9 ex14 ex22 ex24 ex25 ex26 ex34
|
||||
PAR_DEVICE_EXAMPLES = ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex9p ex13p ex14p \
|
||||
ex22p ex24p ex25p ex26p ex34p ex35p
|
||||
SEQ_DEVICE_EXAMPLES = ex1 ex3 ex4 ex5 ex6 ex9 ex22 ex24 ex25 ex26 ex34
|
||||
PAR_DEVICE_EXAMPLES = ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex9p ex13p ex22p \
|
||||
ex24p ex25p ex26p ex34p ex35p
|
||||
|
||||
ifeq ($(MFEM_USE_LAPACK),YES)
|
||||
SEQ_EXAMPLES += ex38
|
||||
@@ -137,14 +138,6 @@ ex10-test-seq: ex10
|
||||
@$(call mfem-test,$<,, Serial example,-tf 5)
|
||||
ex10p-test-par: ex10p
|
||||
@$(call mfem-test,$<, $(RUN_MPI), Parallel example,-tf 5)
|
||||
ex14-test-seq-cuda: ex14
|
||||
@$(call mfem-test,$<,, Serial CUDA example,-r 2 -pa -d cuda)
|
||||
ex14p-test-par-cuda: ex14p
|
||||
@$(call mfem-test,$<, $(RUN_MPI), Parallel CUDA example,-rs 2 -rp 0 -pa -d cuda)
|
||||
ex14-test-seq-hip: ex14
|
||||
@$(call mfem-test,$<,, Serial HIP example,-r 2 -pa -d hip)
|
||||
ex14p-test-par-hip: ex14p
|
||||
@$(call mfem-test,$<, $(RUN_MPI), Parallel HIP example,-rs 2 -rp 0 -pa -d hip)
|
||||
ex15-test-seq: ex15
|
||||
@$(call mfem-test,$<,, Serial example,-e 1)
|
||||
ex15p-test-par: ex15p
|
||||
|
||||
@@ -1,14 +1,3 @@
|
||||
// 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.
|
||||
|
||||
#include <algorithm>
|
||||
#include <assert.h>
|
||||
#include <cstdlib>
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/moonolith/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
@@ -206,7 +206,6 @@ 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",
|
||||
@@ -244,8 +243,6 @@ 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())
|
||||
{
|
||||
@@ -260,12 +257,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 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
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc)
|
||||
{
|
||||
MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL);
|
||||
@@ -717,7 +709,10 @@ real_t HyperelasticOperator::ElasticEnergy(const ParGridFunction &x) const
|
||||
|
||||
real_t HyperelasticOperator::KineticEnergy(const ParGridFunction &v) const
|
||||
{
|
||||
real_t energy = 0.5*M.ParInnerProduct(v, v);
|
||||
real_t loc_energy = 0.5*M.InnerProduct(v, v);
|
||||
real_t energy;
|
||||
MPI_Allreduce(&loc_energy, &energy, 1, MPITypeMap<real_t>::mpi_type, MPI_SUM,
|
||||
fespace.GetComm());
|
||||
return energy;
|
||||
}
|
||||
|
||||
|
||||
@@ -67,7 +67,6 @@ 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",
|
||||
@@ -96,8 +95,6 @@ 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())
|
||||
{
|
||||
@@ -112,12 +109,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 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
|
||||
// 2b. 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
|
||||
|
||||
+2
-11
@@ -61,7 +61,6 @@ 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",
|
||||
@@ -88,8 +87,6 @@ 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())
|
||||
{
|
||||
@@ -103,15 +100,9 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
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
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
kappa = freq * M_PI;
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
|
||||
+2
-11
@@ -58,7 +58,6 @@ 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",
|
||||
@@ -89,8 +88,6 @@ 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())
|
||||
{
|
||||
@@ -104,15 +101,9 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
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
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
kappa = freq * M_PI;
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
|
||||
+7
-28
@@ -59,8 +59,6 @@ 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;
|
||||
@@ -68,22 +66,15 @@ 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.");
|
||||
@@ -112,13 +103,7 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 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
|
||||
// 2b. 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
|
||||
@@ -132,11 +117,9 @@ 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.
|
||||
{
|
||||
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++)
|
||||
int ref_levels =
|
||||
(int)floor(log(10000./mesh->GetNE())/log(2.)/dim);
|
||||
for (int l = 0; l < ref_levels; l++)
|
||||
{
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
@@ -148,6 +131,7 @@ 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();
|
||||
@@ -203,26 +187,21 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 9. Define the parallel grid function and parallel linear forms, solution
|
||||
// vector and rhs.
|
||||
MemoryType mt = device.GetMemoryType();
|
||||
BlockVector x(block_offsets, mt), rhs(block_offsets, mt);
|
||||
BlockVector trueX(block_trueOffsets, mt), trueRhs(block_trueOffsets, mt);
|
||||
BlockVector x(block_offsets), rhs(block_offsets);
|
||||
BlockVector trueX(block_trueOffsets), trueRhs(block_trueOffsets);
|
||||
|
||||
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
|
||||
//
|
||||
|
||||
+1
-10
@@ -53,7 +53,6 @@ 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",
|
||||
@@ -74,8 +73,6 @@ 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())
|
||||
{
|
||||
@@ -89,13 +86,7 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 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
|
||||
// 2b. 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
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/petsc/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
@@ -66,6 +66,7 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Initialize MPI (required by PUMI) and HYPRE.
|
||||
Mpi::Init(argc, argv);
|
||||
int num_procs = Mpi::WorldSize();
|
||||
int myid = Mpi::WorldRank();
|
||||
Hypre::Init();
|
||||
|
||||
|
||||
@@ -80,6 +80,8 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Initialize MPI (required by PUMI) and HYPRE.
|
||||
Mpi::Init(argc, argv);
|
||||
int num_proc = Mpi::WorldSize();
|
||||
int myId = Mpi::WorldRank();
|
||||
Hypre::Init();
|
||||
|
||||
// 2. Parse command-line options.
|
||||
|
||||
@@ -12,10 +12,11 @@
|
||||
# Use the MFEM build directory
|
||||
MFEM_DIR ?= ../..
|
||||
MFEM_BUILD_DIR ?= ../..
|
||||
MFEM_INSTALL_DIR ?= ../../mfem
|
||||
SRC = $(if $(MFEM_DIR:../..=),$(MFEM_DIR)/examples/pumi/,)
|
||||
CONFIG_MK = $(or $(wildcard $(MFEM_BUILD_DIR)/config/config.mk),\
|
||||
$(wildcard $(MFEM_INSTALL_DIR)/share/mfem/config.mk))
|
||||
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
|
||||
|
||||
MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
@@ -31,21 +31,11 @@ include_directories(BEFORE ${PROJECT_BINARY_DIR})
|
||||
add_custom_target(test_sundials
|
||||
${CMAKE_CTEST_COMMAND} -R sundials USES_TERMINAL)
|
||||
|
||||
# Add one executable per cpp file, adding "sundials_" as prefix so the CMake
|
||||
# target is unique from those in the non-SUNDIALS examples. Also sets
|
||||
# "test_sundials" as a target that depends on the given SUNDIALS examples.
|
||||
# Add one executable per cpp file, adding "sundials_" as prefix. Sets
|
||||
# "test_sundials" as a target that depends on the given examples.
|
||||
set(PFX sundials_)
|
||||
add_mfem_examples(SUNDIALS_EXAMPLES_SRCS ${PFX} "" test_sundials)
|
||||
|
||||
# Remove "sundials_" prefix from exectuable name for consistency with GNU build
|
||||
# system.
|
||||
foreach(SRC_FILE ${SUNDIALS_EXAMPLES_SRCS})
|
||||
get_filename_component(SRC_FILENAME ${SRC_FILE} NAME)
|
||||
string(REPLACE ".cpp" "" TARGET_NAME "${PFX}${SRC_FILENAME}")
|
||||
string(REPLACE ${PFX} "" EXE_NAME ${TARGET_NAME})
|
||||
set_target_properties(${TARGET_NAME} PROPERTIES OUTPUT_NAME ${EXE_NAME})
|
||||
endforeach()
|
||||
|
||||
# Testing.
|
||||
# The SUNDIALS tests can be run separately using the target "test_sundials"
|
||||
# which builds the examples and runs:
|
||||
@@ -61,10 +51,7 @@ if (MFEM_ENABLE_TESTING)
|
||||
set(EX10_COMMON_OPTS -m ../../data/beam-quad.mesh -o 2 -s 5 -dt 0.15 -tf 6 -vs 10)
|
||||
set(EX10_TEST_OPTS ${EX10_COMMON_OPTS} -r 2)
|
||||
set(EX10P_TEST_OPTS ${EX10_COMMON_OPTS} -rp 1)
|
||||
# Example 16: test ARKODE with implicit time stepping using mass form
|
||||
set(EX16_COMMON_OPTS -s 15)
|
||||
set(EX16_TEST_OPTS ${EX16_COMMON_OPTS})
|
||||
set(EX16P_TEST_OPTS ${EX16_COMMON_OPTS})
|
||||
# Example 16: use the default options
|
||||
|
||||
# Add the tests: one test per source file.
|
||||
foreach(SRC_FILE ${SUNDIALS_EXAMPLES_SRCS})
|
||||
|
||||
+50
-112
@@ -1,17 +1,15 @@
|
||||
// MFEM Example 10
|
||||
// SUNDIALS Modification
|
||||
//
|
||||
// Compile with:
|
||||
// make ex10 (GNU make)
|
||||
// make sundials_ex10 (CMake)
|
||||
// Compile with: make ex10
|
||||
//
|
||||
// Sample runs:
|
||||
// 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 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-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-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
|
||||
@@ -99,11 +97,16 @@ 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,
|
||||
int kinsol_nls_type = -1, double kinsol_damping = 0.0,
|
||||
int kinsol_aa_n = 0);
|
||||
NonlinearSolverType nls_type);
|
||||
|
||||
/// Compute the right-hand side of the ODE system.
|
||||
virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
|
||||
@@ -221,10 +224,8 @@ int main(int argc, char *argv[])
|
||||
double mu = 0.25;
|
||||
double K = 5.0;
|
||||
bool visualization = true;
|
||||
int nonlinear_solver_type = 0;
|
||||
const char *nls = "newton";
|
||||
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;
|
||||
@@ -261,18 +262,9 @@ 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(&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(&nls, "-nls", "--nonlinear-solver",
|
||||
"Nonlinear systems solver: "
|
||||
"\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -303,32 +295,22 @@ 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. Refine the mesh to increase the resolution. In this example we do
|
||||
// 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
|
||||
// 'ref_levels' of uniform refinement, where 'ref_levels' is a
|
||||
// command-line parameter.
|
||||
for (int lev = 0; lev < ref_levels; lev++)
|
||||
@@ -336,7 +318,7 @@ int main(int argc, char *argv[])
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
|
||||
// 4. Define the vector finite element spaces representing the mesh
|
||||
// 5. 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,
|
||||
@@ -364,7 +346,7 @@ int main(int argc, char *argv[])
|
||||
FiniteElementSpace w_fespace(mesh, &w_fec);
|
||||
GridFunction w(&w_fespace);
|
||||
|
||||
// 5. Set the initial conditions for v and x, and the boundary conditions on
|
||||
// 6. 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);
|
||||
@@ -377,34 +359,9 @@ int main(int argc, char *argv[])
|
||||
ess_bdr = 0;
|
||||
ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
|
||||
|
||||
// 6. Initialize the hyperelastic operator, the GLVis visualization and print
|
||||
// 7. Initialize the hyperelastic operator, the GLVis visualization and print
|
||||
// the initial energies.
|
||||
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;
|
||||
}
|
||||
}
|
||||
HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
|
||||
|
||||
socketstream vis_v, vis_w;
|
||||
if (visualization)
|
||||
@@ -418,23 +375,23 @@ 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;
|
||||
|
||||
// 7. Define the ODE solver used for time integration. Several implicit
|
||||
// 8. 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;
|
||||
@@ -458,7 +415,7 @@ 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);
|
||||
@@ -471,7 +428,7 @@ 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);
|
||||
@@ -484,13 +441,9 @@ 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);
|
||||
#if MFEM_SUNDIALS_VERSION < 70100
|
||||
ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
|
||||
#else
|
||||
ARKodeSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
|
||||
#endif
|
||||
arkode->SetMaxStep(dt);
|
||||
if (ode_solver_type == 15)
|
||||
{
|
||||
@@ -500,16 +453,16 @@ 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); }
|
||||
|
||||
// 8. Perform time-integration (looping over the time iterations, ti, with a
|
||||
// 9. 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++)
|
||||
@@ -522,8 +475,8 @@ 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;
|
||||
@@ -537,14 +490,14 @@ 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);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 9. Save the displaced mesh, the velocity and elastic energy.
|
||||
// 10. Save the displaced mesh, the velocity and elastic energy.
|
||||
{
|
||||
v.SetFromTrueVector(); x.SetFromTrueVector();
|
||||
GridFunction *nodes = &x;
|
||||
@@ -559,11 +512,11 @@ 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);
|
||||
}
|
||||
|
||||
// 10. Free the used memory.
|
||||
// 11. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete mesh;
|
||||
|
||||
@@ -647,9 +600,7 @@ ReducedSystemOperator::~ReducedSystemOperator()
|
||||
HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
|
||||
Array<int> &ess_bdr, double visc,
|
||||
double mu, double K,
|
||||
int kinsol_nls_type,
|
||||
double kinsol_damping,
|
||||
int kinsol_aa_n)
|
||||
NonlinearSolverType nls_type)
|
||||
: TimeDependentOperator(2*f.GetTrueVSize(), 0.0), fespace(f),
|
||||
M(&fespace), S(&fespace), H(&fespace),
|
||||
viscosity(visc), z(height/2),
|
||||
@@ -700,28 +651,15 @@ HyperelasticOperator::HyperelasticOperator(FiniteElementSpace &f,
|
||||
J_prec = NULL;
|
||||
#endif
|
||||
|
||||
if (kinsol_nls_type > 0)
|
||||
if (nls_type == KINSOL)
|
||||
{
|
||||
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);
|
||||
}
|
||||
KINSolver *kinsolver = new KINSolver(KIN_NONE, true);
|
||||
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
|
||||
{
|
||||
|
||||
+64
-131
@@ -1,17 +1,15 @@
|
||||
// MFEM Example 10 - Parallel Version
|
||||
// SUNDIALS Modification
|
||||
//
|
||||
// Compile with:
|
||||
// make ex10p (GNU make)
|
||||
// make sundials_ex10p (CMake)
|
||||
// Compile with: make ex10p
|
||||
//
|
||||
// Sample runs:
|
||||
// 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 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-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-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
|
||||
@@ -101,11 +99,16 @@ 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,
|
||||
int kinsol_nls_type = -1, double kinsol_damping = 0.0,
|
||||
int kinsol_aa_n = 0);
|
||||
NonlinearSolverType nls_type);
|
||||
|
||||
/// Compute the right-hand side of the ODE system.
|
||||
virtual void Mult(const Vector &vx, Vector &dvx_dt) const;
|
||||
@@ -230,10 +233,8 @@ int main(int argc, char *argv[])
|
||||
double mu = 0.25;
|
||||
double K = 5.0;
|
||||
bool visualization = true;
|
||||
int nonlinear_solver_type = 0;
|
||||
const char *nls = "newton";
|
||||
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;
|
||||
@@ -272,18 +273,9 @@ 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(&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(&nls, "-nls", "--nonlinear-solver",
|
||||
"Nonlinear systems solver: "
|
||||
"\"newton\" (plain Newton) or \"kinsol\" (KINSOL).");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -323,42 +315,27 @@ 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. Refine the mesh in serial to increase the resolution. In this example
|
||||
// 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
|
||||
// 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++)
|
||||
@@ -366,7 +343,7 @@ int main(int argc, char *argv[])
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
|
||||
// 5. Define a parallel mesh by a partitioning of the serial mesh. Refine
|
||||
// 6. 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);
|
||||
@@ -376,7 +353,7 @@ int main(int argc, char *argv[])
|
||||
pmesh->UniformRefinement();
|
||||
}
|
||||
|
||||
// 6. Define the parallel vector finite element spaces representing the mesh
|
||||
// 7. 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
|
||||
@@ -408,7 +385,7 @@ int main(int argc, char *argv[])
|
||||
ParFiniteElementSpace w_fespace(pmesh, &w_fec);
|
||||
ParGridFunction w_gf(&w_fespace);
|
||||
|
||||
// 7. Set the initial conditions for v_gf, x_gf and vx, and define the
|
||||
// 8. 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);
|
||||
@@ -423,38 +400,9 @@ int main(int argc, char *argv[])
|
||||
ess_bdr = 0;
|
||||
ess_bdr[0] = 1; // boundary attribute 1 (index 0) is fixed
|
||||
|
||||
// 8. Initialize the hyperelastic operator, the GLVis visualization and print
|
||||
// 9. Initialize the hyperelastic operator, the GLVis visualization and print
|
||||
// the initial energies.
|
||||
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;
|
||||
}
|
||||
}
|
||||
HyperelasticOperator oper(fespace, ess_bdr, visc, mu, K, nls_map[nls]);
|
||||
|
||||
socketstream vis_v, vis_w;
|
||||
if (visualization)
|
||||
@@ -470,14 +418,14 @@ 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;
|
||||
@@ -485,11 +433,11 @@ int main(int argc, char *argv[])
|
||||
cout << "initial total energy (TE) = " << (ee0 + ke0) << endl;
|
||||
}
|
||||
|
||||
// 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.
|
||||
// 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.
|
||||
double t = 0.0;
|
||||
oper->SetTime(t);
|
||||
oper.SetTime(t);
|
||||
|
||||
ODESolver *ode_solver = NULL;
|
||||
CVODESolver *cvode = NULL;
|
||||
@@ -513,7 +461,7 @@ 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);
|
||||
@@ -526,7 +474,7 @@ 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);
|
||||
@@ -539,13 +487,9 @@ 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);
|
||||
#if MFEM_SUNDIALS_VERSION < 70100
|
||||
ARKStepSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
|
||||
#else
|
||||
ARKodeSetNonlinConvCoef(arkode->GetMem(), arkode_eps_nonlin);
|
||||
#endif
|
||||
arkode->SetMaxStep(dt);
|
||||
if (ode_solver_type == 15)
|
||||
{
|
||||
@@ -555,16 +499,16 @@ 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); }
|
||||
|
||||
// 10. Perform time-integration
|
||||
// 11. 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++)
|
||||
@@ -579,8 +523,8 @@ 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)
|
||||
{
|
||||
@@ -596,14 +540,14 @@ 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);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 11. Save the displaced mesh, the velocity and elastic energy.
|
||||
// 12. Save the displaced mesh, the velocity and elastic energy.
|
||||
{
|
||||
v_gf.SetFromTrueVector(); x_gf.SetFromTrueVector();
|
||||
GridFunction *nodes = &x_gf;
|
||||
@@ -624,11 +568,11 @@ 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);
|
||||
}
|
||||
|
||||
// 12. Free the used memory.
|
||||
// 13. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete pmesh;
|
||||
|
||||
@@ -718,10 +662,7 @@ ReducedSystemOperator::~ReducedSystemOperator()
|
||||
HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
|
||||
Array<int> &ess_bdr, double visc,
|
||||
double mu, double K,
|
||||
int kinsol_nls_type,
|
||||
double kinsol_damping,
|
||||
int kinsol_aa_n)
|
||||
|
||||
NonlinearSolverType nls_type)
|
||||
: TimeDependentOperator(2*f.TrueVSize(), 0.0), fespace(f),
|
||||
M(&fespace), S(&fespace), H(&fespace),
|
||||
viscosity(visc), M_solver(f.GetComm()), z(height/2),
|
||||
@@ -773,28 +714,17 @@ HyperelasticOperator::HyperelasticOperator(ParFiniteElementSpace &f,
|
||||
J_minres->SetPreconditioner(*J_prec);
|
||||
J_solver = J_minres;
|
||||
|
||||
if (kinsol_nls_type > 0)
|
||||
if (nls_type == KINSOL)
|
||||
{
|
||||
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);
|
||||
}
|
||||
KINSolver *kinsolver = new KINSolver(f.GetComm(), KIN_LINESEARCH, true);
|
||||
kinsolver->SetJFNK(true);
|
||||
kinsolver->SetLSMaxIter(100);
|
||||
newton_solver = kinsolver;
|
||||
newton_solver->SetOperator(*reduced_oper);
|
||||
newton_solver->SetMaxIter(200);
|
||||
newton_solver->SetRelTol(rel_tol);
|
||||
newton_solver->SetPrintLevel(0);
|
||||
newton_solver->SetPrintLevel(1);
|
||||
kinsolver->SetMaxSetupCalls(4);
|
||||
if (kinsol_damping > 0.0)
|
||||
{
|
||||
kinsolver->SetDamping(kinsol_damping);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
@@ -926,7 +856,10 @@ double HyperelasticOperator::ElasticEnergy(const ParGridFunction &x) const
|
||||
|
||||
double HyperelasticOperator::KineticEnergy(const ParGridFunction &v) const
|
||||
{
|
||||
double energy = 0.5*M.ParInnerProduct(v, v);
|
||||
double loc_energy = 0.5*M.InnerProduct(v, v);
|
||||
double energy;
|
||||
MPI_Allreduce(&loc_energy, &energy, 1, MPI_DOUBLE, MPI_SUM,
|
||||
fespace.GetComm());
|
||||
return energy;
|
||||
}
|
||||
|
||||
|
||||
+164
-257
@@ -1,21 +1,15 @@
|
||||
// MFEM Example 16
|
||||
// SUNDIALS Modification
|
||||
//
|
||||
// Compile with:
|
||||
// make ex16 (GNU make)
|
||||
// make sundials_ex16 (CMake)
|
||||
// Compile with: make ex16
|
||||
//
|
||||
// Sample runs: ex16
|
||||
// ex16 -m ../../data/inline-tri.mesh
|
||||
// ex16 -m ../../data/disc-nurbs.mesh -tf 2
|
||||
// ex16 -s 12 -a 0.0 -k 1.0
|
||||
// ex16 -s 15 -a 0.0 -k 1.0
|
||||
// ex16 -s 8 -a 1.0 -k 0.0 -dt 1e-4 -tf 5e-2 -vs 25
|
||||
// ex16 -s 11 -a 1.0 -k 0.0 -dt 1e-4 -tf 5e-2 -vs 25
|
||||
// ex16 -s 9 -a 0.5 -k 0.5 -o 4 -dt 1e-4 -tf 2e-2 -vs 25
|
||||
// ex16 -s 12 -a 0.5 -k 0.5 -o 4 -dt 1e-4 -tf 2e-2 -vs 25
|
||||
// ex16 -s 10 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// ex16 -s 13 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// ex16 -m ../../data/fichera-q2.mesh
|
||||
// ex16 -m ../../data/escher.mesh
|
||||
// ex16 -m ../../data/beam-tet.mesh -tf 10 -dt 0.1
|
||||
@@ -43,102 +37,75 @@
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
/** After spatial discretization, the conduction model is expressed as
|
||||
/** After spatial discretization, the conduction model can be written as:
|
||||
*
|
||||
* M du/dt = - K(u) u
|
||||
* du/dt = M^{-1}(-Ku)
|
||||
*
|
||||
* where u is the vector representing the temperature, M is the mass matrix,
|
||||
* and K(u) is the diffusion operator with diffusivity depending on u:
|
||||
* and K is the diffusion operator with diffusivity depending on u:
|
||||
* (\kappa + \alpha u).
|
||||
*
|
||||
* Class ConductionOperatorOperator represents the above ODE operator in the
|
||||
* general form F(u, k, t) = G(u, t) where
|
||||
*
|
||||
* 1. F(u, du/dt, t) = du/dt (ODE is expressed in EXPLICIT form)
|
||||
* G(u, t) = - inv(M) K(u) u
|
||||
* 2. F(u, du/dt, t) = M du/dt (ODE is expressed in IMPLICIT form)
|
||||
* G(u, t) = - K(u) u
|
||||
* Class ConductionOperator represents the right-hand side of the above ODE.
|
||||
*/
|
||||
class ConductionOperator : public TimeDependentOperator
|
||||
{
|
||||
protected:
|
||||
FiniteElementSpace &fespace;
|
||||
Array<int> ess_tdof_list; // this list remains empty for pure Neumann b.c.
|
||||
|
||||
BilinearForm M;
|
||||
SparseMatrix Mmat;
|
||||
BilinearForm *M;
|
||||
BilinearForm *K;
|
||||
|
||||
const real_t alpha, kappa;
|
||||
std::unique_ptr<BilinearForm> K;
|
||||
SparseMatrix Kmat;
|
||||
|
||||
std::unique_ptr<SparseMatrix> T; // T = M + gam K(u)
|
||||
SparseMatrix Mmat, Kmat;
|
||||
SparseMatrix *T; // T = M + dt K
|
||||
|
||||
CGSolver M_solver; // Krylov solver for inverting the mass matrix M
|
||||
DSmoother M_prec; // Preconditioner for the mass matrix M
|
||||
|
||||
CGSolver T_solver; // Implicit solver for T = M + gam K(u)
|
||||
CGSolver T_solver; // Implicit solver for T = M + dt K
|
||||
DSmoother T_prec; // Preconditioner for the implicit solver
|
||||
|
||||
double alpha, kappa;
|
||||
|
||||
mutable Vector z; // auxiliary vector
|
||||
|
||||
public:
|
||||
ConductionOperator(FiniteElementSpace &f, double alpha, double kappa,
|
||||
const Vector &u);
|
||||
|
||||
ConductionOperator(FiniteElementSpace &f, const real_t alpha,
|
||||
const real_t kappa, const Vector &u,
|
||||
const Type &ode_expression_type);
|
||||
virtual void Mult(const Vector &u, Vector &du_dt) const;
|
||||
|
||||
// Compute K(u_n) for use as an approximation in - K(u) u
|
||||
void SetConductionTensor(const Vector &u);
|
||||
/** 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 double dt, const Vector &u, Vector &k);
|
||||
|
||||
/** Compute G(u, t) as defined in the IMPLICIT expression form of the ODE
|
||||
operator, i.e., @a v = - K(u_n) @a u. Note that K(u_n) is an
|
||||
approximation to K(u). */
|
||||
void ExplicitMult(const Vector &u, Vector &v) const override;
|
||||
/// Custom Jacobian system solver for the SUNDIALS time integrators.
|
||||
/** For the ODE system represented by ConductionOperator
|
||||
|
||||
/** Solve for k in F(u, k, t) = G(u, t) for either EXPLICIT or IMPLICIT
|
||||
expression forms of the ODE operator, i.e., @a k = - inv(M) K(u_n) @a u.
|
||||
Note that K(u_n) is an approximation to K(u). */
|
||||
void Mult(const Vector &u, Vector &k) const override;
|
||||
M du/dt = -K(u),
|
||||
|
||||
/** Solve for k in F(u + gam*k, k, t) = G(u + gam*k, t) for either EXPLICIT
|
||||
or IMPLICIT expression forms of the ODE operator, i.e.,
|
||||
[ M + @a gam K(u_n) ] @a k = - K(u_n) @a u . Note that K(u_n) is an
|
||||
approximation to K(u). */
|
||||
void ImplicitSolve(const real_t gam, const Vector &u, Vector &k) override;
|
||||
this class facilitates the solution of linear systems of the form
|
||||
|
||||
/** Setup to solve for dk in [dF/dk + gam*dF/du - gam*dG/du] dk = G - F for
|
||||
either EXPLICIT or IMPLICIT expression forms of the ODE operator, i.e.,
|
||||
[M - @a gam Jf(u)] dk = G - F, where Jf(u) is an approximation of the
|
||||
Jacobian of -K(u) u. The approximation chosen here is Jf(u) = -K(u_n). */
|
||||
int SUNImplicitSetup(const Vector &u, const Vector &fu, int jok, int *jcur,
|
||||
real_t gam) override;
|
||||
(M + γK) y = M b,
|
||||
|
||||
/** Solve for @a dk in the system in SUNImplicitSetup to the given tolerance,
|
||||
with the residual @a r providing either
|
||||
1. @a r = G - F = inv(M) f(u) - k (EXPLICIT expression form)
|
||||
1. @a r = G - F = f(u) - M k (IMPLICIT expression form)
|
||||
*/
|
||||
int SUNImplicitSolve(const Vector &r, Vector &dk, real_t tol) override;
|
||||
for given b, u (not used), and γ = GetTimeStep(). */
|
||||
|
||||
int SUNMassSetup() override;
|
||||
/** Setup the system (M + dt K) x = M b. This method is used by the implicit
|
||||
SUNDIALS solvers. */
|
||||
virtual int SUNImplicitSetup(const Vector &x, const Vector &fx,
|
||||
int jok, int *jcur, double gamma);
|
||||
|
||||
int SUNMassSolve(const Vector &b, Vector &x, real_t tol) override;
|
||||
/** Solve the system (M + dt K) x = M b. This method is used by the implicit
|
||||
SUNDIALS solvers. */
|
||||
virtual int SUNImplicitSolve(const Vector &b, Vector &x, double tol);
|
||||
|
||||
int SUNMassMult(const Vector &x, Vector &v) override;
|
||||
/// Update the diffusion BilinearForm K using the given true-dof vector `u`.
|
||||
void SetParameters(const Vector &u);
|
||||
|
||||
virtual ~ConductionOperator();
|
||||
};
|
||||
|
||||
real_t InitialTemperature(const Vector &x)
|
||||
{
|
||||
if (x.Norml2() < 0.5)
|
||||
{
|
||||
return 2.0;
|
||||
}
|
||||
else
|
||||
{
|
||||
return 1.0;
|
||||
}
|
||||
}
|
||||
|
||||
double InitialTemperature(const Vector &x);
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
@@ -150,16 +117,16 @@ int main(int argc, char *argv[])
|
||||
int ref_levels = 2;
|
||||
int order = 2;
|
||||
int ode_solver_type = 9; // CVODE implicit BDF
|
||||
real_t t_final = 0.5;
|
||||
real_t dt = 1.0e-2;
|
||||
real_t alpha = 1.0e-2;
|
||||
real_t kappa = 0.5;
|
||||
double t_final = 0.5;
|
||||
double dt = 1.0e-2;
|
||||
double alpha = 1.0e-2;
|
||||
double kappa = 0.5;
|
||||
bool visualization = true;
|
||||
bool visit = false;
|
||||
int vis_steps = 5;
|
||||
|
||||
// Relative and absolute tolerances for CVODE and ARKODE.
|
||||
const real_t reltol = 1e-4, abstol = 1e-4;
|
||||
const double reltol = 1e-4, abstol = 1e-4;
|
||||
|
||||
int precision = 8;
|
||||
cout.precision(precision);
|
||||
@@ -184,10 +151,7 @@ int main(int argc, char *argv[])
|
||||
"9 - CVODE (implicit BDF),\n\t"
|
||||
"10 - ARKODE (default explicit),\n\t"
|
||||
"11 - ARKODE (explicit Fehlberg-6-4-5),\n\t"
|
||||
"12 - ARKODE (default implicit),\n\t"
|
||||
"13 - ARKODE (default explicit with MFEM mass solve),\n\t"
|
||||
"14 - ARKODE (explicit Fehlberg-6-4-5 with MFEM mass solve),\n\t"
|
||||
"15 - ARKODE (default implicit with MFEM mass solve).");
|
||||
"12 - ARKODE (default impicit).");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -210,13 +174,16 @@ int main(int argc, char *argv[])
|
||||
args.PrintUsage(cout);
|
||||
return 1;
|
||||
}
|
||||
if (ode_solver_type < 1 || ode_solver_type > 12)
|
||||
{
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
}
|
||||
args.PrintOptions(cout);
|
||||
|
||||
bool use_mass_solver = ode_solver_type >= 13;
|
||||
|
||||
// 2. Read the mesh from the given mesh file. We can handle triangular,
|
||||
// quadrilateral, tetrahedral and hexahedral meshes with the same code.
|
||||
std::unique_ptr<Mesh> mesh(new Mesh(mesh_file, 1, 1));
|
||||
Mesh *mesh = new Mesh(mesh_file, 1, 1);
|
||||
int dim = mesh->Dimension();
|
||||
|
||||
// 3. Refine the mesh to increase the resolution. In this example we do
|
||||
@@ -230,7 +197,7 @@ int main(int argc, char *argv[])
|
||||
// 4. Define the vector finite element space representing the current and the
|
||||
// initial temperature, u_ref.
|
||||
H1_FECollection fe_coll(order, dim);
|
||||
FiniteElementSpace fespace(mesh.get(), &fe_coll);
|
||||
FiniteElementSpace fespace(mesh, &fe_coll);
|
||||
|
||||
int fe_size = fespace.GetTrueVSize();
|
||||
cout << "Number of temperature unknowns: " << fe_size << endl;
|
||||
@@ -244,17 +211,8 @@ int main(int argc, char *argv[])
|
||||
Vector u;
|
||||
u_gf.GetTrueDofs(u);
|
||||
|
||||
// 6. Initialize the conduction ODE operator and the visualization.
|
||||
ConductionOperator::Type ode_expression_type;
|
||||
if (use_mass_solver)
|
||||
{
|
||||
ode_expression_type = ConductionOperator::Type::IMPLICIT;
|
||||
}
|
||||
else
|
||||
{
|
||||
ode_expression_type = ConductionOperator::Type::EXPLICIT;
|
||||
}
|
||||
ConductionOperator oper(fespace, alpha, kappa, u, ode_expression_type);
|
||||
// 6. Initialize the conduction operator and the visualization.
|
||||
ConductionOperator oper(fespace, alpha, kappa, u);
|
||||
|
||||
u_gf.SetFromTrueDofs(u);
|
||||
{
|
||||
@@ -266,7 +224,7 @@ int main(int argc, char *argv[])
|
||||
u_gf.Save(osol);
|
||||
}
|
||||
|
||||
VisItDataCollection visit_dc("Example16", mesh.get());
|
||||
VisItDataCollection visit_dc("Example16", mesh);
|
||||
visit_dc.RegisterField("temperature", &u_gf);
|
||||
if (visit)
|
||||
{
|
||||
@@ -300,75 +258,52 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 7. Define the ODE solver used for time integration.
|
||||
real_t t = 0.0;
|
||||
std::unique_ptr<ODESolver> ode_solver;
|
||||
double t = 0.0;
|
||||
ODESolver *ode_solver = NULL;
|
||||
CVODESolver *cvode = NULL;
|
||||
ARKStepSolver *arkode = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// MFEM explicit methods
|
||||
case 1: ode_solver = std::make_unique<ForwardEulerSolver>(); break;
|
||||
case 2: ode_solver = std::make_unique<RK2Solver>(0.5); break; // midpoint method
|
||||
case 3: ode_solver = std::make_unique<RK3SSPSolver>(); break;
|
||||
case 4: ode_solver = std::make_unique<RK4Solver>(); break;
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
// MFEM implicit L-stable methods
|
||||
case 5: ode_solver = std::make_unique<BackwardEulerSolver>(); break;
|
||||
case 6: ode_solver = std::make_unique<SDIRK23Solver>(2); break;
|
||||
case 7: ode_solver = std::make_unique<SDIRK33Solver>(); break;
|
||||
case 5: ode_solver = new BackwardEulerSolver; break;
|
||||
case 6: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 7: ode_solver = new SDIRK33Solver; break;
|
||||
// CVODE
|
||||
case 8:
|
||||
case 9:
|
||||
{
|
||||
int cvode_solver_type;
|
||||
if (ode_solver_type == 8)
|
||||
{
|
||||
cvode_solver_type = CV_ADAMS;
|
||||
}
|
||||
else
|
||||
{
|
||||
cvode_solver_type = CV_BDF;
|
||||
}
|
||||
std::unique_ptr<CVODESolver> cvode(new CVODESolver(cvode_solver_type));
|
||||
cvode = new CVODESolver(CV_ADAMS);
|
||||
cvode->Init(oper);
|
||||
cvode->SetSStolerances(reltol, abstol);
|
||||
cvode->SetMaxStep(dt);
|
||||
ode_solver = std::move(cvode);
|
||||
break;
|
||||
}
|
||||
ode_solver = cvode; break;
|
||||
case 9:
|
||||
cvode = new CVODESolver(CV_BDF);
|
||||
cvode->Init(oper);
|
||||
cvode->SetSStolerances(reltol, abstol);
|
||||
cvode->SetMaxStep(dt);
|
||||
ode_solver = cvode; break;
|
||||
// ARKODE
|
||||
case 10:
|
||||
case 11:
|
||||
case 12:
|
||||
case 13:
|
||||
case 14:
|
||||
case 15:
|
||||
{
|
||||
ARKStepSolver::Type arkode_solver_type;
|
||||
if (ode_solver_type == 12 || ode_solver_type == 15)
|
||||
{
|
||||
arkode_solver_type = ARKStepSolver::IMPLICIT;
|
||||
}
|
||||
else
|
||||
{
|
||||
arkode_solver_type = ARKStepSolver::EXPLICIT;
|
||||
}
|
||||
std::unique_ptr<ARKStepSolver> arkode(
|
||||
new ARKStepSolver(arkode_solver_type));
|
||||
arkode = new ARKStepSolver(ARKStepSolver::EXPLICIT);
|
||||
arkode->Init(oper);
|
||||
arkode->SetSStolerances(reltol, abstol);
|
||||
arkode->SetMaxStep(dt);
|
||||
if (ode_solver_type == 11 || ode_solver_type == 14)
|
||||
if (ode_solver_type == 11)
|
||||
{
|
||||
arkode->SetERKTableNum(ARKODE_FEHLBERG_13_7_8);
|
||||
}
|
||||
if (use_mass_solver)
|
||||
{
|
||||
arkode->UseMFEMMassLinearSolver(SUNFALSE);
|
||||
}
|
||||
ode_solver = std::move(arkode);
|
||||
break;
|
||||
}
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
ode_solver = arkode; break;
|
||||
case 12:
|
||||
arkode = new ARKStepSolver(ARKStepSolver::IMPLICIT);
|
||||
arkode->Init(oper);
|
||||
arkode->SetSStolerances(reltol, abstol);
|
||||
arkode->SetMaxStep(dt);
|
||||
ode_solver = arkode; break;
|
||||
}
|
||||
|
||||
// Initialize MFEM integrators, SUNDIALS integrators are initialized above
|
||||
@@ -376,14 +311,8 @@ int main(int argc, char *argv[])
|
||||
|
||||
// Since we want to update the diffusion coefficient after every time step,
|
||||
// we need to use the "one-step" mode of the SUNDIALS solvers.
|
||||
if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
|
||||
{
|
||||
cvode->SetStepMode(CV_ONE_STEP);
|
||||
}
|
||||
else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
|
||||
{
|
||||
arkode->SetStepMode(ARK_ONE_STEP);
|
||||
}
|
||||
if (cvode) { cvode->SetStepMode(CV_ONE_STEP); }
|
||||
if (arkode) { arkode->SetStepMode(ARK_ONE_STEP); }
|
||||
|
||||
// 8. Perform time-integration (looping over the time iterations, ti, with a
|
||||
// time-step dt).
|
||||
@@ -394,7 +323,7 @@ int main(int argc, char *argv[])
|
||||
bool last_step = false;
|
||||
for (int ti = 1; !last_step; ti++)
|
||||
{
|
||||
real_t dt_real = min(dt, t_final - t);
|
||||
double dt_real = min(dt, t_final - t);
|
||||
|
||||
// Note that since we are using the "one-step" mode of the SUNDIALS
|
||||
// solvers, they will, generally, step over the final time and will not
|
||||
@@ -408,14 +337,8 @@ int main(int argc, char *argv[])
|
||||
if (last_step || (ti % vis_steps) == 0)
|
||||
{
|
||||
cout << "step " << ti << ", t = " << t << endl;
|
||||
if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
|
||||
{
|
||||
cvode->PrintInfo();
|
||||
}
|
||||
else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
|
||||
{
|
||||
arkode->PrintInfo();
|
||||
}
|
||||
if (cvode) { cvode->PrintInfo(); }
|
||||
if (arkode) { arkode->PrintInfo(); }
|
||||
|
||||
u_gf.SetFromTrueDofs(u);
|
||||
if (visualization)
|
||||
@@ -430,153 +353,137 @@ int main(int argc, char *argv[])
|
||||
visit_dc.Save();
|
||||
}
|
||||
}
|
||||
oper.SetConductionTensor(u);
|
||||
oper.SetParameters(u);
|
||||
}
|
||||
tic_toc.Stop();
|
||||
cout << "Done, " << tic_toc.RealTime() << "s." << endl;
|
||||
|
||||
// 9. Save the final solution. This output can be viewed later using GLVis:
|
||||
// "glvis -m ex16.mesh -g ex16-final.gf".
|
||||
u_gf.Save("ex16-final.gf", precision);
|
||||
{
|
||||
ofstream osol("ex16-final.gf");
|
||||
osol.precision(precision);
|
||||
u_gf.Save(osol);
|
||||
}
|
||||
|
||||
// 10. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete mesh;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
ConductionOperator::ConductionOperator(FiniteElementSpace &fes,
|
||||
const real_t alpha, const real_t kappa,
|
||||
const Vector &u,
|
||||
const Type &ode_expression_type)
|
||||
: TimeDependentOperator(fes.GetTrueVSize(), 0.0, ode_expression_type),
|
||||
fespace(fes), M(&fespace), alpha(alpha), kappa(kappa), z(height)
|
||||
ConductionOperator::ConductionOperator(FiniteElementSpace &f, double al,
|
||||
double kap, const Vector &u)
|
||||
: TimeDependentOperator(f.GetTrueVSize(), 0.0), fespace(f), M(NULL), K(NULL),
|
||||
T(NULL), z(height)
|
||||
{
|
||||
// specify a relative tolerance for all solves with MFEM integrators
|
||||
const real_t rel_tol = 1e-8;
|
||||
const double rel_tol = 1e-8;
|
||||
|
||||
M.AddDomainIntegrator(new MassIntegrator());
|
||||
M.Assemble();
|
||||
M.FormSystemMatrix(ess_tdof_list, Mmat);
|
||||
M = new BilinearForm(&fespace);
|
||||
M->AddDomainIntegrator(new MassIntegrator());
|
||||
M->Assemble();
|
||||
M->FormSystemMatrix(ess_tdof_list, Mmat);
|
||||
|
||||
M_solver.iterative_mode = false;
|
||||
M_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
|
||||
M_solver.SetRelTol(rel_tol);
|
||||
M_solver.SetAbsTol(0.0);
|
||||
M_solver.SetMaxIter(50);
|
||||
M_solver.SetPrintLevel(0);
|
||||
M_solver.SetPreconditioner(M_prec);
|
||||
M_solver.SetOperator(Mmat);
|
||||
|
||||
alpha = al;
|
||||
kappa = kap;
|
||||
|
||||
T_solver.iterative_mode = false;
|
||||
T_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
|
||||
T_solver.SetRelTol(rel_tol);
|
||||
T_solver.SetAbsTol(0.0);
|
||||
T_solver.SetMaxIter(100);
|
||||
T_solver.SetPrintLevel(0);
|
||||
T_solver.SetPreconditioner(T_prec);
|
||||
|
||||
SetConductionTensor(u);
|
||||
SetParameters(u);
|
||||
}
|
||||
|
||||
void ConductionOperator::SetConductionTensor(const Vector &u)
|
||||
void ConductionOperator::Mult(const Vector &u, Vector &du_dt) const
|
||||
{
|
||||
// Compute:
|
||||
// du_dt = M^{-1}*-K(u)
|
||||
// for du_dt
|
||||
Kmat.Mult(u, z);
|
||||
z.Neg(); // z = -z
|
||||
M_solver.Mult(z, du_dt);
|
||||
}
|
||||
|
||||
void ConductionOperator::ImplicitSolve(const double dt,
|
||||
const Vector &u, Vector &du_dt)
|
||||
{
|
||||
// Solve the equation:
|
||||
// du_dt = M^{-1}*[-K(u + dt*du_dt)]
|
||||
// for du_dt
|
||||
if (T) { delete T; }
|
||||
T = Add(1.0, Mmat, dt, Kmat);
|
||||
T_solver.SetOperator(*T);
|
||||
Kmat.Mult(u, z);
|
||||
z.Neg();
|
||||
T_solver.Mult(z, du_dt);
|
||||
}
|
||||
|
||||
void ConductionOperator::SetParameters(const Vector &u)
|
||||
{
|
||||
// Compute K(u_n).
|
||||
GridFunction u_alpha_gf(&fespace);
|
||||
u_alpha_gf.SetFromTrueDofs(u);
|
||||
for (int i = 0; i < u_alpha_gf.Size(); i++)
|
||||
{
|
||||
u_alpha_gf(i) = kappa + alpha*u_alpha_gf(i);
|
||||
}
|
||||
|
||||
delete K;
|
||||
K = new BilinearForm(&fespace);
|
||||
|
||||
GridFunctionCoefficient u_coeff(&u_alpha_gf);
|
||||
|
||||
K = std::make_unique<BilinearForm>(&fespace);
|
||||
K->AddDomainIntegrator(new DiffusionIntegrator(u_coeff));
|
||||
K->Assemble();
|
||||
K->FormSystemMatrix(ess_tdof_list, Kmat);
|
||||
}
|
||||
|
||||
void ConductionOperator::ExplicitMult(const Vector &u, Vector &v) const
|
||||
int ConductionOperator::SUNImplicitSetup(const Vector &x,
|
||||
const Vector &fx, int jok, int *jcur,
|
||||
double gamma)
|
||||
{
|
||||
// Compute - K(u_n) u.
|
||||
Kmat.Mult(u, v);
|
||||
v.Neg();
|
||||
}
|
||||
|
||||
void ConductionOperator::Mult(const Vector &u, Vector &k) const
|
||||
{
|
||||
// Compute - inv(M) K(u_n) u.
|
||||
ExplicitMult(u, z);
|
||||
M_solver.Mult(z, k);
|
||||
}
|
||||
|
||||
void ConductionOperator::ImplicitSolve(const real_t gam, const Vector &u,
|
||||
Vector &k)
|
||||
{
|
||||
// Solve for k in M k = - K(u_n) [u + gam*k].
|
||||
ExplicitMult(u, z);
|
||||
T = std::unique_ptr<SparseMatrix>(Add(1.0, Mmat, gam, Kmat));
|
||||
// Setup the ODE Jacobian T = M + gamma K.
|
||||
if (T) { delete T; }
|
||||
T = Add(1.0, Mmat, gamma, Kmat);
|
||||
T_solver.SetOperator(*T);
|
||||
T_solver.Mult(z, k);
|
||||
*jcur = 1;
|
||||
return (0);
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
|
||||
int jok, int *jcur, real_t gam)
|
||||
int ConductionOperator::SUNImplicitSolve(const Vector &b, Vector &x, double tol)
|
||||
{
|
||||
// Compute T = M + gamma K(u_n).
|
||||
T = std::unique_ptr<SparseMatrix>(Add(1.0, Mmat, gam, Kmat));
|
||||
T_solver.SetOperator(*T);
|
||||
*jcur = SUNTRUE; // this should eventually only be set true if K(u) is used
|
||||
return SUN_SUCCESS;
|
||||
// Solve the system A x = z => (M - gamma K) x = M b.
|
||||
Mmat.Mult(b, z);
|
||||
T_solver.Mult(z, x);
|
||||
return (0);
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
|
||||
real_t tol)
|
||||
ConductionOperator::~ConductionOperator()
|
||||
{
|
||||
// Solve the system [M + gamma K(u_n)] dk = - K(u_n) u - M k.
|
||||
// What value r is providing depends on the ODE expression form:
|
||||
// EXPLICIT form: r = -inv(M) K(u_n) u - k
|
||||
// IMPLICIT form: r = -K(u_n) u - M k
|
||||
T_solver.SetRelTol(tol);
|
||||
if (isExplicit())
|
||||
delete T;
|
||||
delete M;
|
||||
delete K;
|
||||
}
|
||||
|
||||
double InitialTemperature(const Vector &x)
|
||||
{
|
||||
if (x.Norml2() < 0.5)
|
||||
{
|
||||
Mmat.Mult(r, z);
|
||||
T_solver.Mult(z, dk);
|
||||
return 2.0;
|
||||
}
|
||||
else
|
||||
{
|
||||
T_solver.Mult(r, dk);
|
||||
}
|
||||
if (T_solver.GetConverged())
|
||||
{
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
else
|
||||
{
|
||||
return SUNLS_CONV_FAIL;
|
||||
return 1.0;
|
||||
}
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassSetup()
|
||||
{
|
||||
// Do nothing b/c mass solver was setup in constructor.
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
|
||||
{
|
||||
// Solve the system M x = b.
|
||||
M_solver.SetRelTol(tol);
|
||||
M_solver.Mult(b, x);
|
||||
if (M_solver.GetConverged())
|
||||
{
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
else
|
||||
{
|
||||
return SUNLS_CONV_FAIL;
|
||||
}
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
|
||||
{
|
||||
// Compute M x.
|
||||
Mmat.Mult(x, v);
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
|
||||
|
||||
+189
-286
@@ -1,22 +1,16 @@
|
||||
// MFEM Example 16 - Parallel Version
|
||||
// SUNDIALS Modification
|
||||
//
|
||||
// Compile with:
|
||||
// make ex16p (GNU make)
|
||||
// make sundials_ex16p (CMake)
|
||||
// Compile with: make ex16p
|
||||
//
|
||||
// Sample runs:
|
||||
// mpirun -np 4 ex16p
|
||||
// mpirun -np 4 ex16p -m ../../data/inline-tri.mesh
|
||||
// mpirun -np 4 ex16p -m ../../data/disc-nurbs.mesh -tf 2
|
||||
// mpirun -np 4 ex16p -s 12 -a 0.0 -k 1.0
|
||||
// mpirun -np 4 ex16p -s 15 -a 0.0 -k 1.0
|
||||
// mpirun -np 4 ex16p -s 8 -a 1.0 -k 0.0 -dt 4e-6 -tf 2e-2 -vs 50
|
||||
// mpirun -np 4 ex16p -s 11 -a 1.0 -k 0.0 -dt 4e-6 -tf 2e-2 -vs 50
|
||||
// mpirun -np 8 ex16p -s 9 -a 0.5 -k 0.5 -o 4 -dt 8e-6 -tf 2e-2 -vs 50
|
||||
// mpirun -np 8 ex16p -s 12 -a 0.5 -k 0.5 -o 4 -dt 8e-6 -tf 2e-2 -vs 50
|
||||
// mpirun -np 4 ex16p -s 10 -dt 2.0e-4 -tf 4.0e-2
|
||||
// mpirun -np 4 ex16p -s 13 -dt 2.0e-4 -tf 4.0e-2
|
||||
// mpirun -np 16 ex16p -m ../../data/fichera-q2.mesh
|
||||
// mpirun -np 16 ex16p -m ../../data/escher-p2.mesh
|
||||
// mpirun -np 8 ex16p -m ../../data/beam-tet.mesh -tf 10 -dt 0.1
|
||||
@@ -44,102 +38,66 @@
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
/** After spatial discretization, the conduction model is expressed as
|
||||
/** After spatial discretization, the conduction model can be written as:
|
||||
*
|
||||
* M du/dt = - K(u) u
|
||||
* du/dt = M^{-1}(-Ku)
|
||||
*
|
||||
* where u is the vector representing the temperature, M is the mass matrix,
|
||||
* and K(u) is the diffusion operator with diffusivity depending on u:
|
||||
* and K is the diffusion operator with diffusivity depending on u:
|
||||
* (\kappa + \alpha u).
|
||||
*
|
||||
* Class ConductionOperatorOperator represents the above ODE operator in the
|
||||
* general form F(u, k, t) = G(u, t) where either
|
||||
*
|
||||
* 1. F(u, du/dt, t) = du/dt (ODE is expressed in EXPLICIT form)
|
||||
* G(u, t) = - inv(M) K(u) u
|
||||
* 2. F(u, du/dt, t) = M du/dt (ODE is expressed in IMPLICIT form)
|
||||
* G(u, t) = - K(u) u
|
||||
* Class ConductionOperator represents the right-hand side of the above ODE.
|
||||
*/
|
||||
class ConductionOperator : public TimeDependentOperator
|
||||
{
|
||||
protected:
|
||||
ParFiniteElementSpace &fespace;
|
||||
Array<int> ess_tdof_list; // this list remains empty for pure Neumann b.c.
|
||||
|
||||
ParBilinearForm M;
|
||||
ParBilinearForm *M;
|
||||
ParBilinearForm *K;
|
||||
|
||||
HypreParMatrix Mmat;
|
||||
|
||||
const real_t alpha, kappa;
|
||||
std::unique_ptr<BilinearForm> K;
|
||||
HypreParMatrix Kmat;
|
||||
HypreParMatrix *T; // T = M + dt K
|
||||
double current_dt;
|
||||
|
||||
std::unique_ptr<HypreParMatrix> T; // T = M + gam K(u)
|
||||
CGSolver M_solver; // Krylov solver for inverting the mass matrix M
|
||||
HypreSmoother M_prec; // Preconditioner for the mass matrix M
|
||||
|
||||
CGSolver M_solver; // Krylov solver for inverting the mass matrix M
|
||||
HypreSmoother M_prec; // Preconditioner for the mass matrix M
|
||||
CGSolver T_solver; // Implicit solver for T = M + dt K
|
||||
HypreSmoother T_prec; // Preconditioner for the implicit solver
|
||||
|
||||
CGSolver T_solver; // Implicit solver for T = M + gam K(u)
|
||||
HypreSmoother T_prec; // Preconditioner for the implicit solver
|
||||
double alpha, kappa;
|
||||
|
||||
mutable Vector z; // auxiliary vector
|
||||
|
||||
public:
|
||||
ConductionOperator(ParFiniteElementSpace &f, double alpha, double kappa,
|
||||
const Vector &u);
|
||||
|
||||
ConductionOperator(ParFiniteElementSpace &f, const real_t alpha,
|
||||
const real_t kappa, const Vector &u,
|
||||
const Type &ode_expression_type);
|
||||
virtual void Mult(const Vector &u, Vector &du_dt) const;
|
||||
|
||||
// Compute K(u_n) for use as an approximation in - K(u) u
|
||||
void SetConductionTensor(const Vector &u);
|
||||
/** 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 double dt, const Vector &u, Vector &k);
|
||||
|
||||
/** Compute G(u, t) as defined in the IMPLICIT expression form of the ODE
|
||||
operator, i.e., @a v = - K(u_n) @a u. Note that K(u_n) is an
|
||||
approximation to K(u). */
|
||||
void ExplicitMult(const Vector &u, Vector &v) const override;
|
||||
/** Setup the system (M + dt K) x = M b. This method is used by the implicit
|
||||
SUNDIALS solvers. */
|
||||
virtual int SUNImplicitSetup(const Vector &x, const Vector &fx,
|
||||
int jok, int *jcur, double gamma);
|
||||
|
||||
/** Solve for k in F(u, k, t) = G(u, t) for either EXPLICIT or IMPLICIT
|
||||
expression forms of the ODE operator, i.e., @a k = - inv(M) K(u_n) @a u.
|
||||
Note that K(u_n) is an approximation to K(u). */
|
||||
void Mult(const Vector &u, Vector &k) const override;
|
||||
/** Solve the system (M + dt K) x = M b. This method is used by the implicit
|
||||
SUNDIALS solvers. */
|
||||
virtual int SUNImplicitSolve(const Vector &b, Vector &x, double tol);
|
||||
|
||||
/** Solve for k in F(u + gam*k, k, t) = G(u + gam*k, t) for either EXPLICIT
|
||||
or IMPLICIT expression forms of the ODE operator, i.e.,
|
||||
[ M + @a gam K(u_n) ] @a k = - K(u_n) @a u . Note that K(u_n) is an
|
||||
approximation to K(u). */
|
||||
void ImplicitSolve(const real_t gam, const Vector &u, Vector &k) override;
|
||||
/// Update the diffusion BilinearForm K using the given true-dof vector `u`.
|
||||
void SetParameters(const Vector &u);
|
||||
|
||||
/** Setup to solve for dk in [dF/dk + gam*dF/du - gam*dG/du] dk = G - F for
|
||||
either EXPLICIT or IMPLICIT expression forms of the ODE operator, i.e.,
|
||||
[M - @a gam Jf(u)] dk = G - F, where Jf(u) is an approximation of the
|
||||
Jacobian of -K(u) u. The approximation chosen here is Jf(u) = -K(u_n). */
|
||||
int SUNImplicitSetup(const Vector &u, const Vector &fu, int jok, int *jcur,
|
||||
real_t gam) override;
|
||||
|
||||
/** Solve for @a dk in the system in SUNImplicitSetup to the given tolerance,
|
||||
with the residual @a r providing either
|
||||
1. @a r = G - F = inv(M) f(u) - k (EXPLICIT expression form)
|
||||
1. @a r = G - F = f(u) - M k (IMPLICIT expression form)
|
||||
*/
|
||||
int SUNImplicitSolve(const Vector &r, Vector &dk, real_t tol) override;
|
||||
|
||||
int SUNMassSetup() override;
|
||||
|
||||
int SUNMassSolve(const Vector &b, Vector &x, real_t tol) override;
|
||||
|
||||
int SUNMassMult(const Vector &x, Vector &v) override;
|
||||
virtual ~ConductionOperator();
|
||||
};
|
||||
|
||||
real_t InitialTemperature(const Vector &x)
|
||||
{
|
||||
if (x.Norml2() < 0.5)
|
||||
{
|
||||
return 2.0;
|
||||
}
|
||||
else
|
||||
{
|
||||
return 1.0;
|
||||
}
|
||||
}
|
||||
|
||||
double InitialTemperature(const Vector &x);
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
@@ -156,16 +114,16 @@ int main(int argc, char *argv[])
|
||||
int par_ref_levels = 1;
|
||||
int order = 2;
|
||||
int ode_solver_type = 9; // CVODE implicit BDF
|
||||
real_t t_final = 0.5;
|
||||
real_t dt = 1.0e-2;
|
||||
real_t alpha = 1.0e-2;
|
||||
real_t kappa = 0.5;
|
||||
double t_final = 0.5;
|
||||
double dt = 1.0e-2;
|
||||
double alpha = 1.0e-2;
|
||||
double kappa = 0.5;
|
||||
bool visualization = true;
|
||||
bool visit = false;
|
||||
int vis_steps = 5;
|
||||
|
||||
// Relative and absolute tolerances for CVODE and ARKODE.
|
||||
const real_t reltol = 1e-4, abstol = 1e-4;
|
||||
const double reltol = 1e-4, abstol = 1e-4;
|
||||
|
||||
int precision = 8;
|
||||
cout.precision(precision);
|
||||
@@ -192,10 +150,7 @@ int main(int argc, char *argv[])
|
||||
"9 - CVODE (implicit BDF),\n\t"
|
||||
"10 - ARKODE (default explicit),\n\t"
|
||||
"11 - ARKODE (explicit Fehlberg-6-4-5),\n\t"
|
||||
"12 - ARKODE (default implicit),\n\t"
|
||||
"13 - ARKODE (default explicit with MFEM mass solve),\n\t"
|
||||
"14 - ARKODE (explicit Fehlberg-6-4-5 with MFEM mass solve),\n\t"
|
||||
"15 - ARKODE (default implicit with MFEM mass solve).");
|
||||
"12 - ARKODE (default impicit).");
|
||||
args.AddOption(&t_final, "-tf", "--t-final",
|
||||
"Final time; start time is 0.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
@@ -219,33 +174,40 @@ int main(int argc, char *argv[])
|
||||
return 1;
|
||||
}
|
||||
|
||||
if (Mpi::Root())
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
bool use_mass_solver = ode_solver_type >= 13;
|
||||
// check for valid ODE solver option
|
||||
if (ode_solver_type < 1 || ode_solver_type > 12)
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
}
|
||||
return 1;
|
||||
}
|
||||
|
||||
// 3. Define a parallel mesh by a partitioning of a serial mesh. Read the
|
||||
// serial mesh from the given mesh file on all processors. We can
|
||||
// 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.
|
||||
std::unique_ptr<ParMesh> pmesh;
|
||||
Mesh *mesh = new Mesh(mesh_file, 1, 1);
|
||||
int dim = mesh->Dimension();
|
||||
|
||||
// 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++)
|
||||
{
|
||||
std::unique_ptr<Mesh> mesh(new Mesh(mesh_file, 1, 1));
|
||||
|
||||
// 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++)
|
||||
{
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
|
||||
// 5. Refine this mesh further in parallel to increase the resolution.
|
||||
// Once the parallel mesh is defined, the serial mesh can be deleted.
|
||||
pmesh = std::make_unique<ParMesh>(MPI_COMM_WORLD, *mesh);
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
|
||||
// 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);
|
||||
delete mesh;
|
||||
for (int lev = 0; lev < par_ref_levels; lev++)
|
||||
{
|
||||
pmesh->UniformRefinement();
|
||||
@@ -253,9 +215,8 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 6. Define the vector finite element space representing the current and the
|
||||
// initial temperature, u_ref.
|
||||
int dim = pmesh->Dimension();
|
||||
H1_FECollection fe_coll(order, dim);
|
||||
ParFiniteElementSpace fespace(pmesh.get(), &fe_coll);
|
||||
ParFiniteElementSpace fespace(pmesh, &fe_coll);
|
||||
|
||||
int fe_size = fespace.GlobalTrueVSize();
|
||||
if (myid == 0)
|
||||
@@ -272,17 +233,8 @@ int main(int argc, char *argv[])
|
||||
Vector u;
|
||||
u_gf.GetTrueDofs(u);
|
||||
|
||||
// 8. Initialize the conduction ODE operator and the visualization.
|
||||
ConductionOperator::Type ode_expression_type;
|
||||
if (use_mass_solver)
|
||||
{
|
||||
ode_expression_type = ConductionOperator::Type::IMPLICIT;
|
||||
}
|
||||
else
|
||||
{
|
||||
ode_expression_type = ConductionOperator::Type::EXPLICIT;
|
||||
}
|
||||
ConductionOperator oper(fespace, alpha, kappa, u, ode_expression_type);
|
||||
// 8. Initialize the conduction operator and the VisIt visualization.
|
||||
ConductionOperator oper(fespace, alpha, kappa, u);
|
||||
|
||||
u_gf.SetFromTrueDofs(u);
|
||||
{
|
||||
@@ -297,7 +249,7 @@ int main(int argc, char *argv[])
|
||||
u_gf.Save(osol);
|
||||
}
|
||||
|
||||
VisItDataCollection visit_dc("Example16-Parallel", pmesh.get());
|
||||
VisItDataCollection visit_dc("Example16-Parallel", pmesh);
|
||||
visit_dc.RegisterField("temperature", &u_gf);
|
||||
if (visit)
|
||||
{
|
||||
@@ -341,76 +293,52 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 9. Define the ODE solver used for time integration.
|
||||
real_t t = 0.0;
|
||||
std::unique_ptr<ODESolver> ode_solver;
|
||||
double t = 0.0;
|
||||
ODESolver *ode_solver = NULL;
|
||||
CVODESolver *cvode = NULL;
|
||||
ARKStepSolver *arkode = NULL;
|
||||
switch (ode_solver_type)
|
||||
{
|
||||
// MFEM explicit methods
|
||||
case 1: ode_solver = std::make_unique<ForwardEulerSolver>(); break;
|
||||
case 2: ode_solver = std::make_unique<RK2Solver>(0.5); break; // midpoint method
|
||||
case 3: ode_solver = std::make_unique<RK3SSPSolver>(); break;
|
||||
case 4: ode_solver = std::make_unique<RK4Solver>(); break;
|
||||
case 1: ode_solver = new ForwardEulerSolver; break;
|
||||
case 2: ode_solver = new RK2Solver(0.5); break; // midpoint method
|
||||
case 3: ode_solver = new RK3SSPSolver; break;
|
||||
case 4: ode_solver = new RK4Solver; break;
|
||||
// MFEM implicit L-stable methods
|
||||
case 5: ode_solver = std::make_unique<BackwardEulerSolver>(); break;
|
||||
case 6: ode_solver = std::make_unique<SDIRK23Solver>(2); break;
|
||||
case 7: ode_solver = std::make_unique<SDIRK33Solver>(); break;
|
||||
case 5: ode_solver = new BackwardEulerSolver; break;
|
||||
case 6: ode_solver = new SDIRK23Solver(2); break;
|
||||
case 7: ode_solver = new SDIRK33Solver; break;
|
||||
// CVODE
|
||||
case 8:
|
||||
case 9:
|
||||
{
|
||||
int cvode_solver_type;
|
||||
if (ode_solver_type == 8)
|
||||
{
|
||||
cvode_solver_type = CV_ADAMS;
|
||||
}
|
||||
else
|
||||
{
|
||||
cvode_solver_type = CV_BDF;
|
||||
}
|
||||
std::unique_ptr<CVODESolver> cvode(
|
||||
new CVODESolver(MPI_COMM_WORLD, cvode_solver_type));
|
||||
cvode = new CVODESolver(MPI_COMM_WORLD, CV_ADAMS);
|
||||
cvode->Init(oper);
|
||||
cvode->SetSStolerances(reltol, abstol);
|
||||
cvode->SetMaxStep(dt);
|
||||
ode_solver = std::move(cvode);
|
||||
break;
|
||||
}
|
||||
ode_solver = cvode; break;
|
||||
case 9:
|
||||
cvode = new CVODESolver(MPI_COMM_WORLD, CV_BDF);
|
||||
cvode->Init(oper);
|
||||
cvode->SetSStolerances(reltol, abstol);
|
||||
cvode->SetMaxStep(dt);
|
||||
ode_solver = cvode; break;
|
||||
// ARKODE
|
||||
case 10:
|
||||
case 11:
|
||||
case 12:
|
||||
case 13:
|
||||
case 14:
|
||||
case 15:
|
||||
{
|
||||
ARKStepSolver::Type arkode_solver_type;
|
||||
if (ode_solver_type == 12 || ode_solver_type == 15)
|
||||
{
|
||||
arkode_solver_type = ARKStepSolver::IMPLICIT;
|
||||
}
|
||||
else
|
||||
{
|
||||
arkode_solver_type = ARKStepSolver::EXPLICIT;
|
||||
}
|
||||
std::unique_ptr<ARKStepSolver> arkode(
|
||||
new ARKStepSolver(MPI_COMM_WORLD, arkode_solver_type));
|
||||
arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::EXPLICIT);
|
||||
arkode->Init(oper);
|
||||
arkode->SetSStolerances(reltol, abstol);
|
||||
arkode->SetMaxStep(dt);
|
||||
if (ode_solver_type == 11 || ode_solver_type == 14)
|
||||
if (ode_solver_type == 11)
|
||||
{
|
||||
arkode->SetERKTableNum(ARKODE_FEHLBERG_13_7_8);
|
||||
}
|
||||
if (use_mass_solver)
|
||||
{
|
||||
arkode->UseMFEMMassLinearSolver(SUNFALSE);
|
||||
}
|
||||
ode_solver = std::move(arkode);
|
||||
break;
|
||||
}
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
return 3;
|
||||
ode_solver = arkode; break;
|
||||
case 12:
|
||||
arkode = new ARKStepSolver(MPI_COMM_WORLD, ARKStepSolver::IMPLICIT);
|
||||
arkode->Init(oper);
|
||||
arkode->SetSStolerances(reltol, abstol);
|
||||
arkode->SetMaxStep(dt);
|
||||
ode_solver = arkode; break;
|
||||
}
|
||||
|
||||
// Initialize MFEM integrators, SUNDIALS integrators are initialized above
|
||||
@@ -418,18 +346,12 @@ int main(int argc, char *argv[])
|
||||
|
||||
// Since we want to update the diffusion coefficient after every time step,
|
||||
// we need to use the "one-step" mode of the SUNDIALS solvers.
|
||||
if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
|
||||
{
|
||||
cvode->SetStepMode(CV_ONE_STEP);
|
||||
}
|
||||
else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
|
||||
{
|
||||
arkode->SetStepMode(ARK_ONE_STEP);
|
||||
}
|
||||
if (cvode) { cvode->SetStepMode(CV_ONE_STEP); }
|
||||
if (arkode) { arkode->SetStepMode(ARK_ONE_STEP); }
|
||||
|
||||
// 10. Perform time-integration (looping over the time iterations, ti, with a
|
||||
// time-step dt).
|
||||
if (Mpi::Root())
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Integrating the ODE ..." << endl;
|
||||
}
|
||||
@@ -439,7 +361,7 @@ int main(int argc, char *argv[])
|
||||
bool last_step = false;
|
||||
for (int ti = 1; !last_step; ti++)
|
||||
{
|
||||
real_t dt_real = min(dt, t_final - t);
|
||||
double dt_real = min(dt, t_final - t);
|
||||
|
||||
// Note that since we are using the "one-step" mode of the SUNDIALS
|
||||
// solvers, they will, generally, step over the final time and will not
|
||||
@@ -455,14 +377,8 @@ int main(int argc, char *argv[])
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "step " << ti << ", t = " << t << endl;
|
||||
if (CVODESolver* cvode = dynamic_cast<CVODESolver*>(ode_solver.get()))
|
||||
{
|
||||
cvode->PrintInfo();
|
||||
}
|
||||
else if (ARKStepSolver* arkode = dynamic_cast<ARKStepSolver*>(ode_solver.get()))
|
||||
{
|
||||
arkode->PrintInfo();
|
||||
}
|
||||
if (cvode) { cvode->PrintInfo(); }
|
||||
if (arkode) { arkode->PrintInfo(); }
|
||||
}
|
||||
|
||||
u_gf.SetFromTrueDofs(u);
|
||||
@@ -479,38 +395,46 @@ int main(int argc, char *argv[])
|
||||
visit_dc.Save();
|
||||
}
|
||||
}
|
||||
oper.SetConductionTensor(u);
|
||||
oper.SetParameters(u);
|
||||
}
|
||||
tic_toc.Stop();
|
||||
if (Mpi::Root())
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Done, " << tic_toc.RealTime() << "s." << endl;
|
||||
}
|
||||
|
||||
// 11. Save the final solution in parallel. This output can be viewed later
|
||||
// using GLVis: "glvis -np <np> -m ex16-mesh -g ex16-final".
|
||||
u_gf.Save("ex16-final", precision);
|
||||
{
|
||||
ostringstream sol_name;
|
||||
sol_name << "ex16-final." << setfill('0') << setw(6) << myid;
|
||||
ofstream osol(sol_name.str().c_str());
|
||||
osol.precision(precision);
|
||||
u_gf.Save(osol);
|
||||
}
|
||||
|
||||
// 12. Free the used memory.
|
||||
delete ode_solver;
|
||||
delete pmesh;
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
ConductionOperator::ConductionOperator(ParFiniteElementSpace &fes,
|
||||
const real_t alpha, const real_t kappa,
|
||||
const Vector &u,
|
||||
const Type &ode_expression_type)
|
||||
: TimeDependentOperator(fes.GetTrueVSize(), 0.0, ode_expression_type),
|
||||
fespace(fes), M(&fespace), alpha(alpha), kappa(kappa),
|
||||
M_solver(fes.GetComm()), T_solver(fes.GetComm()), z(height)
|
||||
ConductionOperator::ConductionOperator(ParFiniteElementSpace &f, double al,
|
||||
double kap, const Vector &u)
|
||||
: TimeDependentOperator(f.GetTrueVSize(), 0.0), fespace(f), M(NULL), K(NULL),
|
||||
T(NULL),
|
||||
M_solver(f.GetComm()), T_solver(f.GetComm()), z(height)
|
||||
{
|
||||
// specify a relative tolerance for all solves with MFEM integrators
|
||||
const real_t rel_tol = 1e-8;
|
||||
const double rel_tol = 1e-8;
|
||||
|
||||
M.AddDomainIntegrator(new MassIntegrator());
|
||||
M.Assemble(0); // keep zeros to keep sparsity pattern of M and K the same
|
||||
M.FormSystemMatrix(ess_tdof_list, Mmat);
|
||||
M = new ParBilinearForm(&fespace);
|
||||
M->AddDomainIntegrator(new MassIntegrator());
|
||||
M->Assemble(0); // keep sparsity pattern of M and K the same
|
||||
M->FormSystemMatrix(ess_tdof_list, Mmat);
|
||||
|
||||
M_solver.iterative_mode = false;
|
||||
M_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
|
||||
M_solver.SetRelTol(rel_tol);
|
||||
M_solver.SetAbsTol(0.0);
|
||||
M_solver.SetMaxIter(100);
|
||||
M_solver.SetPrintLevel(0);
|
||||
@@ -518,118 +442,97 @@ ConductionOperator::ConductionOperator(ParFiniteElementSpace &fes,
|
||||
M_solver.SetPreconditioner(M_prec);
|
||||
M_solver.SetOperator(Mmat);
|
||||
|
||||
alpha = al;
|
||||
kappa = kap;
|
||||
|
||||
T_solver.iterative_mode = false;
|
||||
T_solver.SetRelTol(rel_tol); // will be overwritten with SUNDIALS integrators
|
||||
T_solver.SetRelTol(rel_tol);
|
||||
T_solver.SetAbsTol(0.0);
|
||||
T_solver.SetMaxIter(100);
|
||||
T_solver.SetPrintLevel(0);
|
||||
T_solver.SetPreconditioner(T_prec);
|
||||
|
||||
SetConductionTensor(u);
|
||||
SetParameters(u);
|
||||
}
|
||||
|
||||
void ConductionOperator::SetConductionTensor(const Vector &u)
|
||||
void ConductionOperator::Mult(const Vector &u, Vector &du_dt) const
|
||||
{
|
||||
// Compute:
|
||||
// du_dt = M^{-1}*-K(u)
|
||||
// for du_dt
|
||||
Kmat.Mult(u, z);
|
||||
z.Neg(); // z = -z
|
||||
M_solver.Mult(z, du_dt);
|
||||
}
|
||||
|
||||
void ConductionOperator::ImplicitSolve(const double dt,
|
||||
const Vector &u, Vector &du_dt)
|
||||
{
|
||||
// Solve the equation:
|
||||
// du_dt = M^{-1}*[-K(u + dt*du_dt)]
|
||||
// for du_dt
|
||||
if (T) { delete T; }
|
||||
T = Add(1.0, Mmat, dt, Kmat);
|
||||
T_solver.SetOperator(*T);
|
||||
Kmat.Mult(u, z);
|
||||
z.Neg();
|
||||
T_solver.Mult(z, du_dt);
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSetup(const Vector &x,
|
||||
const Vector &fx, int jok, int *jcur,
|
||||
double gamma)
|
||||
{
|
||||
// Setup the ODE Jacobian T = M + gamma K.
|
||||
if (T) { delete T; }
|
||||
T = Add(1.0, Mmat, gamma, Kmat);
|
||||
T_solver.SetOperator(*T);
|
||||
*jcur = 1;
|
||||
return (0);
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSolve(const Vector &b, Vector &x, double tol)
|
||||
{
|
||||
// Solve the system A x = z => (M - gamma K) x = M b.
|
||||
Mmat.Mult(b, z);
|
||||
T_solver.Mult(z, x);
|
||||
return (0);
|
||||
}
|
||||
|
||||
void ConductionOperator::SetParameters(const Vector &u)
|
||||
{
|
||||
// Compute K(u_n).
|
||||
ParGridFunction u_alpha_gf(&fespace);
|
||||
u_alpha_gf.SetFromTrueDofs(u);
|
||||
for (int i = 0; i < u_alpha_gf.Size(); i++)
|
||||
{
|
||||
u_alpha_gf(i) = kappa + alpha*u_alpha_gf(i);
|
||||
}
|
||||
|
||||
delete K;
|
||||
K = new ParBilinearForm(&fespace);
|
||||
|
||||
GridFunctionCoefficient u_coeff(&u_alpha_gf);
|
||||
|
||||
K = std::make_unique<ParBilinearForm>(&fespace);
|
||||
K->AddDomainIntegrator(new DiffusionIntegrator(u_coeff));
|
||||
K->Assemble(0); // keep zeros to keep sparsity pattern of M and K the same
|
||||
K->Assemble(0); // keep sparsity pattern of M and K the same
|
||||
K->FormSystemMatrix(ess_tdof_list, Kmat);
|
||||
}
|
||||
|
||||
void ConductionOperator::ExplicitMult(const Vector &u, Vector &v) const
|
||||
ConductionOperator::~ConductionOperator()
|
||||
{
|
||||
// Compute - K(u_n) u.
|
||||
Kmat.Mult(u, v);
|
||||
v.Neg();
|
||||
delete T;
|
||||
delete M;
|
||||
delete K;
|
||||
}
|
||||
|
||||
void ConductionOperator::Mult(const Vector &u, Vector &k) const
|
||||
double InitialTemperature(const Vector &x)
|
||||
{
|
||||
// Compute - inv(M) K(u_n) u.
|
||||
ExplicitMult(u, z);
|
||||
M_solver.Mult(z, k);
|
||||
}
|
||||
|
||||
void ConductionOperator::ImplicitSolve(const real_t gam, const Vector &u,
|
||||
Vector &k)
|
||||
{
|
||||
// Solve for k in M k = - K(u_n) [u + gam*k].
|
||||
ExplicitMult(u, z);
|
||||
T = std::unique_ptr<HypreParMatrix>(Add(1.0, Mmat, gam, Kmat));
|
||||
T_solver.SetOperator(*T);
|
||||
T_solver.Mult(z, k);
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSetup(const Vector &u, const Vector &fu,
|
||||
int jok, int *jcur, real_t gam)
|
||||
{
|
||||
// Compute T = M + gamma K(u_n).
|
||||
T = std::unique_ptr<HypreParMatrix>(Add(1.0, Mmat, gam, Kmat));
|
||||
T_solver.SetOperator(*T);
|
||||
*jcur = SUNTRUE; // this should eventually only be set true if K(u) is used
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNImplicitSolve(const Vector &r, Vector &dk,
|
||||
real_t tol)
|
||||
{
|
||||
// Solve the system [M + gamma K(u_n)] dk = - K(u_n) u - M k.
|
||||
// What value r is providing depends on the ODE expression form:
|
||||
// EXPLICIT form: r = -inv(M) K(u_n) u - k
|
||||
// IMPLICIT form: r = -K(u_n) u - M k
|
||||
T_solver.SetRelTol(tol);
|
||||
if (isExplicit())
|
||||
if (x.Norml2() < 0.5)
|
||||
{
|
||||
Mmat.Mult(r, z);
|
||||
T_solver.Mult(z, dk);
|
||||
return 2.0;
|
||||
}
|
||||
else
|
||||
{
|
||||
T_solver.Mult(r, dk);
|
||||
}
|
||||
if (T_solver.GetConverged())
|
||||
{
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
else
|
||||
{
|
||||
return SUNLS_CONV_FAIL;
|
||||
return 1.0;
|
||||
}
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassSetup()
|
||||
{
|
||||
// Do nothing b/c mass solver was setup in constructor.
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassSolve(const Vector &b, Vector &x, real_t tol)
|
||||
{
|
||||
// Solve the system M x = b.
|
||||
M_solver.SetRelTol(tol);
|
||||
M_solver.Mult(b, x);
|
||||
if (M_solver.GetConverged())
|
||||
{
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
else
|
||||
{
|
||||
return SUNLS_CONV_FAIL;
|
||||
}
|
||||
}
|
||||
|
||||
int ConductionOperator::SUNMassMult(const Vector &x, Vector &v)
|
||||
{
|
||||
// Compute M x.
|
||||
Mmat.Mult(x, v);
|
||||
return SUN_SUCCESS;
|
||||
}
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user