375 lines
13 KiB
C++
375 lines
13 KiB
C++
// Copyright (c) 2010-2020, Lawrence Livermore National Security, LLC. Produced
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// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
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// LICENSE and NOTICE for details. LLNL-CODE-806117.
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//
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// This file is part of the MFEM library. For more information and source code
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// availability visit https://mfem.org.
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//
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// MFEM is free software; you can redistribute it and/or modify it under the
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// terms of the BSD-3 license. We welcome feedback and contributions, see file
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// CONTRIBUTING.md for details.
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#include "../config/config.hpp"
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#ifdef MFEM_USE_MPI
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#include "restriction.hpp"
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#include "prestriction.hpp"
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#include "pgridfunc.hpp"
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#include "pfespace.hpp"
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#include "fespace.hpp"
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#include "../general/forall.hpp"
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namespace mfem
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{
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ParL2FaceRestriction::ParL2FaceRestriction(const ParFiniteElementSpace &fes,
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ElementDofOrdering e_ordering,
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FaceType type,
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L2FaceValues m)
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: fes(fes),
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nf(fes.GetNFbyType(type)),
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vdim(fes.GetVDim()),
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byvdim(fes.GetOrdering() == Ordering::byVDIM),
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ndofs(fes.GetNDofs()),
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dof(nf>0 ?
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fes.GetTraceElement(0, fes.GetMesh()->GetFaceBaseGeometry(0))->GetDof()
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: 0),
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m(m),
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nfdofs(nf*dof),
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scatter_indices1(nf*dof),
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scatter_indices2(m==L2FaceValues::DoubleValued?nf*dof:0),
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offsets(ndofs+1),
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gather_indices((m==L2FaceValues::DoubleValued? 2 : 1)*nf*dof)
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{
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if (nf==0) { return; }
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// If fespace == L2
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const FiniteElement *fe = fes.GetFE(0);
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const TensorBasisElement *tfe = dynamic_cast<const TensorBasisElement*>(fe);
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MFEM_VERIFY(tfe != NULL &&
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(tfe->GetBasisType()==BasisType::GaussLobatto ||
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tfe->GetBasisType()==BasisType::Positive),
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"Only Gauss-Lobatto and Bernstein basis are supported in "
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"ParL2FaceRestriction.");
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MFEM_VERIFY(fes.GetMesh()->Conforming(),
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"Non-conforming meshes not yet supported with partial assembly.");
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// Assuming all finite elements are using Gauss-Lobatto dofs
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height = (m==L2FaceValues::DoubleValued? 2 : 1)*vdim*nf*dof;
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width = fes.GetVSize();
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const bool dof_reorder = (e_ordering == ElementDofOrdering::LEXICOGRAPHIC);
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if (!dof_reorder)
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{
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mfem_error("Non-Tensor L2FaceRestriction not yet implemented.");
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}
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if (dof_reorder && nf > 0)
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{
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for (int f = 0; f < fes.GetNF(); ++f)
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{
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const FiniteElement *fe =
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fes.GetTraceElement(f, fes.GetMesh()->GetFaceBaseGeometry(f));
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const TensorBasisElement* el =
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dynamic_cast<const TensorBasisElement*>(fe);
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if (el) { continue; }
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mfem_error("Finite element not suitable for lexicographic ordering");
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}
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}
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const Table& e2dTable = fes.GetElementToDofTable();
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const int* elementMap = e2dTable.GetJ();
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Array<int> faceMap1(dof), faceMap2(dof);
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int e1, e2;
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int inf1, inf2;
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int face_id1, face_id2;
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int orientation;
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const int dof1d = fes.GetFE(0)->GetOrder()+1;
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const int elem_dofs = fes.GetFE(0)->GetDof();
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const int dim = fes.GetMesh()->SpaceDimension();
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// Computation of scatter indices
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int f_ind=0;
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for (int f = 0; f < fes.GetNF(); ++f)
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{
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fes.GetMesh()->GetFaceElements(f, &e1, &e2);
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fes.GetMesh()->GetFaceInfos(f, &inf1, &inf2);
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if (dof_reorder)
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{
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orientation = inf1 % 64;
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face_id1 = inf1 / 64;
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GetFaceDofs(dim, face_id1, dof1d, faceMap1); // only for hex
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orientation = inf2 % 64;
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face_id2 = inf2 / 64;
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GetFaceDofs(dim, face_id2, dof1d, faceMap2); // only for hex
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}
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else
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{
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mfem_error("FaceRestriction not yet implemented for this type of "
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"element.");
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// TODO Something with GetFaceDofs?
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orientation = 0; // suppress compiler warning
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face_id1 = face_id2 = 0; // suppress compiler warning
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}
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if (type==FaceType::Interior &&
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(e2>=0 || (e2<0 && inf2>=0) )) // interior/shared face
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{
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for (int d = 0; d < dof; ++d)
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{
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const int face_dof = faceMap1[d];
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const int did = face_dof;
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const int gid = elementMap[e1*elem_dofs + did];
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const int lid = dof*f_ind + d;
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scatter_indices1[lid] = gid;
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}
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if (m==L2FaceValues::DoubleValued)
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{
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if (e2>=0) // interior face
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{
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for (int d = 0; d < dof; ++d)
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{
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const int pd = PermuteFaceL2(dim, face_id1, face_id2,
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orientation, dof1d, d);
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const int face_dof = faceMap2[pd];
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const int did = face_dof;
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const int gid = elementMap[e2*elem_dofs + did];
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const int lid = dof*f_ind + d;
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scatter_indices2[lid] = gid;
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}
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}
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else if (inf2>=0) // shared boundary
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{
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const int se2 = -1 - e2;
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Array<int> sharedDofs;
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fes.GetFaceNbrElementVDofs(se2, sharedDofs);
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for (int d = 0; d < dof; ++d)
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{
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const int pd = PermuteFaceL2(dim, face_id1, face_id2,
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orientation, dof1d, d);
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const int face_dof = faceMap2[pd];
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const int did = face_dof;
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const int gid = sharedDofs[did];
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const int lid = dof*f_ind + d;
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// Trick to differentiate dof location inter/shared
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scatter_indices2[lid] = ndofs+gid;
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}
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}
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}
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f_ind++;
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}
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else if (type==FaceType::Boundary && e2<0 && inf2<0) // true boundary
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{
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for (int d = 0; d < dof; ++d)
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{
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const int face_dof = faceMap1[d];
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const int did = face_dof;
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const int gid = elementMap[e1*elem_dofs + did];
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const int lid = dof*f_ind + d;
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scatter_indices1[lid] = gid;
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}
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if (m==L2FaceValues::DoubleValued)
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{
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for (int d = 0; d < dof; ++d)
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{
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const int lid = dof*f_ind + d;
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scatter_indices2[lid] = -1;
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}
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}
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f_ind++;
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}
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}
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MFEM_VERIFY(f_ind==nf, "Unexpected number of faces.");
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// Computation of gather_indices
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for (int i = 0; i <= ndofs; ++i)
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{
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offsets[i] = 0;
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}
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f_ind = 0;
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for (int f = 0; f < fes.GetNF(); ++f)
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{
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fes.GetMesh()->GetFaceElements(f, &e1, &e2);
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fes.GetMesh()->GetFaceInfos(f, &inf1, &inf2);
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if ((type==FaceType::Interior && (e2>=0 || (e2<0 && inf2>=0))) ||
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(type==FaceType::Boundary && e2<0 && inf2<0) )
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{
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orientation = inf1 % 64;
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face_id1 = inf1 / 64;
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GetFaceDofs(dim, face_id1, dof1d, faceMap1);
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orientation = inf2 % 64;
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face_id2 = inf2 / 64;
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GetFaceDofs(dim, face_id2, dof1d, faceMap2);
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for (int d = 0; d < dof; ++d)
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{
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const int did = faceMap1[d];
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const int gid = elementMap[e1*elem_dofs + did];
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++offsets[gid + 1];
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}
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if (m==L2FaceValues::DoubleValued)
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{
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for (int d = 0; d < dof; ++d)
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{
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if (type==FaceType::Interior && e2>=0) // interior face
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{
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const int pd = PermuteFaceL2(dim, face_id1, face_id2,
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orientation, dof1d, d);
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const int did = faceMap2[pd];
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const int gid = elementMap[e2*elem_dofs + did];
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++offsets[gid + 1];
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}
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}
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}
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f_ind++;
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}
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}
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MFEM_VERIFY(f_ind==nf, "Unexpected number of faces.");
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for (int i = 1; i <= ndofs; ++i)
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{
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offsets[i] += offsets[i - 1];
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}
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f_ind = 0;
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for (int f = 0; f < fes.GetNF(); ++f)
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{
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fes.GetMesh()->GetFaceElements(f, &e1, &e2);
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fes.GetMesh()->GetFaceInfos(f, &inf1, &inf2);
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if ((type==FaceType::Interior && (e2>=0 || (e2<0 && inf2>=0))) ||
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(type==FaceType::Boundary && e2<0 && inf2<0) )
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{
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orientation = inf1 % 64;
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face_id1 = inf1 / 64;
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GetFaceDofs(dim, face_id1, dof1d, faceMap1);
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orientation = inf2 % 64;
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face_id2 = inf2 / 64;
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GetFaceDofs(dim, face_id2, dof1d, faceMap2);
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for (int d = 0; d < dof; ++d)
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{
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const int did = faceMap1[d];
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const int gid = elementMap[e1*elem_dofs + did];
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const int lid = dof*f_ind + d;
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// We don't shift lid to express that it's e1 of f
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gather_indices[offsets[gid]++] = lid;
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}
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if (m==L2FaceValues::DoubleValued)
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{
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for (int d = 0; d < dof; ++d)
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{
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if (type==FaceType::Interior && e2>=0) // interior face
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{
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const int pd = PermuteFaceL2(dim, face_id1, face_id2,
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orientation, dof1d, d);
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const int did = faceMap2[pd];
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const int gid = elementMap[e2*elem_dofs + did];
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const int lid = dof*f_ind + d;
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// We shift lid to express that it's e2 of f
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gather_indices[offsets[gid]++] = nfdofs + lid;
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}
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}
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}
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f_ind++;
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}
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}
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MFEM_VERIFY(f_ind==nf, "Unexpected number of faces.");
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for (int i = ndofs; i > 0; --i)
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{
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offsets[i] = offsets[i - 1];
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}
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offsets[0] = 0;
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}
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void ParL2FaceRestriction::Mult(const Vector& x, Vector& y) const
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{
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ParGridFunction x_gf;
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x_gf.MakeRef(const_cast<ParFiniteElementSpace*>(&fes),
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const_cast<Vector&>(x), 0);
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x_gf.ExchangeFaceNbrData();
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// Assumes all elements have the same number of dofs
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const int nd = dof;
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const int vd = vdim;
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const bool t = byvdim;
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const int threshold = ndofs;
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if (m==L2FaceValues::DoubleValued)
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{
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auto d_indices1 = scatter_indices1.Read();
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auto d_indices2 = scatter_indices2.Read();
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auto d_x = Reshape(x.Read(), t?vd:ndofs, t?ndofs:vd);
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auto d_x_shared = Reshape(x_gf.FaceNbrData().Read(),
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t?vd:ndofs, t?ndofs:vd);
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auto d_y = Reshape(y.Write(), nd, vd, 2, nf);
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MFEM_FORALL(i, nfdofs,
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{
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const int dof = i % nd;
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const int face = i / nd;
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const int idx1 = d_indices1[i];
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for (int c = 0; c < vd; ++c)
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{
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d_y(dof, c, 0, face) = d_x(t?c:idx1, t?idx1:c);
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}
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const int idx2 = d_indices2[i];
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for (int c = 0; c < vd; ++c)
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{
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if (idx2>-1 && idx2<threshold) // interior face
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{
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d_y(dof, c, 1, face) = d_x(t?c:idx2, t?idx2:c);
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}
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else if (idx2>=threshold) // shared boundary
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{
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d_y(dof, c, 1, face) = d_x_shared(t?c:(idx2-threshold),
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t?(idx2-threshold):c);
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}
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else // true boundary
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{
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d_y(dof, c, 1, face) = 0.0;
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}
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}
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});
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}
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else
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{
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auto d_indices1 = scatter_indices1.Read();
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auto d_x = Reshape(x.Read(), t?vd:ndofs, t?ndofs:vd);
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auto d_y = Reshape(y.Write(), nd, vd, nf);
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MFEM_FORALL(i, nfdofs,
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{
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const int dof = i % nd;
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const int face = i / nd;
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const int idx1 = d_indices1[i];
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for (int c = 0; c < vd; ++c)
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{
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d_y(dof, c, face) = d_x(t?c:idx1, t?idx1:c);
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}
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});
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}
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}
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void ParL2FaceRestriction::MultTranspose(const Vector& x, Vector& y) const
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{
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// Assumes all elements have the same number of dofs
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const int nd = dof;
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const int vd = vdim;
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const bool t = byvdim;
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const int dofs = nfdofs;
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auto d_offsets = offsets.Read();
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auto d_indices = gather_indices.Read();
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auto d_x = Reshape(x.Read(), nd, vd, 2, nf);
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auto d_y = Reshape(y.Write(), t?vd:ndofs, t?ndofs:vd);
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MFEM_FORALL(i, ndofs,
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{
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const int offset = d_offsets[i];
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const int nextOffset = d_offsets[i + 1];
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for (int c = 0; c < vd; ++c)
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{
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double dofValue = 0;
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for (int j = offset; j < nextOffset; ++j)
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{
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int idx_j = d_indices[j];
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bool isE1 = idx_j < dofs;
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idx_j = isE1 ? idx_j : idx_j - dofs;
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dofValue += isE1 ?
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d_x(idx_j % nd, c, 0, idx_j / nd)
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:d_x(idx_j % nd, c, 1, idx_j / nd);
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}
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d_y(t?c:i,t?i:c) += dofValue;
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}
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});
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}
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} // namespace mfem
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#endif
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