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Commit f1724e2f authored by Thomas Witkowski's avatar Thomas Witkowski
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Before merging SubDomainSolver and PetscSolver together.

parent 5671aaf5
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Showing with 437 additions and 333 deletions
AMDiS/src/parallel/PetscProblemStat.cc
View file @ f1724e2f
......@@ -87,7 +87,10 @@ namespace AMDiS {
double wtime = MPI::Wtime();
if (createMatrixData) {
petscSolver->setMeshDistributor(meshDistributor);
petscSolver->setMeshDistributor(meshDistributor,
meshDistributor->getMpiComm(),
PETSC_COMM_SELF);
petscSolver->setDofMapping(&(meshDistributor->getDofMap()));
petscSolver->fillPetscMatrix(systemMatrix);
}
......
AMDiS/src/parallel/PetscSolver.cc
View file @ f1724e2f
......@@ -10,17 +10,21 @@
// See also license.opensource.txt in the distribution.
#include "AMDiS.h"
#include "parallel/PetscSolver.h"
#include "parallel/StdMpi.h"
#include "parallel/MpiHelper.h"
namespace AMDiS {
using namespace std;
PetscSolver::PetscSolver()
: meshDistributor(NULL),
dofMap(NULL),
: meshDistributor(NULL),
subdomainLevel(0),
interiorMap(NULL),
coarseSpaceMap(NULL),
mpiRank(-1),
kspPrefix(""),
removeRhsNullSpace(false)
......@@ -34,42 +38,65 @@ namespace AMDiS {
}
void PetscSolver::printSolutionInfo(AdaptInfo *adaptInfo,
bool iterationCounter,
bool residual)
void PetscSolver::setDofMapping(ParallelDofMapping *interiorDofs,
ParallelDofMapping *coarseDofs)
{
FUNCNAME("PetscSolver::printSolutionInfo()");
interiorMap = interiorDofs;
coarseSpaceMap = coarseDofs;
if (mpiCommLocal.Get_size() == 1) {
rStartInterior = 0;
nGlobalOverallInterior = interiorMap->getOverallDofs();
} else {
int groupRowsInterior = 0;
if (mpiCommLocal.Get_rank() == 0)
groupRowsInterior = interiorMap->getOverallDofs();
mpi::getDofNumbering(mpiCommGlobal, groupRowsInterior,
rStartInterior, nGlobalOverallInterior);
if (iterationCounter) {
int iterations = 0;
KSPGetIterationNumber(solver, &iterations);
MSG(" Number of iterations: %d\n", iterations);
adaptInfo->setSolverIterations(iterations);
int tmp = 0;
if (mpiCommLocal.Get_rank() == 0)
tmp = rStartInterior;
mpiCommLocal.Allreduce(&tmp, &rStartInterior, 1, MPI_INT, MPI_SUM);
}
}
void PetscSolver::solve(Vec &rhs, Vec &sol)
{
FUNCNAME("PetscSolver::solve()");
if (residual) {
double norm = 0.0;
MatMult(petscMatrix, petscSolVec, petscTmpVec);
VecAXPY(petscTmpVec, -1.0, petscRhsVec);
VecNorm(petscTmpVec, NORM_2, &norm);
MSG(" Residual norm: %e\n", norm);
PetscErrorCode solverError = KSPSolve(kspInterior, rhs, sol);
if (solverError != 0) {
AMDiS::finalize();
exit(-1);
}
}
void PetscSolver::solveGlobal(Vec &rhs, Vec &sol)
{
FUNCNAME("PetscSolver::solveGlobal()");
ERROR_EXIT("Not implemented!\n");
}
void PetscSolver::copyVec(Vec& originVec, Vec& destVec,
vector<int>& originIndex, vector<int>& destIndex)
{
FUNCNAME("PetscSolver::copyVec()");
IS originIs, destIs;
ISCreateGeneral(mpiComm,
ISCreateGeneral(mpiCommGlobal,
originIndex.size(),
&(originIndex[0]),
PETSC_USE_POINTER,
&originIs);
ISCreateGeneral(mpiComm,
ISCreateGeneral(mpiCommGlobal,
destIndex.size(),
&(destIndex[0]),
PETSC_USE_POINTER,
......
AMDiS/src/parallel/PetscSolver.h
View file @ f1724e2f
......@@ -50,15 +50,24 @@ namespace AMDiS {
virtual ~PetscSolver() {}
void setMeshDistributor(MeshDistributor *m)
void setMeshDistributor(MeshDistributor *m,
MPI::Intracomm mpiComm0,
MPI::Intracomm mpiComm1)
{
meshDistributor = m;
dofMap = &(meshDistributor->getDofMap());
mpiRank = meshDistributor->getMpiRank();
mpiComm = meshDistributor->getMpiComm();
mpiSelfComm = PETSC_COMM_SELF;
mpiCommGlobal = mpiComm0;
mpiCommLocal = mpiComm1;
mpiRank = mpiCommGlobal.Get_rank();
}
void setLevel(int l)
{
subdomainLevel = l;
}
void setDofMapping(ParallelDofMapping *interiorDofs,
ParallelDofMapping *coarseDofs = NULL);
/** \brief
* Create a PETSc matrix. The given DOF matrices are used to create the nnz
* structure of the PETSc matrix and the values are transfered to it.
......@@ -77,6 +86,10 @@ namespace AMDiS {
/// Use PETSc to solve the linear system of equations
virtual void solvePetscMatrix(SystemVector &vec, AdaptInfo *adaptInfo) = 0;
virtual void solve(Vec &rhs, Vec &sol);
virtual void solveGlobal(Vec &rhs, Vec &sol);
/// Destroys all matrix data structures.
virtual void destroyMatrixData() = 0;
......@@ -90,12 +103,12 @@ namespace AMDiS {
KSP getSolver()
{
return solver;
return kspInterior;
}
PC getPc()
{
return pc;
return pcInterior;
}
void setKspPrefix(std::string s)
......@@ -108,11 +121,63 @@ namespace AMDiS {
removeRhsNullSpace = b;
}
protected:
void printSolutionInfo(AdaptInfo* adaptInfo,
bool iterationCounter = true,
bool residual = true);
inline bool isCoarseSpace(const FiniteElemSpace *feSpace,
DegreeOfFreedom dof)
{
FUNCNAME("SubDomainSolver::isCoarseSpace()");
TEST_EXIT_DBG(coarseSpaceMap)
("Subdomain solver does not contain a coarse space!\n");
return (*coarseSpaceMap)[feSpace].isSet(dof);
}
inline Vec& getRhsCoarseSpace()
{
FUNCNAME("SubDomainSolver::getRhsCoarseSpace()");
TEST_EXIT_DBG(coarseSpaceMap)
("Subdomain solver does not contain a coarse space!\n");
return rhsCoarseSpace;
}
inline Vec& getRhsInterior()
{
return rhsInterior;
}
inline Mat& getMatIntInt()
{
return matIntInt;
}
inline Mat& getMatCoarseCoarse()
{
FUNCNAME("SubDomainSolver::getMatCoarseCoarse()");
TEST_EXIT_DBG(coarseSpaceMap)
("Subdomain solver does not contain a coarse space!\n");
return matCoarseCoarse;
}
inline Mat& getMatIntCoarse()
{
FUNCNAME("SubDomainSolver::getMatIntCoarse()");
TEST_EXIT_DBG(coarseSpaceMap)
("Subdomain solver does not contain a coarse space!\n");
return matIntCoarse;
}
inline Mat& getMatCoarseInt()
{
FUNCNAME("SubDomainSolver::getMatCoarseInt()");
TEST_EXIT_DBG(coarseSpaceMap)
("Subdomain solver does not contain a coarse space!\n");
return matCoarseInt;
}
protected:
/** \brief
* Copies between to PETSc vectors by using different index sets for the
* origin and the destination vectors.
......@@ -140,26 +205,36 @@ namespace AMDiS {
protected:
MeshDistributor *meshDistributor;
ParallelDofMapping *dofMap;
int subdomainLevel;
int rStartInterior;
int nGlobalOverallInterior;
ParallelDofMapping *interiorMap;
ParallelDofMapping* coarseSpaceMap;
int mpiRank;
MPI::Intracomm mpiComm;
MPI::Intracomm mpiCommGlobal;
MPI::Intracomm mpiSelfComm;
MPI::Intracomm mpiCommLocal;
/// Petsc's matrix structure.
Mat petscMatrix;
Mat matIntInt, matCoarseCoarse, matIntCoarse, matCoarseInt;
/// PETSc's vector structures for the rhs vector, the solution vector and a
/// temporary vector for calculating the final residuum.
Vec petscRhsVec, petscSolVec, petscTmpVec;
Vec rhsInterior;
Vec rhsCoarseSpace;
/// PETSc solver object
KSP solver;
KSP kspInterior;
/// PETSc preconditioner object
PC pc;
PC pcInterior;
/// KSP database prefix
string kspPrefix;
......
AMDiS/src/parallel/PetscSolverFeti.cc
View file @ f1724e2f
......@@ -233,14 +233,15 @@ namespace AMDiS {
MeshLevelData& levelData = meshDistributor->getMeshLevelData();
if (subDomainSolver == NULL) {
subDomainSolver = new SubDomainSolver();
if (meshLevel == 0) {
subDomainSolver =
new SubDomainSolver(meshDistributor, mpiComm, mpiSelfComm);
subDomainSolver->setMeshDistributor(meshDistributor,
mpiCommGlobal, mpiCommLocal);
} else {
subDomainSolver =
new SubDomainSolver(meshDistributor,
levelData.getMpiComm(meshLevel - 1),
levelData.getMpiComm(meshLevel));
subDomainSolver->setMeshDistributor(meshDistributor,
levelData.getMpiComm(meshLevel - 1),
levelData.getMpiComm(meshLevel));
subDomainSolver->setLevel(meshLevel);
}
}
......@@ -350,7 +351,7 @@ namespace AMDiS {
if (levelData.getMpiComm(1).Get_rank() == 0)
groupRowsInterior = localDofMap.getOverallDofs();
mpi::getDofNumbering(mpiComm, groupRowsInterior,
mpi::getDofNumbering(mpiCommGlobal, groupRowsInterior,
rStartInterior, nGlobalOverallInterior);
int tmp = 0;
......@@ -383,7 +384,7 @@ namespace AMDiS {
}
// If multi level test, inform sub domain solver about coarse space.
subDomainSolver->setDofMapping(&primalDofMap, &localDofMap);
subDomainSolver->setDofMapping(&localDofMap, &primalDofMap);
}
......@@ -463,7 +464,7 @@ namespace AMDiS {
map<int, std::set<DegreeOfFreedom> > sdRankDofs;
if (meshLevel > 0) {
StdMpi<vector<int> > stdMpi(mpiComm);
StdMpi<vector<int> > stdMpi(mpiCommGlobal);
for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(),
meshLevel, feSpace);
......@@ -645,7 +646,7 @@ namespace AMDiS {
// === Create distributed matrix for Lagrange constraints. ===
MatCreateMPIAIJ(mpiComm,
MatCreateMPIAIJ(mpiCommGlobal,
lagrangeMap.getRankDofs(), localDofMap.getRankDofs(),
lagrangeMap.getOverallDofs(), nGlobalOverallInterior,
2, PETSC_NULL, 2, PETSC_NULL,
......@@ -705,16 +706,16 @@ namespace AMDiS {
schurPrimalData.subSolver = subDomainSolver;
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
nGlobalOverallInterior,
&(schurPrimalData.tmp_vec_b));
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
primalDofMap.getRankDofs(),
primalDofMap.getOverallDofs(),
&(schurPrimalData.tmp_vec_primal));
MatCreateShell(mpiComm,
MatCreateShell(mpiCommGlobal,
primalDofMap.getRankDofs(),
primalDofMap.getRankDofs(),
primalDofMap.getOverallDofs(),
......@@ -724,7 +725,7 @@ namespace AMDiS {
MatShellSetOperation(mat_schur_primal, MATOP_MULT,
(void(*)(void))petscMultMatSchurPrimal);
KSPCreate(mpiComm, &ksp_schur_primal);
KSPCreate(mpiCommGlobal, &ksp_schur_primal);
KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal, SAME_NONZERO_PATTERN);
KSPSetOptionsPrefix(ksp_schur_primal, "schur_primal_");
KSPSetType(ksp_schur_primal, KSPGMRES);
......@@ -742,7 +743,7 @@ namespace AMDiS {
int nRowsRankB = localDofMap.getRankDofs();
Mat matBPi;
MatCreateMPIAIJ(mpiComm,
MatCreateMPIAIJ(mpiCommGlobal,
nRowsRankB, nRowsRankPrimal,
nGlobalOverallInterior, nRowsOverallPrimal,
30, PETSC_NULL, 30, PETSC_NULL, &matBPi);
......@@ -810,7 +811,7 @@ namespace AMDiS {
MatGetInfo(mat_schur_primal, MAT_GLOBAL_SUM, &minfo);
MSG("Schur primal matrix nnz = %f\n", minfo.nz_used);
KSPCreate(mpiComm, &ksp_schur_primal);
KSPCreate(mpiCommGlobal, &ksp_schur_primal);
KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal,
SAME_NONZERO_PATTERN);
KSPSetOptionsPrefix(ksp_schur_primal, "schur_primal_");
......@@ -853,20 +854,20 @@ namespace AMDiS {
fetiData.subSolver = subDomainSolver;
fetiData.ksp_schur_primal = &ksp_schur_primal;
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
nGlobalOverallInterior,
&(fetiData.tmp_vec_b));
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
lagrangeMap.getRankDofs(),
lagrangeMap.getOverallDofs(),
&(fetiData.tmp_vec_lagrange));
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
primalDofMap.getRankDofs(),
primalDofMap.getOverallDofs(),
&(fetiData.tmp_vec_primal));
MatCreateShell(mpiComm,
MatCreateShell(mpiCommGlobal,
lagrangeMap.getRankDofs(),
lagrangeMap.getRankDofs(),
lagrangeMap.getOverallDofs(),
......@@ -875,7 +876,7 @@ namespace AMDiS {
MatShellSetOperation(mat_feti, MATOP_MULT, (void(*)(void))petscMultMatFeti);
KSPCreate(mpiComm, &ksp_feti);
KSPCreate(mpiCommGlobal, &ksp_feti);
KSPSetOperators(ksp_feti, mat_feti, mat_feti, SAME_NONZERO_PATTERN);
KSPSetOptionsPrefix(ksp_feti, "feti_");
KSPSetType(ksp_feti, KSPGMRES);
......@@ -913,7 +914,7 @@ namespace AMDiS {
fetiDirichletPreconData.mat_duals_interior = &mat_duals_interior;
fetiDirichletPreconData.ksp_interior = &ksp_interior;
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
nGlobalOverallInterior,
&(fetiDirichletPreconData.tmp_vec_b));
......@@ -958,7 +959,7 @@ namespace AMDiS {
}
}
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
localDofMap.getOverallDofs(),
&(fetiLumpedPreconData.tmp_vec_b));
......@@ -1343,18 +1344,18 @@ namespace AMDiS {
// Some temporary vectors.
Vec tmp_b0, tmp_b1, tmp_lagrange0, tmp_primal0, tmp_primal1;
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
nGlobalOverallInterior,
&tmp_b0);
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
localDofMap.getRankDofs(),
nGlobalOverallInterior,
&tmp_b1);
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
primalDofMap.getRankDofs(),
primalDofMap.getOverallDofs(), &tmp_primal0);
VecCreateMPI(mpiComm,
VecCreateMPI(mpiCommGlobal,
primalDofMap.getRankDofs(),
primalDofMap.getOverallDofs(), &tmp_primal1);
......
AMDiS/src/parallel/PetscSolverGlobalBlockMatrix.cc
View file @ f1724e2f
......@@ -21,14 +21,14 @@ namespace AMDiS {
FUNCNAME("PetscSolverGlobalBlockMatrix::fillPetscMatrix()");
TEST_EXIT_DBG(meshDistributor)("No mesh distributor object defined!\n");
TEST_EXIT_DBG(dofMap)("No parallel mapping object defined!\n");
TEST_EXIT_DBG(interiorMap)("No parallel mapping object defined!\n");
TEST_EXIT_DBG(mat)("No DOF matrix defined!\n");
double wtime = MPI::Wtime();
const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(0);
nComponents = mat->getNumRows();
int nRankRows = (*dofMap)[feSpace].nRankDofs;
int nOverallRows = (*dofMap)[feSpace].nOverallDofs;
int nRankRows = (*interiorMap)[feSpace].nRankDofs;
int nOverallRows = (*interiorMap)[feSpace].nOverallDofs;
#if (DEBUG != 0)
MSG("Fill petsc matrix 1 needed %.5f seconds\n", MPI::Wtime() - wtime);
......@@ -54,7 +54,7 @@ namespace AMDiS {
for (int i = 0; i < nBlocks; i++)
for (int j = 0; j < nBlocks; j++)
MatCreateMPIAIJ(mpiComm,
MatCreateMPIAIJ(mpiCommGlobal,
nRankRows * blockSize[i], nRankRows * blockSize[j],
nOverallRows * blockSize[i], nOverallRows * blockSize[j],
30 * blockSize[i], PETSC_NULL,
......@@ -80,21 +80,21 @@ namespace AMDiS {
}
MatCreateNest(mpiComm,
MatCreateNest(mpiCommGlobal,
nBlocks, PETSC_NULL, nBlocks, PETSC_NULL,
&(nestMat[0]), &petscMatrix);
&(nestMat[0]), &matIntInt);
#if (DEBUG != 0)
MSG("Fill petsc matrix 2 needed %.5f seconds\n", MPI::Wtime() - wtime);
#endif
MatAssemblyBegin(petscMatrix, MAT_FINAL_ASSEMBLY);
MatAssemblyEnd(petscMatrix, MAT_FINAL_ASSEMBLY);
MatAssemblyBegin(matIntInt, MAT_FINAL_ASSEMBLY);
MatAssemblyEnd(matIntInt, MAT_FINAL_ASSEMBLY);
// === Init PETSc solver. ===
KSPCreate(mpiComm, &solver);
KSPSetOperators(solver, petscMatrix, petscMatrix, SAME_NONZERO_PATTERN);
KSPSetFromOptions(solver);
KSPCreate(mpiCommGlobal, &kspInterior);
KSPSetOperators(kspInterior, matIntInt, matIntInt, SAME_NONZERO_PATTERN);
KSPSetFromOptions(kspInterior);
MSG("Fill petsc matrix needed %.5f seconds\n", MPI::Wtime() - wtime);
}
......@@ -108,13 +108,13 @@ namespace AMDiS {
nComponents = vec->getSize();
const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(0);
int nRankRows = (*dofMap)[feSpace].nRankDofs;
int nOverallRows = (*dofMap)[feSpace].nOverallDofs;
int nRankRows = (*interiorMap)[feSpace].nRankDofs;
int nOverallRows = (*interiorMap)[feSpace].nOverallDofs;
nestVec.resize(nComponents);
for (int i = 0; i < nComponents; i++) {
VecCreateMPI(mpiComm, nRankRows, nOverallRows, &(nestVec[i]));
VecCreateMPI(mpiCommGlobal, nRankRows, nOverallRows, &(nestVec[i]));
setDofVector(nestVec[i], vec->getDOFVector(i));
......@@ -122,11 +122,11 @@ namespace AMDiS {
VecAssemblyEnd(nestVec[i]);
}
VecCreateNest(mpiComm, nComponents, PETSC_NULL,
&(nestVec[0]), &petscRhsVec);
VecCreateNest(mpiCommGlobal, nComponents, PETSC_NULL,
&(nestVec[0]), &rhsInterior);
VecAssemblyBegin(petscRhsVec);
VecAssemblyEnd(petscRhsVec);
VecAssemblyBegin(rhsInterior);
VecAssemblyEnd(rhsInterior);
}
......@@ -135,14 +135,14 @@ namespace AMDiS {
{
FUNCNAME("PetscSolverGlobalBlockMatrix::solvePetscMatrix()");
KSPGetPC(solver, &pc);
setBlockPreconditioner(pc);
KSPGetPC(kspInterior, &pcInterior);
setBlockPreconditioner(pcInterior);
const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(0);
VecDuplicate(petscRhsVec, &petscSolVec);
VecDuplicate(rhsInterior, &petscSolVec);
// PETSc.
KSPSolve(solver, petscRhsVec, petscSolVec);
solve(rhsInterior, petscSolVec);
// === Transfere values from PETSc's solution vectors to the DOF vectors. ===
for (int i = 0; i < nComponents; i++) {
......@@ -151,11 +151,11 @@ namespace AMDiS {
Vec tmp;
VecNestGetSubVec(petscSolVec, i, &tmp);
int nRankDofs = (*dofMap)[feSpace].nRankDofs;
int nRankDofs = (*interiorMap)[feSpace].nRankDofs;
PetscScalar *vecPointer;
VecGetArray(tmp, &vecPointer);
DofMap& d = (*dofMap)[feSpace].getMap();
DofMap& d = (*interiorMap)[feSpace].getMap();
for (DofMap::iterator it = d.begin(); it != d.end(); ++it)
if (it->second.local != -1)
dofvec[it->first] = vecPointer[it->second.local];
......@@ -178,8 +178,8 @@ namespace AMDiS {
if (nestMat[i] != PETSC_NULL)
MatDestroy(&(nestMat[i]));
MatDestroy(&petscMatrix);
KSPDestroy(&solver);
MatDestroy(&matIntInt);
KSPDestroy(&kspInterior);
}
......@@ -187,7 +187,7 @@ namespace AMDiS {
{
FUNCNAME("PetscSolverGlobalBlockMatrix::destroyVectorData()");
VecDestroy(&petscRhsVec);
VecDestroy(&rhsInterior);
for (int i = 0; i < nComponents; i++)
VecDestroy(&(nestVec[i]));
......@@ -217,8 +217,8 @@ namespace AMDiS {
typedef traits::range_generator<row, Matrix>::type cursor_type;
typedef traits::range_generator<nz, cursor_type>::type icursor_type;
int dispRowIndex = (*dofMap)[feSpace].nRankDofs * dispRowBlock;
int dispColIndex = (*dofMap)[feSpace].nRankDofs * dispColBlock;
int dispRowIndex = (*interiorMap)[feSpace].nRankDofs * dispRowBlock;
int dispColIndex = (*interiorMap)[feSpace].nRankDofs * dispColBlock;
vector<int> cols;
vector<double> values;
......@@ -232,7 +232,7 @@ namespace AMDiS {
cend = end<row>(mat->getBaseMatrix()); cursor != cend; ++cursor) {
// Global index of the current row DOF.
int rowIndex = (*dofMap)[feSpace][*cursor].global + dispRowIndex;
int rowIndex = (*interiorMap)[feSpace][*cursor].global + dispRowIndex;
cols.clear();
values.clear();
......@@ -240,7 +240,7 @@ namespace AMDiS {
for (icursor_type icursor = begin<nz>(cursor), icend = end<nz>(cursor);
icursor != icend; ++icursor) {
// Global index of the current column index.
int colIndex = (*dofMap)[feSpace][col(*icursor)].global + dispColIndex;
int colIndex = (*interiorMap)[feSpace][col(*icursor)].global + dispColIndex;
// Ignore all zero entries, expect it is a diagonal entry.
if (value(*icursor) == 0.0 && rowIndex != colIndex)
......@@ -267,7 +267,7 @@ namespace AMDiS {
// Traverse all used DOFs in the dof vector.
DOFVector<double>::Iterator dofIt(vec, USED_DOFS);
for (dofIt.reset(); !dofIt.end(); ++dofIt) {
int index = (*dofMap)[feSpace][dofIt.getDOFIndex()].global;
int index = (*interiorMap)[feSpace][dofIt.getDOFIndex()].global;
double value = *dofIt;
VecSetValues(petscVec, 1, &index, &value, ADD_VALUES);
......