PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
{
DM cdm = dm;
const PetscInt dim = user->dim;
PetscFE fe[2];
PetscQuadrature q;
Parameter *param;
MPI_Comm comm;
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscObjectGetComm((PetscObject) dm, &comm);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, dim, user->simplex, "vel_", PETSC_DEFAULT, &fe[0]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[0], "velocity");CHKERRQ(ierr);
ierr = PetscFEGetQuadrature(fe[0], &q);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, 1, user->simplex, "pres_", PETSC_DEFAULT, &fe[1]);CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fe[1], q);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[1], "pressure");CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe[0]);CHKERRQ(ierr);
ierr = DMSetField(dm, 1, NULL, (PetscObject) fe[1]);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = SetupProblem(dm, user);CHKERRQ(ierr);
ierr = PetscBagGetData(user->bag, (void **) ¶m);CHKERRQ(ierr);
while (cdm) {
ierr = DMCopyDisc(dm, cdm);CHKERRQ(ierr);
ierr = DMPlexCreateBasisRotation(cdm, param->alpha, 0.0, 0.0);CHKERRQ(ierr);
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe[0]);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe[1]);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
{
DM cdm = dm;
const PetscInt dim = 2;
PetscFE fe[3];
PetscQuadrature q;
PetscInt f;
MPI_Comm comm;
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscObjectGetComm((PetscObject) dm, &comm);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, 1, PETSC_TRUE, "potential_", -1, &fe[0]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[0], "potential");CHKERRQ(ierr);
ierr = PetscFEGetQuadrature(fe[0], &q);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, 1, PETSC_TRUE, "charge_", -1, &fe[1]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[1], "charge");CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fe[1], q);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, 1, PETSC_TRUE, "multiplier_", -1, &fe[2]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[2], "multiplier");CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fe[2], q);CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
for (f = 0; f < 3; ++f) {ierr = DMSetField(dm, f, NULL, (PetscObject) fe[f]);CHKERRQ(ierr);}
ierr = DMCreateDS(cdm);CHKERRQ(ierr);
ierr = SetupProblem(dm, user);CHKERRQ(ierr);
while (cdm) {
ierr = DMCopyDisc(dm, cdm);CHKERRQ(ierr);
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
for (f = 0; f < 3; ++f) {ierr = PetscFEDestroy(&fe[f]);CHKERRQ(ierr);}
PetscFunctionReturn(0);
}
PetscErrorCode SetupFE(DM dm, PetscInt Nc, PetscBool simplex, const char name[], PetscErrorCode (*setup)(DM, AppCtx *), void *ctx)
{
AppCtx *user = (AppCtx *) ctx;
DM cdm = dm;
PetscFE fe;
char prefix[PETSC_MAX_PATH_LEN];
PetscInt dim;
PetscErrorCode ierr;
PetscFunctionBegin;
/* Create finite element */
ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
ierr = PetscSNPrintf(prefix, PETSC_MAX_PATH_LEN, "%s_", name);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, Nc, simplex, name ? prefix : NULL, -1, &fe);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, name);CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = (*setup)(dm, user);CHKERRQ(ierr);
while (cdm) {
ierr = DMCopyDisc(dm, cdm);CHKERRQ(ierr);
if (user->useNearNullspace) {ierr = DMSetNearNullSpaceConstructor(cdm, 0, CreateElasticityNullSpace);CHKERRQ(ierr);}
/* TODO: Check whether the boundary of coarse meshes is marked */
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode SetupDiscretization(DM dm, PetscInt dim, PetscBool simplex, AppCtx *user)
{
PetscFE fe;
MPI_Comm comm;
PetscErrorCode ierr;
PetscFunctionBeginUser;
ierr = PetscObjectGetComm((PetscObject) dm, &comm);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, dim, simplex, "velocity_", -1, &fe);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, "velocity");CHKERRQ(ierr);
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = PetscFECreateDefault(comm, dim, 1, simplex, "pressure_", -1, &fe);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, "pressure");CHKERRQ(ierr);
ierr = DMSetField(dm, 1, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode DestroyElement(AppCtx *user)
{
PetscInt numFields = 2, f;
PetscErrorCode ierr;
PetscFunctionBeginUser;
for (f = 0; f < numFields; ++f) {
ierr = PetscFEDestroy(&user->fe[f]);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
static PetscErrorCode test8(DM dm, AppCtx *options)
{
PetscFE fe;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), options->dim, 1, options->simplex, NULL, -1, &fe);CHKERRQ(ierr);
ierr = DMSetField(dm, 0, NULL, (PetscObject)fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = test6(dm, options);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode test3(DM dm, AppCtx *options)
{
PetscDS ds;
PetscFE fe;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = DMGetDS(dm, &ds);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), options->dim, 1, options->simplex, NULL, -1, &fe);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(ds, 0, (PetscObject)fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = test1(dm, options);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
AppCtx user; /* user-defined work context */
Vec u;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &user.dm);CHKERRQ(ierr);
ierr = SetupElement(user.dm, &user);CHKERRQ(ierr);
ierr = SetupSection(user.dm, &user);CHKERRQ(ierr);
ierr = DMGetGlobalVector(user.dm, &u);CHKERRQ(ierr);
ierr = CheckFunctions(user.dm, user.porder, u, &user);CHKERRQ(ierr);
ierr = DMRestoreGlobalVector(user.dm, &u);CHKERRQ(ierr);
ierr = PetscFEDestroy(&user.fe);CHKERRQ(ierr);
ierr = DMDestroy(&user.dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
static PetscErrorCode SetupDiscretization(DM dm, AppCtx* ctx)
{
DM cdm = dm;
const PetscInt dim = ctx->dim;
const PetscInt id = 1;
PetscDS prob;
PetscFE fe;
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscFECreateDefault(dm, dim, 1, ctx->simplex, "temp_", -1, &fe);
CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, "temperature");
CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
ierr = DMGetDS(dm, &prob);
CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(prob, 0, (PetscObject) fe);
CHKERRQ(ierr);
ierr = SetupProblem(prob, ctx);
CHKERRQ(ierr);
while (cdm) {
PetscBool hasLabel;
ierr = DMSetDS(cdm, prob);
CHKERRQ(ierr);
ierr = DMHasLabel(cdm, "marker", &hasLabel);
CHKERRQ(ierr);
if (!hasLabel) {
ierr = CreateBCLabel(cdm, "marker");
CHKERRQ(ierr);
}
ierr = DMGetCoarseDM(cdm, &cdm);
CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);
CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode TestLocalDofOrder(DM dm, AppCtx *ctx)
{
PetscFE fe[3];
PetscSection s;
PetscInt dim, Nf, f;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, dim, ctx->simplex, "field0_", -1, &fe[0]);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, 1, ctx->simplex, "field1_", -1, &fe[1]);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), dim, 1, ctx->simplex, "field2_", -1, &fe[2]);CHKERRQ(ierr);
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe[0]);CHKERRQ(ierr);
ierr = DMSetField(dm, 1, NULL, (PetscObject) fe[1]);CHKERRQ(ierr);
ierr = DMSetField(dm, 2, NULL, (PetscObject) fe[2]);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = DMGetSection(dm, &s);CHKERRQ(ierr);
ierr = PetscObjectViewFromOptions((PetscObject) s, NULL, "-dof_view");CHKERRQ(ierr);
ierr = DMGetNumFields(dm, &Nf);CHKERRQ(ierr);
for (f = 0; f < Nf; ++f) {ierr = PetscFEDestroy(&fe[f]);CHKERRQ(ierr);}
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
DM dm;
PetscSection section;
PetscFE fe;
PetscInt cells[3] = {2, 2, 2},dim = 2,c,cStart,cEnd,tmp;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc,&argv,NULL,help);if (ierr) return ierr;
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Spectral/tensor element restrictions",NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-dim","Topological dimension",NULL,dim,&dim,NULL);CHKERRQ(ierr);
tmp = dim;
ierr = PetscOptionsIntArray("-cells","Number of cells per dimension",NULL,cells,&tmp,NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = DMPlexCreateBoxMesh(PETSC_COMM_WORLD,dim,PETSC_FALSE,cells,NULL,NULL,NULL,PETSC_TRUE,&dm);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PETSC_COMM_SELF,dim,1,PETSC_FALSE,NULL,PETSC_DETERMINE,&fe);CHKERRQ(ierr);
ierr = DMSetFromOptions(dm);CHKERRQ(ierr);
ierr = DMAddField(dm,NULL,(PetscObject)fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = DMPlexSetClosurePermutationTensor(dm,PETSC_DETERMINE,NULL);CHKERRQ(ierr);
ierr = DMGetDefaultSection(dm,§ion);CHKERRQ(ierr);
ierr = DMPlexGetHeightStratum(dm,0,&cStart,&cEnd);CHKERRQ(ierr);
for (c=cStart; c<cEnd; c++) {
PetscInt numindices,*indices;
ierr = DMPlexGetClosureIndices(dm,section,section,c,&numindices,&indices,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_SELF,"Element #%D\n",c-cStart);CHKERRQ(ierr);
ierr = PetscIntView(numindices,indices,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
ierr = DMPlexRestoreClosureIndices(dm,section,section,c,&numindices,&indices,NULL);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
{
DM cdm = dm;
const PetscInt dim = 2;
PetscFE fe[3];
PetscQuadrature q;
PetscInt f;
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, "potential_", -1, &fe[0]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[0], "potential");CHKERRQ(ierr);
ierr = PetscFEGetQuadrature(fe[0], &q);CHKERRQ(ierr);
ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, "conductivity_", -1, &fe[1]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[1], "conductivity");CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fe[1], q);CHKERRQ(ierr);
ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, "multiplier_", -1, &fe[2]);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe[2], "multiplier");CHKERRQ(ierr);
ierr = PetscFESetQuadrature(fe[2], q);CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
while (cdm) {
const PetscInt id = 1;
PetscDS prob;
ierr = DMGetDS(cdm, &prob);CHKERRQ(ierr);
for (f = 0; f < 3; ++f) {ierr = PetscDSSetDiscretization(prob, f, (PetscObject) fe[f]);CHKERRQ(ierr);}
ierr = SetupProblem(cdm, user);CHKERRQ(ierr);
ierr = DMAddBoundary(cdm, PETSC_TRUE, "wall", "marker", 0, 0, NULL, (void (*)()) user->exactFuncs[0], 1, &id, user);CHKERRQ(ierr);
ierr = DMAddBoundary(cdm, PETSC_TRUE, "wall", "marker", 1, 0, NULL, (void (*)()) user->exactFuncs[1], 1, &id, user);CHKERRQ(ierr);
ierr = DMAddBoundary(cdm, PETSC_TRUE, "wall", "marker", 2, 0, NULL, (void (*)()) user->exactFuncs[2], 1, &id, user);CHKERRQ(ierr);
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
for (f = 0; f < 3; ++f) {ierr = PetscFEDestroy(&fe[f]);CHKERRQ(ierr);}
PetscFunctionReturn(0);
}
static PetscErrorCode SetupDiscretization(DM dm, const char name[], PetscErrorCode (*setup)(DM, AppCtx *), AppCtx *user)
{
DM cdm = dm;
PetscFE fe;
char prefix[PETSC_MAX_PATH_LEN];
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscSNPrintf(prefix, PETSC_MAX_PATH_LEN, "%s_", name);CHKERRQ(ierr);
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), user->dim, 1, user->simplex, name ? prefix : NULL, -1, &fe);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, name);CHKERRQ(ierr);
/* Set discretization and boundary conditions for each mesh */
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = (*setup)(dm, user);CHKERRQ(ierr);
while (cdm) {
ierr = DMCopyDisc(dm,cdm);CHKERRQ(ierr);
/* TODO: Check whether the boundary of coarse meshes is marked */
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
DM dm; /* Problem specification */
DM dmAux; /* Material specification */
SNES snes; /* nonlinear solver */
Vec u,r; /* solution, residual vectors */
Mat A,J; /* Jacobian matrix */
MatNullSpace nullSpace; /* May be necessary for Neumann conditions */
AppCtx user; /* user-defined work context */
JacActionCtx userJ; /* context for Jacobian MF action */
PetscInt its; /* iterations for convergence */
PetscReal error = 0.0; /* L_2 error in the solution */
PetscInt numComponents;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL, help);CHKERRQ(ierr);
ierr = ProcessOptions(PETSC_COMM_WORLD, &user);CHKERRQ(ierr);
ierr = SNESCreate(PETSC_COMM_WORLD, &snes);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &user, &dm);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
ierr = DMSetApplicationContext(dm, &user);CHKERRQ(ierr);
user.fem.fe = user.fe;
ierr = PetscFECreateDefault(dm, user.dim, 1, PETSC_TRUE, NULL, -1, &user.fe[0]);CHKERRQ(ierr);
if (user.bcType != NEUMANN) {
user.fem.feBd = NULL; user.feBd[0] = NULL;
} else {
user.fem.feBd = user.feBd;
ierr = PetscFECreateDefault(dm, user.dim-1, 1, PETSC_TRUE, "bd_", -1, &user.feBd[0]);CHKERRQ(ierr);
}
ierr = PetscFEGetNumComponents(user.fe[0], &numComponents);CHKERRQ(ierr);
ierr = PetscMalloc(NUM_FIELDS * sizeof(void (*)(const PetscReal[], PetscScalar *, void *)), &user.exactFuncs);CHKERRQ(ierr);
ierr = SetupProblem(dm, &user);CHKERRQ(ierr);
ierr = SetupSection(dm, &user);CHKERRQ(ierr);
/* Setup Material */
ierr = DMClone(dm, &dmAux);CHKERRQ(ierr);
ierr = DMPlexCopyCoordinates(dm, dmAux);CHKERRQ(ierr);
if (user.variableCoefficient != COEFF_FIELD) {
user.fem.feAux = NULL; user.feAux[0] = NULL;
} else {
PetscQuadrature q;
user.fem.feAux = user.feAux;
ierr = PetscFECreateDefault(dmAux, user.dim, 1, PETSC_TRUE, "mat_", -1, &user.feAux[0]);CHKERRQ(ierr);
ierr = PetscFEGetQuadrature(user.fe[0], &q);CHKERRQ(ierr);
ierr = PetscFESetQuadrature(user.feAux[0], q);CHKERRQ(ierr);
}
ierr = SetupMaterialSection(dmAux, &user);CHKERRQ(ierr);
ierr = SetupMaterial(dm, dmAux, &user);CHKERRQ(ierr);
ierr = DMDestroy(&dmAux);CHKERRQ(ierr);
ierr = DMCreateGlobalVector(dm, &u);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) u, "potential");CHKERRQ(ierr);
ierr = VecDuplicate(u, &r);CHKERRQ(ierr);
ierr = DMSetMatType(dm,MATAIJ);CHKERRQ(ierr);
ierr = DMCreateMatrix(dm, &J);CHKERRQ(ierr);
if (user.jacobianMF) {
PetscInt M, m, N, n;
ierr = MatGetSize(J, &M, &N);CHKERRQ(ierr);
ierr = MatGetLocalSize(J, &m, &n);CHKERRQ(ierr);
ierr = MatCreate(PETSC_COMM_WORLD, &A);CHKERRQ(ierr);
ierr = MatSetSizes(A, m, n, M, N);CHKERRQ(ierr);
ierr = MatSetType(A, MATSHELL);CHKERRQ(ierr);
ierr = MatSetUp(A);CHKERRQ(ierr);
#if 0
ierr = MatShellSetOperation(A, MATOP_MULT, (void (*)(void))FormJacobianAction);CHKERRQ(ierr);
#endif
userJ.dm = dm;
userJ.J = J;
userJ.user = &user;
ierr = DMCreateLocalVector(dm, &userJ.u);CHKERRQ(ierr);
ierr = DMPlexProjectFunctionLocal(dm, user.fe, user.exactFuncs, NULL, INSERT_BC_VALUES, userJ.u);CHKERRQ(ierr);
ierr = MatShellSetContext(A, &userJ);CHKERRQ(ierr);
} else {
A = J;
}
if (user.bcType == NEUMANN) {
ierr = MatNullSpaceCreate(PetscObjectComm((PetscObject) dm), PETSC_TRUE, 0, NULL, &nullSpace);CHKERRQ(ierr);
ierr = MatSetNullSpace(J, nullSpace);CHKERRQ(ierr);
if (A != J) {
ierr = MatSetNullSpace(A, nullSpace);CHKERRQ(ierr);
}
}
ierr = DMSNESSetFunctionLocal(dm, (PetscErrorCode (*)(DM,Vec,Vec,void*)) DMPlexComputeResidualFEM, &user);CHKERRQ(ierr);
ierr = DMSNESSetJacobianLocal(dm, (PetscErrorCode (*)(DM,Vec,Mat,Mat,void*)) DMPlexComputeJacobianFEM, &user);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes, A, J, NULL, NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = DMPlexProjectFunction(dm, user.fe, user.exactFuncs, NULL, INSERT_ALL_VALUES, u);CHKERRQ(ierr);
if (user.checkpoint) {
#if defined(PETSC_HAVE_HDF5)
ierr = PetscViewerHDF5PushGroup(user.checkpoint, "/fields");CHKERRQ(ierr);
ierr = VecLoad(u, user.checkpoint);CHKERRQ(ierr);
ierr = PetscViewerHDF5PopGroup(user.checkpoint);CHKERRQ(ierr);
#endif
}
ierr = PetscViewerDestroy(&user.checkpoint);CHKERRQ(ierr);
if (user.showInitial) {
Vec lv;
ierr = DMGetLocalVector(dm, &lv);CHKERRQ(ierr);
ierr = DMGlobalToLocalBegin(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(dm, u, INSERT_VALUES, lv);CHKERRQ(ierr);
ierr = DMPrintLocalVec(dm, "Local function", 1.0e-10, lv);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(dm, &lv);CHKERRQ(ierr);
}
if (user.runType == RUN_FULL) {
void (*initialGuess[numComponents])(const PetscReal x[], PetscScalar *, void *ctx);
PetscInt c;
for (c = 0; c < numComponents; ++c) initialGuess[c] = zero;
ierr = DMPlexProjectFunction(dm, user.fe, initialGuess, NULL, INSERT_VALUES, u);CHKERRQ(ierr);
if (user.debug) {
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
}
ierr = SNESSolve(snes, NULL, u);CHKERRQ(ierr);
ierr = SNESGetIterationNumber(snes, &its);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Number of SNES iterations = %D\n", its);CHKERRQ(ierr);
ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
else {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);}
if (user.showSolution) {
ierr = PetscPrintf(PETSC_COMM_WORLD, "Solution\n");CHKERRQ(ierr);
ierr = VecChop(u, 3.0e-9);CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
}
} else if (user.runType == RUN_PERF) {
PetscReal res = 0.0;
ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
} else {
PetscReal res = 0.0;
/* Check discretization error */
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial guess\n");CHKERRQ(ierr);
ierr = VecView(u, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = DMPlexComputeL2Diff(dm, user.fe, user.exactFuncs, NULL, u, &error);CHKERRQ(ierr);
if (error < 1.0e-11) {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: < 1.0e-11\n");CHKERRQ(ierr);}
else {ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Error: %g\n", error);CHKERRQ(ierr);}
/* Check residual */
ierr = SNESComputeFunction(snes, u, r);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Initial Residual\n");CHKERRQ(ierr);
ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "L_2 Residual: %g\n", res);CHKERRQ(ierr);
/* Check Jacobian */
{
Vec b;
ierr = SNESComputeJacobian(snes, u, A, A);CHKERRQ(ierr);
ierr = VecDuplicate(u, &b);CHKERRQ(ierr);
ierr = VecSet(r, 0.0);CHKERRQ(ierr);
ierr = SNESComputeFunction(snes, r, b);CHKERRQ(ierr);
ierr = MatMult(A, u, r);CHKERRQ(ierr);
ierr = VecAXPY(r, 1.0, b);CHKERRQ(ierr);
ierr = VecDestroy(&b);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Au - b = Au + F(0)\n");CHKERRQ(ierr);
ierr = VecChop(r, 1.0e-10);CHKERRQ(ierr);
ierr = VecView(r, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = VecNorm(r, NORM_2, &res);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD, "Linear L_2 Residual: %g\n", res);CHKERRQ(ierr);
}
}
ierr = VecViewFromOptions(u, NULL, "-vec_view");CHKERRQ(ierr);
if (user.bcType == NEUMANN) {
ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
}
if (user.jacobianMF) {
ierr = VecDestroy(&userJ.u);CHKERRQ(ierr);
}
if (A != J) {ierr = MatDestroy(&A);CHKERRQ(ierr);}
ierr = PetscFEDestroy(&user.fe[0]);CHKERRQ(ierr);
ierr = PetscFEDestroy(&user.feBd[0]);CHKERRQ(ierr);
ierr = PetscFEDestroy(&user.feAux[0]);CHKERRQ(ierr);
ierr = MatDestroy(&J);CHKERRQ(ierr);
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&r);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFree(user.exactFuncs);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
int main(int argc,char **args)
{
Mat Amat;
PetscErrorCode ierr;
SNES snes;
KSP ksp;
MPI_Comm comm;
PetscMPIInt npe,rank;
PetscLogStage stage[7];
PetscBool test_nonzero_cols=PETSC_FALSE,use_nearnullspace=PETSC_TRUE;
Vec xx,bb;
PetscInt iter,i,N,dim=3,cells[3]={1,1,1},max_conv_its,local_sizes[7],run_type=1;
DM dm,distdm,basedm;
PetscBool flg;
char convType[256];
PetscReal Lx,mdisp[10],err[10];
const char * const options[10] = {"-ex56_dm_refine 0",
"-ex56_dm_refine 1",
"-ex56_dm_refine 2",
"-ex56_dm_refine 3",
"-ex56_dm_refine 4",
"-ex56_dm_refine 5",
"-ex56_dm_refine 6",
"-ex56_dm_refine 7",
"-ex56_dm_refine 8",
"-ex56_dm_refine 9"};
PetscFunctionBeginUser;
ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr;
comm = PETSC_COMM_WORLD;
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(comm, &npe);CHKERRQ(ierr);
/* options */
ierr = PetscOptionsBegin(comm,NULL,"3D bilinear Q1 elasticity options","");CHKERRQ(ierr);
{
i = 3;
ierr = PetscOptionsIntArray("-cells", "Number of (flux tube) processor in each dimension", "ex56.c", cells, &i, NULL);CHKERRQ(ierr);
Lx = 1.; /* or ne for rod */
max_conv_its = 3;
ierr = PetscOptionsInt("-max_conv_its","Number of iterations in convergence study","",max_conv_its,&max_conv_its,NULL);CHKERRQ(ierr);
if (max_conv_its<=0 || max_conv_its>7) SETERRQ1(PETSC_COMM_WORLD, PETSC_ERR_USER, "Bad number of iterations for convergence test (%D)",max_conv_its);
ierr = PetscOptionsReal("-lx","Length of domain","",Lx,&Lx,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alpha","material coefficient inside circle","",s_soft_alpha,&s_soft_alpha,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_nonzero_cols","nonzero test","",test_nonzero_cols,&test_nonzero_cols,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-use_mat_nearnullspace","MatNearNullSpace API test","",use_nearnullspace,&use_nearnullspace,NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-run_type","0: twisting load on cantalever, 1: 3rd order accurate convergence test","",run_type,&run_type,NULL);CHKERRQ(ierr);
i = 3;
ierr = PetscOptionsInt("-mat_block_size","","",i,&i,&flg);CHKERRQ(ierr);
if (!flg || i!=3) SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_USER, "'-mat_block_size 3' must be set (%D) and = 3 (%D)",flg,flg? i : 3);
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = PetscLogStageRegister("Mesh Setup", &stage[6]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("1st Setup", &stage[0]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("1st Solve", &stage[1]);CHKERRQ(ierr);
/* create DM, Plex calls DMSetup */
ierr = PetscLogStagePush(stage[6]);CHKERRQ(ierr);
ierr = DMPlexCreateHexBoxMesh(comm, dim, cells, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, &dm);CHKERRQ(ierr);
{
DMLabel label;
IS is;
ierr = DMCreateLabel(dm, "boundary");CHKERRQ(ierr);
ierr = DMGetLabel(dm, "boundary", &label);CHKERRQ(ierr);
ierr = DMPlexMarkBoundaryFaces(dm, label);CHKERRQ(ierr);
if (run_type==0) {
ierr = DMGetStratumIS(dm, "boundary", 1, &is);CHKERRQ(ierr);
ierr = DMCreateLabel(dm,"Faces");CHKERRQ(ierr);
if (is) {
PetscInt d, f, Nf;
const PetscInt *faces;
PetscInt csize;
PetscSection cs;
Vec coordinates ;
DM cdm;
ierr = ISGetLocalSize(is, &Nf);CHKERRQ(ierr);
ierr = ISGetIndices(is, &faces);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
ierr = DMGetDefaultSection(cdm, &cs);CHKERRQ(ierr);
/* Check for each boundary face if any component of its centroid is either 0.0 or 1.0 */
for (f = 0; f < Nf; ++f) {
PetscReal faceCoord;
PetscInt b,v;
PetscScalar *coords = NULL;
PetscInt Nv;
ierr = DMPlexVecGetClosure(cdm, cs, coordinates, faces[f], &csize, &coords);CHKERRQ(ierr);
Nv = csize/dim; /* Calculate mean coordinate vector */
for (d = 0; d < dim; ++d) {
faceCoord = 0.0;
for (v = 0; v < Nv; ++v) faceCoord += PetscRealPart(coords[v*dim+d]);
faceCoord /= Nv;
for (b = 0; b < 2; ++b) {
if (PetscAbs(faceCoord - b) < PETSC_SMALL) { /* domain have not been set yet, still [0,1]^3 */
ierr = DMSetLabelValue(dm, "Faces", faces[f], d*2+b+1);CHKERRQ(ierr);
}
}
}
ierr = DMPlexVecRestoreClosure(cdm, cs, coordinates, faces[f], &csize, &coords);CHKERRQ(ierr);
}
ierr = ISRestoreIndices(is, &faces);CHKERRQ(ierr);
}
ierr = ISDestroy(&is);CHKERRQ(ierr);
ierr = DMGetLabel(dm, "Faces", &label);CHKERRQ(ierr);
ierr = DMPlexLabelComplete(dm, label);CHKERRQ(ierr);
}
}
{
PetscInt dimEmbed, i;
PetscInt nCoords;
PetscScalar *coords,bounds[] = {0,Lx,-.5,.5,-.5,.5,}; /* x_min,x_max,y_min,y_max */
Vec coordinates;
if (run_type==1) {
for (i = 0; i < 2*dim; i++) bounds[i] = (i%2) ? 1 : 0;
}
ierr = DMGetCoordinatesLocal(dm,&coordinates);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm,&dimEmbed);CHKERRQ(ierr);
if (dimEmbed != dim) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"dimEmbed != dim %D",dimEmbed);CHKERRQ(ierr);
ierr = VecGetLocalSize(coordinates,&nCoords);CHKERRQ(ierr);
if (nCoords % dimEmbed) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Coordinate vector the wrong size");CHKERRQ(ierr);
ierr = VecGetArray(coordinates,&coords);CHKERRQ(ierr);
for (i = 0; i < nCoords; i += dimEmbed) {
PetscInt j;
PetscScalar *coord = &coords[i];
for (j = 0; j < dimEmbed; j++) {
coord[j] = bounds[2 * j] + coord[j] * (bounds[2 * j + 1] - bounds[2 * j]);
}
}
ierr = VecRestoreArray(coordinates,&coords);CHKERRQ(ierr);
ierr = DMSetCoordinatesLocal(dm,coordinates);CHKERRQ(ierr);
}
/* convert to p4est, and distribute */
ierr = PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
ierr = PetscOptionsFList("-dm_type","Convert DMPlex to another format (should not be Plex!)","ex56.c",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
ierr = PetscOptionsEnd();
if (flg) {
DM newdm;
ierr = DMConvert(dm,convType,&newdm);CHKERRQ(ierr);
if (newdm) {
const char *prefix;
PetscBool isForest;
ierr = PetscObjectGetOptionsPrefix((PetscObject)dm,&prefix);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)newdm,prefix);CHKERRQ(ierr);
ierr = DMIsForest(newdm,&isForest);CHKERRQ(ierr);
if (isForest) {
} else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Converted to non Forest?");
ierr = DMDestroy(&dm);CHKERRQ(ierr);
dm = newdm;
} else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Convert failed?");
} else {
/* Plex Distribute mesh over processes */
ierr = DMPlexDistribute(dm, 0, NULL, &distdm);CHKERRQ(ierr);
if (distdm) {
const char *prefix;
ierr = PetscObjectGetOptionsPrefix((PetscObject)dm,&prefix);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)distdm,prefix);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
dm = distdm;
}
}
ierr = PetscLogStagePop();CHKERRQ(ierr);
basedm = dm; dm = NULL;
for (iter=0 ; iter<max_conv_its ; iter++) {
ierr = PetscLogStagePush(stage[6]);CHKERRQ(ierr);
/* make new DM */
ierr = DMClone(basedm, &dm);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject) dm, "ex56_");CHKERRQ(ierr);
ierr = PetscObjectSetName( (PetscObject)dm,"Mesh");CHKERRQ(ierr);
ierr = PetscOptionsClearValue(NULL,"-ex56_dm_refine");CHKERRQ(ierr);
ierr = PetscOptionsInsertString(NULL,options[iter]);CHKERRQ(ierr);
ierr = DMSetFromOptions(dm);CHKERRQ(ierr); /* refinement done here in Plex, p4est */
/* snes */
ierr = SNESCreate(comm, &snes);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
/* fem */
{
const PetscInt Ncomp = dim;
const PetscInt components[] = {0,1,2};
const PetscInt Nfid = 1, Npid = 1;
const PetscInt fid[] = {1}; /* The fixed faces (x=0) */
const PetscInt pid[] = {2}; /* The faces with loading (x=L_x) */
PetscFE fe;
PetscDS prob;
DM cdm = dm;
ierr = PetscFECreateDefault(dm, dim, dim, PETSC_FALSE, NULL, PETSC_DECIDE, &fe);CHKERRQ(ierr); /* elasticity */
ierr = PetscObjectSetName((PetscObject) fe, "deformation");CHKERRQ(ierr);
/* FEM prob */
ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(prob, 0, (PetscObject) fe);CHKERRQ(ierr);
/* setup problem */
if (run_type==1) {
ierr = PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, g3_uu_3d);CHKERRQ(ierr);
ierr = PetscDSSetResidual(prob, 0, f0_u_x4, f1_u_3d);CHKERRQ(ierr);
} else {
ierr = PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, g3_uu_3d_alpha);CHKERRQ(ierr);
ierr = PetscDSSetResidual(prob, 0, f0_u, f1_u_3d_alpha);CHKERRQ(ierr);
ierr = PetscDSSetBdResidual(prob, 0, f0_bd_u_3d, f1_bd_u);CHKERRQ(ierr);
}
/* bcs */
if (run_type==1) {
PetscInt id = 1;
ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "wall", "boundary", 0, 0, NULL, (void (*)()) zero, 1, &id, NULL);CHKERRQ(ierr);
} else {
ierr = PetscDSAddBoundary(prob, DM_BC_ESSENTIAL, "fixed", "Faces", 0, Ncomp, components, (void (*)()) zero, Nfid, fid, NULL);CHKERRQ(ierr);
ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL, "traction", "Faces", 0, Ncomp, components, NULL, Npid, pid, NULL);CHKERRQ(ierr);
}
while (cdm) {
ierr = DMSetDS(cdm,prob);CHKERRQ(ierr);
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
}
/* vecs & mat */
ierr = DMCreateGlobalVector(dm,&xx);CHKERRQ(ierr);
ierr = VecDuplicate(xx, &bb);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) bb, "b");CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) xx, "u");CHKERRQ(ierr);
ierr = DMCreateMatrix(dm, &Amat);CHKERRQ(ierr);
ierr = VecGetSize(bb,&N);CHKERRQ(ierr);
local_sizes[iter] = N;
ierr = PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %d global equations, %d vertices\n",rank,PETSC_FUNCTION_NAME,N,N/dim);CHKERRQ(ierr);
if (use_nearnullspace && N/dim > 1) {
/* Set up the near null space (a.k.a. rigid body modes) that will be used by the multigrid preconditioner */
DM subdm;
MatNullSpace nearNullSpace;
PetscInt fields = 0;
PetscObject deformation;
ierr = DMCreateSubDM(dm, 1, &fields, NULL, &subdm);CHKERRQ(ierr);
ierr = DMPlexCreateRigidBody(subdm, &nearNullSpace);CHKERRQ(ierr);
ierr = DMGetField(dm, 0, &deformation);CHKERRQ(ierr);
ierr = PetscObjectCompose(deformation, "nearnullspace", (PetscObject) nearNullSpace);CHKERRQ(ierr);
ierr = DMDestroy(&subdm);CHKERRQ(ierr);
ierr = MatNullSpaceDestroy(&nearNullSpace);CHKERRQ(ierr); /* created by DM and destroyed by Mat */
}
ierr = DMPlexSetSNESLocalFEM(dm,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes, Amat, Amat, NULL, NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = DMSetUp(dm);CHKERRQ(ierr);
ierr = PetscLogStagePop();CHKERRQ(ierr);
ierr = PetscLogStagePush(stage[0]);CHKERRQ(ierr);
/* ksp */
ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr);
ierr = KSPSetComputeSingularValues(ksp,PETSC_TRUE);CHKERRQ(ierr);
/* test BCs */
ierr = VecZeroEntries(xx);CHKERRQ(ierr);
if (test_nonzero_cols) {
if (rank==0) ierr = VecSetValue(xx,0,1.0,INSERT_VALUES);CHKERRQ(ierr);
ierr = VecAssemblyBegin(xx);CHKERRQ(ierr);
ierr = VecAssemblyEnd(xx);CHKERRQ(ierr);
}
ierr = VecZeroEntries(bb);CHKERRQ(ierr);
ierr = VecGetSize(bb,&i);CHKERRQ(ierr);
local_sizes[iter] = i;
ierr = PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %d equations in vector, %d vertices\n",rank,PETSC_FUNCTION_NAME,i,i/dim);CHKERRQ(ierr);
/* setup solver, dummy solve to really setup */
if (0) {
ierr = KSPSetTolerances(ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,1);CHKERRQ(ierr);
ierr = SNESSolve(snes, bb, xx);CHKERRQ(ierr);
ierr = KSPSetTolerances(ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,50);CHKERRQ(ierr);
ierr = VecZeroEntries(xx);CHKERRQ(ierr);
}
ierr = PetscLogStagePop();CHKERRQ(ierr);
/* solve */
ierr = PetscLogStagePush(stage[1]);CHKERRQ(ierr);
ierr = SNESSolve(snes, bb, xx);CHKERRQ(ierr);
ierr = PetscLogStagePop();CHKERRQ(ierr);
ierr = VecNorm(xx,NORM_INFINITY,&mdisp[iter]);CHKERRQ(ierr);
ierr = DMViewFromOptions(dm, NULL, "-dm_view");CHKERRQ(ierr);
{
PetscViewer viewer = NULL;
PetscViewerFormat fmt;
ierr = PetscOptionsGetViewer(comm,"ex56_","-vec_view",&viewer,&fmt,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerPushFormat(viewer,fmt);CHKERRQ(ierr);
ierr = VecView(xx,viewer);CHKERRQ(ierr);
ierr = VecView(bb,viewer);CHKERRQ(ierr);
ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
}
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
/* Free work space */
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = VecDestroy(&xx);CHKERRQ(ierr);
ierr = VecDestroy(&bb);CHKERRQ(ierr);
ierr = MatDestroy(&Amat);CHKERRQ(ierr);
}
ierr = DMDestroy(&basedm);CHKERRQ(ierr);
if (run_type==1) {
err[0] = 59.975208 - mdisp[0]; /* error with what I think is the exact solution */
} else {
err[0] = 171.038 - mdisp[0];
}
for (iter=1 ; iter<max_conv_its ; iter++) {
if (run_type==1) {
err[iter] = 59.975208 - mdisp[iter];
} else {
err[iter] = 171.038 - mdisp[iter];
}
PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %D) N=%12D, max displ=%9.7e, disp diff=%9.2e, error=%4.3e, rate=%3.2g\n",
rank,PETSC_FUNCTION_NAME,iter,local_sizes[iter],mdisp[iter],
mdisp[iter]-mdisp[iter-1],err[iter],log(err[iter-1]/err[iter])/log(2.));
}
ierr = PetscFinalize();
return ierr;
}
PetscErrorCode SetupDiscretization(DM dm, AppCtx *user)
{
DM cdm = dm;
const PetscInt dim = user->dim;
const PetscInt id = 1;
PetscFE feAux = NULL;
PetscFE feBd = NULL;
PetscFE feCh = NULL;
PetscFE fe;
PetscDS prob;
PetscErrorCode ierr;
PetscFunctionBeginUser;
/* Create finite element */
ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, NULL, -1, &fe);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) fe, "potential");CHKERRQ(ierr);
if (user->bcType == NEUMANN) {
ierr = PetscFECreateDefault(dm, dim-1, 1, PETSC_TRUE, "bd_", -1, &feBd);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) feBd, "potential");CHKERRQ(ierr);
}
if (user->variableCoefficient == COEFF_FIELD) {
PetscQuadrature q;
ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, "mat_", -1, &feAux);CHKERRQ(ierr);
ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr);
ierr = PetscFESetQuadrature(feAux, q);CHKERRQ(ierr);
}
if (user->check) {ierr = PetscFECreateDefault(dm, dim, 1, PETSC_TRUE, "ch_", -1, &feCh);CHKERRQ(ierr);}
/* Set discretization and boundary conditions for each mesh */
while (cdm) {
ierr = DMGetDS(cdm, &prob);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(prob, 0, (PetscObject) fe);CHKERRQ(ierr);
ierr = PetscDSSetBdDiscretization(prob, 0, (PetscObject) feBd);CHKERRQ(ierr);
if (feAux) {
DM dmAux;
PetscDS probAux;
ierr = DMClone(cdm, &dmAux);CHKERRQ(ierr);
ierr = DMPlexCopyCoordinates(cdm, dmAux);CHKERRQ(ierr);
ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(probAux, 0, (PetscObject) feAux);CHKERRQ(ierr);
ierr = PetscObjectCompose((PetscObject) dm, "dmAux", (PetscObject) dmAux);CHKERRQ(ierr);
ierr = SetupMaterial(cdm, dmAux, user);CHKERRQ(ierr);
ierr = DMDestroy(&dmAux);CHKERRQ(ierr);
}
if (feCh) {
DM dmCh;
PetscDS probCh;
ierr = DMClone(cdm, &dmCh);CHKERRQ(ierr);
ierr = DMPlexCopyCoordinates(cdm, dmCh);CHKERRQ(ierr);
ierr = DMGetDS(dmCh, &probCh);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(probCh, 0, (PetscObject) feCh);CHKERRQ(ierr);
ierr = PetscObjectCompose((PetscObject) dm, "dmCh", (PetscObject) dmCh);CHKERRQ(ierr);
ierr = DMDestroy(&dmCh);CHKERRQ(ierr);
}
ierr = SetupProblem(cdm, user);CHKERRQ(ierr);
ierr = DMPlexAddBoundary(cdm, user->bcType == DIRICHLET, "wall", user->bcType == NEUMANN ? "boundary" : "marker", 0, user->exactFuncs[0], 1, &id, user);CHKERRQ(ierr);
ierr = DMPlexGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&feBd);CHKERRQ(ierr);
ierr = PetscFEDestroy(&feAux);CHKERRQ(ierr);
ierr = PetscFEDestroy(&feCh);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc, char **argv)
{
MPI_Comm comm;
DM base, preForest, postForest;
PetscInt dim = 2;
PetscInt preCount, postCount;
Vec preVec, postVecTransfer, postVecExact;
PetscErrorCode (*funcs[1]) (PetscInt,PetscReal,const PetscReal [],PetscInt,PetscScalar [], void *) = {MultiaffineFunction};
void *ctxs[1] = {NULL};
const PetscInt cells[] = {3, 3, 3};
PetscReal diff, tol = PETSC_SMALL;
PetscBool linear = PETSC_FALSE;
PetscBool useFV = PETSC_FALSE;
PetscDS ds;
bc_func_ctx bcCtx;
DMLabel adaptLabel;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
comm = PETSC_COMM_WORLD;
ierr = PetscOptionsBegin(comm, "", "DMForestTransferVec() Test Options", "DMFOREST");CHKERRQ(ierr);
ierr = PetscOptionsInt("-dim", "The dimension (2 or 3)", "ex2.c", dim, &dim, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-linear","Transfer a simple linear function", "ex2.c", linear, &linear, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-use_fv","Use a finite volume approximation", "ex2.c", useFV, &useFV, NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
if (linear) {
funcs[0] = LinearFunction;
}
bcCtx.func = funcs[0];
bcCtx.dim = dim;
bcCtx.Nf = 1;
bcCtx.ctx = NULL;
/* the base mesh */
ierr = DMPlexCreateHexBoxMesh(comm, dim, cells, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, &base);CHKERRQ(ierr);
if (useFV) {
PetscFV fv;
PetscLimiter limiter;
DM baseFV;
ierr = DMPlexConstructGhostCells(base,NULL,NULL,&baseFV);CHKERRQ(ierr);
ierr = DMDestroy(&base);CHKERRQ(ierr);
base = baseFV;
ierr = PetscFVCreate(comm, &fv);CHKERRQ(ierr);
ierr = PetscFVSetSpatialDimension(fv,dim);CHKERRQ(ierr);
ierr = PetscFVSetType(fv,PETSCFVLEASTSQUARES);CHKERRQ(ierr);
ierr = PetscFVSetNumComponents(fv,1);CHKERRQ(ierr);
ierr = PetscLimiterCreate(comm,&limiter);CHKERRQ(ierr);
ierr = PetscLimiterSetType(limiter,PETSCLIMITERNONE);CHKERRQ(ierr);
ierr = PetscFVSetLimiter(fv,limiter);CHKERRQ(ierr);
ierr = PetscLimiterDestroy(&limiter);CHKERRQ(ierr);
ierr = PetscFVSetFromOptions(fv);CHKERRQ(ierr);
ierr = DMSetField(base,0,(PetscObject)fv);CHKERRQ(ierr);
ierr = PetscFVDestroy(&fv);CHKERRQ(ierr);
} else {
PetscFE fe;
ierr = PetscFECreateDefault(base,dim,1,PETSC_FALSE,NULL,PETSC_DEFAULT,&fe);CHKERRQ(ierr);
ierr = DMSetField(base,0,(PetscObject)fe);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
}
{
PetscDS prob;
PetscInt comps[] = {0};
PetscInt ids[] = {1, 2, 3, 4, 5, 6};
ierr = DMGetDS(base,&prob);CHKERRQ(ierr);
ierr = PetscDSAddBoundary(prob,PETSC_TRUE, "bc", "marker", 0, 1, comps, useFV ? (void(*)()) bc_func_fv : (void(*)()) funcs[0], 2 * dim, ids, useFV ? (void *) &bcCtx : NULL);CHKERRQ(ierr);
}
ierr = AddIdentityLabel(base);CHKERRQ(ierr);
ierr = DMViewFromOptions(base,NULL,"-dm_base_view");CHKERRQ(ierr);
/* the pre adaptivity forest */
ierr = DMCreate(comm,&preForest);CHKERRQ(ierr);
ierr = DMSetType(preForest,(dim == 2) ? DMP4EST : DMP8EST);CHKERRQ(ierr);
ierr = DMGetDS(base,&ds);CHKERRQ(ierr);
ierr = DMSetDS(preForest,ds);CHKERRQ(ierr);
ierr = DMForestSetBaseDM(preForest,base);CHKERRQ(ierr);
ierr = DMForestSetMinimumRefinement(preForest,1);CHKERRQ(ierr);
ierr = DMForestSetInitialRefinement(preForest,1);CHKERRQ(ierr);
ierr = DMSetFromOptions(preForest);CHKERRQ(ierr);
ierr = DMSetUp(preForest);CHKERRQ(ierr);
ierr = DMViewFromOptions(preForest,NULL,"-dm_pre_view");CHKERRQ(ierr);
/* the pre adaptivity field */
ierr = DMCreateGlobalVector(preForest,&preVec);CHKERRQ(ierr);
ierr = DMProjectFunction(preForest,0.,funcs,ctxs,INSERT_VALUES,preVec);CHKERRQ(ierr);
ierr = VecViewFromOptions(preVec,NULL,"-vec_pre_view");CHKERRQ(ierr);
ierr = PetscObjectGetReference((PetscObject)preForest,&preCount);CHKERRQ(ierr);
/* adapt */
ierr = CreateAdaptivityLabel(preForest,&adaptLabel);CHKERRQ(ierr);
ierr = DMForestTemplate(preForest,comm,&postForest);CHKERRQ(ierr);
ierr = DMForestSetMinimumRefinement(postForest,0);CHKERRQ(ierr);
ierr = DMForestSetInitialRefinement(postForest,0);CHKERRQ(ierr);
ierr = DMForestSetAdaptivityLabel(postForest,adaptLabel);CHKERRQ(ierr);
ierr = DMLabelDestroy(&adaptLabel);CHKERRQ(ierr);
ierr = DMSetUp(postForest);CHKERRQ(ierr);
ierr = DMViewFromOptions(postForest,NULL,"-dm_post_view");CHKERRQ(ierr);
/* transfer */
ierr = DMCreateGlobalVector(postForest,&postVecTransfer);CHKERRQ(ierr);
ierr = DMForestTransferVec(preForest,preVec,postForest,postVecTransfer,PETSC_TRUE,0.0);CHKERRQ(ierr);
ierr = VecViewFromOptions(postVecTransfer,NULL,"-vec_post_transfer_view");CHKERRQ(ierr);
/* the exact post adaptivity field */
ierr = DMCreateGlobalVector(postForest,&postVecExact);CHKERRQ(ierr);
ierr = DMProjectFunction(postForest,0.,funcs,ctxs,INSERT_VALUES,postVecExact);CHKERRQ(ierr);
ierr = VecViewFromOptions(postVecExact,NULL,"-vec_post_exact_view");CHKERRQ(ierr);
/* compare */
ierr = VecAXPY(postVecTransfer,-1.,postVecExact);CHKERRQ(ierr);
ierr = VecViewFromOptions(postVecTransfer,NULL,"-vec_diff_view");CHKERRQ(ierr);
ierr = VecNorm(postVecTransfer,NORM_2,&diff);CHKERRQ(ierr);
/* output */
if (diff < tol) {
ierr = PetscPrintf(comm,"DMForestTransferVec() passes.\n");CHKERRQ(ierr);
} else {
ierr = PetscPrintf(comm,"DMForestTransferVec() fails with error %g and tolerance %g\n",diff,tol);CHKERRQ(ierr);
}
/* disconnect preForest from postForest */
ierr = DMForestSetAdaptivityForest(postForest,NULL);CHKERRQ(ierr);
ierr = PetscObjectGetReference((PetscObject)preForest,&postCount);CHKERRQ(ierr);
if (postCount != preCount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Adaptation not memory neutral: reference count increase from %d to %d\n",preCount,postCount);
/* cleanup */
ierr = VecDestroy(&postVecExact);CHKERRQ(ierr);
ierr = VecDestroy(&postVecTransfer);CHKERRQ(ierr);
ierr = DMDestroy(&postForest);CHKERRQ(ierr);
ierr = VecDestroy(&preVec);CHKERRQ(ierr);
ierr = DMDestroy(&preForest);CHKERRQ(ierr);
ierr = DMDestroy(&base);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc, char **argv)
{
AppCtx ctx;
PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
DM dm;
PetscFE fe;
DMInterpolationInfo interpolator;
Vec lu, fieldVals;
PetscScalar *vals;
const PetscScalar *ivals, *vcoords;
PetscReal *pcoords;
PetscBool pointsAllProcs=PETSC_TRUE;
PetscInt spaceDim, c, Np, p;
PetscMPIInt rank, size;
PetscViewer selfviewer;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
ierr = ProcessOptions(PETSC_COMM_WORLD, &ctx);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &ctx, &dm);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm, &spaceDim);CHKERRQ(ierr);
ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD, &size);CHKERRQ(ierr);
/* Create points */
ierr = CreatePoints(dm, &Np, &pcoords, &pointsAllProcs, &ctx);CHKERRQ(ierr);
/* Create interpolator */
ierr = DMInterpolationCreate(PETSC_COMM_WORLD, &interpolator);CHKERRQ(ierr);
ierr = DMInterpolationSetDim(interpolator, spaceDim);CHKERRQ(ierr);
ierr = DMInterpolationAddPoints(interpolator, Np, pcoords);CHKERRQ(ierr);
ierr = DMInterpolationSetUp(interpolator, dm, pointsAllProcs);CHKERRQ(ierr);
/* Check locations */
for (c = 0; c < interpolator->n; ++c) {
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "[%d]Point %D is in Cell %D\n", rank, c, interpolator->cells[c]);CHKERRQ(ierr);
}
ierr = PetscSynchronizedFlush(PETSC_COMM_WORLD, NULL);CHKERRQ(ierr);
ierr = VecView(interpolator->coords, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
/* Setup Discretization */
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), ctx.dim, Nc, ctx.cellSimplex, NULL, -1, &fe);CHKERRQ(ierr);
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
/* Create function */
ierr = PetscCalloc2(Nc, &funcs, Nc, &vals);CHKERRQ(ierr);
for (c = 0; c < Nc; ++c) funcs[c] = linear;
ierr = DMGetLocalVector(dm, &lu);CHKERRQ(ierr);
ierr = DMProjectFunctionLocal(dm, 0.0, funcs, NULL, INSERT_ALL_VALUES, lu);CHKERRQ(ierr);
ierr = PetscViewerASCIIPushSynchronized(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = PetscViewerGetSubViewer(PETSC_VIEWER_STDOUT_WORLD,PETSC_COMM_SELF,&selfviewer);CHKERRQ(ierr);
ierr = PetscViewerASCIIPrintf(selfviewer, "[%d]solution\n", rank);CHKERRQ(ierr);
ierr = VecView(lu,selfviewer);CHKERRQ(ierr);
ierr = PetscViewerRestoreSubViewer(PETSC_VIEWER_STDOUT_WORLD,PETSC_COMM_SELF,&selfviewer);CHKERRQ(ierr);
ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = PetscViewerASCIIPopSynchronized(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
/* Check interpolant */
ierr = VecCreateSeq(PETSC_COMM_SELF, interpolator->n * Nc, &fieldVals);CHKERRQ(ierr);
ierr = DMInterpolationSetDof(interpolator, Nc);CHKERRQ(ierr);
ierr = DMInterpolationEvaluate(interpolator, dm, lu, fieldVals);CHKERRQ(ierr);
for (p = 0; p < size; ++p) {
if (p == rank) {
ierr = PetscPrintf(PETSC_COMM_SELF, "[%d]Field values\n", rank);CHKERRQ(ierr);
ierr = VecView(fieldVals, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
}
ierr = PetscBarrier((PetscObject) dm);CHKERRQ(ierr);
}
ierr = VecGetArrayRead(interpolator->coords, &vcoords);CHKERRQ(ierr);
ierr = VecGetArrayRead(fieldVals, &ivals);CHKERRQ(ierr);
for (p = 0; p < interpolator->n; ++p) {
for (c = 0; c < Nc; ++c) {
#if defined(PETSC_USE_COMPLEX)
PetscReal vcoordsReal[3];
PetscInt i;
for (i = 0; i < spaceDim; i++) vcoordsReal[i] = PetscRealPart(vcoords[p * spaceDim + i]);
#else
const PetscReal *vcoordsReal = &vcoords[p*spaceDim];
#endif
(*funcs[c])(ctx.dim, 0.0, vcoordsReal, 1, vals, NULL);
if (PetscAbsScalar(ivals[p*Nc+c] - vals[c]) > PETSC_SQRT_MACHINE_EPSILON)
SETERRQ4(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid interpolated value %g != %g (%D, %D)", (double) PetscRealPart(ivals[p*Nc+c]), (double) PetscRealPart(vals[c]), p, c);
}
}
ierr = VecRestoreArrayRead(interpolator->coords, &vcoords);CHKERRQ(ierr);
ierr = VecRestoreArrayRead(fieldVals, &ivals);CHKERRQ(ierr);
/* Cleanup */
ierr = PetscFree(pcoords);CHKERRQ(ierr);
ierr = PetscFree2(funcs, vals);CHKERRQ(ierr);
ierr = VecDestroy(&fieldVals);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(dm, &lu);CHKERRQ(ierr);
ierr = DMInterpolationDestroy(&interpolator);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}