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); }
int main(int argc, char *argv[]) { string path; GuiPlanner *gui; Model *m = NULL; Geom *g = NULL; Problem *prob; if (argc < 2) { cout << "Usage: " << argv[0] << " <problem path>\n"; exit(-1); } path = string(argv[1])+"/"; if (!is_directory(path)) { cout << "Error: Directory does not exist\n"; exit(-1); } SetupProblem(m,g,path); prob = new Problem(g,m,path); gui = new GuiPlanner(new RenderIv(new Scene(prob, path), path), new RRTConCon(prob)); gui->Start(); return 0; }
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); }
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); }
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); }
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; }
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); }