Actual source code: ex87.c
1: #include <petscksp.h>
2: #include <petsc/private/petscimpl.h>
4: static char help[] = "Solves a saddle-point linear system using PCHPDDM.\n\n";
6: static PetscErrorCode MatAndISLoad(const char *prefix, const char *identifier, Mat A, IS is, Mat N, PetscMPIInt rank, PetscMPIInt size);
8: int main(int argc, char **args)
9: {
10: Vec b, x; /* computed solution and RHS */
11: Mat A[4], aux[2], S; /* linear system matrix */
12: KSP ksp, *subksp; /* linear solver context */
13: PC pc;
14: IS is[2];
15: PetscMPIInt rank, size;
16: PetscInt m, M, n, N, id = 0;
17: PetscViewer viewer;
18: const char *const system[] = {"elasticity", "stokes"};
19: /* "elasticity":
20: * 2D linear elasticity with rubber-like and steel-like material coefficients, i.e., Poisson's ratio \in {0.4999, 0.35} and Young's modulus \in {0.01 GPa, 200.0 GPa}
21: * discretized by order 2 (resp. 0) Lagrange finite elements in displacements (resp. pressure) on a triangle mesh
22: * "stokes":
23: * 2D lid-driven cavity with constant viscosity
24: * discretized by order 2 (resp. 1) Lagrange finite elements, i.e., lowest-order Taylor--Hood finite elements, in velocities (resp. pressure) on a triangle mesh
25: * if the option -empty_A11 is not set (or set to false), a pressure with a zero mean-value is computed
26: */
27: char dir[PETSC_MAX_PATH_LEN], prefix[PETSC_MAX_PATH_LEN];
28: PetscBool flg[4] = {PETSC_FALSE, PETSC_FALSE, PETSC_FALSE, PETSC_FALSE};
30: PetscFunctionBeginUser;
31: PetscCall(PetscInitialize(&argc, &args, NULL, help));
32: PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
33: PetscCheck(size == 4, PETSC_COMM_WORLD, PETSC_ERR_USER, "This example requires 4 processes");
34: PetscCall(PetscOptionsGetEList(NULL, NULL, "-system", system, PETSC_STATIC_ARRAY_LENGTH(system), &id, NULL));
35: if (id == 1) PetscCall(PetscOptionsGetBool(NULL, NULL, "-empty_A11", flg, NULL));
36: PetscCallMPI(MPI_Comm_rank(PETSC_COMM_WORLD, &rank));
37: for (PetscInt i = 0; i < 2; ++i) {
38: PetscCall(MatCreate(PETSC_COMM_WORLD, A + (i ? 3 : 0)));
39: PetscCall(ISCreate(PETSC_COMM_SELF, is + i));
40: PetscCall(MatCreate(PETSC_COMM_SELF, aux + i));
41: }
42: PetscCall(PetscStrncpy(dir, ".", sizeof(dir)));
43: PetscCall(PetscOptionsGetString(NULL, NULL, "-load_dir", dir, sizeof(dir), NULL));
44: /* loading matrices and auxiliary data for the diagonal blocks */
45: PetscCall(PetscSNPrintf(prefix, sizeof(prefix), "%s/%s", dir, id == 1 ? "B" : "A"));
46: PetscCall(MatAndISLoad(prefix, "00", A[0], is[0], aux[0], rank, size));
47: PetscCall(MatAndISLoad(prefix, "11", A[3], is[1], aux[1], rank, size));
48: /* loading the off-diagonal block with a coherent row/column layout */
49: PetscCall(MatCreate(PETSC_COMM_WORLD, A + 2));
50: PetscCall(MatGetLocalSize(A[0], &n, NULL));
51: PetscCall(MatGetSize(A[0], &N, NULL));
52: PetscCall(MatGetLocalSize(A[3], &m, NULL));
53: PetscCall(MatGetSize(A[3], &M, NULL));
54: PetscCall(MatSetSizes(A[2], m, n, M, N));
55: PetscCall(MatSetUp(A[2]));
56: PetscCall(PetscSNPrintf(prefix, sizeof(prefix), "%s/%s10.dat", dir, id == 1 ? "B" : "A"));
57: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, prefix, FILE_MODE_READ, &viewer));
58: PetscCall(MatLoad(A[2], viewer));
59: PetscCall(PetscViewerDestroy(&viewer));
60: /* transposing the off-diagonal block */
61: PetscCall(PetscOptionsGetBool(NULL, NULL, "-transpose", flg + 1, NULL));
62: PetscCall(PetscOptionsGetBool(NULL, NULL, "-permute", flg + 2, NULL));
63: PetscCall(PetscOptionsGetBool(NULL, NULL, "-explicit", flg + 3, NULL));
64: if (flg[1]) {
65: if (flg[2]) {
66: PetscCall(MatTranspose(A[2], MAT_INITIAL_MATRIX, A + 1));
67: PetscCall(MatDestroy(A + 2));
68: }
69: if (!flg[3]) PetscCall(MatCreateTranspose(A[2 - flg[2]], A + 1 + flg[2]));
70: else PetscCall(MatTranspose(A[2 - flg[2]], MAT_INITIAL_MATRIX, A + 1 + flg[2]));
71: } else {
72: if (flg[2]) {
73: PetscCall(MatHermitianTranspose(A[2], MAT_INITIAL_MATRIX, A + 1));
74: PetscCall(MatDestroy(A + 2));
75: }
76: if (!flg[3]) PetscCall(MatCreateHermitianTranspose(A[2 - flg[2]], A + 1 + flg[2]));
77: else PetscCall(MatHermitianTranspose(A[2 - flg[2]], MAT_INITIAL_MATRIX, A + 1 + flg[2]));
78: }
79: if (flg[0]) PetscCall(MatDestroy(A + 3));
80: else {
81: PetscCall(PetscOptionsGetBool(NULL, NULL, "-diagonal_A11", flg, NULL));
82: if (flg[0]) {
83: PetscCall(MatDestroy(A + 3));
84: PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD, m, m, M, M, PETSC_SMALL, A + 3));
85: }
86: }
87: /* global coefficient matrix */
88: PetscCall(MatCreateNest(PETSC_COMM_WORLD, 2, NULL, 2, NULL, A, &S));
89: PetscCall(KSPCreate(PETSC_COMM_WORLD, &ksp));
90: PetscCall(KSPSetOperators(ksp, S, S));
91: PetscCall(KSPGetPC(ksp, &pc));
92: /* outer preconditioner */
93: PetscCall(PCSetType(pc, PCFIELDSPLIT));
94: PetscCall(PCFieldSplitSetType(pc, PC_COMPOSITE_SCHUR));
95: PetscCall(PCFieldSplitSetSchurPre(pc, PC_FIELDSPLIT_SCHUR_PRE_SELF, NULL));
96: PetscCall(PCSetFromOptions(pc));
97: PetscCall(PCSetUp(pc));
98: PetscCall(PCFieldSplitGetSubKSP(pc, &n, &subksp));
99: PetscCall(KSPGetPC(subksp[0], &pc));
100: /* inner preconditioner associated to top-left block */
101: #if defined(PETSC_HAVE_HPDDM) && defined(PETSC_HAVE_DYNAMIC_LIBRARIES) && defined(PETSC_USE_SHARED_LIBRARIES)
102: PetscCall(PCSetType(pc, PCHPDDM));
103: PetscCall(PCHPDDMSetAuxiliaryMat(pc, is[0], aux[0], NULL, NULL));
104: #endif
105: PetscCall(PCSetFromOptions(pc));
106: PetscCall(KSPGetPC(subksp[1], &pc));
107: /* inner preconditioner associated to Schur complement, which will be set internally to a PCKSP */
108: #if defined(PETSC_HAVE_HPDDM) && defined(PETSC_HAVE_DYNAMIC_LIBRARIES) && defined(PETSC_USE_SHARED_LIBRARIES)
109: PetscCall(PCSetType(pc, PCHPDDM));
110: if (!flg[0]) PetscCall(PCHPDDMSetAuxiliaryMat(pc, is[1], aux[1], NULL, NULL));
111: #endif
112: PetscCall(PCSetFromOptions(pc));
113: PetscCall(PetscFree(subksp));
114: PetscCall(KSPSetFromOptions(ksp));
115: PetscCall(MatCreateVecs(S, &b, &x));
116: PetscCall(PetscSNPrintf(prefix, sizeof(prefix), "%s/rhs_%s.dat", dir, id == 1 ? "B" : "A"));
117: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, prefix, FILE_MODE_READ, &viewer));
118: PetscCall(VecLoad(b, viewer));
119: PetscCall(PetscViewerDestroy(&viewer));
120: PetscCall(KSPSolve(ksp, b, x));
121: flg[1] = PETSC_FALSE;
122: PetscCall(PetscOptionsGetBool(NULL, NULL, "-viewer", flg + 1, NULL));
123: if (flg[1]) PetscCall(PCView(pc, PETSC_VIEWER_STDOUT_WORLD));
124: flg[1] = PETSC_FALSE;
125: PetscCall(PetscOptionsGetBool(NULL, NULL, "-successive_solves", flg + 1, NULL));
126: if (flg[1]) {
127: KSPConvergedReason reason[2];
128: PetscInt iterations[2];
129: PetscCall(KSPGetConvergedReason(ksp, reason));
130: PetscCall(KSPGetTotalIterations(ksp, iterations));
131: PetscCall(KSPMonitorCancel(ksp));
132: PetscCall(PetscOptionsClearValue(NULL, "-ksp_monitor"));
133: PetscCall(PetscObjectStateIncrease((PetscObject)S));
134: PetscCall(KSPSetUp(ksp));
135: PetscCall(KSPGetPC(ksp, &pc));
136: PetscCall(PCFieldSplitGetSubKSP(pc, &n, &subksp));
137: PetscCall(KSPGetPC(subksp[0], &pc));
138: #if defined(PETSC_HAVE_HPDDM) && defined(PETSC_HAVE_DYNAMIC_LIBRARIES) && defined(PETSC_USE_SHARED_LIBRARIES)
139: PetscCall(PCHPDDMSetAuxiliaryMat(pc, is[0], aux[0], NULL, NULL));
140: #endif
141: PetscCall(PCSetFromOptions(pc));
142: PetscCall(KSPGetPC(subksp[1], &pc));
143: #if defined(PETSC_HAVE_HPDDM) && defined(PETSC_HAVE_DYNAMIC_LIBRARIES) && defined(PETSC_USE_SHARED_LIBRARIES)
144: if (!flg[0]) PetscCall(PCHPDDMSetAuxiliaryMat(pc, is[1], aux[1], NULL, NULL));
145: #endif
146: PetscCall(PCSetFromOptions(pc));
147: PetscCall(PetscFree(subksp));
148: PetscCall(KSPSolve(ksp, b, x));
149: PetscCall(KSPGetConvergedReason(ksp, reason + 1));
150: PetscCall(KSPGetTotalIterations(ksp, iterations + 1));
151: iterations[1] -= iterations[0];
152: PetscCheck(reason[0] == reason[1] && PetscAbs(iterations[0] - iterations[1]) <= 3, PetscObjectComm((PetscObject)ksp), PETSC_ERR_PLIB, "Successive calls to KSPSolve() did not converge for the same reason (%s v. %s) or with the same number of iterations (+/- 3, %" PetscInt_FMT " v. %" PetscInt_FMT ")", KSPConvergedReasons[reason[0]], KSPConvergedReasons[reason[1]], iterations[0], iterations[1]);
153: }
154: PetscCall(VecDestroy(&x));
155: PetscCall(VecDestroy(&b));
156: PetscCall(KSPDestroy(&ksp));
157: PetscCall(MatDestroy(&S));
158: PetscCall(MatDestroy(A + 1));
159: PetscCall(MatDestroy(A + 2));
160: for (PetscInt i = 0; i < 2; ++i) {
161: PetscCall(MatDestroy(A + (i ? 3 : 0)));
162: PetscCall(MatDestroy(aux + i));
163: PetscCall(ISDestroy(is + i));
164: }
165: PetscCall(PetscFinalize());
166: return 0;
167: }
169: PetscErrorCode MatAndISLoad(const char *prefix, const char *identifier, Mat A, IS is, Mat aux, PetscMPIInt rank, PetscMPIInt size)
170: {
171: IS sizes;
172: const PetscInt *idx;
173: PetscViewer viewer;
174: char name[PETSC_MAX_PATH_LEN];
176: PetscFunctionBeginUser;
177: PetscCall(PetscSNPrintf(name, sizeof(name), "%s%s_sizes_%d_%d.dat", prefix, identifier, rank, size));
178: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_SELF, name, FILE_MODE_READ, &viewer));
179: PetscCall(ISCreate(PETSC_COMM_SELF, &sizes));
180: PetscCall(ISLoad(sizes, viewer));
181: PetscCall(ISGetIndices(sizes, &idx));
182: PetscCall(MatSetSizes(A, idx[0], idx[1], idx[2], idx[3]));
183: PetscCall(MatSetUp(A));
184: PetscCall(ISRestoreIndices(sizes, &idx));
185: PetscCall(ISDestroy(&sizes));
186: PetscCall(PetscViewerDestroy(&viewer));
187: PetscCall(PetscSNPrintf(name, sizeof(name), "%s%s.dat", prefix, identifier));
188: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD, name, FILE_MODE_READ, &viewer));
189: PetscCall(MatLoad(A, viewer));
190: PetscCall(PetscViewerDestroy(&viewer));
191: PetscCall(PetscSNPrintf(name, sizeof(name), "%s%s_is_%d_%d.dat", prefix, identifier, rank, size));
192: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_SELF, name, FILE_MODE_READ, &viewer));
193: PetscCall(ISLoad(is, viewer));
194: PetscCall(PetscViewerDestroy(&viewer));
195: PetscCall(PetscSNPrintf(name, sizeof(name), "%s%s_aux_%d_%d.dat", prefix, identifier, rank, size));
196: PetscCall(PetscViewerBinaryOpen(PETSC_COMM_SELF, name, FILE_MODE_READ, &viewer));
197: PetscCall(MatLoad(aux, viewer));
198: PetscCall(PetscViewerDestroy(&viewer));
199: PetscFunctionReturn(PETSC_SUCCESS);
200: }
202: /*TEST
204: testset:
205: requires: datafilespath hpddm slepc double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
206: nsize: 4
207: args: -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO -ksp_monitor -ksp_rtol 1e-4 -fieldsplit_ksp_max_it 100 -fieldsplit_pc_hpddm_levels_1_eps_nev 10 -fieldsplit_pc_hpddm_levels_1_st_share_sub_ksp -fieldsplit_pc_hpddm_has_neumann -fieldsplit_pc_hpddm_define_subdomains -fieldsplit_1_pc_hpddm_schur_precondition geneo -fieldsplit_pc_hpddm_coarse_pc_type redundant -fieldsplit_pc_hpddm_coarse_redundant_pc_type cholesky -fieldsplit_pc_hpddm_levels_1_sub_pc_type lu -fieldsplit_ksp_type fgmres -ksp_type fgmres -ksp_max_it 10 -fieldsplit_1_pc_hpddm_coarse_correction balanced -fieldsplit_1_pc_hpddm_levels_1_eps_gen_non_hermitian -fieldsplit_1_pc_hpddm_coarse_p 2
208: test:
209: requires: mumps
210: suffix: 1
211: args: -viewer -system {{elasticity stokes}separate output} -fieldsplit_1_pc_hpddm_ksp_pc_side left -fieldsplit_1_pc_hpddm_levels_1_sub_mat_mumps_icntl_26 1
212: filter: grep -v -e "action of " -e " " -e "block size" -e "total: nonzeros=" -e "using I-node" -e "aij" -e "transpose" -e "diagonal" -e "total number of" -e " rows="
213: test:
214: requires: mumps
215: suffix: 2
216: output_file: output/ex87_1_system-stokes.out
217: args: -viewer -system stokes -empty_A11 -transpose {{false true}shared output} -permute {{false true}shared output} -fieldsplit_1_pc_hpddm_ksp_pc_side right -fieldsplit_1_pc_hpddm_coarse_mat_type baij -fieldsplit_1_pc_hpddm_levels_1_sub_mat_mumps_icntl_26 1 -explicit {{false true}shared output}
218: filter: grep -v -e "action of " -e " " -e "block size" -e "total: nonzeros=" -e "using I-node" -e "aij" -e "transpose" -e "diagonal" -e "total number of" -e " rows=" | sed -e "s/ right preconditioning/ left preconditioning/g" -e "s/ using UNPRECONDITIONED/ using PRECONDITIONED/g"
219: test:
220: suffix: 1_petsc
221: args: -system {{elasticity stokes}separate output} -fieldsplit_1_pc_hpddm_ksp_pc_side left -fieldsplit_1_pc_hpddm_levels_1_sub_pc_factor_mat_solver_type petsc -fieldsplit_1_pc_hpddm_levels_1_eps_threshold 0.3 -permute
222: test:
223: suffix: 2_petsc
224: output_file: output/ex87_1_petsc_system-stokes.out
225: args: -system stokes -empty_A11 -transpose -fieldsplit_1_pc_hpddm_ksp_pc_side right -fieldsplit_1_pc_hpddm_levels_1_sub_pc_factor_mat_solver_type petsc -fieldsplit_1_pc_hpddm_coarse_mat_type baij -fieldsplit_1_pc_hpddm_levels_1_eps_threshold 0.3 -fieldsplit_1_pc_hpddm_levels_1_sub_pc_factor_shift_type inblocks -successive_solves
226: filter: sed -e "s/type: transpose/type: hermitiantranspose/g"
227: test:
228: suffix: threshold
229: output_file: output/ex87_1_petsc_system-elasticity.out
230: args: -fieldsplit_1_pc_hpddm_ksp_pc_side left -fieldsplit_1_pc_hpddm_levels_1_eps_threshold 0.2 -fieldsplit_1_pc_hpddm_coarse_mat_type {{baij sbaij}shared output} -successive_solves
231: testset:
232: requires: datafilespath hpddm slepc double !complex !defined(PETSC_USE_64BIT_INDICES) defined(PETSC_HAVE_DYNAMIC_LIBRARIES) defined(PETSC_USE_SHARED_LIBRARIES)
233: nsize: 4
234: args: -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO -ksp_monitor -ksp_rtol 1e-4 -fieldsplit_ksp_max_it 100 -fieldsplit_pc_hpddm_levels_1_st_share_sub_ksp -fieldsplit_pc_hpddm_define_subdomains -fieldsplit_1_pc_hpddm_schur_precondition geneo -fieldsplit_pc_hpddm_coarse_pc_type redundant -fieldsplit_pc_hpddm_coarse_redundant_pc_type cholesky -fieldsplit_pc_hpddm_levels_1_sub_pc_type lu -fieldsplit_ksp_type fgmres -ksp_type fgmres -ksp_max_it 10 -fieldsplit_1_pc_hpddm_coarse_correction balanced -fieldsplit_1_pc_hpddm_levels_1_eps_gen_non_hermitian -fieldsplit_1_pc_hpddm_coarse_p 2 -system stokes -fieldsplit_1_pc_hpddm_ksp_pc_side left -fieldsplit_1_pc_hpddm_levels_1_sub_pc_factor_mat_solver_type petsc -fieldsplit_1_pc_hpddm_levels_1_eps_threshold 0.3
235: test:
236: suffix: diagonal
237: output_file: output/ex87_1_petsc_system-stokes.out
238: args: -fieldsplit_pc_hpddm_levels_1_eps_nev 10 -fieldsplit_0_pc_hpddm_has_neumann -diagonal_A11 {{false true}shared output}
239: test:
240: suffix: harmonic_overlap_2
241: output_file: output/ex87_1_petsc_system-stokes.out
242: args: -fieldsplit_0_pc_hpddm_harmonic_overlap 2 -fieldsplit_0_pc_hpddm_levels_1_svd_nsv 20 -diagonal_A11
244: test:
245: requires: datafilespath double !complex !defined(PETSC_USE_64BIT_INDICES) !hpddm !memkind
246: nsize: 4
247: suffix: selfp
248: output_file: output/ex41_1.out
249: filter: grep -v "CONVERGED_RTOL iterations"
250: args: -load_dir ${DATAFILESPATH}/matrices/hpddm/GENEO -system stokes -ksp_rtol 1e-4 -ksp_converged_reason -ksp_max_it 30 -pc_type fieldsplit -pc_fieldsplit_type schur -fieldsplit_ksp_type preonly -pc_fieldsplit_schur_precondition selfp -fieldsplit_pc_type bjacobi -fieldsplit_sub_pc_type lu -transpose {{false true}shared output} -fieldsplit_1_mat_schur_complement_ainv_type lump
252: TEST*/