1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <petscblaslapack.h> 4 5 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt*,PetscInt,PetscBT,PetscInt*,PetscInt*,PetscInt*); 6 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat,PetscBool,MatReuse,Mat*); 7 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC,Vec,Vec); 8 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC,Vec,Vec); 9 10 #undef __FUNCT__ 11 #define __FUNCT__ "PCBDDCMumpsCorrectionSolve" 12 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC pc, Vec rhs, Vec sol) 13 { 14 PCBDDCReuseMumps ctx; 15 PetscInt ival; 16 PetscErrorCode ierr; 17 18 PetscFunctionBegin; 19 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 20 #if defined(PETSC_HAVE_MUMPS) 21 ierr = MatMumpsGetIcntl(ctx->F,26,&ival);CHKERRQ(ierr); 22 ierr = MatMumpsSetIcntl(ctx->F,26,-1);CHKERRQ(ierr); 23 #endif 24 ierr = VecScatterBegin(ctx->correction_scatter_R,rhs,ctx->rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 25 ierr = VecScatterEnd(ctx->correction_scatter_R,rhs,ctx->rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 26 ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 27 ierr = VecScatterBegin(ctx->correction_scatter_R,ctx->sol,sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 28 ierr = VecScatterEnd(ctx->correction_scatter_R,ctx->sol,sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 29 #if defined(PETSC_HAVE_MUMPS) 30 ierr = MatMumpsSetIcntl(ctx->F,26,ival);CHKERRQ(ierr); 31 #endif 32 PetscFunctionReturn(0); 33 } 34 35 #undef __FUNCT__ 36 #define __FUNCT__ "PCBDDCReuseMumpsReset" 37 static PetscErrorCode PCBDDCReuseMumpsReset(PCBDDCReuseMumps reuse) 38 { 39 PetscErrorCode ierr; 40 41 PetscFunctionBegin; 42 ierr = MatDestroy(&reuse->F);CHKERRQ(ierr); 43 ierr = MatDestroy(&reuse->S_inv);CHKERRQ(ierr); 44 ierr = VecDestroy(&reuse->sol);CHKERRQ(ierr); 45 ierr = VecDestroy(&reuse->rhs);CHKERRQ(ierr); 46 ierr = PCDestroy(&reuse->interior_solver);CHKERRQ(ierr); 47 ierr = PCDestroy(&reuse->correction_solver);CHKERRQ(ierr); 48 ierr = VecScatterDestroy(&reuse->correction_scatter_B);CHKERRQ(ierr); 49 ierr = VecScatterDestroy(&reuse->correction_scatter_R);CHKERRQ(ierr); 50 PetscFunctionReturn(0); 51 } 52 53 #undef __FUNCT__ 54 #define __FUNCT__ "PCBDDCMumpsInteriorSolve" 55 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC pc, Vec rhs, Vec sol) 56 { 57 PCBDDCReuseMumps ctx; 58 PetscScalar *array,*array_mumps; 59 PetscInt ival; 60 PetscErrorCode ierr; 61 62 PetscFunctionBegin; 63 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 64 #if defined(PETSC_HAVE_MUMPS) 65 ierr = MatMumpsGetIcntl(ctx->F,26,&ival);CHKERRQ(ierr); 66 ierr = MatMumpsSetIcntl(ctx->F,26,0);CHKERRQ(ierr); 67 #endif 68 /* copy rhs into factored matrix workspace (can it be avoided?, MatSolve_MUMPS has another copy b->x internally) */ 69 ierr = VecGetArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 70 ierr = VecGetArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 71 ierr = PetscMemcpy(array_mumps,array,ctx->n_I*sizeof(PetscScalar));CHKERRQ(ierr); 72 ierr = VecRestoreArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 73 ierr = VecRestoreArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 74 75 ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 76 77 /* get back data to caller worskpace */ 78 ierr = VecGetArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 79 ierr = VecGetArray(sol,&array);CHKERRQ(ierr); 80 ierr = PetscMemcpy(array,array_mumps,ctx->n_I*sizeof(PetscScalar));CHKERRQ(ierr); 81 ierr = VecRestoreArray(sol,&array);CHKERRQ(ierr); 82 ierr = VecRestoreArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 83 #if defined(PETSC_HAVE_MUMPS) 84 ierr = MatMumpsSetIcntl(ctx->F,26,ival);CHKERRQ(ierr); 85 #endif 86 PetscFunctionReturn(0); 87 } 88 89 #undef __FUNCT__ 90 #define __FUNCT__ "PCBDDCComputeExplicitSchur" 91 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 92 { 93 Mat B, C, D, Bd, Cd, AinvBd; 94 KSP ksp; 95 PC pc; 96 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 97 PetscReal fill = 2.0; 98 PetscInt n_I; 99 PetscMPIInt size; 100 PetscErrorCode ierr; 101 102 PetscFunctionBegin; 103 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 104 if (size != 1) { 105 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 106 } 107 if (reuse == MAT_REUSE_MATRIX) { 108 PetscBool Sdense; 109 110 ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr); 111 if (!Sdense) { 112 SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should dense"); 113 } 114 } 115 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 116 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 117 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 118 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 119 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 120 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 121 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 122 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 123 ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr); 124 if (n_I) { 125 if (!Bdense) { 126 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 127 } else { 128 Bd = B; 129 } 130 131 if (isLU || isILU || isCHOL) { 132 Mat fact; 133 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 134 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 135 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 136 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 137 } else { 138 PetscBool ex = PETSC_TRUE; 139 140 if (ex) { 141 Mat Ainvd; 142 143 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 144 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 145 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 146 } else { 147 Vec sol,rhs; 148 PetscScalar *arrayrhs,*arraysol; 149 PetscInt i,nrhs,n; 150 151 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 152 ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr); 153 ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr); 154 ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr); 155 ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr); 156 ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr); 157 for (i=0;i<nrhs;i++) { 158 ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr); 159 ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr); 160 ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr); 161 ierr = VecResetArray(rhs);CHKERRQ(ierr); 162 ierr = VecResetArray(sol);CHKERRQ(ierr); 163 } 164 ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr); 165 ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr); 166 } 167 } 168 if (!Bdense & !issym) { 169 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 170 } 171 172 if (!issym) { 173 if (!Cdense) { 174 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 175 } else { 176 Cd = C; 177 } 178 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 179 if (!Cdense) { 180 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 181 } 182 } else { 183 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 184 if (!Bdense) { 185 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 186 } 187 } 188 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 189 } 190 191 if (D) { 192 Mat Dd; 193 PetscBool Ddense; 194 195 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 196 if (!Ddense) { 197 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 198 } else { 199 Dd = D; 200 } 201 if (n_I) { 202 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 203 } else { 204 if (reuse == MAT_INITIAL_MATRIX) { 205 ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr); 206 } else { 207 ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 208 } 209 } 210 if (!Ddense) { 211 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 212 } 213 } else { 214 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 215 } 216 PetscFunctionReturn(0); 217 } 218 219 #undef __FUNCT__ 220 #define __FUNCT__ "PCBDDCSubSchursSetUp" 221 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, Mat Ain, Mat Sin, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, PetscBool faster_deluxe, PetscBool compute_Stilda, PetscBool use_edges, PetscBool use_faces) 222 { 223 Mat A_II,A_IB,A_BI,A_BB,AE_II; 224 Mat S_all,S_all_inv; 225 Mat global_schur_subsets,work_mat; 226 Mat S_Ej_tilda_all,S_Ej_inv_all; 227 ISLocalToGlobalMapping l2gmap_subsets; 228 IS is_I,is_I_layer,temp_is; 229 PetscInt *nnz,*all_local_idx_G,*all_local_idx_N; 230 PetscInt *auxnum1,*auxnum2,*all_local_idx_G_rep; 231 PetscInt i,subset_size,max_subset_size; 232 PetscInt extra,local_size,global_size; 233 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 234 PetscScalar *Bwork; 235 PetscSubcomm subcomm; 236 PetscMPIInt color,rank; 237 MPI_Comm comm_n; 238 PetscErrorCode ierr; 239 240 PetscFunctionBegin; 241 /* update info in sub_schurs */ 242 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 243 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 244 if (Ain) { 245 PetscBool isseqaij; 246 247 ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 248 if (isseqaij) { 249 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 250 sub_schurs->A = Ain; 251 } else { /* SeqBAIJ matrices does not support symmetry checking, SeqSBAIJ does not support MatPermute */ 252 ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 253 } 254 } 255 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 256 sub_schurs->S = Sin; 257 if (sub_schurs->use_mumps) { 258 sub_schurs->use_mumps = (PetscBool)(!!sub_schurs->A); 259 } 260 261 /* preliminary checks */ 262 if (!sub_schurs->use_mumps && compute_Stilda) { 263 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS"); 264 } 265 /* determine if we are dealing with hermitian positive definite problems */ 266 sub_schurs->is_hermitian = PETSC_FALSE; 267 sub_schurs->is_posdef = PETSC_FALSE; 268 if (sub_schurs->A) { 269 PetscInt lsize; 270 271 ierr = MatGetSize(sub_schurs->A,&lsize,NULL);CHKERRQ(ierr); 272 if (lsize) { 273 ierr = MatIsHermitian(sub_schurs->A,0.0,&sub_schurs->is_hermitian);CHKERRQ(ierr); 274 if (sub_schurs->is_hermitian) { 275 PetscScalar val; 276 Vec vec1,vec2; 277 278 ierr = MatCreateVecs(sub_schurs->A,&vec1,&vec2);CHKERRQ(ierr); 279 ierr = VecSetRandom(vec1,NULL); 280 ierr = VecCopy(vec1,vec2);CHKERRQ(ierr); 281 ierr = MatMult(sub_schurs->A,vec2,vec1);CHKERRQ(ierr); 282 ierr = VecDot(vec1,vec2,&val);CHKERRQ(ierr); 283 if (PetscRealPart(val) > 0. && PetscImaginaryPart(val) == 0.) sub_schurs->is_posdef = PETSC_TRUE; 284 ierr = VecDestroy(&vec1);CHKERRQ(ierr); 285 ierr = VecDestroy(&vec2);CHKERRQ(ierr); 286 } 287 } else { 288 sub_schurs->is_hermitian = PETSC_TRUE; 289 sub_schurs->is_posdef = PETSC_TRUE; 290 } 291 if (compute_Stilda && (!sub_schurs->is_hermitian || !sub_schurs->is_posdef)) { 292 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"General matrix pencils are not currently supported"); 293 } 294 } 295 /* restrict work on active processes */ 296 color = 0; 297 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 298 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 299 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 300 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 301 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 302 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 303 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 304 if (!sub_schurs->n_subs) { 305 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 306 PetscFunctionReturn(0); 307 } 308 309 /* get Schur complement matrices */ 310 if (!sub_schurs->use_mumps) { 311 Mat tA_IB,tA_BI,tA_BB; 312 PetscBool isseqaij; 313 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 314 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 315 if (!isseqaij) { 316 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 317 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 318 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 319 } else { 320 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 321 A_BB = tA_BB; 322 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 323 A_IB = tA_IB; 324 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 325 A_BI = tA_BI; 326 } 327 } else { 328 A_II = NULL; 329 A_IB = NULL; 330 A_BI = NULL; 331 A_BB = NULL; 332 } 333 S_all = NULL; 334 S_all_inv = NULL; 335 S_Ej_tilda_all = NULL; 336 S_Ej_inv_all = NULL; 337 338 /* determine interior problems */ 339 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 340 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 341 PetscBT touched; 342 const PetscInt* idx_B; 343 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 344 345 if (xadj == NULL || adjncy == NULL) { 346 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 347 } 348 /* get sizes */ 349 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 350 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 351 352 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 353 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 354 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 355 356 /* all boundary dofs must be skipped when adding layers */ 357 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 358 for (j=0;j<n_B;j++) { 359 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 360 } 361 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 362 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 363 364 /* add prescribed number of layers of dofs */ 365 n_local_dofs = n_B; 366 n_prev_added = n_B; 367 for (layer=0;layer<nlayers;layer++) { 368 PetscInt n_added; 369 if (n_local_dofs == n_I+n_B) break; 370 if (n_local_dofs > n_I+n_B) { 371 SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error querying layer %d. Out of bound access (%d > %d)",layer,n_local_dofs,n_I+n_B); 372 } 373 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 374 n_prev_added = n_added; 375 n_local_dofs += n_added; 376 if (!n_added) break; 377 } 378 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 379 380 /* IS for I layer dofs in original numbering */ 381 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->is_I),n_local_dofs-n_B,local_numbering+n_B,PETSC_COPY_VALUES,&is_I_layer);CHKERRQ(ierr); 382 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 383 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 384 /* IS for I layer dofs in I numbering */ 385 if (!sub_schurs->use_mumps) { 386 ISLocalToGlobalMapping ItoNmap; 387 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 388 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 389 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 390 391 /* II block */ 392 ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 393 } 394 } else { 395 PetscInt n_I; 396 397 /* IS for I dofs in original numbering */ 398 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 399 is_I_layer = sub_schurs->is_I; 400 401 /* IS for I dofs in I numbering (strided 1) */ 402 if (!sub_schurs->use_mumps) { 403 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 404 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 405 406 /* II block is the same */ 407 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 408 AE_II = A_II; 409 } 410 } 411 412 /* Get info on subset sizes and sum of all subsets sizes */ 413 max_subset_size = 0; 414 local_size = 0; 415 for (i=0;i<sub_schurs->n_subs;i++) { 416 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 417 max_subset_size = PetscMax(subset_size,max_subset_size); 418 local_size += subset_size; 419 } 420 421 /* Work arrays for local indices */ 422 extra = 0; 423 if (sub_schurs->use_mumps) { 424 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 425 } 426 ierr = PetscMalloc1(local_size+extra,&all_local_idx_N);CHKERRQ(ierr); 427 if (extra) { 428 const PetscInt *idxs; 429 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 430 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 431 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 432 } 433 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 434 ierr = PetscMalloc2(sub_schurs->n_subs,&auxnum1,sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 435 436 /* Get local indices in local numbering */ 437 local_size = 0; 438 for (i=0;i<sub_schurs->n_subs;i++) { 439 PetscInt j; 440 const PetscInt *idxs; 441 442 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 443 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 444 /* start (smallest in global ordering) and multiplicity */ 445 auxnum1[i] = idxs[0]; 446 auxnum2[i] = subset_size; 447 /* subset indices in local numbering */ 448 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 449 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 450 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 451 local_size += subset_size; 452 } 453 454 /* allocate extra workspace needed only for GETRI */ 455 Bwork = NULL; 456 pivots = NULL; 457 if (sub_schurs->n_subs && !sub_schurs->is_hermitian) { 458 PetscScalar lwork; 459 460 B_lwork = -1; 461 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 462 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 463 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 464 ierr = PetscFPTrapPop();CHKERRQ(ierr); 465 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 466 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 467 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 468 } 469 470 /* prepare parallel matrices for summing up properly schurs on subsets */ 471 ierr = PCBDDCSubsetNumbering(comm_n,sub_schurs->l2gmap,sub_schurs->n_subs,auxnum1,auxnum2,&global_size,&all_local_idx_G_rep);CHKERRQ(ierr); 472 ierr = PetscMalloc1(local_size,&all_local_idx_G);CHKERRQ(ierr); 473 local_size = 0; 474 for (i=0;i<sub_schurs->n_subs;i++) { 475 PetscInt j; 476 for (j=0;j<auxnum2[i];j++) all_local_idx_G[local_size++] = all_local_idx_G_rep[i] + j; 477 } 478 ierr = PetscFree(all_local_idx_G_rep);CHKERRQ(ierr); 479 ierr = PetscFree2(auxnum1,auxnum2);CHKERRQ(ierr); 480 ierr = ISLocalToGlobalMappingCreate(comm_n,1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr); 481 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr); 482 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 483 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 484 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 485 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 486 487 /* subset indices in local boundary numbering */ 488 if (!sub_schurs->is_Ej_all) { 489 PetscInt *all_local_idx_B; 490 491 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 492 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 493 if (subset_size != local_size) { 494 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 495 } 496 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 497 } 498 499 /* Local matrix of all local Schur on subsets (transposed) */ 500 if (!sub_schurs->S_Ej_all) { 501 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 502 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 503 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 504 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 505 } else { 506 ierr = MatZeroEntries(sub_schurs->S_Ej_all);CHKERRQ(ierr); 507 } 508 509 /* Compute Schur complements explicitly */ 510 ierr = PetscBTMemzero(sub_schurs->n_subs,sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 511 if (!sub_schurs->use_mumps) { 512 Mat S_Ej_expl; 513 PetscScalar *work; 514 PetscInt j,*dummy_idx; 515 PetscBool Sdense; 516 517 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 518 local_size = 0; 519 for (i=0;i<sub_schurs->n_subs;i++) { 520 IS is_subset_B; 521 Mat AE_EE,AE_IE,AE_EI,S_Ej; 522 523 /* subsets in original and boundary numbering */ 524 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 525 /* EE block */ 526 ierr = MatGetSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 527 /* IE block */ 528 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 529 /* EI block */ 530 if (sub_schurs->is_hermitian) { 531 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 532 } else { 533 ierr = MatGetSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 534 } 535 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 536 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 537 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 538 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 539 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 540 if (AE_II == A_II) { /* we can reuse the same ksp */ 541 KSP ksp; 542 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 543 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 544 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 545 KSP origksp,schurksp; 546 PC origpc,schurpc; 547 KSPType ksp_type; 548 PetscInt n_internal; 549 PetscBool ispcnone; 550 551 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 552 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 553 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 554 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 555 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 556 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 557 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 558 if (!ispcnone) { 559 PCType pc_type; 560 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 561 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 562 } else { 563 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 564 } 565 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 566 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 567 MatSolverPackage solver=NULL; 568 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 569 if (solver) { 570 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 571 } 572 } 573 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 574 } 575 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 576 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 577 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 578 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 579 if (Sdense) { 580 for (j=0;j<subset_size;j++) { 581 dummy_idx[j]=local_size+j; 582 } 583 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 584 } else { 585 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 586 } 587 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 588 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 589 local_size += subset_size; 590 } 591 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 592 /* free */ 593 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 594 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 595 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 596 } else { 597 Mat A,F; 598 IS is_A_all; 599 PetscScalar *work; 600 PetscInt *idxs_schur,n_I,n_I_all,*dummy_idx,size_schur,size_active_schur; 601 602 /* get working mat */ 603 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 604 if (!sub_schurs->is_dir) { 605 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr); 606 size_schur = local_size; 607 } else { 608 IS list[2]; 609 610 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&list[0]);CHKERRQ(ierr); 611 list[1] = sub_schurs->is_dir; 612 ierr = ISConcatenate(PETSC_COMM_SELF,2,list,&is_A_all);CHKERRQ(ierr); 613 ierr = ISDestroy(&list[0]);CHKERRQ(ierr); 614 ierr = ISGetLocalSize(sub_schurs->is_dir,&size_schur);CHKERRQ(ierr); 615 size_schur += local_size; 616 } 617 size_active_schur = local_size; 618 ierr = MatGetSubMatrixUnsorted(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 619 ierr = MatSetOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 620 621 if (n_I) { 622 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 623 ierr = MatSetOption(A,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 624 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 625 } else { 626 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_hermitian);CHKERRQ(ierr); 627 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 628 } 629 630 /* subsets ordered last */ 631 ierr = PetscMalloc1(size_schur,&idxs_schur);CHKERRQ(ierr); 632 for (i=0;i<size_schur;i++) { 633 idxs_schur[i] = n_I+i+1; 634 } 635 #if defined(PETSC_HAVE_MUMPS) 636 ierr = MatMumpsSetSchurIndices(F,size_schur,idxs_schur);CHKERRQ(ierr); 637 #endif 638 ierr = PetscFree(idxs_schur);CHKERRQ(ierr); 639 640 /* factorization step */ 641 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 642 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 643 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 644 } else { 645 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 646 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 647 } 648 649 /* get explicit Schur Complement computed during numeric factorization */ 650 #if defined(PETSC_HAVE_MUMPS) 651 ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr); 652 #endif 653 654 /* we can reuse the solvers if we are not using the economic version */ 655 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I_all);CHKERRQ(ierr); 656 if (n_I == n_I_all) { 657 Mat A_II; 658 PCBDDCReuseMumps msolv_ctx; 659 660 if (sub_schurs->reuse_mumps) { 661 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"This should not happen"); 662 } 663 ierr = PetscNew(&msolv_ctx);CHKERRQ(ierr); 664 msolv_ctx->n_I = n_I; 665 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 666 msolv_ctx->F = F; 667 ierr = MatCreateVecs(F,&msolv_ctx->sol,&msolv_ctx->rhs);CHKERRQ(ierr); 668 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 669 670 /* interior solver */ 671 ierr = PCCreate(PETSC_COMM_SELF,&msolv_ctx->interior_solver);CHKERRQ(ierr); 672 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 673 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 674 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 675 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCMumpsInteriorSolve);CHKERRQ(ierr); 676 677 /* correction solver */ 678 /* auxiliary scatters are needed and are created in PCBDDCSetUpLocalScatters */ 679 ierr = PCCreate(PETSC_COMM_SELF,&msolv_ctx->correction_solver);CHKERRQ(ierr); 680 ierr = PCSetOperators(msolv_ctx->correction_solver,A,A);CHKERRQ(ierr); 681 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 682 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 683 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCMumpsCorrectionSolve);CHKERRQ(ierr); 684 sub_schurs->reuse_mumps = msolv_ctx; 685 } 686 ierr = MatDestroy(&F);CHKERRQ(ierr); 687 } else { 688 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 689 } 690 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 691 ierr = MatDestroy(&A);CHKERRQ(ierr); 692 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 693 694 if (compute_Stilda) { 695 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_tilda_all);CHKERRQ(ierr); 696 ierr = MatSetSizes(S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr); 697 ierr = MatSetType(S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr); 698 ierr = MatSeqAIJSetPreallocation(S_Ej_tilda_all,0,nnz);CHKERRQ(ierr); 699 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_inv_all);CHKERRQ(ierr); 700 ierr = MatSetSizes(S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr); 701 ierr = MatSetType(S_Ej_inv_all,MATAIJ);CHKERRQ(ierr); 702 ierr = MatSeqAIJSetPreallocation(S_Ej_inv_all,0,nnz);CHKERRQ(ierr); 703 704 /* compute St^-1 */ 705 if (size_active_schur) { /* multilevel guard */ 706 PetscScalar *vals; 707 708 ierr = PetscBLASIntCast(size_active_schur,&B_N);CHKERRQ(ierr); 709 ierr = MatDuplicate(S_all,MAT_COPY_VALUES,&S_all_inv);CHKERRQ(ierr); 710 ierr = MatDenseGetArray(S_all_inv,&vals);CHKERRQ(ierr); 711 if (!sub_schurs->is_hermitian) { 712 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals,&B_N,pivots,&B_ierr)); 713 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 714 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,vals,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 715 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 716 } else { 717 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,vals,&B_N,&B_ierr)); 718 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 719 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,vals,&B_N,&B_ierr)); 720 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 721 } 722 ierr = MatDenseRestoreArray(S_all_inv,&vals);CHKERRQ(ierr); 723 } 724 } 725 726 /* S_all_inv (if any) inside PCBDDCReuseMumps */ 727 if (sub_schurs->reuse_mumps && S_all_inv) { 728 PCBDDCReuseMumps reuse_mumps = sub_schurs->reuse_mumps; 729 730 ierr = PetscObjectReference((PetscObject)S_all_inv);CHKERRQ(ierr); 731 reuse_mumps->S_inv = S_all_inv; 732 } 733 734 /* Work arrays */ 735 if (sub_schurs->n_subs == 1) { 736 ierr = PetscMalloc1(max_subset_size,&dummy_idx);CHKERRQ(ierr); 737 } else { 738 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 739 } 740 741 local_size = 0; 742 for (i=0;i<sub_schurs->n_subs;i++) { 743 Mat S_Ej; 744 IS is_E; 745 PetscInt j; 746 747 /* get S_E */ 748 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 749 if (sub_schurs->n_subs == 1) { 750 ierr = MatDenseGetArray(S_all,&work);CHKERRQ(ierr); 751 S_Ej = NULL; 752 is_E = NULL; 753 } else { 754 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,local_size,1,&is_E);CHKERRQ(ierr); 755 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej);CHKERRQ(ierr); 756 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_REUSE_MATRIX,&S_Ej);CHKERRQ(ierr); 757 } 758 /* insert S_E values */ 759 for (j=0;j<subset_size;j++) { 760 dummy_idx[j]=local_size+j; 761 } 762 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 763 764 /* if adaptivity is requested, invert S_E and insert St_E^-1 blocks */ 765 if (compute_Stilda && ((PetscBTLookup(sub_schurs->is_edge,i) && use_edges) || (!PetscBTLookup(sub_schurs->is_edge,i) && use_faces))) { 766 /* get S_E^-1 */ 767 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 768 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 769 if (!sub_schurs->is_hermitian) { 770 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr)); 771 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 772 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 773 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 774 } else { 775 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr)); 776 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 777 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr)); 778 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 779 } 780 ierr = PetscFPTrapPop();CHKERRQ(ierr); 781 ierr = MatSetValues(S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 782 783 /* get St_E^-1 */ 784 if (sub_schurs->n_subs == 1) { 785 ierr = MatDenseRestoreArray(S_all,&work);CHKERRQ(ierr); 786 ierr = MatDenseGetArray(S_all_inv,&work);CHKERRQ(ierr); 787 } else { 788 ierr = MatGetSubMatrix(S_all_inv,is_E,is_E,MAT_REUSE_MATRIX,&S_Ej);CHKERRQ(ierr); 789 } 790 ierr = MatSetValues(S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 791 if (sub_schurs->n_subs == 1) { 792 ierr = MatDenseRestoreArray(S_all_inv,&work);CHKERRQ(ierr); 793 } 794 ierr = PetscBTSet(sub_schurs->computed_Stilda_subs,i);CHKERRQ(ierr); 795 } else if (sub_schurs->n_subs == 1) { 796 ierr = MatDenseRestoreArray(S_all,&work);CHKERRQ(ierr); 797 } 798 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 799 ierr = ISDestroy(&is_E);CHKERRQ(ierr); 800 local_size += subset_size; 801 } 802 if (sub_schurs->n_subs == 1) { 803 ierr = PetscFree(dummy_idx);CHKERRQ(ierr); 804 } else { 805 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 806 } 807 } 808 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 809 ierr = PetscFree(nnz);CHKERRQ(ierr); 810 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 811 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 812 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 813 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 814 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 815 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 816 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 817 if (compute_Stilda) { 818 ierr = MatAssemblyBegin(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 819 ierr = MatAssemblyEnd(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 820 ierr = MatAssemblyBegin(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 821 ierr = MatAssemblyEnd(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 822 } 823 824 /* Global matrix of all assembled Schur on subsets */ 825 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 826 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 827 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 828 829 /* Get local part of (\sum_j S_Ej) */ 830 ierr = ISCreateGeneral(comm_n,local_size,all_local_idx_G,PETSC_OWN_POINTER,&temp_is);CHKERRQ(ierr); 831 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 832 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 833 834 /* Compute explicitly (\sum_j S_Ej)^-1 (faster scaling during PCApply, needs extra work when doing setup) */ 835 if (faster_deluxe) { 836 Mat tmpmat; 837 PetscScalar *array; 838 PetscInt cum; 839 840 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 841 cum = 0; 842 for (i=0;i<sub_schurs->n_subs;i++) { 843 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 844 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 845 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 846 if (!sub_schurs->is_hermitian) { 847 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 848 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 849 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 850 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 851 } else { 852 PetscInt j,k; 853 854 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 855 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 856 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 857 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 858 for (j=0;j<B_N;j++) { 859 for (k=j+1;k<B_N;k++) { 860 array[k*B_N+j+cum] = array[j*B_N+k+cum]; 861 } 862 } 863 } 864 ierr = PetscFPTrapPop();CHKERRQ(ierr); 865 cum += subset_size*subset_size; 866 } 867 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 868 ierr = MatMatMult(sub_schurs->S_Ej_all,sub_schurs->sum_S_Ej_all,MAT_INITIAL_MATRIX,1.0,&tmpmat);CHKERRQ(ierr); 869 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 870 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 871 sub_schurs->S_Ej_all = tmpmat; 872 } 873 874 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 875 if (compute_Stilda) { 876 ierr = MatISSetLocalMat(work_mat,S_Ej_tilda_all);CHKERRQ(ierr); 877 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 878 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 879 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 880 ierr = MatISSetLocalMat(work_mat,S_Ej_inv_all);CHKERRQ(ierr); 881 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 882 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 883 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 884 } 885 886 /* free workspace */ 887 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 888 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 889 ierr = MatDestroy(&S_Ej_tilda_all);CHKERRQ(ierr); 890 ierr = MatDestroy(&S_Ej_inv_all);CHKERRQ(ierr); 891 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 892 ierr = ISDestroy(&temp_is);CHKERRQ(ierr); 893 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 894 PetscFunctionReturn(0); 895 } 896 897 #undef __FUNCT__ 898 #define __FUNCT__ "PCBDDCSubSchursInit" 899 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap) 900 { 901 IS *faces,*edges,*all_cc,vertices; 902 PetscInt i,n_faces,n_edges,n_all_cc; 903 PetscBool is_sorted; 904 PetscErrorCode ierr; 905 906 PetscFunctionBegin; 907 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 908 if (!is_sorted) { 909 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 910 } 911 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 912 if (!is_sorted) { 913 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 914 } 915 916 /* reset any previous data */ 917 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 918 919 /* get index sets for faces and edges (already sorted by global ordering) */ 920 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 921 n_all_cc = n_faces+n_edges; 922 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 923 ierr = PetscBTCreate(n_all_cc,&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 924 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 925 for (i=0;i<n_faces;i++) { 926 all_cc[i] = faces[i]; 927 } 928 for (i=0;i<n_edges;i++) { 929 all_cc[n_faces+i] = edges[i]; 930 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 931 } 932 ierr = PetscFree(faces);CHKERRQ(ierr); 933 ierr = PetscFree(edges);CHKERRQ(ierr); 934 sub_schurs->is_dir = NULL; 935 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 936 937 /* Determine if MUMPS cane be used */ 938 sub_schurs->use_mumps = PETSC_FALSE; 939 #if defined(PETSC_HAVE_MUMPS) 940 sub_schurs->use_mumps = PETSC_TRUE; 941 #endif 942 943 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 944 sub_schurs->is_I = is_I; 945 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 946 sub_schurs->is_B = is_B; 947 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 948 sub_schurs->l2gmap = graph->l2gmap; 949 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 950 sub_schurs->BtoNmap = BtoNmap; 951 sub_schurs->n_subs = n_all_cc; 952 sub_schurs->is_subs = all_cc; 953 if (!sub_schurs->use_mumps) { /* sort by local ordering mumps is not present */ 954 for (i=0;i<sub_schurs->n_subs;i++) { 955 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 956 } 957 } 958 sub_schurs->is_vertices = vertices; 959 sub_schurs->S_Ej_all = NULL; 960 sub_schurs->sum_S_Ej_all = NULL; 961 sub_schurs->sum_S_Ej_inv_all = NULL; 962 sub_schurs->sum_S_Ej_tilda_all = NULL; 963 sub_schurs->is_Ej_all = NULL; 964 PetscFunctionReturn(0); 965 } 966 967 #undef __FUNCT__ 968 #define __FUNCT__ "PCBDDCSubSchursCreate" 969 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 970 { 971 PCBDDCSubSchurs schurs_ctx; 972 PetscErrorCode ierr; 973 974 PetscFunctionBegin; 975 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 976 schurs_ctx->n_subs = 0; 977 *sub_schurs = schurs_ctx; 978 PetscFunctionReturn(0); 979 } 980 981 #undef __FUNCT__ 982 #define __FUNCT__ "PCBDDCSubSchursDestroy" 983 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 984 { 985 PetscErrorCode ierr; 986 987 PetscFunctionBegin; 988 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 989 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 990 PetscFunctionReturn(0); 991 } 992 993 #undef __FUNCT__ 994 #define __FUNCT__ "PCBDDCSubSchursReset" 995 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 996 { 997 PetscInt i; 998 PetscErrorCode ierr; 999 1000 PetscFunctionBegin; 1001 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1002 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1003 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1004 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1005 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1006 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1007 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1008 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1009 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1010 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1011 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1012 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1013 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1014 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1015 ierr = PetscBTDestroy(&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 1016 for (i=0;i<sub_schurs->n_subs;i++) { 1017 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 1018 } 1019 if (sub_schurs->n_subs) { 1020 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 1021 } 1022 if (sub_schurs->reuse_mumps) { 1023 ierr = PCBDDCReuseMumpsReset(sub_schurs->reuse_mumps);CHKERRQ(ierr); 1024 } 1025 ierr = PetscFree(sub_schurs->reuse_mumps);CHKERRQ(ierr); 1026 sub_schurs->n_subs = 0; 1027 PetscFunctionReturn(0); 1028 } 1029 1030 #undef __FUNCT__ 1031 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private" 1032 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 1033 { 1034 PetscInt i,j,n; 1035 PetscErrorCode ierr; 1036 1037 PetscFunctionBegin; 1038 n = 0; 1039 for (i=-n_prev;i<0;i++) { 1040 PetscInt start_dof = queue_tip[i]; 1041 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 1042 PetscInt dof = adjncy[j]; 1043 if (!PetscBTLookup(touched,dof)) { 1044 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 1045 queue_tip[n] = dof; 1046 n++; 1047 } 1048 } 1049 } 1050 *n_added = n; 1051 PetscFunctionReturn(0); 1052 } 1053