1 /* TODOLIST 2 DofSplitting and DM attached to pc? 3 Change SetNeumannBoundaries to SetNeumannBoundariesLocal and provide new SetNeumannBoundaries (same Dirichlet) 4 change how to deal with the coarse problem (PCBDDCSetCoarseEnvironment): 5 - simplify coarse problem structure -> PCBDDC or PCREDUDANT, nothing else -> same comm for all levels? 6 - remove coarse enums and allow use of PCBDDCGetCoarseKSP 7 - remove metis dependency -> use MatPartitioning for multilevel -> Assemble serial adjacency in PCBDDCAnalyzeInterface? 8 code refactoring: 9 - pick up better names for static functions 10 change options structure: 11 - insert BDDC into MG framework? 12 provide other ops? Ask to developers 13 remove all unused printf 14 man pages 15 */ 16 17 /* ---------------------------------------------------------------------------------------------------------------------------------------------- 18 Implementation of BDDC preconditioner based on: 19 C. Dohrmann "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007 20 ---------------------------------------------------------------------------------------------------------------------------------------------- */ 21 22 #include "bddc.h" /*I "petscpc.h" I*/ /* includes for fortran wrappers */ 23 #include "bddcprivate.h" 24 #include <petscblaslapack.h> 25 26 /* prototypes for static functions contained in bddc.c */ 27 static PetscErrorCode PCBDDCSetUseExactDirichlet(PC,PetscBool); 28 static PetscErrorCode PCBDDCSetLevel(PC,PetscInt); 29 static PetscErrorCode PCBDDCCoarseSetUp(PC); 30 static PetscErrorCode PCBDDCSetUpCoarseEnvironment(PC,PetscScalar*); 31 32 /* -------------------------------------------------------------------------- */ 33 #undef __FUNCT__ 34 #define __FUNCT__ "PCSetFromOptions_BDDC" 35 PetscErrorCode PCSetFromOptions_BDDC(PC pc) 36 { 37 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 38 PetscErrorCode ierr; 39 40 PetscFunctionBegin; 41 ierr = PetscOptionsHead("BDDC options");CHKERRQ(ierr); 42 /* Verbose debugging of main data structures */ 43 ierr = PetscOptionsBool("-pc_bddc_check_all" ,"Verbose (debugging) output for PCBDDC" ,"none",pcbddc->dbg_flag ,&pcbddc->dbg_flag ,NULL);CHKERRQ(ierr); 44 /* Some customization for default primal space */ 45 ierr = PetscOptionsBool("-pc_bddc_vertices_only" ,"Use only vertices in coarse space (i.e. discard constraints)","none",pcbddc->vertices_flag ,&pcbddc->vertices_flag ,NULL);CHKERRQ(ierr); 46 ierr = PetscOptionsBool("-pc_bddc_constraints_only","Use only constraints in coarse space (i.e. discard vertices)","none",pcbddc->constraints_flag,&pcbddc->constraints_flag,NULL);CHKERRQ(ierr); 47 ierr = PetscOptionsBool("-pc_bddc_faces_only" ,"Use only faces among constraints of coarse space (i.e. discard edges)" ,"none",pcbddc->faces_flag ,&pcbddc->faces_flag ,NULL);CHKERRQ(ierr); 48 ierr = PetscOptionsBool("-pc_bddc_edges_only" ,"Use only edges among constraints of coarse space (i.e. discard faces)" ,"none",pcbddc->edges_flag ,&pcbddc->edges_flag ,NULL);CHKERRQ(ierr); 49 /* Coarse solver context */ 50 static const char * const avail_coarse_problems[] = {"sequential","replicated","parallel","multilevel","CoarseProblemType","PC_BDDC_",0}; /*order of choiches depends on ENUM defined in bddc.h */ 51 ierr = PetscOptionsEnum("-pc_bddc_coarse_problem_type","Set coarse problem type","none",avail_coarse_problems,(PetscEnum)pcbddc->coarse_problem_type,(PetscEnum*)&pcbddc->coarse_problem_type,NULL);CHKERRQ(ierr); 52 /* Two different application of BDDC to the whole set of dofs, internal and interface */ 53 ierr = PetscOptionsBool("-pc_bddc_switch_preconditioning_type","Switch between M_2 (default) and M_3 preconditioners (as defined by Dohrmann)","none",pcbddc->inexact_prec_type,&pcbddc->inexact_prec_type,NULL);CHKERRQ(ierr); 54 ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use change of basis approach for primal space","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr); 55 ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use change of basis approach for face constraints","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr); 56 if (!pcbddc->use_change_of_basis) { 57 pcbddc->use_change_on_faces = PETSC_FALSE; 58 } 59 ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr); 60 ierr = PetscOptionsInt("-pc_bddc_max_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr); 61 ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr); 62 ierr = PetscOptionsTail();CHKERRQ(ierr); 63 PetscFunctionReturn(0); 64 } 65 /* -------------------------------------------------------------------------- */ 66 #undef __FUNCT__ 67 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC" 68 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices) 69 { 70 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 71 PetscErrorCode ierr; 72 73 PetscFunctionBegin; 74 ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr); 75 ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr); 76 pcbddc->user_primal_vertices = PrimalVertices; 77 PetscFunctionReturn(0); 78 } 79 #undef __FUNCT__ 80 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS" 81 /*@ 82 PCBDDCSetPrimalVerticesLocalIS - Set user defined primal vertices in PCBDDC. 83 84 Not collective 85 86 Input Parameters: 87 + pc - the preconditioning context 88 - PrimalVertices - index sets of primal vertices in local numbering 89 90 Level: intermediate 91 92 Notes: 93 94 .seealso: PCBDDC 95 @*/ 96 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices) 97 { 98 PetscErrorCode ierr; 99 100 PetscFunctionBegin; 101 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 102 PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2); 103 ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr); 104 PetscFunctionReturn(0); 105 } 106 /* -------------------------------------------------------------------------- */ 107 #undef __FUNCT__ 108 #define __FUNCT__ "PCBDDCSetCoarseProblemType_BDDC" 109 static PetscErrorCode PCBDDCSetCoarseProblemType_BDDC(PC pc, CoarseProblemType CPT) 110 { 111 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 112 113 PetscFunctionBegin; 114 pcbddc->coarse_problem_type = CPT; 115 PetscFunctionReturn(0); 116 } 117 118 #undef __FUNCT__ 119 #define __FUNCT__ "PCBDDCSetCoarseProblemType" 120 /*@ 121 PCBDDCSetCoarseProblemType - Set coarse problem type in PCBDDC. 122 123 Not collective 124 125 Input Parameters: 126 + pc - the preconditioning context 127 - CoarseProblemType - pick a better name and explain what this is 128 129 Level: intermediate 130 131 Notes: 132 Not collective but all procs must call with same arguments. 133 134 .seealso: PCBDDC 135 @*/ 136 PetscErrorCode PCBDDCSetCoarseProblemType(PC pc, CoarseProblemType CPT) 137 { 138 PetscErrorCode ierr; 139 140 PetscFunctionBegin; 141 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 142 ierr = PetscTryMethod(pc,"PCBDDCSetCoarseProblemType_C",(PC,CoarseProblemType),(pc,CPT));CHKERRQ(ierr); 143 PetscFunctionReturn(0); 144 } 145 /* -------------------------------------------------------------------------- */ 146 #undef __FUNCT__ 147 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC" 148 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k) 149 { 150 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 151 152 PetscFunctionBegin; 153 pcbddc->coarsening_ratio=k; 154 PetscFunctionReturn(0); 155 } 156 157 #undef __FUNCT__ 158 #define __FUNCT__ "PCBDDCSetCoarseningRatio" 159 /*@ 160 PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel coarsening 161 162 Logically collective on PC 163 164 Input Parameters: 165 + pc - the preconditioning context 166 - k - coarsening ratio 167 168 Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level. 169 170 Level: intermediate 171 172 Notes: 173 174 .seealso: PCBDDC 175 @*/ 176 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k) 177 { 178 PetscErrorCode ierr; 179 180 PetscFunctionBegin; 181 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 182 ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr); 183 PetscFunctionReturn(0); 184 } 185 /* -------------------------------------------------------------------------- */ 186 187 #undef __FUNCT__ 188 #define __FUNCT__ "PCBDDCSetMaxLevels_BDDC" 189 static PetscErrorCode PCBDDCSetMaxLevels_BDDC(PC pc,PetscInt max_levels) 190 { 191 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 192 193 PetscFunctionBegin; 194 pcbddc->max_levels=max_levels; 195 PetscFunctionReturn(0); 196 } 197 198 #undef __FUNCT__ 199 #define __FUNCT__ "PCBDDCSetMaxLevels" 200 /*@ 201 PCBDDCSetMaxLevels - Sets the maximum number of levels within the multilevel approach. 202 203 Logically collective on PC 204 205 Input Parameters: 206 + pc - the preconditioning context 207 - max_levels - the maximum number of levels 208 209 Default value is 1, i.e. coarse problem will be solved inexactly with one application 210 of PCBDDC preconditioner if the multilevel approach is requested. 211 212 Level: intermediate 213 214 Notes: 215 216 .seealso: PCBDDC 217 @*/ 218 PetscErrorCode PCBDDCSetMaxLevels(PC pc,PetscInt max_levels) 219 { 220 PetscErrorCode ierr; 221 222 PetscFunctionBegin; 223 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 224 ierr = PetscTryMethod(pc,"PCBDDCSetMaxLevels_C",(PC,PetscInt),(pc,max_levels));CHKERRQ(ierr); 225 PetscFunctionReturn(0); 226 } 227 /* -------------------------------------------------------------------------- */ 228 229 #undef __FUNCT__ 230 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC" 231 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace) 232 { 233 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 234 PetscErrorCode ierr; 235 236 PetscFunctionBegin; 237 ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr); 238 ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr); 239 pcbddc->NullSpace=NullSpace; 240 PetscFunctionReturn(0); 241 } 242 243 #undef __FUNCT__ 244 #define __FUNCT__ "PCBDDCSetNullSpace" 245 /*@ 246 PCBDDCSetNullSpace - Set NullSpace of global operator of BDDC preconditioned mat. 247 248 Logically collective on PC and MatNullSpace 249 250 Input Parameters: 251 + pc - the preconditioning context 252 - NullSpace - Null space of the linear operator to be preconditioned. 253 254 Level: intermediate 255 256 Notes: 257 258 .seealso: PCBDDC 259 @*/ 260 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace) 261 { 262 PetscErrorCode ierr; 263 264 PetscFunctionBegin; 265 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 266 PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2); 267 ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr); 268 PetscFunctionReturn(0); 269 } 270 /* -------------------------------------------------------------------------- */ 271 272 #undef __FUNCT__ 273 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC" 274 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries) 275 { 276 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 277 PetscErrorCode ierr; 278 279 PetscFunctionBegin; 280 ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr); 281 ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr); 282 pcbddc->DirichletBoundaries=DirichletBoundaries; 283 PetscFunctionReturn(0); 284 } 285 286 #undef __FUNCT__ 287 #define __FUNCT__ "PCBDDCSetDirichletBoundaries" 288 /*@ 289 PCBDDCSetDirichletBoundaries - Set index set defining subdomain part (in local ordering) 290 of Dirichlet boundaries for the global problem. 291 292 Not collective 293 294 Input Parameters: 295 + pc - the preconditioning context 296 - DirichletBoundaries - sequential index set defining the subdomain part of Dirichlet boundaries (can be NULL) 297 298 Level: intermediate 299 300 Notes: 301 302 .seealso: PCBDDC 303 @*/ 304 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries) 305 { 306 PetscErrorCode ierr; 307 308 PetscFunctionBegin; 309 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 310 PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2); 311 ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr); 312 PetscFunctionReturn(0); 313 } 314 /* -------------------------------------------------------------------------- */ 315 316 #undef __FUNCT__ 317 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC" 318 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries) 319 { 320 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 321 PetscErrorCode ierr; 322 323 PetscFunctionBegin; 324 ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr); 325 ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr); 326 pcbddc->NeumannBoundaries=NeumannBoundaries; 327 PetscFunctionReturn(0); 328 } 329 330 #undef __FUNCT__ 331 #define __FUNCT__ "PCBDDCSetNeumannBoundaries" 332 /*@ 333 PCBDDCSetNeumannBoundaries - Set index set defining subdomain part (in local ordering) 334 of Neumann boundaries for the global problem. 335 336 Not collective 337 338 Input Parameters: 339 + pc - the preconditioning context 340 - NeumannBoundaries - sequential index set defining the subdomain part of Neumann boundaries (can be NULL) 341 342 Level: intermediate 343 344 Notes: 345 346 .seealso: PCBDDC 347 @*/ 348 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries) 349 { 350 PetscErrorCode ierr; 351 352 PetscFunctionBegin; 353 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 354 PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2); 355 ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr); 356 PetscFunctionReturn(0); 357 } 358 /* -------------------------------------------------------------------------- */ 359 360 #undef __FUNCT__ 361 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC" 362 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries) 363 { 364 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 365 366 PetscFunctionBegin; 367 *DirichletBoundaries = pcbddc->DirichletBoundaries; 368 PetscFunctionReturn(0); 369 } 370 371 #undef __FUNCT__ 372 #define __FUNCT__ "PCBDDCGetDirichletBoundaries" 373 /*@ 374 PCBDDCGetDirichletBoundaries - Get index set defining subdomain part (in local ordering) 375 of Dirichlet boundaries for the global problem. 376 377 Not collective 378 379 Input Parameters: 380 + pc - the preconditioning context 381 382 Output Parameters: 383 + DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries 384 385 Level: intermediate 386 387 Notes: 388 389 .seealso: PCBDDC 390 @*/ 391 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries) 392 { 393 PetscErrorCode ierr; 394 395 PetscFunctionBegin; 396 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 397 ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr); 398 PetscFunctionReturn(0); 399 } 400 /* -------------------------------------------------------------------------- */ 401 402 #undef __FUNCT__ 403 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC" 404 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries) 405 { 406 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 407 408 PetscFunctionBegin; 409 *NeumannBoundaries = pcbddc->NeumannBoundaries; 410 PetscFunctionReturn(0); 411 } 412 413 #undef __FUNCT__ 414 #define __FUNCT__ "PCBDDCGetNeumannBoundaries" 415 /*@ 416 PCBDDCGetNeumannBoundaries - Get index set defining subdomain part (in local ordering) 417 of Neumann boundaries for the global problem. 418 419 Not collective 420 421 Input Parameters: 422 + pc - the preconditioning context 423 424 Output Parameters: 425 + NeumannBoundaries - index set defining the subdomain part of Neumann boundaries 426 427 Level: intermediate 428 429 Notes: 430 431 .seealso: PCBDDC 432 @*/ 433 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries) 434 { 435 PetscErrorCode ierr; 436 437 PetscFunctionBegin; 438 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 439 ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr); 440 PetscFunctionReturn(0); 441 } 442 /* -------------------------------------------------------------------------- */ 443 444 #undef __FUNCT__ 445 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC" 446 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode) 447 { 448 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 449 PCBDDCGraph mat_graph = pcbddc->mat_graph; 450 PetscErrorCode ierr; 451 452 PetscFunctionBegin; 453 /* free old CSR */ 454 ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr); 455 /* get CSR into graph structure */ 456 if (copymode == PETSC_COPY_VALUES) { 457 ierr = PetscMalloc((nvtxs+1)*sizeof(PetscInt),&mat_graph->xadj);CHKERRQ(ierr); 458 ierr = PetscMalloc(xadj[nvtxs]*sizeof(PetscInt),&mat_graph->adjncy);CHKERRQ(ierr); 459 ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr); 460 ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr); 461 } else if (copymode == PETSC_OWN_POINTER) { 462 mat_graph->xadj = (PetscInt*)xadj; 463 mat_graph->adjncy = (PetscInt*)adjncy; 464 } 465 PetscFunctionReturn(0); 466 } 467 468 #undef __FUNCT__ 469 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph" 470 /*@ 471 PCBDDCSetLocalAdjacencyGraph - Set CSR graph of local matrix for use of PCBDDC. 472 473 Not collective 474 475 Input Parameters: 476 + pc - the preconditioning context 477 - nvtxs - number of local vertices of the graph 478 - xadj, adjncy - the CSR graph 479 - copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER. In the former case the user must free the array passed in; 480 in the latter case, memory must be obtained with PetscMalloc. 481 482 Level: intermediate 483 484 Notes: 485 486 .seealso: PCBDDC 487 @*/ 488 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode) 489 { 490 PetscInt nrows,ncols; 491 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 492 PetscErrorCode ierr; 493 494 PetscFunctionBegin; 495 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 496 PetscValidIntPointer(xadj,3); 497 PetscValidIntPointer(xadj,4); 498 if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) { 499 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__); 500 } 501 /* pcis info could not be available at this point */ 502 ierr = MatGetSize(matis->A,&nrows,&ncols);CHKERRQ(ierr); 503 if (nvtxs != nrows) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Local adjacency size %d passed in %s differs from local problem size %d!\n",nvtxs,__FUNCT__,nrows); 504 ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr); 505 PetscFunctionReturn(0); 506 } 507 /* -------------------------------------------------------------------------- */ 508 509 #undef __FUNCT__ 510 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC" 511 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[]) 512 { 513 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 514 PetscInt i; 515 PetscErrorCode ierr; 516 517 PetscFunctionBegin; 518 /* Destroy ISes if they were already set */ 519 for (i=0;i<pcbddc->n_ISForDofs;i++) { 520 ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr); 521 } 522 ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr); 523 /* allocate space then set */ 524 ierr = PetscMalloc(n_is*sizeof(IS),&pcbddc->ISForDofs);CHKERRQ(ierr); 525 for (i=0;i<n_is;i++) { 526 ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr); 527 pcbddc->ISForDofs[i]=ISForDofs[i]; 528 } 529 pcbddc->n_ISForDofs=n_is; 530 PetscFunctionReturn(0); 531 } 532 533 #undef __FUNCT__ 534 #define __FUNCT__ "PCBDDCSetDofsSplitting" 535 /*@ 536 PCBDDCSetDofsSplitting - Set index sets defining fields of local mat. 537 538 Not collective 539 540 Input Parameters: 541 + pc - the preconditioning context 542 - n - number of index sets defining the fields 543 - IS[] - array of IS describing the fields 544 545 Level: intermediate 546 547 Notes: 548 549 .seealso: PCBDDC 550 @*/ 551 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[]) 552 { 553 PetscErrorCode ierr; 554 555 PetscFunctionBegin; 556 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 557 ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr); 558 PetscFunctionReturn(0); 559 } 560 /* -------------------------------------------------------------------------- */ 561 #undef __FUNCT__ 562 #define __FUNCT__ "PCPreSolve_BDDC" 563 /* -------------------------------------------------------------------------- */ 564 /* 565 PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial 566 guess if a transformation of basis approach has been selected. 567 568 Input Parameter: 569 + pc - the preconditioner contex 570 571 Application Interface Routine: PCPreSolve() 572 573 Notes: 574 The interface routine PCPreSolve() is not usually called directly by 575 the user, but instead is called by KSPSolve(). 576 */ 577 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x) 578 { 579 PetscErrorCode ierr; 580 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 581 PC_IS *pcis = (PC_IS*)(pc->data); 582 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 583 Mat temp_mat; 584 IS dirIS; 585 PetscInt dirsize,i,*is_indices; 586 PetscScalar *array_x,*array_diagonal; 587 Vec used_vec; 588 PetscBool guess_nonzero; 589 590 PetscFunctionBegin; 591 if (x) { 592 ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr); 593 used_vec = x; 594 } else { 595 ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr); 596 used_vec = pcbddc->temp_solution; 597 ierr = VecSet(used_vec,0.0);CHKERRQ(ierr); 598 } 599 /* hack into ksp data structure PCPreSolve comes earlier in src/ksp/ksp/interface/itfunc.c */ 600 if (ksp) { 601 ierr = KSPGetInitialGuessNonzero(ksp,&guess_nonzero);CHKERRQ(ierr); 602 if ( !guess_nonzero ) { 603 ierr = VecSet(used_vec,0.0);CHKERRQ(ierr); 604 } 605 } 606 /* store the original rhs */ 607 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 608 609 /* Take into account zeroed rows -> change rhs and store solution removed */ 610 ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr); 611 ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr); 612 ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 613 ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 614 ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 615 ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 616 ierr = PCBDDCGetDirichletBoundaries(pc,&dirIS);CHKERRQ(ierr); 617 if (dirIS) { 618 ierr = ISGetSize(dirIS,&dirsize);CHKERRQ(ierr); 619 ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr); 620 ierr = VecGetArray(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr); 621 ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 622 for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]]; 623 ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 624 ierr = VecRestoreArray(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr); 625 ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr); 626 } 627 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 628 ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 629 630 /* remove the computed solution from the rhs */ 631 ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr); 632 ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr); 633 ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr); 634 635 /* store partially computed solution and set initial guess */ 636 if (x) { 637 ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr); 638 ierr = VecSet(used_vec,0.0);CHKERRQ(ierr); 639 if (pcbddc->use_exact_dirichlet) { 640 ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 641 ierr = VecScatterEnd (pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 642 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 643 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 644 ierr = VecScatterEnd (pcis->global_to_D,pcis->vec2_D,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 645 if (ksp) { 646 ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr); 647 } 648 } 649 } 650 651 /* rhs change of basis */ 652 if (pcbddc->use_change_of_basis) { 653 /* swap pointers for local matrices */ 654 temp_mat = matis->A; 655 matis->A = pcbddc->local_mat; 656 pcbddc->local_mat = temp_mat; 657 /* Get local rhs and apply transformation of basis */ 658 ierr = VecScatterBegin(pcis->global_to_B,rhs,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 659 ierr = VecScatterEnd (pcis->global_to_B,rhs,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 660 /* from original basis to modified basis */ 661 ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr); 662 /* put back modified values into the global vec using INSERT_VALUES copy mode */ 663 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec2_B,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 664 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec2_B,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 665 } 666 if (ksp && pcbddc->NullSpace) { 667 ierr = MatNullSpaceRemove(pcbddc->NullSpace,used_vec,NULL);CHKERRQ(ierr); 668 ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs,NULL);CHKERRQ(ierr); 669 } 670 ierr = VecDestroy(&used_vec);CHKERRQ(ierr); 671 PetscFunctionReturn(0); 672 } 673 /* -------------------------------------------------------------------------- */ 674 #undef __FUNCT__ 675 #define __FUNCT__ "PCPostSolve_BDDC" 676 /* -------------------------------------------------------------------------- */ 677 /* 678 PCPostSolve_BDDC - Changes the computed solution if a transformation of basis 679 approach has been selected. Also, restores rhs to its original state. 680 681 Input Parameter: 682 + pc - the preconditioner contex 683 684 Application Interface Routine: PCPostSolve() 685 686 Notes: 687 The interface routine PCPostSolve() is not usually called directly by 688 the user, but instead is called by KSPSolve(). 689 */ 690 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x) 691 { 692 PetscErrorCode ierr; 693 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 694 PC_IS *pcis = (PC_IS*)(pc->data); 695 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 696 Mat temp_mat; 697 698 PetscFunctionBegin; 699 if (pcbddc->use_change_of_basis) { 700 /* swap pointers for local matrices */ 701 temp_mat = matis->A; 702 matis->A = pcbddc->local_mat; 703 pcbddc->local_mat = temp_mat; 704 /* restore rhs to its original state */ 705 if (rhs) { 706 ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr); 707 } 708 /* Get Local boundary and apply transformation of basis to solution vector */ 709 ierr = VecScatterBegin(pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 710 ierr = VecScatterEnd (pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 711 /* from modified basis to original basis */ 712 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr); 713 /* put back modified values into the global vec using INSERT_VALUES copy mode */ 714 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 715 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 716 } 717 /* add solution removed in presolve */ 718 if (x) { 719 ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr); 720 } 721 PetscFunctionReturn(0); 722 } 723 /* -------------------------------------------------------------------------- */ 724 #undef __FUNCT__ 725 #define __FUNCT__ "PCSetUp_BDDC" 726 /* -------------------------------------------------------------------------- */ 727 /* 728 PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner 729 by setting data structures and options. 730 731 Input Parameter: 732 + pc - the preconditioner context 733 734 Application Interface Routine: PCSetUp() 735 736 Notes: 737 The interface routine PCSetUp() is not usually called directly by 738 the user, but instead is called by PCApply() if necessary. 739 */ 740 PetscErrorCode PCSetUp_BDDC(PC pc) 741 { 742 PetscErrorCode ierr; 743 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 744 MatStructure flag; 745 PetscBool computeis,computetopography,computesolvers; 746 747 PetscFunctionBegin; 748 /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other nonoverlapping preconditioners */ 749 /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup 750 So, we set to pcnone the Neumann problem of pcis in order to avoid unneeded computation 751 Also, we decide to directly build the (same) Dirichlet problem */ 752 ierr = PetscOptionsSetValue("-is_localN_pc_type","none");CHKERRQ(ierr); 753 ierr = PetscOptionsSetValue("-is_localD_pc_type","none");CHKERRQ(ierr); 754 /* Get stdout for dbg */ 755 if (pcbddc->dbg_flag && !pcbddc->dbg_viewer) { 756 ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pc),&pcbddc->dbg_viewer);CHKERRQ(ierr); 757 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 758 } 759 /* first attempt to split work */ 760 if (pc->setupcalled) { 761 computeis = PETSC_FALSE; 762 ierr = PCGetOperators(pc,NULL,NULL,&flag);CHKERRQ(ierr); 763 if (flag == SAME_PRECONDITIONER) { 764 computetopography = PETSC_FALSE; 765 computesolvers = PETSC_FALSE; 766 } else if (flag == SAME_NONZERO_PATTERN) { 767 computetopography = PETSC_FALSE; 768 computesolvers = PETSC_TRUE; 769 } else { /* DIFFERENT_NONZERO_PATTERN */ 770 computetopography = PETSC_TRUE; 771 computesolvers = PETSC_TRUE; 772 } 773 } else { 774 computeis = PETSC_TRUE; 775 computetopography = PETSC_TRUE; 776 computesolvers = PETSC_TRUE; 777 } 778 /* Set up all the "iterative substructuring" common block */ 779 if (computeis) { 780 ierr = PCISSetUp(pc);CHKERRQ(ierr); 781 } 782 /* Analyze interface and set up local constraint and change of basis matrices */ 783 if (computetopography) { 784 /* reset data */ 785 ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr); 786 ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr); 787 ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr); 788 } 789 if (computesolvers) { 790 /* reset data */ 791 ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr); 792 ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr); 793 /* Create coarse and local stuffs used for evaluating action of preconditioner */ 794 ierr = PCBDDCCoarseSetUp(pc);CHKERRQ(ierr); 795 ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr); 796 } 797 PetscFunctionReturn(0); 798 } 799 800 /* -------------------------------------------------------------------------- */ 801 /* 802 PCApply_BDDC - Applies the BDDC preconditioner to a vector. 803 804 Input Parameters: 805 . pc - the preconditioner context 806 . r - input vector (global) 807 808 Output Parameter: 809 . z - output vector (global) 810 811 Application Interface Routine: PCApply() 812 */ 813 #undef __FUNCT__ 814 #define __FUNCT__ "PCApply_BDDC" 815 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z) 816 { 817 PC_IS *pcis = (PC_IS*)(pc->data); 818 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 819 PetscErrorCode ierr; 820 const PetscScalar one = 1.0; 821 const PetscScalar m_one = -1.0; 822 const PetscScalar zero = 0.0; 823 824 /* This code is similar to that provided in nn.c for PCNN 825 NN interface preconditioner changed to BDDC 826 Added support for M_3 preconditioner in the reference article (code is active if pcbddc->inexact_prec_type = PETSC_TRUE) */ 827 828 PetscFunctionBegin; 829 if (!pcbddc->use_exact_dirichlet) { 830 /* First Dirichlet solve */ 831 ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 832 ierr = VecScatterEnd (pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 833 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 834 /* 835 Assembling right hand side for BDDC operator 836 - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE) 837 - pcis->vec1_B the interface part of the global vector z 838 */ 839 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 840 ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr); 841 if (pcbddc->inexact_prec_type) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 842 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 843 ierr = VecCopy(r,z);CHKERRQ(ierr); 844 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 845 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 846 ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr); 847 } else { 848 ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr); 849 ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr); 850 ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr); 851 } 852 853 /* Apply interface preconditioner 854 input/output vecs: pcis->vec1_B and pcis->vec1_D */ 855 ierr = PCBDDCApplyInterfacePreconditioner(pc);CHKERRQ(ierr); 856 857 /* Apply transpose of partition of unity operator */ 858 ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr); 859 860 /* Second Dirichlet solve and assembling of output */ 861 ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 862 ierr = VecScatterEnd (pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 863 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr); 864 if (pcbddc->inexact_prec_type) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); } 865 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcbddc->vec4_D);CHKERRQ(ierr); 866 ierr = VecScale(pcbddc->vec4_D,m_one);CHKERRQ(ierr); 867 if (pcbddc->inexact_prec_type) { ierr = VecAXPY (pcbddc->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); } 868 ierr = VecAXPY (pcis->vec2_D,one,pcbddc->vec4_D);CHKERRQ(ierr); 869 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 870 ierr = VecScatterEnd (pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 871 PetscFunctionReturn(0); 872 } 873 /* -------------------------------------------------------------------------- */ 874 875 #undef __FUNCT__ 876 #define __FUNCT__ "PCDestroy_BDDC" 877 PetscErrorCode PCDestroy_BDDC(PC pc) 878 { 879 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 880 PetscErrorCode ierr; 881 882 PetscFunctionBegin; 883 /* free data created by PCIS */ 884 ierr = PCISDestroy(pc);CHKERRQ(ierr); 885 /* free BDDC custom data */ 886 ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr); 887 /* destroy objects related to topography */ 888 ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr); 889 /* free allocated graph structure */ 890 ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr); 891 /* free data for scaling operator */ 892 ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr); 893 /* free solvers stuff */ 894 ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr); 895 /* remove functions */ 896 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr); 897 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr); 898 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetMaxLevels_C",NULL);CHKERRQ(ierr); 899 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr); 900 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 901 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 902 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 903 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 904 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseProblemType_C",NULL);CHKERRQ(ierr); 905 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr); 906 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr); 907 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr); 908 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr); 909 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr); 910 /* Free the private data structure */ 911 ierr = PetscFree(pc->data);CHKERRQ(ierr); 912 PetscFunctionReturn(0); 913 } 914 /* -------------------------------------------------------------------------- */ 915 916 #undef __FUNCT__ 917 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC" 918 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 919 { 920 FETIDPMat_ctx mat_ctx; 921 PC_IS* pcis; 922 PC_BDDC* pcbddc; 923 PetscErrorCode ierr; 924 925 PetscFunctionBegin; 926 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 927 pcis = (PC_IS*)mat_ctx->pc->data; 928 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 929 930 /* change of basis for physical rhs if needed 931 It also changes the rhs in case of dirichlet boundaries */ 932 (*mat_ctx->pc->ops->presolve)(mat_ctx->pc,NULL,standard_rhs,NULL); 933 /* store vectors for computation of fetidp final solution */ 934 ierr = VecScatterBegin(pcis->global_to_D,standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 935 ierr = VecScatterEnd(pcis->global_to_D,standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 936 /* scale rhs since it should be unassembled : TODO use counter scaling? (also below) */ 937 ierr = VecScatterBegin(pcis->global_to_B,standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 938 ierr = VecScatterEnd(pcis->global_to_B,standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 939 /* Apply partition of unity */ 940 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 941 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 942 if (!pcbddc->inexact_prec_type) { 943 /* compute partially subassembled Schur complement right-hand side */ 944 ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 945 ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr); 946 ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr); 947 ierr = VecSet(standard_rhs,0.0);CHKERRQ(ierr); 948 ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 949 ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 950 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 951 ierr = VecScatterBegin(pcis->global_to_B,standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 952 ierr = VecScatterEnd(pcis->global_to_B,standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 953 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 954 } 955 /* BDDC rhs */ 956 ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr); 957 if (pcbddc->inexact_prec_type) { 958 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 959 } 960 /* apply BDDC */ 961 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc);CHKERRQ(ierr); 962 /* Application of B_delta and assembling of rhs for fetidp fluxes */ 963 ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr); 964 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 965 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 966 ierr = VecScatterEnd (mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 967 /* restore original rhs */ 968 ierr = VecCopy(pcbddc->original_rhs,standard_rhs);CHKERRQ(ierr); 969 PetscFunctionReturn(0); 970 } 971 972 #undef __FUNCT__ 973 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS" 974 /*@ 975 PCBDDCMatFETIDPGetRHS - Get rhs for FETIDP linear system. 976 977 Collective 978 979 Input Parameters: 980 + fetidp_mat - the FETIDP mat obtained by a call to PCBDDCCreateFETIDPOperators 981 + standard_rhs - the rhs of your linear system 982 983 Output Parameters: 984 + fetidp_flux_rhs - the rhs of the FETIDP linear system 985 986 Level: developer 987 988 Notes: 989 990 .seealso: PCBDDC 991 @*/ 992 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 993 { 994 FETIDPMat_ctx mat_ctx; 995 PetscErrorCode ierr; 996 997 PetscFunctionBegin; 998 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 999 ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr); 1000 PetscFunctionReturn(0); 1001 } 1002 /* -------------------------------------------------------------------------- */ 1003 1004 #undef __FUNCT__ 1005 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC" 1006 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 1007 { 1008 FETIDPMat_ctx mat_ctx; 1009 PC_IS* pcis; 1010 PC_BDDC* pcbddc; 1011 PetscErrorCode ierr; 1012 1013 PetscFunctionBegin; 1014 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 1015 pcis = (PC_IS*)mat_ctx->pc->data; 1016 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 1017 1018 /* apply B_delta^T */ 1019 ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1020 ierr = VecScatterEnd (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1021 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 1022 /* compute rhs for BDDC application */ 1023 ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr); 1024 if (pcbddc->inexact_prec_type) { 1025 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 1026 } 1027 /* apply BDDC */ 1028 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc);CHKERRQ(ierr); 1029 /* put values into standard global vector */ 1030 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1031 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1032 if (!pcbddc->inexact_prec_type) { 1033 /* compute values into the interior if solved for the partially subassembled Schur complement */ 1034 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr); 1035 ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr); 1036 ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 1037 } 1038 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1039 ierr = VecScatterEnd (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1040 /* final change of basis if needed 1041 Is also sums the dirichlet part removed during RHS assembling */ 1042 (*mat_ctx->pc->ops->postsolve)(mat_ctx->pc,NULL,NULL,standard_sol); 1043 PetscFunctionReturn(0); 1044 1045 } 1046 1047 #undef __FUNCT__ 1048 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution" 1049 /*@ 1050 PCBDDCMatFETIDPGetSolution - Get Solution for FETIDP linear system. 1051 1052 Collective 1053 1054 Input Parameters: 1055 + fetidp_mat - the FETIDP mat obtained by a call to PCBDDCCreateFETIDPOperators 1056 + fetidp_flux_sol - the solution of the FETIDP linear system 1057 1058 Output Parameters: 1059 + standard_sol - the solution on the global domain 1060 1061 Level: developer 1062 1063 Notes: 1064 1065 .seealso: PCBDDC 1066 @*/ 1067 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 1068 { 1069 FETIDPMat_ctx mat_ctx; 1070 PetscErrorCode ierr; 1071 1072 PetscFunctionBegin; 1073 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 1074 ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr); 1075 PetscFunctionReturn(0); 1076 } 1077 /* -------------------------------------------------------------------------- */ 1078 1079 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec); 1080 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat); 1081 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec); 1082 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC); 1083 1084 #undef __FUNCT__ 1085 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC" 1086 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc) 1087 { 1088 1089 FETIDPMat_ctx fetidpmat_ctx; 1090 Mat newmat; 1091 FETIDPPC_ctx fetidppc_ctx; 1092 PC newpc; 1093 MPI_Comm comm; 1094 PetscErrorCode ierr; 1095 1096 PetscFunctionBegin; 1097 ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr); 1098 /* FETIDP linear matrix */ 1099 ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr); 1100 ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr); 1101 ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr); 1102 ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr); 1103 ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr); 1104 ierr = MatSetUp(newmat);CHKERRQ(ierr); 1105 /* FETIDP preconditioner */ 1106 ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr); 1107 ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr); 1108 ierr = PCCreate(comm,&newpc);CHKERRQ(ierr); 1109 ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr); 1110 ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr); 1111 ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr); 1112 ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr); 1113 ierr = PCSetOperators(newpc,newmat,newmat,SAME_PRECONDITIONER);CHKERRQ(ierr); 1114 ierr = PCSetUp(newpc);CHKERRQ(ierr); 1115 /* return pointers for objects created */ 1116 *fetidp_mat=newmat; 1117 *fetidp_pc=newpc; 1118 PetscFunctionReturn(0); 1119 } 1120 1121 #undef __FUNCT__ 1122 #define __FUNCT__ "PCBDDCCreateFETIDPOperators" 1123 /*@ 1124 PCBDDCCreateFETIDPOperators - Create operators for FETIDP. 1125 1126 Collective 1127 1128 Input Parameters: 1129 + pc - the BDDC preconditioning context (setup must be already called) 1130 1131 Level: developer 1132 1133 Notes: 1134 1135 .seealso: PCBDDC 1136 @*/ 1137 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc) 1138 { 1139 PetscErrorCode ierr; 1140 1141 PetscFunctionBegin; 1142 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 1143 if (pc->setupcalled) { 1144 ierr = PetscTryMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr); 1145 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n"); 1146 PetscFunctionReturn(0); 1147 } 1148 /* -------------------------------------------------------------------------- */ 1149 /*MC 1150 PCBDDC - Balancing Domain Decomposition by Constraints. 1151 1152 Options Database Keys: 1153 . -pcbddc ??? - 1154 1155 Level: intermediate 1156 1157 Notes: The matrix used with this preconditioner must be of type MATIS 1158 1159 Unlike more 'conventional' interface preconditioners, this iterates over ALL the 1160 degrees of freedom, NOT just those on the interface (this allows the use of approximate solvers 1161 on the subdomains). 1162 1163 Options for the coarse grid preconditioner can be set with - 1164 Options for the Dirichlet subproblem can be set with - 1165 Options for the Neumann subproblem can be set with - 1166 1167 Contributed by Stefano Zampini 1168 1169 .seealso: PCCreate(), PCSetType(), PCType (for list of available types), PC, MATIS 1170 M*/ 1171 1172 #undef __FUNCT__ 1173 #define __FUNCT__ "PCCreate_BDDC" 1174 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc) 1175 { 1176 PetscErrorCode ierr; 1177 PC_BDDC *pcbddc; 1178 1179 PetscFunctionBegin; 1180 /* Creates the private data structure for this preconditioner and attach it to the PC object. */ 1181 ierr = PetscNewLog(pc,PC_BDDC,&pcbddc);CHKERRQ(ierr); 1182 pc->data = (void*)pcbddc; 1183 1184 /* create PCIS data structure */ 1185 ierr = PCISCreate(pc);CHKERRQ(ierr); 1186 1187 /* BDDC specific */ 1188 pcbddc->user_primal_vertices = 0; 1189 pcbddc->NullSpace = 0; 1190 pcbddc->temp_solution = 0; 1191 pcbddc->original_rhs = 0; 1192 pcbddc->local_mat = 0; 1193 pcbddc->ChangeOfBasisMatrix = 0; 1194 pcbddc->use_change_of_basis = PETSC_TRUE; 1195 pcbddc->use_change_on_faces = PETSC_FALSE; 1196 pcbddc->coarse_vec = 0; 1197 pcbddc->coarse_rhs = 0; 1198 pcbddc->coarse_ksp = 0; 1199 pcbddc->coarse_phi_B = 0; 1200 pcbddc->coarse_phi_D = 0; 1201 pcbddc->vec1_P = 0; 1202 pcbddc->vec1_R = 0; 1203 pcbddc->vec2_R = 0; 1204 pcbddc->local_auxmat1 = 0; 1205 pcbddc->local_auxmat2 = 0; 1206 pcbddc->R_to_B = 0; 1207 pcbddc->R_to_D = 0; 1208 pcbddc->ksp_D = 0; 1209 pcbddc->ksp_R = 0; 1210 pcbddc->local_primal_indices = 0; 1211 pcbddc->inexact_prec_type = PETSC_FALSE; 1212 pcbddc->NeumannBoundaries = 0; 1213 pcbddc->ISForDofs = 0; 1214 pcbddc->ConstraintMatrix = 0; 1215 pcbddc->use_nnsp_true = PETSC_FALSE; 1216 pcbddc->local_primal_sizes = 0; 1217 pcbddc->local_primal_displacements = 0; 1218 pcbddc->coarse_loc_to_glob = 0; 1219 pcbddc->dbg_flag = PETSC_FALSE; 1220 pcbddc->coarsening_ratio = 8; 1221 pcbddc->use_exact_dirichlet = PETSC_TRUE; 1222 pcbddc->current_level = 0; 1223 pcbddc->max_levels = 1; 1224 pcbddc->replicated_local_primal_indices = 0; 1225 pcbddc->replicated_local_primal_values = 0; 1226 1227 /* create local graph structure */ 1228 ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr); 1229 1230 /* scaling */ 1231 pcbddc->use_deluxe_scaling = PETSC_FALSE; 1232 pcbddc->work_scaling = 0; 1233 1234 /* function pointers */ 1235 pc->ops->apply = PCApply_BDDC; 1236 pc->ops->applytranspose = 0; 1237 pc->ops->setup = PCSetUp_BDDC; 1238 pc->ops->destroy = PCDestroy_BDDC; 1239 pc->ops->setfromoptions = PCSetFromOptions_BDDC; 1240 pc->ops->view = 0; 1241 pc->ops->applyrichardson = 0; 1242 pc->ops->applysymmetricleft = 0; 1243 pc->ops->applysymmetricright = 0; 1244 pc->ops->presolve = PCPreSolve_BDDC; 1245 pc->ops->postsolve = PCPostSolve_BDDC; 1246 1247 /* composing function */ 1248 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr); 1249 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr); 1250 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetMaxLevels_C",PCBDDCSetMaxLevels_BDDC);CHKERRQ(ierr); 1251 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr); 1252 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr); 1253 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr); 1254 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr); 1255 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr); 1256 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseProblemType_C",PCBDDCSetCoarseProblemType_BDDC);CHKERRQ(ierr); 1257 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr); 1258 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr); 1259 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr); 1260 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr); 1261 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr); 1262 PetscFunctionReturn(0); 1263 } 1264 1265 /* -------------------------------------------------------------------------- */ 1266 /* All static functions from now on */ 1267 /* -------------------------------------------------------------------------- */ 1268 1269 #undef __FUNCT__ 1270 #define __FUNCT__ "PCBDDCSetUseExactDirichlet" 1271 static PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool use) 1272 { 1273 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1274 1275 PetscFunctionBegin; 1276 pcbddc->use_exact_dirichlet=use; 1277 PetscFunctionReturn(0); 1278 } 1279 1280 #undef __FUNCT__ 1281 #define __FUNCT__ "PCBDDCSetLevel" 1282 static PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level) 1283 { 1284 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1285 1286 PetscFunctionBegin; 1287 pcbddc->current_level=level; 1288 PetscFunctionReturn(0); 1289 } 1290 1291 /* -------------------------------------------------------------------------- */ 1292 #undef __FUNCT__ 1293 #define __FUNCT__ "PCBDDCCoarseSetUp" 1294 static PetscErrorCode PCBDDCCoarseSetUp(PC pc) 1295 { 1296 PetscErrorCode ierr; 1297 1298 PC_IS* pcis = (PC_IS*)(pc->data); 1299 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 1300 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 1301 Mat change_mat_all; 1302 IS is_R_local; 1303 IS is_V_local; 1304 IS is_C_local; 1305 IS is_aux1; 1306 IS is_aux2; 1307 VecType impVecType; 1308 MatType impMatType; 1309 PetscInt n_R=0; 1310 PetscInt n_D=0; 1311 PetscInt n_B=0; 1312 PetscScalar zero=0.0; 1313 PetscScalar one=1.0; 1314 PetscScalar m_one=-1.0; 1315 PetscScalar* array; 1316 PetscScalar *coarse_submat_vals; 1317 PetscInt *idx_R_local; 1318 PetscInt *idx_V_B; 1319 PetscScalar *coarsefunctions_errors; 1320 PetscScalar *constraints_errors; 1321 /* auxiliary indices */ 1322 PetscInt i,j,k; 1323 /* for verbose output of bddc */ 1324 PetscViewer viewer=pcbddc->dbg_viewer; 1325 PetscBool dbg_flag=pcbddc->dbg_flag; 1326 /* for counting coarse dofs */ 1327 PetscInt n_vertices,n_constraints; 1328 PetscInt size_of_constraint; 1329 PetscInt *row_cmat_indices; 1330 PetscScalar *row_cmat_values; 1331 PetscInt *vertices,*nnz,*is_indices,*temp_indices; 1332 ISLocalToGlobalMapping BtoNmap; 1333 1334 PetscFunctionBegin; 1335 /* Set Non-overlapping dimensions */ 1336 n_B = pcis->n_B; n_D = pcis->n - n_B; 1337 /* Set types for local objects needed by BDDC precondtioner */ 1338 impMatType = MATSEQDENSE; 1339 impVecType = VECSEQ; 1340 /* get vertex indices from constraint matrix */ 1341 ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&n_vertices,&vertices);CHKERRQ(ierr); 1342 /* Set number of constraints */ 1343 n_constraints = pcbddc->local_primal_size-n_vertices; 1344 1345 /* vertices in boundary numbering */ 1346 ierr = PetscMalloc(n_vertices*sizeof(PetscInt),&idx_V_B);CHKERRQ(ierr); 1347 ierr = ISLocalToGlobalMappingCreateIS(pcis->is_B_local,&BtoNmap);CHKERRQ(ierr); 1348 ierr = ISGlobalToLocalMappingApply(BtoNmap,IS_GTOLM_DROP,n_vertices,vertices,&i,idx_V_B);CHKERRQ(ierr); 1349 if (i != n_vertices) { 1350 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Error in boundary numbering for BDDC vertices! %d != %d\n",n_vertices,i); 1351 } 1352 1353 /* transform local matrices if needed */ 1354 if (pcbddc->use_change_of_basis) { 1355 ierr = PetscMalloc(pcis->n*sizeof(PetscInt),&nnz);CHKERRQ(ierr); 1356 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1357 for (i=0;i<n_D;i++) nnz[is_indices[i]] = 1; 1358 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1359 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1360 k=1; 1361 for (i=0;i<n_B;i++) { 1362 ierr = MatGetRow(pcbddc->ChangeOfBasisMatrix,i,&j,NULL,NULL);CHKERRQ(ierr); 1363 nnz[is_indices[i]]=j; 1364 if (k < j) k = j; 1365 ierr = MatRestoreRow(pcbddc->ChangeOfBasisMatrix,i,&j,NULL,NULL);CHKERRQ(ierr); 1366 } 1367 ierr = ISRestoreIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1368 /* assemble change of basis matrix on the whole set of local dofs */ 1369 ierr = PetscMalloc(k*sizeof(PetscInt),&temp_indices);CHKERRQ(ierr); 1370 ierr = MatCreate(PETSC_COMM_SELF,&change_mat_all);CHKERRQ(ierr); 1371 ierr = MatSetSizes(change_mat_all,pcis->n,pcis->n,pcis->n,pcis->n);CHKERRQ(ierr); 1372 ierr = MatSetType(change_mat_all,MATSEQAIJ);CHKERRQ(ierr); 1373 ierr = MatSeqAIJSetPreallocation(change_mat_all,0,nnz);CHKERRQ(ierr); 1374 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1375 for (i=0;i<n_D;i++) { 1376 ierr = MatSetValue(change_mat_all,is_indices[i],is_indices[i],1.0,INSERT_VALUES);CHKERRQ(ierr); 1377 } 1378 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1379 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1380 for (i=0;i<n_B;i++) { 1381 ierr = MatGetRow(pcbddc->ChangeOfBasisMatrix,i,&j,(const PetscInt**)&row_cmat_indices,(const PetscScalar**)&row_cmat_values);CHKERRQ(ierr); 1382 for (k=0; k<j; k++) temp_indices[k]=is_indices[row_cmat_indices[k]]; 1383 ierr = MatSetValues(change_mat_all,1,&is_indices[i],j,temp_indices,row_cmat_values,INSERT_VALUES);CHKERRQ(ierr); 1384 ierr = MatRestoreRow(pcbddc->ChangeOfBasisMatrix,i,&j,(const PetscInt**)&row_cmat_indices,(const PetscScalar**)&row_cmat_values);CHKERRQ(ierr); 1385 } 1386 ierr = MatAssemblyBegin(change_mat_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1387 ierr = MatAssemblyEnd(change_mat_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1388 /* TODO: HOW TO WORK WITH BAIJ? PtAP not provided */ 1389 ierr = MatGetBlockSize(matis->A,&i);CHKERRQ(ierr); 1390 if (i==1) { 1391 ierr = MatPtAP(matis->A,change_mat_all,MAT_INITIAL_MATRIX,1.0,&pcbddc->local_mat);CHKERRQ(ierr); 1392 } else { 1393 Mat work_mat; 1394 ierr = MatConvert(matis->A,MATSEQAIJ,MAT_INITIAL_MATRIX,&work_mat);CHKERRQ(ierr); 1395 ierr = MatPtAP(work_mat,change_mat_all,MAT_INITIAL_MATRIX,1.0,&pcbddc->local_mat);CHKERRQ(ierr); 1396 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 1397 } 1398 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 1399 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 1400 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 1401 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr); 1402 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr); 1403 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr); 1404 ierr = MatDestroy(&change_mat_all);CHKERRQ(ierr); 1405 ierr = PetscFree(nnz);CHKERRQ(ierr); 1406 ierr = PetscFree(temp_indices);CHKERRQ(ierr); 1407 } else { 1408 /* without change of basis, the local matrix is unchanged */ 1409 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1410 pcbddc->local_mat = matis->A; 1411 } 1412 /* Change global null space passed in by the user if change of basis has been requested */ 1413 if (pcbddc->NullSpace && pcbddc->use_change_of_basis) { 1414 ierr = PCBDDCNullSpaceAdaptGlobal(pc);CHKERRQ(ierr); 1415 } 1416 1417 /* Dohrmann's notation: dofs splitted in R (Remaining: all dofs but the vertices) and V (Vertices) */ 1418 ierr = VecSet(pcis->vec1_N,one);CHKERRQ(ierr); 1419 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1420 for (i=0;i<n_vertices;i++) array[vertices[i]] = zero; 1421 ierr = PetscMalloc(( pcis->n - n_vertices )*sizeof(PetscInt),&idx_R_local);CHKERRQ(ierr); 1422 for (i=0, n_R=0; i<pcis->n; i++) { 1423 if (array[i] == one) { 1424 idx_R_local[n_R] = i; 1425 n_R++; 1426 } 1427 } 1428 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1429 if (dbg_flag) { 1430 ierr = PetscViewerASCIIPrintf(viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 1431 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1432 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d local dimensions\n",PetscGlobalRank);CHKERRQ(ierr); 1433 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"local_size = %d, dirichlet_size = %d, boundary_size = %d\n",pcis->n,n_D,n_B);CHKERRQ(ierr); 1434 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"r_size = %d, v_size = %d, constraints = %d, local_primal_size = %d\n",n_R,n_vertices,n_constraints,pcbddc->local_primal_size);CHKERRQ(ierr); 1435 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"pcbddc->n_vertices = %d, pcbddc->n_constraints = %d\n",pcbddc->n_vertices,pcbddc->n_constraints);CHKERRQ(ierr); 1436 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1437 } 1438 1439 /* Allocate needed vectors */ 1440 ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr); 1441 ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr); 1442 ierr = VecDuplicate(pcis->vec1_D,&pcbddc->vec4_D);CHKERRQ(ierr); 1443 ierr = VecCreate(PETSC_COMM_SELF,&pcbddc->vec1_R);CHKERRQ(ierr); 1444 ierr = VecSetSizes(pcbddc->vec1_R,n_R,n_R);CHKERRQ(ierr); 1445 ierr = VecSetType(pcbddc->vec1_R,impVecType);CHKERRQ(ierr); 1446 ierr = VecDuplicate(pcbddc->vec1_R,&pcbddc->vec2_R);CHKERRQ(ierr); 1447 ierr = VecCreate(PETSC_COMM_SELF,&pcbddc->vec1_P);CHKERRQ(ierr); 1448 ierr = VecSetSizes(pcbddc->vec1_P,pcbddc->local_primal_size,pcbddc->local_primal_size);CHKERRQ(ierr); 1449 ierr = VecSetType(pcbddc->vec1_P,impVecType);CHKERRQ(ierr); 1450 1451 /* Creating some index sets needed */ 1452 /* For submatrices */ 1453 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_R,idx_R_local,PETSC_OWN_POINTER,&is_R_local);CHKERRQ(ierr); 1454 if (n_vertices) { 1455 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_vertices,vertices,PETSC_OWN_POINTER,&is_V_local);CHKERRQ(ierr); 1456 } 1457 if (n_constraints) { 1458 ierr = ISCreateStride(PETSC_COMM_SELF,n_constraints,n_vertices,1,&is_C_local);CHKERRQ(ierr); 1459 } 1460 1461 /* For VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */ 1462 { 1463 PetscInt *aux_array1; 1464 PetscInt *aux_array2; 1465 PetscInt *idx_I_local; 1466 1467 ierr = PetscMalloc( (pcis->n_B-n_vertices)*sizeof(PetscInt),&aux_array1);CHKERRQ(ierr); 1468 ierr = PetscMalloc( (pcis->n_B-n_vertices)*sizeof(PetscInt),&aux_array2);CHKERRQ(ierr); 1469 1470 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&idx_I_local);CHKERRQ(ierr); 1471 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1472 for (i=0; i<n_D; i++) array[idx_I_local[i]] = 0; 1473 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&idx_I_local);CHKERRQ(ierr); 1474 for (i=0, j=0; i<n_R; i++) { 1475 if (array[idx_R_local[i]] == one) { 1476 aux_array1[j] = i; 1477 j++; 1478 } 1479 } 1480 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1481 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_COPY_VALUES,&is_aux1);CHKERRQ(ierr); 1482 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1483 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1484 ierr = VecGetArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1485 for (i=0, j=0; i<n_B; i++) { 1486 if (array[i] == one) { 1487 aux_array2[j] = i; j++; 1488 } 1489 } 1490 ierr = VecRestoreArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1491 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array2,PETSC_COPY_VALUES,&is_aux2);CHKERRQ(ierr); 1492 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_B,is_aux2,&pcbddc->R_to_B);CHKERRQ(ierr); 1493 ierr = PetscFree(aux_array1);CHKERRQ(ierr); 1494 ierr = PetscFree(aux_array2);CHKERRQ(ierr); 1495 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1496 ierr = ISDestroy(&is_aux2);CHKERRQ(ierr); 1497 1498 if (pcbddc->inexact_prec_type || dbg_flag ) { 1499 ierr = PetscMalloc(n_D*sizeof(PetscInt),&aux_array1);CHKERRQ(ierr); 1500 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1501 for (i=0, j=0; i<n_R; i++) { 1502 if (array[idx_R_local[i]] == zero) { 1503 aux_array1[j] = i; 1504 j++; 1505 } 1506 } 1507 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1508 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_COPY_VALUES,&is_aux1);CHKERRQ(ierr); 1509 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_D,(IS)0,&pcbddc->R_to_D);CHKERRQ(ierr); 1510 ierr = PetscFree(aux_array1);CHKERRQ(ierr); 1511 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1512 } 1513 } 1514 1515 /* Creating PC contexts for local Dirichlet and Neumann problems */ 1516 { 1517 Mat A_RR; 1518 PC pc_temp; 1519 MatStructure matstruct; 1520 /* Matrix for Dirichlet problem is A_II */ 1521 /* HACK (TODO) A_II can be changed between nonlinear iterations */ 1522 ierr = PCGetOperators(pc,NULL,NULL,&matstruct);CHKERRQ(ierr); 1523 if (matstruct == SAME_NONZERO_PATTERN) { 1524 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_I_local,MAT_REUSE_MATRIX,&pcis->A_II);CHKERRQ(ierr); 1525 } else { 1526 ierr = MatDestroy(&pcis->A_II);CHKERRQ(ierr); 1527 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_II);CHKERRQ(ierr); 1528 } 1529 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_D);CHKERRQ(ierr); 1530 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D,(PetscObject)pc,1);CHKERRQ(ierr); 1531 ierr = KSPSetOperators(pcbddc->ksp_D,pcis->A_II,pcis->A_II,SAME_PRECONDITIONER);CHKERRQ(ierr); 1532 ierr = KSPSetType(pcbddc->ksp_D,KSPPREONLY);CHKERRQ(ierr); 1533 ierr = KSPSetOptionsPrefix(pcbddc->ksp_D,"dirichlet_");CHKERRQ(ierr); 1534 /* default */ 1535 ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr); 1536 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1537 /* Allow user's customization */ 1538 ierr = KSPSetFromOptions(pcbddc->ksp_D);CHKERRQ(ierr); 1539 /* umfpack interface has a bug when matrix dimension is zero */ 1540 if (!n_D) { 1541 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1542 } 1543 /* Set Up KSP for Dirichlet problem of BDDC */ 1544 ierr = KSPSetUp(pcbddc->ksp_D);CHKERRQ(ierr); 1545 /* set ksp_D into pcis data */ 1546 ierr = KSPDestroy(&pcis->ksp_D);CHKERRQ(ierr); 1547 ierr = PetscObjectReference((PetscObject)pcbddc->ksp_D);CHKERRQ(ierr); 1548 pcis->ksp_D = pcbddc->ksp_D; 1549 /* Matrix for Neumann problem is A_RR -> we need to create it */ 1550 ierr = MatGetSubMatrix(pcbddc->local_mat,is_R_local,is_R_local,MAT_INITIAL_MATRIX,&A_RR);CHKERRQ(ierr); 1551 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_R);CHKERRQ(ierr); 1552 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R,(PetscObject)pc,1);CHKERRQ(ierr); 1553 ierr = KSPSetOperators(pcbddc->ksp_R,A_RR,A_RR,SAME_PRECONDITIONER);CHKERRQ(ierr); 1554 ierr = KSPSetType(pcbddc->ksp_R,KSPPREONLY);CHKERRQ(ierr); 1555 ierr = KSPSetOptionsPrefix(pcbddc->ksp_R,"neumann_");CHKERRQ(ierr); 1556 /* default */ 1557 ierr = KSPGetPC(pcbddc->ksp_R,&pc_temp);CHKERRQ(ierr); 1558 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1559 /* Allow user's customization */ 1560 ierr = KSPSetFromOptions(pcbddc->ksp_R);CHKERRQ(ierr); 1561 /* umfpack interface has a bug when matrix dimension is zero */ 1562 if (!n_R) { 1563 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1564 } 1565 /* Set Up KSP for Neumann problem of BDDC */ 1566 ierr = KSPSetUp(pcbddc->ksp_R);CHKERRQ(ierr); 1567 /* check Dirichlet and Neumann solvers and adapt them if a nullspace correction is needed */ 1568 { 1569 Vec temp_vec; 1570 PetscReal value; 1571 PetscMPIInt use_exact,use_exact_reduced; 1572 1573 ierr = VecDuplicate(pcis->vec1_D,&temp_vec);CHKERRQ(ierr); 1574 ierr = VecSetRandom(pcis->vec1_D,NULL);CHKERRQ(ierr); 1575 ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1576 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec2_D,temp_vec);CHKERRQ(ierr); 1577 ierr = VecAXPY(temp_vec,m_one,pcis->vec1_D);CHKERRQ(ierr); 1578 ierr = VecNorm(temp_vec,NORM_INFINITY,&value);CHKERRQ(ierr); 1579 ierr = VecDestroy(&temp_vec);CHKERRQ(ierr); 1580 use_exact = 1; 1581 if (PetscAbsReal(value) > 1.e-4) use_exact = 0; 1582 1583 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_INT,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1584 pcbddc->use_exact_dirichlet = (PetscBool) use_exact_reduced; 1585 if (dbg_flag) { 1586 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1587 ierr = PetscViewerASCIIPrintf(viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 1588 ierr = PetscViewerASCIIPrintf(viewer,"Checking solution of Dirichlet and Neumann problems\n");CHKERRQ(ierr); 1589 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d infinity error for Dirichlet solve = % 1.14e \n",PetscGlobalRank,value);CHKERRQ(ierr); 1590 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1591 } 1592 if (n_D && pcbddc->NullSpace && !use_exact_reduced && !pcbddc->inexact_prec_type) { 1593 ierr = PCBDDCNullSpaceAssembleCorrection(pc,pcis->is_I_local); 1594 } 1595 ierr = VecDuplicate(pcbddc->vec1_R,&temp_vec);CHKERRQ(ierr); 1596 ierr = VecSetRandom(pcbddc->vec1_R,NULL);CHKERRQ(ierr); 1597 ierr = MatMult(A_RR,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 1598 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec2_R,temp_vec);CHKERRQ(ierr); 1599 ierr = VecAXPY(temp_vec,m_one,pcbddc->vec1_R);CHKERRQ(ierr); 1600 ierr = VecNorm(temp_vec,NORM_INFINITY,&value);CHKERRQ(ierr); 1601 ierr = VecDestroy(&temp_vec);CHKERRQ(ierr); 1602 use_exact = 1; 1603 if (PetscAbsReal(value) > 1.e-4) use_exact = 0; 1604 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_INT,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1605 if (dbg_flag) { 1606 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d infinity error for Neumann solve = % 1.14e \n",PetscGlobalRank,value);CHKERRQ(ierr); 1607 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1608 } 1609 if (n_R && pcbddc->NullSpace && !use_exact_reduced) { 1610 ierr = PCBDDCNullSpaceAssembleCorrection(pc,is_R_local); 1611 } 1612 } 1613 /* free Neumann problem's matrix */ 1614 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1615 } 1616 1617 /* Assemble all remaining stuff needed to apply BDDC */ 1618 { 1619 Mat A_RV,A_VR,A_VV; 1620 Mat M1; 1621 Mat C_CR; 1622 Mat AUXMAT; 1623 Vec vec1_C; 1624 Vec vec2_C; 1625 Vec vec1_V; 1626 Vec vec2_V; 1627 PetscInt *nnz; 1628 PetscInt *auxindices; 1629 PetscInt index; 1630 PetscScalar* array2; 1631 MatFactorInfo matinfo; 1632 1633 /* Allocating some extra storage just to be safe */ 1634 ierr = PetscMalloc (pcis->n*sizeof(PetscInt),&nnz);CHKERRQ(ierr); 1635 ierr = PetscMalloc (pcis->n*sizeof(PetscInt),&auxindices);CHKERRQ(ierr); 1636 for (i=0;i<pcis->n;i++) auxindices[i]=i; 1637 1638 /* some work vectors on vertices and/or constraints */ 1639 if (n_vertices) { 1640 ierr = VecCreate(PETSC_COMM_SELF,&vec1_V);CHKERRQ(ierr); 1641 ierr = VecSetSizes(vec1_V,n_vertices,n_vertices);CHKERRQ(ierr); 1642 ierr = VecSetType(vec1_V,impVecType);CHKERRQ(ierr); 1643 ierr = VecDuplicate(vec1_V,&vec2_V);CHKERRQ(ierr); 1644 } 1645 if (n_constraints) { 1646 ierr = VecCreate(PETSC_COMM_SELF,&vec1_C);CHKERRQ(ierr); 1647 ierr = VecSetSizes(vec1_C,n_constraints,n_constraints);CHKERRQ(ierr); 1648 ierr = VecSetType(vec1_C,impVecType);CHKERRQ(ierr); 1649 ierr = VecDuplicate(vec1_C,&vec2_C);CHKERRQ(ierr); 1650 ierr = VecDuplicate(vec1_C,&pcbddc->vec1_C);CHKERRQ(ierr); 1651 } 1652 /* Precompute stuffs needed for preprocessing and application of BDDC*/ 1653 if (n_constraints) { 1654 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->local_auxmat2);CHKERRQ(ierr); 1655 ierr = MatSetSizes(pcbddc->local_auxmat2,n_R,n_constraints,n_R,n_constraints);CHKERRQ(ierr); 1656 ierr = MatSetType(pcbddc->local_auxmat2,impMatType);CHKERRQ(ierr); 1657 ierr = MatSeqDenseSetPreallocation(pcbddc->local_auxmat2,NULL);CHKERRQ(ierr); 1658 1659 /* Create Constraint matrix on R nodes: C_{CR} */ 1660 ierr = MatGetSubMatrix(pcbddc->ConstraintMatrix,is_C_local,is_R_local,MAT_INITIAL_MATRIX,&C_CR);CHKERRQ(ierr); 1661 ierr = ISDestroy(&is_C_local);CHKERRQ(ierr); 1662 1663 /* Assemble local_auxmat2 = - A_{RR}^{-1} C^T_{CR} needed by BDDC application */ 1664 for (i=0;i<n_constraints;i++) { 1665 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); 1666 /* Get row of constraint matrix in R numbering */ 1667 ierr = VecGetArray(pcbddc->vec1_R,&array);CHKERRQ(ierr); 1668 ierr = MatGetRow(C_CR,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,(const PetscScalar**)&row_cmat_values);CHKERRQ(ierr); 1669 for (j=0;j<size_of_constraint;j++) array[row_cmat_indices[j]] = -row_cmat_values[j]; 1670 ierr = MatRestoreRow(C_CR,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,(const PetscScalar**)&row_cmat_values);CHKERRQ(ierr); 1671 ierr = VecRestoreArray(pcbddc->vec1_R,&array);CHKERRQ(ierr); 1672 1673 /* Solve for row of constraint matrix in R numbering */ 1674 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 1675 1676 /* Set values */ 1677 ierr = VecGetArray(pcbddc->vec2_R,&array);CHKERRQ(ierr); 1678 ierr = MatSetValues(pcbddc->local_auxmat2,n_R,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 1679 ierr = VecRestoreArray(pcbddc->vec2_R,&array);CHKERRQ(ierr); 1680 } 1681 ierr = MatAssemblyBegin(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1682 ierr = MatAssemblyEnd(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1683 1684 /* Assemble AUXMAT = ( LUFactor )( -C_{CR} A_{RR}^{-1} C^T_{CR} )^{-1} */ 1685 ierr = MatMatMult(C_CR,pcbddc->local_auxmat2,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&AUXMAT);CHKERRQ(ierr); 1686 ierr = MatFactorInfoInitialize(&matinfo);CHKERRQ(ierr); 1687 ierr = ISCreateStride(PETSC_COMM_SELF,n_constraints,0,1,&is_aux1);CHKERRQ(ierr); 1688 ierr = MatLUFactor(AUXMAT,is_aux1,is_aux1,&matinfo);CHKERRQ(ierr); 1689 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1690 1691 /* Assemble explicitly M1 = ( C_{CR} A_{RR}^{-1} C^T_{CR} )^{-1} needed in preproc */ 1692 ierr = MatCreate(PETSC_COMM_SELF,&M1);CHKERRQ(ierr); 1693 ierr = MatSetSizes(M1,n_constraints,n_constraints,n_constraints,n_constraints);CHKERRQ(ierr); 1694 ierr = MatSetType(M1,impMatType);CHKERRQ(ierr); 1695 ierr = MatSeqDenseSetPreallocation(M1,NULL);CHKERRQ(ierr); 1696 for (i=0;i<n_constraints;i++) { 1697 ierr = VecSet(vec1_C,zero);CHKERRQ(ierr); 1698 ierr = VecSetValue(vec1_C,i,one,INSERT_VALUES);CHKERRQ(ierr); 1699 ierr = VecAssemblyBegin(vec1_C);CHKERRQ(ierr); 1700 ierr = VecAssemblyEnd(vec1_C);CHKERRQ(ierr); 1701 ierr = MatSolve(AUXMAT,vec1_C,vec2_C);CHKERRQ(ierr); 1702 ierr = VecScale(vec2_C,m_one);CHKERRQ(ierr); 1703 ierr = VecGetArray(vec2_C,&array);CHKERRQ(ierr); 1704 ierr = MatSetValues(M1,n_constraints,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 1705 ierr = VecRestoreArray(vec2_C,&array);CHKERRQ(ierr); 1706 } 1707 ierr = MatAssemblyBegin(M1,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1708 ierr = MatAssemblyEnd(M1,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1709 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 1710 /* Assemble local_auxmat1 = M1*C_{CR} needed by BDDC application in KSP and in preproc */ 1711 ierr = MatMatMult(M1,C_CR,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&pcbddc->local_auxmat1);CHKERRQ(ierr); 1712 1713 } 1714 1715 /* Get submatrices from subdomain matrix */ 1716 if (n_vertices){ 1717 ierr = MatGetSubMatrix(pcbddc->local_mat,is_R_local,is_V_local,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 1718 ierr = MatGetSubMatrix(pcbddc->local_mat,is_V_local,is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 1719 ierr = MatGetSubMatrix(pcbddc->local_mat,is_V_local,is_V_local,MAT_INITIAL_MATRIX,&A_VV);CHKERRQ(ierr); 1720 } 1721 1722 /* Matrix of coarse basis functions (local) */ 1723 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_B);CHKERRQ(ierr); 1724 ierr = MatSetSizes(pcbddc->coarse_phi_B,n_B,pcbddc->local_primal_size,n_B,pcbddc->local_primal_size);CHKERRQ(ierr); 1725 ierr = MatSetType(pcbddc->coarse_phi_B,impMatType);CHKERRQ(ierr); 1726 ierr = MatSeqDenseSetPreallocation(pcbddc->coarse_phi_B,NULL);CHKERRQ(ierr); 1727 if (pcbddc->inexact_prec_type || dbg_flag ) { 1728 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_D);CHKERRQ(ierr); 1729 ierr = MatSetSizes(pcbddc->coarse_phi_D,n_D,pcbddc->local_primal_size,n_D,pcbddc->local_primal_size);CHKERRQ(ierr); 1730 ierr = MatSetType(pcbddc->coarse_phi_D,impMatType);CHKERRQ(ierr); 1731 ierr = MatSeqDenseSetPreallocation(pcbddc->coarse_phi_D,NULL);CHKERRQ(ierr); 1732 } 1733 1734 if (dbg_flag) { 1735 ierr = PetscMalloc( pcbddc->local_primal_size*sizeof(PetscScalar),&coarsefunctions_errors);CHKERRQ(ierr); 1736 ierr = PetscMalloc( pcbddc->local_primal_size*sizeof(PetscScalar),&constraints_errors);CHKERRQ(ierr); 1737 } 1738 /* Subdomain contribution (Non-overlapping) to coarse matrix */ 1739 ierr = PetscMalloc ((pcbddc->local_primal_size)*(pcbddc->local_primal_size)*sizeof(PetscScalar),&coarse_submat_vals);CHKERRQ(ierr); 1740 1741 /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */ 1742 for (i=0;i<n_vertices;i++){ 1743 ierr = VecSet(vec1_V,zero);CHKERRQ(ierr); 1744 ierr = VecSetValue(vec1_V,i,one,INSERT_VALUES);CHKERRQ(ierr); 1745 ierr = VecAssemblyBegin(vec1_V);CHKERRQ(ierr); 1746 ierr = VecAssemblyEnd(vec1_V);CHKERRQ(ierr); 1747 /* solution of saddle point problem */ 1748 ierr = MatMult(A_RV,vec1_V,pcbddc->vec1_R);CHKERRQ(ierr); 1749 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 1750 ierr = VecScale(pcbddc->vec1_R,m_one);CHKERRQ(ierr); 1751 if (n_constraints) { 1752 ierr = MatMult(pcbddc->local_auxmat1,pcbddc->vec1_R,vec1_C);CHKERRQ(ierr); 1753 ierr = MatMultAdd(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 1754 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 1755 } 1756 ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); 1757 ierr = MatMultAdd(A_VV,vec1_V,vec2_V,vec2_V);CHKERRQ(ierr); 1758 1759 /* Set values in coarse basis function and subdomain part of coarse_mat */ 1760 /* coarse basis functions */ 1761 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1762 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1763 ierr = VecScatterEnd (pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1764 ierr = VecGetArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1765 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 1766 ierr = VecRestoreArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1767 ierr = MatSetValue(pcbddc->coarse_phi_B,idx_V_B[i],i,one,INSERT_VALUES);CHKERRQ(ierr); 1768 if ( pcbddc->inexact_prec_type || dbg_flag ) { 1769 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1770 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1771 ierr = VecGetArray(pcis->vec1_D,&array);CHKERRQ(ierr); 1772 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 1773 ierr = VecRestoreArray(pcis->vec1_D,&array);CHKERRQ(ierr); 1774 } 1775 /* subdomain contribution to coarse matrix */ 1776 ierr = VecGetArray(vec2_V,&array);CHKERRQ(ierr); 1777 for (j=0; j<n_vertices; j++) coarse_submat_vals[i*pcbddc->local_primal_size+j] = array[j]; /* WARNING -> column major ordering */ 1778 ierr = VecRestoreArray(vec2_V,&array);CHKERRQ(ierr); 1779 if (n_constraints) { 1780 ierr = VecGetArray(vec1_C,&array);CHKERRQ(ierr); 1781 for (j=0; j<n_constraints; j++) coarse_submat_vals[i*pcbddc->local_primal_size+j+n_vertices] = array[j]; /* WARNING -> column major ordering */ 1782 ierr = VecRestoreArray(vec1_C,&array);CHKERRQ(ierr); 1783 } 1784 1785 if ( dbg_flag ) { 1786 /* assemble subdomain vector on nodes */ 1787 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 1788 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1789 ierr = VecGetArray(pcbddc->vec1_R,&array2);CHKERRQ(ierr); 1790 for (j=0;j<n_R;j++) array[idx_R_local[j]] = array2[j]; 1791 array[ vertices[i] ] = one; 1792 ierr = VecRestoreArray(pcbddc->vec1_R,&array2);CHKERRQ(ierr); 1793 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1794 /* assemble subdomain vector of lagrange multipliers (i.e. primal nodes) */ 1795 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 1796 ierr = VecGetArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1797 ierr = VecGetArray(vec2_V,&array);CHKERRQ(ierr); 1798 for (j=0;j<n_vertices;j++) array2[j]=array[j]; 1799 ierr = VecRestoreArray(vec2_V,&array);CHKERRQ(ierr); 1800 if (n_constraints) { 1801 ierr = VecGetArray(vec1_C,&array);CHKERRQ(ierr); 1802 for (j=0;j<n_constraints;j++) array2[j+n_vertices]=array[j]; 1803 ierr = VecRestoreArray(vec1_C,&array);CHKERRQ(ierr); 1804 } 1805 ierr = VecRestoreArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1806 ierr = VecScale(pcbddc->vec1_P,m_one);CHKERRQ(ierr); 1807 /* check saddle point solution */ 1808 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1809 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 1810 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[i]);CHKERRQ(ierr); 1811 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 1812 ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1813 array[i]=array[i]+m_one; /* shift by the identity matrix */ 1814 ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1815 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[i]);CHKERRQ(ierr); 1816 } 1817 } 1818 1819 for (i=0;i<n_constraints;i++){ 1820 ierr = VecSet(vec2_C,zero);CHKERRQ(ierr); 1821 ierr = VecSetValue(vec2_C,i,m_one,INSERT_VALUES);CHKERRQ(ierr); 1822 ierr = VecAssemblyBegin(vec2_C);CHKERRQ(ierr); 1823 ierr = VecAssemblyEnd(vec2_C);CHKERRQ(ierr); 1824 /* solution of saddle point problem */ 1825 ierr = MatMult(M1,vec2_C,vec1_C);CHKERRQ(ierr); 1826 ierr = MatMult(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R);CHKERRQ(ierr); 1827 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 1828 if (n_vertices) { ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); } 1829 /* Set values in coarse basis function and subdomain part of coarse_mat */ 1830 /* coarse basis functions */ 1831 index=i+n_vertices; 1832 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1833 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1834 ierr = VecScatterEnd (pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1835 ierr = VecGetArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1836 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&index,array,INSERT_VALUES);CHKERRQ(ierr); 1837 ierr = VecRestoreArray(pcis->vec1_B,&array);CHKERRQ(ierr); 1838 if ( pcbddc->inexact_prec_type || dbg_flag ) { 1839 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1840 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1841 ierr = VecGetArray(pcis->vec1_D,&array);CHKERRQ(ierr); 1842 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&index,array,INSERT_VALUES);CHKERRQ(ierr); 1843 ierr = VecRestoreArray(pcis->vec1_D,&array);CHKERRQ(ierr); 1844 } 1845 /* subdomain contribution to coarse matrix */ 1846 if (n_vertices) { 1847 ierr = VecGetArray(vec2_V,&array);CHKERRQ(ierr); 1848 for (j=0; j<n_vertices; j++) coarse_submat_vals[index*pcbddc->local_primal_size+j]=array[j]; /* WARNING -> column major ordering */ 1849 ierr = VecRestoreArray(vec2_V,&array);CHKERRQ(ierr); 1850 } 1851 ierr = VecGetArray(vec1_C,&array);CHKERRQ(ierr); 1852 for (j=0; j<n_constraints; j++) coarse_submat_vals[index*pcbddc->local_primal_size+j+n_vertices]=array[j]; /* WARNING -> column major ordering */ 1853 ierr = VecRestoreArray(vec1_C,&array);CHKERRQ(ierr); 1854 1855 if ( dbg_flag ) { 1856 /* assemble subdomain vector on nodes */ 1857 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 1858 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1859 ierr = VecGetArray(pcbddc->vec1_R,&array2);CHKERRQ(ierr); 1860 for (j=0;j<n_R;j++) array[idx_R_local[j]] = array2[j]; 1861 ierr = VecRestoreArray(pcbddc->vec1_R,&array2);CHKERRQ(ierr); 1862 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1863 /* assemble subdomain vector of lagrange multipliers */ 1864 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 1865 ierr = VecGetArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1866 if ( n_vertices) { 1867 ierr = VecGetArray(vec2_V,&array);CHKERRQ(ierr); 1868 for (j=0;j<n_vertices;j++) array2[j]=-array[j]; 1869 ierr = VecRestoreArray(vec2_V,&array);CHKERRQ(ierr); 1870 } 1871 ierr = VecGetArray(vec1_C,&array);CHKERRQ(ierr); 1872 for (j=0;j<n_constraints;j++) {array2[j+n_vertices]=-array[j];} 1873 ierr = VecRestoreArray(vec1_C,&array);CHKERRQ(ierr); 1874 ierr = VecRestoreArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1875 /* check saddle point solution */ 1876 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1877 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 1878 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[index]);CHKERRQ(ierr); 1879 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 1880 ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1881 array[index]=array[index]+m_one; /* shift by the identity matrix */ 1882 ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1883 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[index]);CHKERRQ(ierr); 1884 } 1885 } 1886 ierr = MatAssemblyBegin(pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1887 ierr = MatAssemblyEnd (pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1888 if ( pcbddc->inexact_prec_type || dbg_flag ) { 1889 ierr = MatAssemblyBegin(pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1890 ierr = MatAssemblyEnd (pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1891 } 1892 /* Checking coarse_sub_mat and coarse basis functios */ 1893 /* It shuld be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */ 1894 if (dbg_flag) { 1895 Mat coarse_sub_mat; 1896 Mat TM1,TM2,TM3,TM4; 1897 Mat coarse_phi_D,coarse_phi_B,A_II,A_BB,A_IB,A_BI; 1898 MatType checkmattype=MATSEQAIJ; 1899 PetscScalar value; 1900 1901 ierr = MatConvert(pcis->A_II,checkmattype,MAT_INITIAL_MATRIX,&A_II);CHKERRQ(ierr); 1902 ierr = MatConvert(pcis->A_IB,checkmattype,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 1903 ierr = MatConvert(pcis->A_BI,checkmattype,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 1904 ierr = MatConvert(pcis->A_BB,checkmattype,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 1905 ierr = MatConvert(pcbddc->coarse_phi_D,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_D);CHKERRQ(ierr); 1906 ierr = MatConvert(pcbddc->coarse_phi_B,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_B);CHKERRQ(ierr); 1907 ierr = MatCreateSeqDense(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_size,coarse_submat_vals,&coarse_sub_mat);CHKERRQ(ierr); 1908 ierr = MatConvert(coarse_sub_mat,checkmattype,MAT_REUSE_MATRIX,&coarse_sub_mat);CHKERRQ(ierr); 1909 1910 ierr = PetscViewerASCIIPrintf(viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 1911 ierr = PetscViewerASCIIPrintf(viewer,"Check coarse sub mat and local basis functions\n");CHKERRQ(ierr); 1912 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1913 ierr = MatPtAP(A_II,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&TM1);CHKERRQ(ierr); 1914 ierr = MatPtAP(A_BB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&TM2);CHKERRQ(ierr); 1915 ierr = MatMatMult(A_IB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 1916 ierr = MatTransposeMatMult(coarse_phi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM3);CHKERRQ(ierr); 1917 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 1918 ierr = MatMatMult(A_BI,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 1919 ierr = MatTransposeMatMult(coarse_phi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM4);CHKERRQ(ierr); 1920 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 1921 ierr = MatAXPY(TM1,one,TM2,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 1922 ierr = MatAXPY(TM1,one,TM3,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 1923 ierr = MatAXPY(TM1,one,TM4,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 1924 ierr = MatAXPY(TM1,m_one,coarse_sub_mat,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 1925 ierr = MatNorm(TM1,NORM_INFINITY,&value);CHKERRQ(ierr); 1926 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"----------------------------------\n");CHKERRQ(ierr); 1927 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d \n",PetscGlobalRank);CHKERRQ(ierr); 1928 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"matrix error = % 1.14e\n",value);CHKERRQ(ierr); 1929 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"coarse functions errors\n");CHKERRQ(ierr); 1930 for (i=0;i<pcbddc->local_primal_size;i++) { ierr = PetscViewerASCIISynchronizedPrintf(viewer,"local %02d-th function error = % 1.14e\n",i,coarsefunctions_errors[i]);CHKERRQ(ierr); } 1931 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"constraints errors\n");CHKERRQ(ierr); 1932 for (i=0;i<pcbddc->local_primal_size;i++) { ierr = PetscViewerASCIISynchronizedPrintf(viewer,"local %02d-th function error = % 1.14e\n",i,constraints_errors[i]);CHKERRQ(ierr); } 1933 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 1934 ierr = MatDestroy(&A_II);CHKERRQ(ierr); 1935 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1936 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1937 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1938 ierr = MatDestroy(&TM1);CHKERRQ(ierr); 1939 ierr = MatDestroy(&TM2);CHKERRQ(ierr); 1940 ierr = MatDestroy(&TM3);CHKERRQ(ierr); 1941 ierr = MatDestroy(&TM4);CHKERRQ(ierr); 1942 ierr = MatDestroy(&coarse_phi_D);CHKERRQ(ierr); 1943 ierr = MatDestroy(&coarse_sub_mat);CHKERRQ(ierr); 1944 ierr = MatDestroy(&coarse_phi_B);CHKERRQ(ierr); 1945 ierr = PetscFree(coarsefunctions_errors);CHKERRQ(ierr); 1946 ierr = PetscFree(constraints_errors);CHKERRQ(ierr); 1947 } 1948 /* free memory */ 1949 if (n_vertices) { 1950 ierr = VecDestroy(&vec1_V);CHKERRQ(ierr); 1951 ierr = VecDestroy(&vec2_V);CHKERRQ(ierr); 1952 ierr = MatDestroy(&A_RV);CHKERRQ(ierr); 1953 ierr = MatDestroy(&A_VR);CHKERRQ(ierr); 1954 ierr = MatDestroy(&A_VV);CHKERRQ(ierr); 1955 } 1956 if (n_constraints) { 1957 ierr = VecDestroy(&vec1_C);CHKERRQ(ierr); 1958 ierr = VecDestroy(&vec2_C);CHKERRQ(ierr); 1959 ierr = MatDestroy(&M1);CHKERRQ(ierr); 1960 ierr = MatDestroy(&C_CR);CHKERRQ(ierr); 1961 } 1962 ierr = PetscFree(auxindices);CHKERRQ(ierr); 1963 ierr = PetscFree(nnz);CHKERRQ(ierr); 1964 /* create coarse matrix and data structures for message passing associated actual choice of coarse problem type */ 1965 ierr = PCBDDCSetUpCoarseEnvironment(pc,coarse_submat_vals);CHKERRQ(ierr); 1966 ierr = PetscFree(coarse_submat_vals);CHKERRQ(ierr); 1967 } 1968 /* free memory */ 1969 if (n_vertices) { 1970 ierr = ISDestroy(&is_V_local);CHKERRQ(ierr); 1971 } 1972 ierr = PetscFree(idx_V_B);CHKERRQ(ierr); 1973 ierr = ISLocalToGlobalMappingDestroy(&BtoNmap);CHKERRQ(ierr); 1974 ierr = ISDestroy(&is_R_local);CHKERRQ(ierr); 1975 1976 PetscFunctionReturn(0); 1977 } 1978 1979 /* -------------------------------------------------------------------------- */ 1980 1981 #undef __FUNCT__ 1982 #define __FUNCT__ "PCBDDCSetUpCoarseEnvironment" 1983 static PetscErrorCode PCBDDCSetUpCoarseEnvironment(PC pc,PetscScalar* coarse_submat_vals) 1984 { 1985 1986 1987 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 1988 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1989 PC_IS *pcis = (PC_IS*)pc->data; 1990 MPI_Comm prec_comm; 1991 MPI_Comm coarse_comm; 1992 1993 MatNullSpace CoarseNullSpace; 1994 1995 /* common to all choiches */ 1996 PetscScalar *temp_coarse_mat_vals; 1997 PetscScalar *ins_coarse_mat_vals; 1998 PetscInt *ins_local_primal_indices; 1999 PetscMPIInt *localsizes2,*localdispl2; 2000 PetscMPIInt size_prec_comm; 2001 PetscMPIInt rank_prec_comm; 2002 PetscMPIInt active_rank=MPI_PROC_NULL; 2003 PetscMPIInt master_proc=0; 2004 PetscInt ins_local_primal_size; 2005 /* specific to MULTILEVEL_BDDC */ 2006 PetscMPIInt *ranks_recv; 2007 PetscMPIInt count_recv=0; 2008 PetscMPIInt rank_coarse_proc_send_to; 2009 PetscMPIInt coarse_color = MPI_UNDEFINED; 2010 ISLocalToGlobalMapping coarse_ISLG; 2011 /* some other variables */ 2012 PetscErrorCode ierr; 2013 MatType coarse_mat_type; 2014 PCType coarse_pc_type; 2015 KSPType coarse_ksp_type; 2016 PC pc_temp; 2017 PetscInt i,j,k; 2018 PetscInt max_it_coarse_ksp=1; /* don't increase this value */ 2019 /* verbose output viewer */ 2020 PetscViewer viewer=pcbddc->dbg_viewer; 2021 PetscBool dbg_flag=pcbddc->dbg_flag; 2022 2023 PetscInt offset,offset2; 2024 PetscMPIInt im_active,active_procs; 2025 PetscInt *dnz,*onz; 2026 2027 PetscBool setsym,issym=PETSC_FALSE; 2028 2029 PetscFunctionBegin; 2030 ierr = PetscObjectGetComm((PetscObject)pc,&prec_comm);CHKERRQ(ierr); 2031 ins_local_primal_indices = 0; 2032 ins_coarse_mat_vals = 0; 2033 localsizes2 = 0; 2034 localdispl2 = 0; 2035 temp_coarse_mat_vals = 0; 2036 coarse_ISLG = 0; 2037 2038 ierr = MPI_Comm_size(prec_comm,&size_prec_comm);CHKERRQ(ierr); 2039 ierr = MPI_Comm_rank(prec_comm,&rank_prec_comm);CHKERRQ(ierr); 2040 ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&issym);CHKERRQ(ierr); 2041 2042 /* Assign global numbering to coarse dofs */ 2043 { 2044 PetscInt *auxlocal_primal,*aux_idx; 2045 PetscMPIInt mpi_local_primal_size; 2046 PetscScalar coarsesum,*array; 2047 2048 mpi_local_primal_size = (PetscMPIInt)pcbddc->local_primal_size; 2049 2050 /* Construct needed data structures for message passing */ 2051 j = 0; 2052 if (rank_prec_comm == 0 || pcbddc->coarse_problem_type == REPLICATED_BDDC || pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2053 j = size_prec_comm; 2054 } 2055 ierr = PetscMalloc(j*sizeof(PetscMPIInt),&pcbddc->local_primal_sizes);CHKERRQ(ierr); 2056 ierr = PetscMalloc(j*sizeof(PetscMPIInt),&pcbddc->local_primal_displacements);CHKERRQ(ierr); 2057 /* Gather local_primal_size information for all processes */ 2058 if (pcbddc->coarse_problem_type == REPLICATED_BDDC || pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2059 ierr = MPI_Allgather(&mpi_local_primal_size,1,MPIU_INT,&pcbddc->local_primal_sizes[0],1,MPIU_INT,prec_comm);CHKERRQ(ierr); 2060 } else { 2061 ierr = MPI_Gather(&mpi_local_primal_size,1,MPIU_INT,&pcbddc->local_primal_sizes[0],1,MPIU_INT,0,prec_comm);CHKERRQ(ierr); 2062 } 2063 pcbddc->replicated_primal_size = 0; 2064 for (i=0; i<j; i++) { 2065 pcbddc->local_primal_displacements[i] = pcbddc->replicated_primal_size ; 2066 pcbddc->replicated_primal_size += pcbddc->local_primal_sizes[i]; 2067 } 2068 2069 /* First let's count coarse dofs. 2070 This code fragment assumes that the number of local constraints per connected component 2071 is not greater than the number of nodes defined for the connected component 2072 (otherwise we will surely have linear dependence between constraints and thus a singular coarse problem) */ 2073 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscInt),&auxlocal_primal);CHKERRQ(ierr); 2074 ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&i,&aux_idx);CHKERRQ(ierr); 2075 ierr = PetscMemcpy(auxlocal_primal,aux_idx,i*sizeof(PetscInt));CHKERRQ(ierr); 2076 ierr = PetscFree(aux_idx);CHKERRQ(ierr); 2077 ierr = PCBDDCGetPrimalConstraintsLocalIdx(pc,&j,&aux_idx);CHKERRQ(ierr); 2078 ierr = PetscMemcpy(&auxlocal_primal[i],aux_idx,j*sizeof(PetscInt));CHKERRQ(ierr); 2079 ierr = PetscFree(aux_idx);CHKERRQ(ierr); 2080 /* Compute number of coarse dofs */ 2081 ierr = PCBDDCSubsetNumbering(prec_comm,matis->mapping,pcbddc->local_primal_size,auxlocal_primal,NULL,&pcbddc->coarse_size,&pcbddc->local_primal_indices);CHKERRQ(ierr); 2082 2083 if (dbg_flag) { 2084 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2085 ierr = PetscViewerASCIIPrintf(viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 2086 ierr = PetscViewerASCIIPrintf(viewer,"Check coarse indices\n");CHKERRQ(ierr); 2087 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 2088 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 2089 for (i=0;i<pcbddc->local_primal_size;i++) array[auxlocal_primal[i]]=1.0; 2090 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 2091 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 2092 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2093 ierr = VecScatterEnd (matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2094 ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2095 ierr = VecScatterEnd (matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2096 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 2097 for (i=0;i<pcis->n;i++) { 2098 if (array[i] == 1.0) { 2099 ierr = ISLocalToGlobalMappingApply(matis->mapping,1,&i,&j);CHKERRQ(ierr); 2100 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d: WRONG COARSE INDEX %d (local %d)\n",PetscGlobalRank,j,i);CHKERRQ(ierr); 2101 } 2102 } 2103 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2104 for (i=0;i<pcis->n;i++) { 2105 if (array[i] > 0.0) array[i] = 1.0/array[i]; 2106 } 2107 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 2108 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 2109 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2110 ierr = VecScatterEnd (matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2111 ierr = VecSum(pcis->vec1_global,&coarsesum);CHKERRQ(ierr); 2112 ierr = PetscViewerASCIIPrintf(viewer,"Size of coarse problem SHOULD be %lf\n",coarsesum);CHKERRQ(ierr); 2113 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2114 } 2115 ierr = PetscFree(auxlocal_primal);CHKERRQ(ierr); 2116 } 2117 2118 if (dbg_flag) { 2119 ierr = PetscViewerASCIIPrintf(viewer,"Size of coarse problem is %d\n",pcbddc->coarse_size);CHKERRQ(ierr); 2120 ierr = PetscViewerASCIIPrintf(viewer,"Distribution of local primal indices\n");CHKERRQ(ierr); 2121 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2122 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d\n",PetscGlobalRank);CHKERRQ(ierr); 2123 for (i=0;i<pcbddc->local_primal_size;i++) { 2124 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"local_primal_indices[%d]=%d \n",i,pcbddc->local_primal_indices[i]); 2125 } 2126 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2127 } 2128 2129 im_active = 0; 2130 if (pcis->n) im_active = 1; 2131 ierr = MPI_Allreduce(&im_active,&active_procs,1,MPIU_INT,MPI_SUM,prec_comm);CHKERRQ(ierr); 2132 2133 /* adapt coarse problem type */ 2134 if (pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2135 if (pcbddc->current_level < pcbddc->max_levels) { 2136 if ( (active_procs/pcbddc->coarsening_ratio) < 2 ) { 2137 if (dbg_flag) { 2138 ierr = PetscViewerASCIIPrintf(viewer,"Not enough active processes on level %d (active %d,ratio %d). Parallel direct solve for coarse problem\n",pcbddc->current_level,active_procs,pcbddc->coarsening_ratio);CHKERRQ(ierr); 2139 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2140 } 2141 pcbddc->coarse_problem_type = PARALLEL_BDDC; 2142 } 2143 } else { 2144 if (dbg_flag) { 2145 ierr = PetscViewerASCIIPrintf(viewer,"Max number of levels reached. Using parallel direct solve for coarse problem\n",pcbddc->max_levels,active_procs,pcbddc->coarsening_ratio);CHKERRQ(ierr); 2146 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2147 } 2148 pcbddc->coarse_problem_type = PARALLEL_BDDC; 2149 } 2150 } 2151 2152 switch(pcbddc->coarse_problem_type){ 2153 2154 case(MULTILEVEL_BDDC): /* we define a coarse mesh where subdomains are elements */ 2155 { 2156 /* we need additional variables */ 2157 MetisInt n_subdomains,n_parts,objval,ncon,faces_nvtxs; 2158 MetisInt *metis_coarse_subdivision; 2159 MetisInt options[METIS_NOPTIONS]; 2160 PetscMPIInt size_coarse_comm,rank_coarse_comm; 2161 PetscMPIInt procs_jumps_coarse_comm; 2162 PetscMPIInt *coarse_subdivision; 2163 PetscMPIInt *total_count_recv; 2164 PetscMPIInt *total_ranks_recv; 2165 PetscMPIInt *displacements_recv; 2166 PetscMPIInt *my_faces_connectivity; 2167 PetscMPIInt *petsc_faces_adjncy; 2168 MetisInt *faces_adjncy; 2169 MetisInt *faces_xadj; 2170 PetscMPIInt *number_of_faces; 2171 PetscMPIInt *faces_displacements; 2172 PetscInt *array_int; 2173 PetscMPIInt my_faces=0; 2174 PetscMPIInt total_faces=0; 2175 PetscInt ranks_stretching_ratio; 2176 2177 /* define some quantities */ 2178 pcbddc->coarse_communications_type = SCATTERS_BDDC; 2179 coarse_mat_type = MATIS; 2180 coarse_pc_type = PCBDDC; 2181 coarse_ksp_type = KSPRICHARDSON; 2182 2183 /* details of coarse decomposition */ 2184 n_subdomains = active_procs; 2185 n_parts = n_subdomains/pcbddc->coarsening_ratio; 2186 ranks_stretching_ratio = size_prec_comm/active_procs; 2187 procs_jumps_coarse_comm = pcbddc->coarsening_ratio*ranks_stretching_ratio; 2188 2189 #if 0 2190 PetscMPIInt *old_ranks; 2191 PetscInt *new_ranks,*jj,*ii; 2192 MatPartitioning mat_part; 2193 IS coarse_new_decomposition,is_numbering; 2194 PetscViewer viewer_test; 2195 MPI_Comm test_coarse_comm; 2196 PetscMPIInt test_coarse_color; 2197 Mat mat_adj; 2198 /* Create new communicator for coarse problem splitting the old one */ 2199 /* procs with coarse_color = MPI_UNDEFINED will have coarse_comm = MPI_COMM_NULL (from mpi standards) 2200 key = rank_prec_comm -> keep same ordering of ranks from the old to the new communicator */ 2201 test_coarse_color = ( im_active ? 0 : MPI_UNDEFINED ); 2202 test_coarse_comm = MPI_COMM_NULL; 2203 ierr = MPI_Comm_split(prec_comm,test_coarse_color,rank_prec_comm,&test_coarse_comm);CHKERRQ(ierr); 2204 if (im_active) { 2205 ierr = PetscMalloc(n_subdomains*sizeof(PetscMPIInt),&old_ranks); 2206 ierr = PetscMalloc(size_prec_comm*sizeof(PetscInt),&new_ranks); 2207 ierr = MPI_Comm_rank(test_coarse_comm,&rank_coarse_comm);CHKERRQ(ierr); 2208 ierr = MPI_Comm_size(test_coarse_comm,&j);CHKERRQ(ierr); 2209 ierr = MPI_Allgather(&rank_prec_comm,1,MPIU_INT,old_ranks,1,MPIU_INT,test_coarse_comm);CHKERRQ(ierr); 2210 for (i=0; i<size_prec_comm; i++) new_ranks[i] = -1; 2211 for (i=0; i<n_subdomains; i++) new_ranks[old_ranks[i]] = i; 2212 ierr = PetscViewerASCIIOpen(test_coarse_comm,"test_mat_part.out",&viewer_test);CHKERRQ(ierr); 2213 k = pcis->n_neigh-1; 2214 ierr = PetscMalloc(2*sizeof(PetscInt),&ii); 2215 ii[0]=0; 2216 ii[1]=k; 2217 ierr = PetscMalloc(k*sizeof(PetscInt),&jj); 2218 for (i=0; i<k; i++) jj[i]=new_ranks[pcis->neigh[i+1]]; 2219 ierr = PetscSortInt(k,jj);CHKERRQ(ierr); 2220 ierr = MatCreateMPIAdj(test_coarse_comm,1,n_subdomains,ii,jj,NULL,&mat_adj);CHKERRQ(ierr); 2221 ierr = MatView(mat_adj,viewer_test);CHKERRQ(ierr); 2222 ierr = MatPartitioningCreate(test_coarse_comm,&mat_part);CHKERRQ(ierr); 2223 ierr = MatPartitioningSetAdjacency(mat_part,mat_adj);CHKERRQ(ierr); 2224 ierr = MatPartitioningSetFromOptions(mat_part);CHKERRQ(ierr); 2225 printf("Setting Nparts %d\n",n_parts); 2226 ierr = MatPartitioningSetNParts(mat_part,n_parts);CHKERRQ(ierr); 2227 ierr = MatPartitioningView(mat_part,viewer_test);CHKERRQ(ierr); 2228 ierr = MatPartitioningApply(mat_part,&coarse_new_decomposition);CHKERRQ(ierr); 2229 ierr = ISView(coarse_new_decomposition,viewer_test);CHKERRQ(ierr); 2230 ierr = ISPartitioningToNumbering(coarse_new_decomposition,&is_numbering);CHKERRQ(ierr); 2231 ierr = ISView(is_numbering,viewer_test);CHKERRQ(ierr); 2232 ierr = PetscViewerDestroy(&viewer_test);CHKERRQ(ierr); 2233 ierr = ISDestroy(&coarse_new_decomposition);CHKERRQ(ierr); 2234 ierr = ISDestroy(&is_numbering);CHKERRQ(ierr); 2235 ierr = MatPartitioningDestroy(&mat_part);CHKERRQ(ierr); 2236 ierr = PetscFree(old_ranks);CHKERRQ(ierr); 2237 ierr = PetscFree(new_ranks);CHKERRQ(ierr); 2238 ierr = MPI_Comm_free(&test_coarse_comm);CHKERRQ(ierr); 2239 } 2240 #endif 2241 2242 /* build CSR graph of subdomains' connectivity */ 2243 ierr = PetscMalloc (pcis->n*sizeof(PetscInt),&array_int);CHKERRQ(ierr); 2244 ierr = PetscMemzero(array_int,pcis->n*sizeof(PetscInt));CHKERRQ(ierr); 2245 for (i=1;i<pcis->n_neigh;i++){/* i=1 so I don't count myself -> faces nodes counts to 1 */ 2246 for (j=0;j<pcis->n_shared[i];j++){ 2247 array_int[ pcis->shared[i][j] ]+=1; 2248 } 2249 } 2250 for (i=1;i<pcis->n_neigh;i++){ 2251 for (j=0;j<pcis->n_shared[i];j++){ 2252 if (array_int[ pcis->shared[i][j] ] > 0 ){ 2253 my_faces++; 2254 break; 2255 } 2256 } 2257 } 2258 2259 ierr = MPI_Reduce(&my_faces,&total_faces,1,MPIU_INT,MPI_SUM,master_proc,prec_comm);CHKERRQ(ierr); 2260 ierr = PetscMalloc (my_faces*sizeof(PetscInt),&my_faces_connectivity);CHKERRQ(ierr); 2261 my_faces=0; 2262 for (i=1;i<pcis->n_neigh;i++){ 2263 for (j=0;j<pcis->n_shared[i];j++){ 2264 if (array_int[ pcis->shared[i][j] ] > 0 ){ 2265 my_faces_connectivity[my_faces]=pcis->neigh[i]; 2266 my_faces++; 2267 break; 2268 } 2269 } 2270 } 2271 if (rank_prec_comm == master_proc) { 2272 ierr = PetscMalloc (total_faces*sizeof(PetscMPIInt),&petsc_faces_adjncy);CHKERRQ(ierr); 2273 ierr = PetscMalloc (size_prec_comm*sizeof(PetscMPIInt),&number_of_faces);CHKERRQ(ierr); 2274 ierr = PetscMalloc (total_faces*sizeof(MetisInt),&faces_adjncy);CHKERRQ(ierr); 2275 ierr = PetscMalloc ((n_subdomains+1)*sizeof(MetisInt),&faces_xadj);CHKERRQ(ierr); 2276 ierr = PetscMalloc ((size_prec_comm+1)*sizeof(PetscMPIInt),&faces_displacements);CHKERRQ(ierr); 2277 } 2278 ierr = MPI_Gather(&my_faces,1,MPIU_INT,&number_of_faces[0],1,MPIU_INT,master_proc,prec_comm);CHKERRQ(ierr); 2279 if (rank_prec_comm == master_proc) { 2280 faces_xadj[0]=0; 2281 faces_displacements[0]=0; 2282 j=0; 2283 for (i=1;i<size_prec_comm+1;i++) { 2284 faces_displacements[i]=faces_displacements[i-1]+number_of_faces[i-1]; 2285 if (number_of_faces[i-1]) { 2286 j++; 2287 faces_xadj[j]=faces_xadj[j-1]+number_of_faces[i-1]; 2288 } 2289 } 2290 } 2291 ierr = MPI_Gatherv(&my_faces_connectivity[0],my_faces,MPIU_INT,&petsc_faces_adjncy[0],number_of_faces,faces_displacements,MPIU_INT,master_proc,prec_comm);CHKERRQ(ierr); 2292 ierr = PetscFree(my_faces_connectivity);CHKERRQ(ierr); 2293 ierr = PetscFree(array_int);CHKERRQ(ierr); 2294 if (rank_prec_comm == master_proc) { 2295 for (i=0;i<total_faces;i++) faces_adjncy[i]=(MetisInt)(petsc_faces_adjncy[i]/ranks_stretching_ratio); /* cast to MetisInt */ 2296 ierr = PetscFree(faces_displacements);CHKERRQ(ierr); 2297 ierr = PetscFree(number_of_faces);CHKERRQ(ierr); 2298 ierr = PetscFree(petsc_faces_adjncy);CHKERRQ(ierr); 2299 } 2300 2301 if ( rank_prec_comm == master_proc ) { 2302 2303 PetscInt heuristic_for_metis=3; 2304 2305 ncon=1; 2306 faces_nvtxs=n_subdomains; 2307 /* partition graoh induced by face connectivity */ 2308 ierr = PetscMalloc (n_subdomains*sizeof(MetisInt),&metis_coarse_subdivision);CHKERRQ(ierr); 2309 ierr = METIS_SetDefaultOptions(options); 2310 /* we need a contiguous partition of the coarse mesh */ 2311 options[METIS_OPTION_CONTIG]=1; 2312 options[METIS_OPTION_NITER]=30; 2313 if (pcbddc->coarsening_ratio > 1) { 2314 if (n_subdomains>n_parts*heuristic_for_metis) { 2315 options[METIS_OPTION_IPTYPE]=METIS_IPTYPE_EDGE; 2316 options[METIS_OPTION_OBJTYPE]=METIS_OBJTYPE_CUT; 2317 ierr = METIS_PartGraphKway(&faces_nvtxs,&ncon,faces_xadj,faces_adjncy,NULL,NULL,NULL,&n_parts,NULL,NULL,options,&objval,metis_coarse_subdivision); 2318 if (ierr != METIS_OK) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in METIS_PartGraphKway (metis error code %D) called from PCBDDCSetUpCoarseEnvironment\n",ierr); 2319 } else { 2320 ierr = METIS_PartGraphRecursive(&faces_nvtxs,&ncon,faces_xadj,faces_adjncy,NULL,NULL,NULL,&n_parts,NULL,NULL,options,&objval,metis_coarse_subdivision); 2321 if (ierr != METIS_OK) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in METIS_PartGraphRecursive (metis error code %D) called from PCBDDCSetUpCoarseEnvironment\n",ierr); 2322 } 2323 } else { 2324 for (i=0;i<n_subdomains;i++) metis_coarse_subdivision[i]=i; 2325 } 2326 ierr = PetscFree(faces_xadj);CHKERRQ(ierr); 2327 ierr = PetscFree(faces_adjncy);CHKERRQ(ierr); 2328 ierr = PetscMalloc(size_prec_comm*sizeof(PetscMPIInt),&coarse_subdivision);CHKERRQ(ierr); 2329 2330 /* copy/cast values avoiding possible type conflicts between PETSc, MPI and METIS */ 2331 for (i=0;i<size_prec_comm;i++) coarse_subdivision[i]=MPI_PROC_NULL; 2332 for (i=0;i<n_subdomains;i++) coarse_subdivision[ranks_stretching_ratio*i]=(PetscInt)(metis_coarse_subdivision[i]); 2333 ierr = PetscFree(metis_coarse_subdivision);CHKERRQ(ierr); 2334 } 2335 2336 /* Create new communicator for coarse problem splitting the old one */ 2337 if ( !(rank_prec_comm%procs_jumps_coarse_comm) && rank_prec_comm < procs_jumps_coarse_comm*n_parts ){ 2338 coarse_color=0; /* for communicator splitting */ 2339 active_rank=rank_prec_comm; /* for insertion of matrix values */ 2340 } 2341 /* procs with coarse_color = MPI_UNDEFINED will have coarse_comm = MPI_COMM_NULL (from mpi standards) 2342 key = rank_prec_comm -> keep same ordering of ranks from the old to the new communicator */ 2343 ierr = MPI_Comm_split(prec_comm,coarse_color,rank_prec_comm,&coarse_comm);CHKERRQ(ierr); 2344 2345 if ( coarse_color == 0 ) { 2346 ierr = MPI_Comm_size(coarse_comm,&size_coarse_comm);CHKERRQ(ierr); 2347 ierr = MPI_Comm_rank(coarse_comm,&rank_coarse_comm);CHKERRQ(ierr); 2348 } else { 2349 rank_coarse_comm = MPI_PROC_NULL; 2350 } 2351 2352 /* master proc take care of arranging and distributing coarse information */ 2353 if (rank_coarse_comm == master_proc) { 2354 ierr = PetscMalloc (size_coarse_comm*sizeof(PetscMPIInt),&displacements_recv);CHKERRQ(ierr); 2355 ierr = PetscMalloc (size_coarse_comm*sizeof(PetscMPIInt),&total_count_recv);CHKERRQ(ierr); 2356 ierr = PetscMalloc (n_subdomains*sizeof(PetscMPIInt),&total_ranks_recv);CHKERRQ(ierr); 2357 /* some initializations */ 2358 displacements_recv[0]=0; 2359 ierr = PetscMemzero(total_count_recv,size_coarse_comm*sizeof(PetscMPIInt));CHKERRQ(ierr); 2360 /* count from how many processes the j-th process of the coarse decomposition will receive data */ 2361 for (j=0;j<size_coarse_comm;j++) { 2362 for (i=0;i<size_prec_comm;i++) { 2363 if (coarse_subdivision[i]==j) total_count_recv[j]++; 2364 } 2365 } 2366 /* displacements needed for scatterv of total_ranks_recv */ 2367 for (i=1; i<size_coarse_comm; i++) displacements_recv[i]=displacements_recv[i-1]+total_count_recv[i-1]; 2368 2369 /* Now fill properly total_ranks_recv -> each coarse process will receive the ranks (in prec_comm communicator) of its friend (sending) processes */ 2370 ierr = PetscMemzero(total_count_recv,size_coarse_comm*sizeof(PetscMPIInt));CHKERRQ(ierr); 2371 for (j=0;j<size_coarse_comm;j++) { 2372 for (i=0;i<size_prec_comm;i++) { 2373 if (coarse_subdivision[i]==j) { 2374 total_ranks_recv[displacements_recv[j]+total_count_recv[j]]=i; 2375 total_count_recv[j]+=1; 2376 } 2377 } 2378 } 2379 /*for (j=0;j<size_coarse_comm;j++) { 2380 printf("process %d in new rank will receive from %d processes (original ranks follows)\n",j,total_count_recv[j]); 2381 for (i=0;i<total_count_recv[j];i++) { 2382 printf("%d ",total_ranks_recv[displacements_recv[j]+i]); 2383 } 2384 printf("\n"); 2385 }*/ 2386 2387 /* identify new decomposition in terms of ranks in the old communicator */ 2388 for (i=0;i<n_subdomains;i++) { 2389 coarse_subdivision[ranks_stretching_ratio*i]=coarse_subdivision[ranks_stretching_ratio*i]*procs_jumps_coarse_comm; 2390 } 2391 /*printf("coarse_subdivision in old end new ranks\n"); 2392 for (i=0;i<size_prec_comm;i++) 2393 if (coarse_subdivision[i]!=MPI_PROC_NULL) { 2394 printf("%d=(%d %d), ",i,coarse_subdivision[i],coarse_subdivision[i]/procs_jumps_coarse_comm); 2395 } else { 2396 printf("%d=(%d %d), ",i,coarse_subdivision[i],coarse_subdivision[i]); 2397 } 2398 printf("\n");*/ 2399 } 2400 2401 /* Scatter new decomposition for send details */ 2402 ierr = MPI_Scatter(&coarse_subdivision[0],1,MPIU_INT,&rank_coarse_proc_send_to,1,MPIU_INT,master_proc,prec_comm);CHKERRQ(ierr); 2403 /* Scatter receiving details to members of coarse decomposition */ 2404 if ( coarse_color == 0) { 2405 ierr = MPI_Scatter(&total_count_recv[0],1,MPIU_INT,&count_recv,1,MPIU_INT,master_proc,coarse_comm);CHKERRQ(ierr); 2406 ierr = PetscMalloc (count_recv*sizeof(PetscMPIInt),&ranks_recv);CHKERRQ(ierr); 2407 ierr = MPI_Scatterv(&total_ranks_recv[0],total_count_recv,displacements_recv,MPIU_INT,&ranks_recv[0],count_recv,MPIU_INT,master_proc,coarse_comm);CHKERRQ(ierr); 2408 } 2409 2410 /*printf("I will send my matrix data to proc %d\n",rank_coarse_proc_send_to); 2411 if (coarse_color == 0) { 2412 printf("I will receive some matrix data from %d processes (ranks follows)\n",count_recv); 2413 for (i=0;i<count_recv;i++) 2414 printf("%d ",ranks_recv[i]); 2415 printf("\n"); 2416 }*/ 2417 2418 if (rank_prec_comm == master_proc) { 2419 ierr = PetscFree(coarse_subdivision);CHKERRQ(ierr); 2420 ierr = PetscFree(total_count_recv);CHKERRQ(ierr); 2421 ierr = PetscFree(total_ranks_recv);CHKERRQ(ierr); 2422 ierr = PetscFree(displacements_recv);CHKERRQ(ierr); 2423 } 2424 break; 2425 } 2426 2427 case(REPLICATED_BDDC): 2428 2429 pcbddc->coarse_communications_type = GATHERS_BDDC; 2430 coarse_mat_type = MATSEQAIJ; 2431 coarse_pc_type = PCLU; 2432 coarse_ksp_type = KSPPREONLY; 2433 coarse_comm = PETSC_COMM_SELF; 2434 active_rank = rank_prec_comm; 2435 break; 2436 2437 case(PARALLEL_BDDC): 2438 2439 pcbddc->coarse_communications_type = SCATTERS_BDDC; 2440 coarse_mat_type = MATAIJ; 2441 coarse_pc_type = PCREDUNDANT; 2442 coarse_ksp_type = KSPPREONLY; 2443 coarse_comm = prec_comm; 2444 active_rank = rank_prec_comm; 2445 break; 2446 2447 case(SEQUENTIAL_BDDC): 2448 pcbddc->coarse_communications_type = GATHERS_BDDC; 2449 coarse_mat_type = MATAIJ; 2450 coarse_pc_type = PCLU; 2451 coarse_ksp_type = KSPPREONLY; 2452 coarse_comm = PETSC_COMM_SELF; 2453 active_rank = master_proc; 2454 break; 2455 } 2456 2457 switch(pcbddc->coarse_communications_type){ 2458 2459 case(SCATTERS_BDDC): 2460 { 2461 if (pcbddc->coarse_problem_type==MULTILEVEL_BDDC) { 2462 2463 IS coarse_IS; 2464 2465 if(pcbddc->coarsening_ratio == 1) { 2466 ins_local_primal_size = pcbddc->local_primal_size; 2467 ins_local_primal_indices = pcbddc->local_primal_indices; 2468 if (coarse_color == 0) { ierr = PetscFree(ranks_recv);CHKERRQ(ierr); } 2469 /* nonzeros */ 2470 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&dnz);CHKERRQ(ierr); 2471 ierr = PetscMemzero(dnz,ins_local_primal_size*sizeof(PetscInt));CHKERRQ(ierr); 2472 for (i=0;i<ins_local_primal_size;i++) { 2473 dnz[i] = ins_local_primal_size; 2474 } 2475 } else { 2476 PetscMPIInt send_size; 2477 PetscMPIInt *send_buffer; 2478 PetscInt *aux_ins_indices; 2479 PetscInt ii,jj; 2480 MPI_Request *requests; 2481 2482 ierr = PetscMalloc(count_recv*sizeof(PetscMPIInt),&localdispl2);CHKERRQ(ierr); 2483 /* reusing pcbddc->local_primal_displacements and pcbddc->replicated_primal_size */ 2484 ierr = PetscFree(pcbddc->local_primal_displacements);CHKERRQ(ierr); 2485 ierr = PetscMalloc((count_recv+1)*sizeof(PetscMPIInt),&pcbddc->local_primal_displacements);CHKERRQ(ierr); 2486 pcbddc->replicated_primal_size = count_recv; 2487 j = 0; 2488 for (i=0;i<count_recv;i++) { 2489 pcbddc->local_primal_displacements[i] = j; 2490 j += pcbddc->local_primal_sizes[ranks_recv[i]]; 2491 } 2492 pcbddc->local_primal_displacements[count_recv] = j; 2493 ierr = PetscMalloc(j*sizeof(PetscMPIInt),&pcbddc->replicated_local_primal_indices);CHKERRQ(ierr); 2494 /* allocate auxiliary space */ 2495 ierr = PetscMalloc(count_recv*sizeof(PetscMPIInt),&localsizes2);CHKERRQ(ierr); 2496 ierr = PetscMalloc(pcbddc->coarse_size*sizeof(PetscInt),&aux_ins_indices);CHKERRQ(ierr); 2497 ierr = PetscMemzero(aux_ins_indices,pcbddc->coarse_size*sizeof(PetscInt));CHKERRQ(ierr); 2498 /* allocate stuffs for message massing */ 2499 ierr = PetscMalloc((count_recv+1)*sizeof(MPI_Request),&requests);CHKERRQ(ierr); 2500 for (i=0;i<count_recv+1;i++) { requests[i]=MPI_REQUEST_NULL; } 2501 /* send indices to be inserted */ 2502 for (i=0;i<count_recv;i++) { 2503 send_size = pcbddc->local_primal_sizes[ranks_recv[i]]; 2504 ierr = MPI_Irecv(&pcbddc->replicated_local_primal_indices[pcbddc->local_primal_displacements[i]],send_size,MPIU_INT,ranks_recv[i],999,prec_comm,&requests[i]);CHKERRQ(ierr); 2505 } 2506 if (rank_coarse_proc_send_to != MPI_PROC_NULL ) { 2507 send_size = pcbddc->local_primal_size; 2508 ierr = PetscMalloc(send_size*sizeof(PetscMPIInt),&send_buffer);CHKERRQ(ierr); 2509 for (i=0;i<send_size;i++) { 2510 send_buffer[i]=(PetscMPIInt)pcbddc->local_primal_indices[i]; 2511 } 2512 ierr = MPI_Isend(send_buffer,send_size,MPIU_INT,rank_coarse_proc_send_to,999,prec_comm,&requests[count_recv]);CHKERRQ(ierr); 2513 } 2514 ierr = MPI_Waitall(count_recv+1,requests,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 2515 if (rank_coarse_proc_send_to != MPI_PROC_NULL ) { 2516 ierr = PetscFree(send_buffer);CHKERRQ(ierr); 2517 } 2518 j = 0; 2519 for (i=0;i<count_recv;i++) { 2520 ii = pcbddc->local_primal_displacements[i+1]-pcbddc->local_primal_displacements[i]; 2521 localsizes2[i] = ii*ii; 2522 localdispl2[i] = j; 2523 j += localsizes2[i]; 2524 jj = pcbddc->local_primal_displacements[i]; 2525 /* it counts the coarse subdomains sharing the coarse node */ 2526 for (k=0;k<ii;k++) { 2527 aux_ins_indices[pcbddc->replicated_local_primal_indices[jj+k]] += 1; 2528 } 2529 } 2530 /* temp_coarse_mat_vals used to store matrix values to be received */ 2531 ierr = PetscMalloc(j*sizeof(PetscScalar),&temp_coarse_mat_vals);CHKERRQ(ierr); 2532 /* evaluate how many values I will insert in coarse mat */ 2533 ins_local_primal_size = 0; 2534 for (i=0;i<pcbddc->coarse_size;i++) { 2535 if (aux_ins_indices[i]) { 2536 ins_local_primal_size++; 2537 } 2538 } 2539 /* evaluate indices I will insert in coarse mat */ 2540 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&ins_local_primal_indices);CHKERRQ(ierr); 2541 j = 0; 2542 for(i=0;i<pcbddc->coarse_size;i++) { 2543 if(aux_ins_indices[i]) { 2544 ins_local_primal_indices[j] = i; 2545 j++; 2546 } 2547 } 2548 /* processes partecipating in coarse problem receive matrix data from their friends */ 2549 for (i=0;i<count_recv;i++) { 2550 ierr = MPI_Irecv(&temp_coarse_mat_vals[localdispl2[i]],localsizes2[i],MPIU_SCALAR,ranks_recv[i],666,prec_comm,&requests[i]);CHKERRQ(ierr); 2551 } 2552 if (rank_coarse_proc_send_to != MPI_PROC_NULL ) { 2553 send_size = pcbddc->local_primal_size*pcbddc->local_primal_size; 2554 ierr = MPI_Isend(&coarse_submat_vals[0],send_size,MPIU_SCALAR,rank_coarse_proc_send_to,666,prec_comm,&requests[count_recv]);CHKERRQ(ierr); 2555 } 2556 ierr = MPI_Waitall(count_recv+1,requests,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 2557 /* nonzeros */ 2558 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&dnz);CHKERRQ(ierr); 2559 ierr = PetscMemzero(dnz,ins_local_primal_size*sizeof(PetscInt));CHKERRQ(ierr); 2560 /* use aux_ins_indices to realize a global to local mapping */ 2561 j=0; 2562 for(i=0;i<pcbddc->coarse_size;i++){ 2563 if(aux_ins_indices[i]==0){ 2564 aux_ins_indices[i]=-1; 2565 } else { 2566 aux_ins_indices[i]=j; 2567 j++; 2568 } 2569 } 2570 for (i=0;i<count_recv;i++) { 2571 j = pcbddc->local_primal_sizes[ranks_recv[i]]; 2572 for (k=0;k<j;k++) { 2573 dnz[aux_ins_indices[pcbddc->replicated_local_primal_indices[pcbddc->local_primal_displacements[i]+k]]] += j; 2574 } 2575 } 2576 /* check */ 2577 for (i=0;i<ins_local_primal_size;i++) { 2578 if (dnz[i] > ins_local_primal_size) { 2579 dnz[i] = ins_local_primal_size; 2580 } 2581 } 2582 ierr = PetscFree(requests);CHKERRQ(ierr); 2583 ierr = PetscFree(aux_ins_indices);CHKERRQ(ierr); 2584 if (coarse_color == 0) { ierr = PetscFree(ranks_recv);CHKERRQ(ierr); } 2585 } 2586 /* create local to global mapping needed by coarse MATIS */ 2587 if (coarse_comm != MPI_COMM_NULL ) {ierr = MPI_Comm_free(&coarse_comm);CHKERRQ(ierr);} 2588 coarse_comm = prec_comm; 2589 active_rank = rank_prec_comm; 2590 ierr = ISCreateGeneral(coarse_comm,ins_local_primal_size,ins_local_primal_indices,PETSC_COPY_VALUES,&coarse_IS);CHKERRQ(ierr); 2591 ierr = ISLocalToGlobalMappingCreateIS(coarse_IS,&coarse_ISLG);CHKERRQ(ierr); 2592 ierr = ISDestroy(&coarse_IS);CHKERRQ(ierr); 2593 } else if (pcbddc->coarse_problem_type==PARALLEL_BDDC) { 2594 /* arrays for values insertion */ 2595 ins_local_primal_size = pcbddc->local_primal_size; 2596 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&ins_local_primal_indices);CHKERRQ(ierr); 2597 ierr = PetscMalloc(ins_local_primal_size*ins_local_primal_size*sizeof(PetscScalar),&ins_coarse_mat_vals);CHKERRQ(ierr); 2598 for (j=0;j<ins_local_primal_size;j++){ 2599 ins_local_primal_indices[j]=pcbddc->local_primal_indices[j]; 2600 for (i=0;i<ins_local_primal_size;i++) { 2601 ins_coarse_mat_vals[j*ins_local_primal_size+i]=coarse_submat_vals[j*ins_local_primal_size+i]; 2602 } 2603 } 2604 } 2605 break; 2606 2607 } 2608 2609 case(GATHERS_BDDC): 2610 { 2611 2612 PetscMPIInt mysize,mysize2; 2613 PetscMPIInt *send_buffer; 2614 2615 if (rank_prec_comm==active_rank) { 2616 ierr = PetscMalloc ( pcbddc->replicated_primal_size*sizeof(PetscMPIInt),&pcbddc->replicated_local_primal_indices);CHKERRQ(ierr); 2617 ierr = PetscMalloc ( pcbddc->replicated_primal_size*sizeof(PetscScalar),&pcbddc->replicated_local_primal_values);CHKERRQ(ierr); 2618 ierr = PetscMalloc ( size_prec_comm*sizeof(PetscMPIInt),&localsizes2);CHKERRQ(ierr); 2619 ierr = PetscMalloc ( size_prec_comm*sizeof(PetscMPIInt),&localdispl2);CHKERRQ(ierr); 2620 /* arrays for values insertion */ 2621 for (i=0;i<size_prec_comm;i++) localsizes2[i]=pcbddc->local_primal_sizes[i]*pcbddc->local_primal_sizes[i]; 2622 localdispl2[0]=0; 2623 for (i=1;i<size_prec_comm;i++) localdispl2[i]=localsizes2[i-1]+localdispl2[i-1]; 2624 j=0; 2625 for (i=0;i<size_prec_comm;i++) j+=localsizes2[i]; 2626 ierr = PetscMalloc ( j*sizeof(PetscScalar),&temp_coarse_mat_vals);CHKERRQ(ierr); 2627 } 2628 2629 mysize=pcbddc->local_primal_size; 2630 mysize2=pcbddc->local_primal_size*pcbddc->local_primal_size; 2631 ierr = PetscMalloc(mysize*sizeof(PetscMPIInt),&send_buffer);CHKERRQ(ierr); 2632 for (i=0; i<mysize; i++) send_buffer[i]=(PetscMPIInt)pcbddc->local_primal_indices[i]; 2633 2634 if (pcbddc->coarse_problem_type == SEQUENTIAL_BDDC){ 2635 ierr = MPI_Gatherv(send_buffer,mysize,MPIU_INT,&pcbddc->replicated_local_primal_indices[0],pcbddc->local_primal_sizes,pcbddc->local_primal_displacements,MPIU_INT,master_proc,prec_comm);CHKERRQ(ierr); 2636 ierr = MPI_Gatherv(&coarse_submat_vals[0],mysize2,MPIU_SCALAR,&temp_coarse_mat_vals[0],localsizes2,localdispl2,MPIU_SCALAR,master_proc,prec_comm);CHKERRQ(ierr); 2637 } else { 2638 ierr = MPI_Allgatherv(send_buffer,mysize,MPIU_INT,&pcbddc->replicated_local_primal_indices[0],pcbddc->local_primal_sizes,pcbddc->local_primal_displacements,MPIU_INT,prec_comm);CHKERRQ(ierr); 2639 ierr = MPI_Allgatherv(&coarse_submat_vals[0],mysize2,MPIU_SCALAR,&temp_coarse_mat_vals[0],localsizes2,localdispl2,MPIU_SCALAR,prec_comm);CHKERRQ(ierr); 2640 } 2641 ierr = PetscFree(send_buffer);CHKERRQ(ierr); 2642 break; 2643 }/* switch on coarse problem and communications associated with finished */ 2644 } 2645 2646 /* Now create and fill up coarse matrix */ 2647 if ( rank_prec_comm == active_rank ) { 2648 2649 Mat matis_coarse_local_mat; 2650 2651 if (pcbddc->coarse_problem_type != MULTILEVEL_BDDC) { 2652 ierr = MatCreate(coarse_comm,&pcbddc->coarse_mat);CHKERRQ(ierr); 2653 ierr = MatSetSizes(pcbddc->coarse_mat,PETSC_DECIDE,PETSC_DECIDE,pcbddc->coarse_size,pcbddc->coarse_size);CHKERRQ(ierr); 2654 ierr = MatSetType(pcbddc->coarse_mat,coarse_mat_type);CHKERRQ(ierr); 2655 ierr = MatSetOptionsPrefix(pcbddc->coarse_mat,"coarse_");CHKERRQ(ierr); 2656 ierr = MatSetFromOptions(pcbddc->coarse_mat);CHKERRQ(ierr); 2657 ierr = MatSetUp(pcbddc->coarse_mat);CHKERRQ(ierr); 2658 ierr = MatSetOption(pcbddc->coarse_mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr); /* local values stored in column major */ 2659 ierr = MatSetOption(pcbddc->coarse_mat,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr); 2660 } else { 2661 ierr = MatCreateIS(coarse_comm,1,PETSC_DECIDE,PETSC_DECIDE,pcbddc->coarse_size,pcbddc->coarse_size,coarse_ISLG,&pcbddc->coarse_mat);CHKERRQ(ierr); 2662 ierr = MatSetUp(pcbddc->coarse_mat);CHKERRQ(ierr); 2663 ierr = MatISGetLocalMat(pcbddc->coarse_mat,&matis_coarse_local_mat);CHKERRQ(ierr); 2664 ierr = MatSetOptionsPrefix(pcbddc->coarse_mat,"coarse_");CHKERRQ(ierr); 2665 ierr = MatSetFromOptions(pcbddc->coarse_mat);CHKERRQ(ierr); 2666 ierr = MatSetUp(matis_coarse_local_mat);CHKERRQ(ierr); 2667 ierr = MatSetOption(matis_coarse_local_mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr); /* local values stored in column major */ 2668 ierr = MatSetOption(matis_coarse_local_mat,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr); 2669 } 2670 /* preallocation */ 2671 if (pcbddc->coarse_problem_type != MULTILEVEL_BDDC) { 2672 2673 PetscInt lrows,lcols,bs; 2674 2675 ierr = MatGetLocalSize(pcbddc->coarse_mat,&lrows,&lcols);CHKERRQ(ierr); 2676 ierr = MatPreallocateInitialize(coarse_comm,lrows,lcols,dnz,onz);CHKERRQ(ierr); 2677 ierr = MatGetBlockSize(pcbddc->coarse_mat,&bs);CHKERRQ(ierr); 2678 2679 if (pcbddc->coarse_problem_type == PARALLEL_BDDC) { 2680 2681 Vec vec_dnz,vec_onz; 2682 PetscScalar *my_dnz,*my_onz,*array; 2683 PetscInt *mat_ranges,*row_ownership; 2684 PetscInt coarse_index_row,coarse_index_col,owner; 2685 2686 ierr = VecCreate(prec_comm,&vec_dnz);CHKERRQ(ierr); 2687 ierr = VecSetBlockSize(vec_dnz,bs);CHKERRQ(ierr); 2688 ierr = VecSetSizes(vec_dnz,PETSC_DECIDE,pcbddc->coarse_size);CHKERRQ(ierr); 2689 ierr = VecSetType(vec_dnz,VECMPI);CHKERRQ(ierr); 2690 ierr = VecDuplicate(vec_dnz,&vec_onz);CHKERRQ(ierr); 2691 2692 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscScalar),&my_dnz);CHKERRQ(ierr); 2693 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscScalar),&my_onz);CHKERRQ(ierr); 2694 ierr = PetscMemzero(my_dnz,pcbddc->local_primal_size*sizeof(PetscScalar));CHKERRQ(ierr); 2695 ierr = PetscMemzero(my_onz,pcbddc->local_primal_size*sizeof(PetscScalar));CHKERRQ(ierr); 2696 2697 ierr = PetscMalloc(pcbddc->coarse_size*sizeof(PetscInt),&row_ownership);CHKERRQ(ierr); 2698 ierr = MatGetOwnershipRanges(pcbddc->coarse_mat,(const PetscInt**)&mat_ranges);CHKERRQ(ierr); 2699 for (i=0;i<size_prec_comm;i++) { 2700 for (j=mat_ranges[i];j<mat_ranges[i+1];j++) { 2701 row_ownership[j]=i; 2702 } 2703 } 2704 2705 for (i=0;i<pcbddc->local_primal_size;i++) { 2706 coarse_index_row = pcbddc->local_primal_indices[i]; 2707 owner = row_ownership[coarse_index_row]; 2708 for (j=i;j<pcbddc->local_primal_size;j++) { 2709 owner = row_ownership[coarse_index_row]; 2710 coarse_index_col = pcbddc->local_primal_indices[j]; 2711 if (coarse_index_col > mat_ranges[owner]-1 && coarse_index_col < mat_ranges[owner+1] ) { 2712 my_dnz[i] += 1.0; 2713 } else { 2714 my_onz[i] += 1.0; 2715 } 2716 if (i != j) { 2717 owner = row_ownership[coarse_index_col]; 2718 if (coarse_index_row > mat_ranges[owner]-1 && coarse_index_row < mat_ranges[owner+1] ) { 2719 my_dnz[j] += 1.0; 2720 } else { 2721 my_onz[j] += 1.0; 2722 } 2723 } 2724 } 2725 } 2726 ierr = VecSet(vec_dnz,0.0);CHKERRQ(ierr); 2727 ierr = VecSet(vec_onz,0.0);CHKERRQ(ierr); 2728 if (pcbddc->local_primal_size) { 2729 ierr = VecSetValues(vec_dnz,pcbddc->local_primal_size,pcbddc->local_primal_indices,my_dnz,ADD_VALUES);CHKERRQ(ierr); 2730 ierr = VecSetValues(vec_onz,pcbddc->local_primal_size,pcbddc->local_primal_indices,my_onz,ADD_VALUES);CHKERRQ(ierr); 2731 } 2732 ierr = VecAssemblyBegin(vec_dnz);CHKERRQ(ierr); 2733 ierr = VecAssemblyBegin(vec_onz);CHKERRQ(ierr); 2734 ierr = VecAssemblyEnd(vec_dnz);CHKERRQ(ierr); 2735 ierr = VecAssemblyEnd(vec_onz);CHKERRQ(ierr); 2736 j = mat_ranges[rank_prec_comm+1]-mat_ranges[rank_prec_comm]; 2737 ierr = VecGetArray(vec_dnz,&array);CHKERRQ(ierr); 2738 for (i=0; i<j; i++) dnz[i] = (PetscInt)array[i]; 2739 2740 ierr = VecRestoreArray(vec_dnz,&array);CHKERRQ(ierr); 2741 ierr = VecGetArray(vec_onz,&array);CHKERRQ(ierr); 2742 for (i=0;i<j;i++) onz[i] = (PetscInt)array[i]; 2743 2744 ierr = VecRestoreArray(vec_onz,&array);CHKERRQ(ierr); 2745 ierr = PetscFree(my_dnz);CHKERRQ(ierr); 2746 ierr = PetscFree(my_onz);CHKERRQ(ierr); 2747 ierr = PetscFree(row_ownership);CHKERRQ(ierr); 2748 ierr = VecDestroy(&vec_dnz);CHKERRQ(ierr); 2749 ierr = VecDestroy(&vec_onz);CHKERRQ(ierr); 2750 } else { 2751 for (k=0;k<size_prec_comm;k++){ 2752 offset=pcbddc->local_primal_displacements[k]; 2753 offset2=localdispl2[k]; 2754 ins_local_primal_size = pcbddc->local_primal_sizes[k]; 2755 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&ins_local_primal_indices);CHKERRQ(ierr); 2756 for (j=0;j<ins_local_primal_size;j++){ 2757 ins_local_primal_indices[j]=(PetscInt)pcbddc->replicated_local_primal_indices[offset+j]; 2758 } 2759 for (j=0;j<ins_local_primal_size;j++) { 2760 ierr = MatPreallocateSet(ins_local_primal_indices[j],ins_local_primal_size,ins_local_primal_indices,dnz,onz);CHKERRQ(ierr); 2761 } 2762 ierr = PetscFree(ins_local_primal_indices);CHKERRQ(ierr); 2763 } 2764 } 2765 2766 /* check */ 2767 for (i=0;i<lrows;i++) { 2768 if (dnz[i]>lcols) dnz[i]=lcols; 2769 if (onz[i]>pcbddc->coarse_size-lcols) onz[i]=pcbddc->coarse_size-lcols; 2770 } 2771 ierr = MatSeqAIJSetPreallocation(pcbddc->coarse_mat,0,dnz);CHKERRQ(ierr); 2772 ierr = MatMPIAIJSetPreallocation(pcbddc->coarse_mat,0,dnz,0,onz);CHKERRQ(ierr); 2773 ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr); 2774 } else { 2775 ierr = MatSeqAIJSetPreallocation(matis_coarse_local_mat,0,dnz);CHKERRQ(ierr); 2776 ierr = PetscFree(dnz);CHKERRQ(ierr); 2777 } 2778 /* insert values */ 2779 if (pcbddc->coarse_problem_type == PARALLEL_BDDC) { 2780 ierr = MatSetValues(pcbddc->coarse_mat,ins_local_primal_size,ins_local_primal_indices,ins_local_primal_size,ins_local_primal_indices,ins_coarse_mat_vals,ADD_VALUES);CHKERRQ(ierr); 2781 } else if (pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2782 if (pcbddc->coarsening_ratio == 1) { 2783 ins_coarse_mat_vals = coarse_submat_vals; 2784 ierr = MatSetValues(pcbddc->coarse_mat,ins_local_primal_size,ins_local_primal_indices,ins_local_primal_size,ins_local_primal_indices,ins_coarse_mat_vals,INSERT_VALUES);CHKERRQ(ierr); 2785 } else { 2786 ierr = PetscFree(ins_local_primal_indices);CHKERRQ(ierr); 2787 for (k=0;k<pcbddc->replicated_primal_size;k++) { 2788 offset = pcbddc->local_primal_displacements[k]; 2789 offset2 = localdispl2[k]; 2790 ins_local_primal_size = pcbddc->local_primal_displacements[k+1]-pcbddc->local_primal_displacements[k]; 2791 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&ins_local_primal_indices);CHKERRQ(ierr); 2792 for (j=0;j<ins_local_primal_size;j++){ 2793 ins_local_primal_indices[j]=(PetscInt)pcbddc->replicated_local_primal_indices[offset+j]; 2794 } 2795 ins_coarse_mat_vals = &temp_coarse_mat_vals[offset2]; 2796 ierr = MatSetValues(pcbddc->coarse_mat,ins_local_primal_size,ins_local_primal_indices,ins_local_primal_size,ins_local_primal_indices,ins_coarse_mat_vals,ADD_VALUES);CHKERRQ(ierr); 2797 ierr = PetscFree(ins_local_primal_indices);CHKERRQ(ierr); 2798 } 2799 } 2800 ins_local_primal_indices = 0; 2801 ins_coarse_mat_vals = 0; 2802 } else { 2803 for (k=0;k<size_prec_comm;k++){ 2804 offset=pcbddc->local_primal_displacements[k]; 2805 offset2=localdispl2[k]; 2806 ins_local_primal_size = pcbddc->local_primal_sizes[k]; 2807 ierr = PetscMalloc(ins_local_primal_size*sizeof(PetscInt),&ins_local_primal_indices);CHKERRQ(ierr); 2808 for (j=0;j<ins_local_primal_size;j++){ 2809 ins_local_primal_indices[j]=(PetscInt)pcbddc->replicated_local_primal_indices[offset+j]; 2810 } 2811 ins_coarse_mat_vals = &temp_coarse_mat_vals[offset2]; 2812 ierr = MatSetValues(pcbddc->coarse_mat,ins_local_primal_size,ins_local_primal_indices,ins_local_primal_size,ins_local_primal_indices,ins_coarse_mat_vals,ADD_VALUES);CHKERRQ(ierr); 2813 ierr = PetscFree(ins_local_primal_indices);CHKERRQ(ierr); 2814 } 2815 ins_local_primal_indices = 0; 2816 ins_coarse_mat_vals = 0; 2817 } 2818 ierr = MatAssemblyBegin(pcbddc->coarse_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2819 ierr = MatAssemblyEnd(pcbddc->coarse_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2820 /* symmetry of coarse matrix */ 2821 if (issym) { 2822 ierr = MatSetOption(pcbddc->coarse_mat,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); 2823 } 2824 ierr = MatGetVecs(pcbddc->coarse_mat,&pcbddc->coarse_vec,&pcbddc->coarse_rhs);CHKERRQ(ierr); 2825 } 2826 2827 /* create loc to glob scatters if needed */ 2828 if (pcbddc->coarse_communications_type == SCATTERS_BDDC) { 2829 IS local_IS,global_IS; 2830 ierr = ISCreateStride(PETSC_COMM_SELF,pcbddc->local_primal_size,0,1,&local_IS);CHKERRQ(ierr); 2831 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_indices,PETSC_COPY_VALUES,&global_IS);CHKERRQ(ierr); 2832 ierr = VecScatterCreate(pcbddc->vec1_P,local_IS,pcbddc->coarse_vec,global_IS,&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 2833 ierr = ISDestroy(&local_IS);CHKERRQ(ierr); 2834 ierr = ISDestroy(&global_IS);CHKERRQ(ierr); 2835 } 2836 2837 /* free memory no longer needed */ 2838 if (coarse_ISLG) { ierr = ISLocalToGlobalMappingDestroy(&coarse_ISLG);CHKERRQ(ierr); } 2839 if (ins_local_primal_indices) { ierr = PetscFree(ins_local_primal_indices);CHKERRQ(ierr); } 2840 if (ins_coarse_mat_vals) { ierr = PetscFree(ins_coarse_mat_vals);CHKERRQ(ierr); } 2841 if (localsizes2) { ierr = PetscFree(localsizes2);CHKERRQ(ierr); } 2842 if (localdispl2) { ierr = PetscFree(localdispl2);CHKERRQ(ierr); } 2843 if (temp_coarse_mat_vals) { ierr = PetscFree(temp_coarse_mat_vals);CHKERRQ(ierr); } 2844 2845 /* Compute coarse null space */ 2846 CoarseNullSpace = 0; 2847 if (pcbddc->NullSpace) { 2848 ierr = PCBDDCNullSpaceAssembleCoarse(pc,&CoarseNullSpace);CHKERRQ(ierr); 2849 } 2850 2851 /* KSP for coarse problem */ 2852 if (rank_prec_comm == active_rank) { 2853 PetscBool isbddc=PETSC_FALSE; 2854 2855 ierr = KSPCreate(coarse_comm,&pcbddc->coarse_ksp);CHKERRQ(ierr); 2856 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp,(PetscObject)pc,1);CHKERRQ(ierr); 2857 ierr = KSPSetOperators(pcbddc->coarse_ksp,pcbddc->coarse_mat,pcbddc->coarse_mat,SAME_PRECONDITIONER);CHKERRQ(ierr); 2858 ierr = KSPSetTolerances(pcbddc->coarse_ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,max_it_coarse_ksp);CHKERRQ(ierr); 2859 ierr = KSPSetType(pcbddc->coarse_ksp,coarse_ksp_type);CHKERRQ(ierr); 2860 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 2861 ierr = PCSetType(pc_temp,coarse_pc_type);CHKERRQ(ierr); 2862 /* Allow user's customization */ 2863 ierr = KSPSetOptionsPrefix(pcbddc->coarse_ksp,"coarse_");CHKERRQ(ierr); 2864 /* Set Up PC for coarse problem BDDC */ 2865 if (pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2866 i = pcbddc->current_level+1; 2867 ierr = PCBDDCSetLevel(pc_temp,i);CHKERRQ(ierr); 2868 ierr = PCBDDCSetCoarseningRatio(pc_temp,pcbddc->coarsening_ratio);CHKERRQ(ierr); 2869 ierr = PCBDDCSetMaxLevels(pc_temp,pcbddc->max_levels);CHKERRQ(ierr); 2870 ierr = PCBDDCSetCoarseProblemType(pc_temp,MULTILEVEL_BDDC);CHKERRQ(ierr); 2871 if (CoarseNullSpace) { 2872 ierr = PCBDDCSetNullSpace(pc_temp,CoarseNullSpace);CHKERRQ(ierr); 2873 } 2874 if (dbg_flag) { 2875 ierr = PetscViewerASCIIPrintf(viewer,"----------------Level %d: Setting up level %d---------------\n",pcbddc->current_level,i);CHKERRQ(ierr); 2876 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2877 } 2878 } else { 2879 if (CoarseNullSpace) { 2880 ierr = KSPSetNullSpace(pcbddc->coarse_ksp,CoarseNullSpace);CHKERRQ(ierr); 2881 } 2882 } 2883 ierr = KSPSetFromOptions(pcbddc->coarse_ksp);CHKERRQ(ierr); 2884 ierr = KSPSetUp(pcbddc->coarse_ksp);CHKERRQ(ierr); 2885 2886 ierr = KSPGetTolerances(pcbddc->coarse_ksp,NULL,NULL,NULL,&j);CHKERRQ(ierr); 2887 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 2888 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCBDDC,&isbddc);CHKERRQ(ierr); 2889 if (j == 1) { 2890 ierr = KSPSetNormType(pcbddc->coarse_ksp,KSP_NORM_NONE);CHKERRQ(ierr); 2891 if (isbddc) { 2892 ierr = PCBDDCSetUseExactDirichlet(pc_temp,PETSC_FALSE);CHKERRQ(ierr); 2893 } 2894 } 2895 } 2896 /* Check coarse problem if requested */ 2897 if ( dbg_flag && rank_prec_comm == active_rank ) { 2898 KSP check_ksp; 2899 PC check_pc; 2900 Vec check_vec; 2901 PetscReal abs_infty_error,infty_error,lambda_min,lambda_max; 2902 KSPType check_ksp_type; 2903 2904 /* Create ksp object suitable for extreme eigenvalues' estimation */ 2905 ierr = KSPCreate(coarse_comm,&check_ksp);CHKERRQ(ierr); 2906 ierr = KSPSetOperators(check_ksp,pcbddc->coarse_mat,pcbddc->coarse_mat,SAME_PRECONDITIONER);CHKERRQ(ierr); 2907 ierr = KSPSetTolerances(check_ksp,1.e-12,1.e-12,PETSC_DEFAULT,pcbddc->coarse_size);CHKERRQ(ierr); 2908 if (pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2909 if (issym) check_ksp_type = KSPCG; 2910 else check_ksp_type = KSPGMRES; 2911 ierr = KSPSetComputeSingularValues(check_ksp,PETSC_TRUE);CHKERRQ(ierr); 2912 } else { 2913 check_ksp_type = KSPPREONLY; 2914 } 2915 ierr = KSPSetType(check_ksp,check_ksp_type);CHKERRQ(ierr); 2916 ierr = KSPGetPC(pcbddc->coarse_ksp,&check_pc);CHKERRQ(ierr); 2917 ierr = KSPSetPC(check_ksp,check_pc);CHKERRQ(ierr); 2918 ierr = KSPSetUp(check_ksp);CHKERRQ(ierr); 2919 /* create random vec */ 2920 ierr = VecDuplicate(pcbddc->coarse_vec,&check_vec);CHKERRQ(ierr); 2921 ierr = VecSetRandom(check_vec,NULL);CHKERRQ(ierr); 2922 if (CoarseNullSpace) { 2923 ierr = MatNullSpaceRemove(CoarseNullSpace,check_vec,NULL);CHKERRQ(ierr); 2924 } 2925 ierr = MatMult(pcbddc->coarse_mat,check_vec,pcbddc->coarse_rhs);CHKERRQ(ierr); 2926 /* solve coarse problem */ 2927 ierr = KSPSolve(check_ksp,pcbddc->coarse_rhs,pcbddc->coarse_vec);CHKERRQ(ierr); 2928 if (CoarseNullSpace) { 2929 ierr = MatNullSpaceRemove(CoarseNullSpace,pcbddc->coarse_vec,NULL);CHKERRQ(ierr); 2930 } 2931 /* check coarse problem residual error */ 2932 ierr = VecAXPY(check_vec,-1.0,pcbddc->coarse_vec);CHKERRQ(ierr); 2933 ierr = VecNorm(check_vec,NORM_INFINITY,&infty_error);CHKERRQ(ierr); 2934 ierr = MatMult(pcbddc->coarse_mat,check_vec,pcbddc->coarse_rhs);CHKERRQ(ierr); 2935 ierr = VecNorm(pcbddc->coarse_rhs,NORM_INFINITY,&abs_infty_error);CHKERRQ(ierr); 2936 ierr = VecDestroy(&check_vec);CHKERRQ(ierr); 2937 /* get eigenvalue estimation if inexact */ 2938 if (pcbddc->coarse_problem_type == MULTILEVEL_BDDC) { 2939 ierr = KSPComputeExtremeSingularValues(check_ksp,&lambda_max,&lambda_min);CHKERRQ(ierr); 2940 ierr = KSPGetIterationNumber(check_ksp,&k);CHKERRQ(ierr); 2941 ierr = PetscViewerASCIIPrintf(viewer,"Coarse problem eigenvalues estimated with %d iterations of %s.\n",k,check_ksp_type);CHKERRQ(ierr); 2942 ierr = PetscViewerASCIIPrintf(viewer,"Coarse problem eigenvalues: % 1.14e %1.14e\n",lambda_min,lambda_max);CHKERRQ(ierr); 2943 } 2944 ierr = PetscViewerASCIIPrintf(viewer,"Coarse problem exact infty_error : %1.14e\n",infty_error);CHKERRQ(ierr); 2945 ierr = PetscViewerASCIIPrintf(viewer,"Coarse problem residual infty_error: %1.14e\n",abs_infty_error);CHKERRQ(ierr); 2946 ierr = KSPDestroy(&check_ksp);CHKERRQ(ierr); 2947 } 2948 if (dbg_flag) { 2949 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 2950 } 2951 ierr = MatNullSpaceDestroy(&CoarseNullSpace);CHKERRQ(ierr); 2952 2953 PetscFunctionReturn(0); 2954 } 2955 2956