1 /* TODOLIST 2 3 Solvers 4 - Add support for cholesky for coarse solver (similar to local solvers) 5 - Propagate ksp prefixes for solvers to mat objects? 6 7 User interface 8 - ** DM attached to pc? 9 10 Debugging output 11 - * Better management of verbosity levels of debugging output 12 13 Extra 14 - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)? 15 - BDDC with MG framework? 16 17 FETIDP 18 - Move FETIDP code to its own classes 19 20 MATIS related operations contained in BDDC code 21 - Provide general case for subassembling 22 23 */ 24 25 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/ /* includes for fortran wrappers */ 26 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 27 #include <petscblaslapack.h> 28 29 /* temporarily declare it */ 30 PetscErrorCode PCApply_BDDC(PC,Vec,Vec); 31 32 /* -------------------------------------------------------------------------- */ 33 #undef __FUNCT__ 34 #define __FUNCT__ "PCSetFromOptions_BDDC" 35 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc) 36 { 37 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 38 PetscErrorCode ierr; 39 40 PetscFunctionBegin; 41 ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr); 42 /* Verbose debugging */ 43 ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr); 44 /* Primal space cumstomization */ 45 ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr); 46 ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr); 47 ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr); 48 ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr); 49 ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr); 50 ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is used when multiple constraints are present)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr); 51 /* Change of basis */ 52 ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr); 53 ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr); 54 if (!pcbddc->use_change_of_basis) { 55 pcbddc->use_change_on_faces = PETSC_FALSE; 56 } 57 /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */ 58 ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr); 59 ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr); 60 ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr); 61 ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr); 62 ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr); 63 ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr); 64 ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr); 65 ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr); 66 ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr); 67 ierr = PetscOptionsBool("-pc_bddc_deluxe_faster","Faster application of deluxe scaling (requires extra work during setup)","none",pcbddc->faster_deluxe,&pcbddc->faster_deluxe,NULL);CHKERRQ(ierr); 68 ierr = PetscOptionsReal("-pc_bddc_adaptive_threshold","Threshold to be used for adaptive selection of constraints","none",pcbddc->adaptive_threshold,&pcbddc->adaptive_threshold,NULL);CHKERRQ(ierr); 69 ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr); 70 ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr); 71 ierr = PetscOptionsBool("-pc_bddc_symmetric","Symmetric computation of primal basis functions","none",pcbddc->symmetric_primal,&pcbddc->symmetric_primal,NULL);CHKERRQ(ierr); 72 ierr = PetscOptionsInt("-pc_bddc_coarse_adj","Number of processors where to map the coarse adjacency list","none",pcbddc->coarse_adj_red,&pcbddc->coarse_adj_red,NULL);CHKERRQ(ierr); 73 ierr = PetscOptionsBool("-pc_bddc_benign_trick","Apply the benign subspace trick to a class of saddle point problems","none",pcbddc->benign_saddle_point,&pcbddc->benign_saddle_point,NULL);CHKERRQ(ierr); 74 ierr = PetscOptionsTail();CHKERRQ(ierr); 75 PetscFunctionReturn(0); 76 } 77 /* -------------------------------------------------------------------------- */ 78 #undef __FUNCT__ 79 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC" 80 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change) 81 { 82 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 83 PetscErrorCode ierr; 84 85 PetscFunctionBegin; 86 ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 87 ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr); 88 pcbddc->user_ChangeOfBasisMatrix = change; 89 PetscFunctionReturn(0); 90 } 91 #undef __FUNCT__ 92 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat" 93 /*@ 94 PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs 95 96 Collective on PC 97 98 Input Parameters: 99 + pc - the preconditioning context 100 - change - the change of basis matrix 101 102 Level: intermediate 103 104 Notes: 105 106 .seealso: PCBDDC 107 @*/ 108 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change) 109 { 110 PetscErrorCode ierr; 111 112 PetscFunctionBegin; 113 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 114 PetscValidHeaderSpecific(change,MAT_CLASSID,2); 115 PetscCheckSameComm(pc,1,change,2); 116 if (pc->mat) { 117 PetscInt rows_c,cols_c,rows,cols; 118 ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr); 119 ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr); 120 if (rows_c != rows) { 121 SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows); 122 } 123 if (cols_c != cols) { 124 SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols); 125 } 126 ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr); 127 ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr); 128 if (rows_c != rows) { 129 SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows); 130 } 131 if (cols_c != cols) { 132 SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols); 133 } 134 } 135 ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr); 136 PetscFunctionReturn(0); 137 } 138 /* -------------------------------------------------------------------------- */ 139 #undef __FUNCT__ 140 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC" 141 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices) 142 { 143 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 144 PetscErrorCode ierr; 145 146 PetscFunctionBegin; 147 ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr); 148 ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr); 149 pcbddc->user_primal_vertices = PrimalVertices; 150 PetscFunctionReturn(0); 151 } 152 #undef __FUNCT__ 153 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS" 154 /*@ 155 PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC 156 157 Collective 158 159 Input Parameters: 160 + pc - the preconditioning context 161 - PrimalVertices - index set of primal vertices in local numbering (can be empty) 162 163 Level: intermediate 164 165 Notes: 166 167 .seealso: PCBDDC 168 @*/ 169 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices) 170 { 171 PetscErrorCode ierr; 172 173 PetscFunctionBegin; 174 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 175 PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2); 176 PetscCheckSameComm(pc,1,PrimalVertices,2); 177 ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr); 178 PetscFunctionReturn(0); 179 } 180 /* -------------------------------------------------------------------------- */ 181 #undef __FUNCT__ 182 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC" 183 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k) 184 { 185 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 186 187 PetscFunctionBegin; 188 pcbddc->coarsening_ratio = k; 189 PetscFunctionReturn(0); 190 } 191 192 #undef __FUNCT__ 193 #define __FUNCT__ "PCBDDCSetCoarseningRatio" 194 /*@ 195 PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel 196 197 Logically collective on PC 198 199 Input Parameters: 200 + pc - the preconditioning context 201 - k - coarsening ratio (H/h at the coarser level) 202 203 Options Database Keys: 204 . -pc_bddc_coarsening_ratio 205 206 Level: intermediate 207 208 Notes: 209 Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level 210 211 .seealso: PCBDDC, PCBDDCSetLevels() 212 @*/ 213 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k) 214 { 215 PetscErrorCode ierr; 216 217 PetscFunctionBegin; 218 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 219 PetscValidLogicalCollectiveInt(pc,k,2); 220 ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr); 221 PetscFunctionReturn(0); 222 } 223 224 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */ 225 #undef __FUNCT__ 226 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC" 227 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg) 228 { 229 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 230 231 PetscFunctionBegin; 232 pcbddc->use_exact_dirichlet_trick = flg; 233 PetscFunctionReturn(0); 234 } 235 236 #undef __FUNCT__ 237 #define __FUNCT__ "PCBDDCSetUseExactDirichlet" 238 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg) 239 { 240 PetscErrorCode ierr; 241 242 PetscFunctionBegin; 243 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 244 PetscValidLogicalCollectiveBool(pc,flg,2); 245 ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr); 246 PetscFunctionReturn(0); 247 } 248 249 #undef __FUNCT__ 250 #define __FUNCT__ "PCBDDCSetLevel_BDDC" 251 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level) 252 { 253 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 254 255 PetscFunctionBegin; 256 pcbddc->current_level = level; 257 PetscFunctionReturn(0); 258 } 259 260 #undef __FUNCT__ 261 #define __FUNCT__ "PCBDDCSetLevel" 262 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level) 263 { 264 PetscErrorCode ierr; 265 266 PetscFunctionBegin; 267 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 268 PetscValidLogicalCollectiveInt(pc,level,2); 269 ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr); 270 PetscFunctionReturn(0); 271 } 272 273 #undef __FUNCT__ 274 #define __FUNCT__ "PCBDDCSetLevels_BDDC" 275 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels) 276 { 277 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 278 279 PetscFunctionBegin; 280 pcbddc->max_levels = levels; 281 PetscFunctionReturn(0); 282 } 283 284 #undef __FUNCT__ 285 #define __FUNCT__ "PCBDDCSetLevels" 286 /*@ 287 PCBDDCSetLevels - Sets the maximum number of levels for multilevel 288 289 Logically collective on PC 290 291 Input Parameters: 292 + pc - the preconditioning context 293 - levels - the maximum number of levels (max 9) 294 295 Options Database Keys: 296 . -pc_bddc_levels 297 298 Level: intermediate 299 300 Notes: 301 Default value is 0, i.e. traditional one-level BDDC 302 303 .seealso: PCBDDC, PCBDDCSetCoarseningRatio() 304 @*/ 305 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels) 306 { 307 PetscErrorCode ierr; 308 309 PetscFunctionBegin; 310 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 311 PetscValidLogicalCollectiveInt(pc,levels,2); 312 if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n"); 313 ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr); 314 PetscFunctionReturn(0); 315 } 316 /* -------------------------------------------------------------------------- */ 317 318 #undef __FUNCT__ 319 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC" 320 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace) 321 { 322 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 323 PetscErrorCode ierr; 324 325 PetscFunctionBegin; 326 ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr); 327 ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr); 328 pcbddc->NullSpace = NullSpace; 329 PetscFunctionReturn(0); 330 } 331 332 #undef __FUNCT__ 333 #define __FUNCT__ "PCBDDCSetNullSpace" 334 /*@ 335 PCBDDCSetNullSpace - Set nullspace for BDDC operator 336 337 Logically collective on PC and MatNullSpace 338 339 Input Parameters: 340 + pc - the preconditioning context 341 - NullSpace - Null space of the linear operator to be preconditioned (Pmat) 342 343 Level: intermediate 344 345 Notes: 346 347 .seealso: PCBDDC 348 @*/ 349 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace) 350 { 351 PetscErrorCode ierr; 352 353 PetscFunctionBegin; 354 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 355 PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2); 356 PetscCheckSameComm(pc,1,NullSpace,2); 357 ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr); 358 PetscFunctionReturn(0); 359 } 360 /* -------------------------------------------------------------------------- */ 361 362 #undef __FUNCT__ 363 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC" 364 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries) 365 { 366 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 367 PetscErrorCode ierr; 368 369 PetscFunctionBegin; 370 /* last user setting takes precendence -> destroy any other customization */ 371 ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 372 ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr); 373 ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr); 374 pcbddc->DirichletBoundaries = DirichletBoundaries; 375 pcbddc->recompute_topography = PETSC_TRUE; 376 PetscFunctionReturn(0); 377 } 378 379 #undef __FUNCT__ 380 #define __FUNCT__ "PCBDDCSetDirichletBoundaries" 381 /*@ 382 PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem. 383 384 Collective 385 386 Input Parameters: 387 + pc - the preconditioning context 388 - DirichletBoundaries - parallel IS defining the Dirichlet boundaries 389 390 Level: intermediate 391 392 Notes: 393 Provide the information if you used MatZeroRows/Columns routines. Any process can list any global node 394 395 .seealso: PCBDDC, PCBDDCSetDirichletBoundariesLocal(), MatZeroRows(), MatZeroRowsColumns() 396 @*/ 397 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries) 398 { 399 PetscErrorCode ierr; 400 401 PetscFunctionBegin; 402 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 403 PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2); 404 PetscCheckSameComm(pc,1,DirichletBoundaries,2); 405 ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr); 406 PetscFunctionReturn(0); 407 } 408 /* -------------------------------------------------------------------------- */ 409 410 #undef __FUNCT__ 411 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC" 412 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries) 413 { 414 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 415 PetscErrorCode ierr; 416 417 PetscFunctionBegin; 418 /* last user setting takes precendence -> destroy any other customization */ 419 ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 420 ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr); 421 ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr); 422 pcbddc->DirichletBoundariesLocal = DirichletBoundaries; 423 pcbddc->recompute_topography = PETSC_TRUE; 424 PetscFunctionReturn(0); 425 } 426 427 #undef __FUNCT__ 428 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal" 429 /*@ 430 PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering. 431 432 Collective 433 434 Input Parameters: 435 + pc - the preconditioning context 436 - DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering) 437 438 Level: intermediate 439 440 Notes: 441 442 .seealso: PCBDDC, PCBDDCSetDirichletBoundaries(), MatZeroRows(), MatZeroRowsColumns() 443 @*/ 444 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries) 445 { 446 PetscErrorCode ierr; 447 448 PetscFunctionBegin; 449 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 450 PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2); 451 PetscCheckSameComm(pc,1,DirichletBoundaries,2); 452 ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr); 453 PetscFunctionReturn(0); 454 } 455 /* -------------------------------------------------------------------------- */ 456 457 #undef __FUNCT__ 458 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC" 459 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries) 460 { 461 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 462 PetscErrorCode ierr; 463 464 PetscFunctionBegin; 465 /* last user setting takes precendence -> destroy any other customization */ 466 ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 467 ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr); 468 ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr); 469 pcbddc->NeumannBoundaries = NeumannBoundaries; 470 pcbddc->recompute_topography = PETSC_TRUE; 471 PetscFunctionReturn(0); 472 } 473 474 #undef __FUNCT__ 475 #define __FUNCT__ "PCBDDCSetNeumannBoundaries" 476 /*@ 477 PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem. 478 479 Collective 480 481 Input Parameters: 482 + pc - the preconditioning context 483 - NeumannBoundaries - parallel IS defining the Neumann boundaries 484 485 Level: intermediate 486 487 Notes: 488 Any process can list any global node 489 490 .seealso: PCBDDC, PCBDDCSetNeumannBoundariesLocal() 491 @*/ 492 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries) 493 { 494 PetscErrorCode ierr; 495 496 PetscFunctionBegin; 497 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 498 PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2); 499 PetscCheckSameComm(pc,1,NeumannBoundaries,2); 500 ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr); 501 PetscFunctionReturn(0); 502 } 503 /* -------------------------------------------------------------------------- */ 504 505 #undef __FUNCT__ 506 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC" 507 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries) 508 { 509 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 510 PetscErrorCode ierr; 511 512 PetscFunctionBegin; 513 /* last user setting takes precendence -> destroy any other customization */ 514 ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 515 ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr); 516 ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr); 517 pcbddc->NeumannBoundariesLocal = NeumannBoundaries; 518 pcbddc->recompute_topography = PETSC_TRUE; 519 PetscFunctionReturn(0); 520 } 521 522 #undef __FUNCT__ 523 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal" 524 /*@ 525 PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering. 526 527 Collective 528 529 Input Parameters: 530 + pc - the preconditioning context 531 - NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering) 532 533 Level: intermediate 534 535 Notes: 536 537 .seealso: PCBDDC, PCBDDCSetNeumannBoundaries() 538 @*/ 539 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries) 540 { 541 PetscErrorCode ierr; 542 543 PetscFunctionBegin; 544 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 545 PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2); 546 PetscCheckSameComm(pc,1,NeumannBoundaries,2); 547 ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr); 548 PetscFunctionReturn(0); 549 } 550 /* -------------------------------------------------------------------------- */ 551 552 #undef __FUNCT__ 553 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC" 554 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries) 555 { 556 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 557 558 PetscFunctionBegin; 559 *DirichletBoundaries = pcbddc->DirichletBoundaries; 560 PetscFunctionReturn(0); 561 } 562 563 #undef __FUNCT__ 564 #define __FUNCT__ "PCBDDCGetDirichletBoundaries" 565 /*@ 566 PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries 567 568 Collective 569 570 Input Parameters: 571 . pc - the preconditioning context 572 573 Output Parameters: 574 . DirichletBoundaries - index set defining the Dirichlet boundaries 575 576 Level: intermediate 577 578 Notes: 579 The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries 580 581 .seealso: PCBDDC 582 @*/ 583 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries) 584 { 585 PetscErrorCode ierr; 586 587 PetscFunctionBegin; 588 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 589 ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr); 590 PetscFunctionReturn(0); 591 } 592 /* -------------------------------------------------------------------------- */ 593 594 #undef __FUNCT__ 595 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC" 596 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries) 597 { 598 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 599 600 PetscFunctionBegin; 601 *DirichletBoundaries = pcbddc->DirichletBoundariesLocal; 602 PetscFunctionReturn(0); 603 } 604 605 #undef __FUNCT__ 606 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal" 607 /*@ 608 PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering) 609 610 Collective 611 612 Input Parameters: 613 . pc - the preconditioning context 614 615 Output Parameters: 616 . DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries 617 618 Level: intermediate 619 620 Notes: 621 The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetDirichletBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetDirichletBoundaries). 622 In the latter case, the IS will be available after PCSetUp. 623 624 .seealso: PCBDDC 625 @*/ 626 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries) 627 { 628 PetscErrorCode ierr; 629 630 PetscFunctionBegin; 631 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 632 ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr); 633 PetscFunctionReturn(0); 634 } 635 /* -------------------------------------------------------------------------- */ 636 637 #undef __FUNCT__ 638 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC" 639 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries) 640 { 641 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 642 643 PetscFunctionBegin; 644 *NeumannBoundaries = pcbddc->NeumannBoundaries; 645 PetscFunctionReturn(0); 646 } 647 648 #undef __FUNCT__ 649 #define __FUNCT__ "PCBDDCGetNeumannBoundaries" 650 /*@ 651 PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries 652 653 Collective 654 655 Input Parameters: 656 . pc - the preconditioning context 657 658 Output Parameters: 659 . NeumannBoundaries - index set defining the Neumann boundaries 660 661 Level: intermediate 662 663 Notes: 664 The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries 665 666 .seealso: PCBDDC 667 @*/ 668 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries) 669 { 670 PetscErrorCode ierr; 671 672 PetscFunctionBegin; 673 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 674 ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr); 675 PetscFunctionReturn(0); 676 } 677 /* -------------------------------------------------------------------------- */ 678 679 #undef __FUNCT__ 680 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC" 681 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries) 682 { 683 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 684 685 PetscFunctionBegin; 686 *NeumannBoundaries = pcbddc->NeumannBoundariesLocal; 687 PetscFunctionReturn(0); 688 } 689 690 #undef __FUNCT__ 691 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal" 692 /*@ 693 PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering) 694 695 Collective 696 697 Input Parameters: 698 . pc - the preconditioning context 699 700 Output Parameters: 701 . NeumannBoundaries - index set defining the subdomain part of Neumann boundaries 702 703 Level: intermediate 704 705 Notes: 706 The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetNeumannBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetNeumannBoundaries). 707 In the latter case, the IS will be available after PCSetUp. 708 709 .seealso: PCBDDC 710 @*/ 711 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries) 712 { 713 PetscErrorCode ierr; 714 715 PetscFunctionBegin; 716 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 717 ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr); 718 PetscFunctionReturn(0); 719 } 720 /* -------------------------------------------------------------------------- */ 721 722 #undef __FUNCT__ 723 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC" 724 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode) 725 { 726 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 727 PCBDDCGraph mat_graph = pcbddc->mat_graph; 728 PetscErrorCode ierr; 729 730 PetscFunctionBegin; 731 /* free old CSR */ 732 ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr); 733 /* TODO: PCBDDCGraphSetAdjacency */ 734 /* get CSR into graph structure */ 735 if (copymode == PETSC_COPY_VALUES) { 736 ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr); 737 ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr); 738 ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr); 739 ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr); 740 } else if (copymode == PETSC_OWN_POINTER) { 741 mat_graph->xadj = (PetscInt*)xadj; 742 mat_graph->adjncy = (PetscInt*)adjncy; 743 } 744 mat_graph->nvtxs_csr = nvtxs; 745 PetscFunctionReturn(0); 746 } 747 748 #undef __FUNCT__ 749 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph" 750 /*@ 751 PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local matrix 752 753 Not collective 754 755 Input Parameters: 756 + pc - the preconditioning context 757 . nvtxs - number of local vertices of the graph (i.e., the size of the local problem) 758 . xadj, adjncy - the CSR graph 759 - copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER. 760 761 Level: intermediate 762 763 Notes: 764 765 .seealso: PCBDDC,PetscCopyMode 766 @*/ 767 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode) 768 { 769 void (*f)(void) = 0; 770 PetscErrorCode ierr; 771 772 PetscFunctionBegin; 773 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 774 PetscValidIntPointer(xadj,3); 775 PetscValidIntPointer(adjncy,4); 776 if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) { 777 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__); 778 } 779 ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr); 780 /* free arrays if PCBDDC is not the PC type */ 781 ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr); 782 if (!f && copymode == PETSC_OWN_POINTER) { 783 ierr = PetscFree(xadj);CHKERRQ(ierr); 784 ierr = PetscFree(adjncy);CHKERRQ(ierr); 785 } 786 PetscFunctionReturn(0); 787 } 788 /* -------------------------------------------------------------------------- */ 789 790 #undef __FUNCT__ 791 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC" 792 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[]) 793 { 794 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 795 PetscInt i; 796 PetscErrorCode ierr; 797 798 PetscFunctionBegin; 799 /* Destroy ISes if they were already set */ 800 for (i=0;i<pcbddc->n_ISForDofsLocal;i++) { 801 ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 802 } 803 ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr); 804 /* last user setting takes precendence -> destroy any other customization */ 805 for (i=0;i<pcbddc->n_ISForDofs;i++) { 806 ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr); 807 } 808 ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr); 809 pcbddc->n_ISForDofs = 0; 810 /* allocate space then set */ 811 if (n_is) { 812 ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr); 813 } 814 for (i=0;i<n_is;i++) { 815 ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr); 816 pcbddc->ISForDofsLocal[i]=ISForDofs[i]; 817 } 818 pcbddc->n_ISForDofsLocal=n_is; 819 if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE; 820 pcbddc->recompute_topography = PETSC_TRUE; 821 PetscFunctionReturn(0); 822 } 823 824 #undef __FUNCT__ 825 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal" 826 /*@ 827 PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix 828 829 Collective 830 831 Input Parameters: 832 + pc - the preconditioning context 833 . n_is - number of index sets defining the fields 834 - ISForDofs - array of IS describing the fields in local ordering 835 836 Level: intermediate 837 838 Notes: 839 n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to the complement field. 840 841 .seealso: PCBDDC 842 @*/ 843 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[]) 844 { 845 PetscInt i; 846 PetscErrorCode ierr; 847 848 PetscFunctionBegin; 849 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 850 PetscValidLogicalCollectiveInt(pc,n_is,2); 851 for (i=0;i<n_is;i++) { 852 PetscCheckSameComm(pc,1,ISForDofs[i],3); 853 PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3); 854 } 855 ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr); 856 PetscFunctionReturn(0); 857 } 858 /* -------------------------------------------------------------------------- */ 859 860 #undef __FUNCT__ 861 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC" 862 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[]) 863 { 864 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 865 PetscInt i; 866 PetscErrorCode ierr; 867 868 PetscFunctionBegin; 869 /* Destroy ISes if they were already set */ 870 for (i=0;i<pcbddc->n_ISForDofs;i++) { 871 ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr); 872 } 873 ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr); 874 /* last user setting takes precendence -> destroy any other customization */ 875 for (i=0;i<pcbddc->n_ISForDofsLocal;i++) { 876 ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 877 } 878 ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr); 879 pcbddc->n_ISForDofsLocal = 0; 880 /* allocate space then set */ 881 if (n_is) { 882 ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr); 883 } 884 for (i=0;i<n_is;i++) { 885 ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr); 886 pcbddc->ISForDofs[i]=ISForDofs[i]; 887 } 888 pcbddc->n_ISForDofs=n_is; 889 if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE; 890 pcbddc->recompute_topography = PETSC_TRUE; 891 PetscFunctionReturn(0); 892 } 893 894 #undef __FUNCT__ 895 #define __FUNCT__ "PCBDDCSetDofsSplitting" 896 /*@ 897 PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix 898 899 Collective 900 901 Input Parameters: 902 + pc - the preconditioning context 903 . n_is - number of index sets defining the fields 904 - ISForDofs - array of IS describing the fields in global ordering 905 906 Level: intermediate 907 908 Notes: 909 Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to the complement field. 910 911 .seealso: PCBDDC 912 @*/ 913 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[]) 914 { 915 PetscInt i; 916 PetscErrorCode ierr; 917 918 PetscFunctionBegin; 919 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 920 PetscValidLogicalCollectiveInt(pc,n_is,2); 921 for (i=0;i<n_is;i++) { 922 PetscCheckSameComm(pc,1,ISForDofs[i],3); 923 PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3); 924 } 925 ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr); 926 PetscFunctionReturn(0); 927 } 928 929 /* -------------------------------------------------------------------------- */ 930 #undef __FUNCT__ 931 #define __FUNCT__ "PCPreSolve_BDDC" 932 /* -------------------------------------------------------------------------- */ 933 /* 934 PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial 935 guess if a transformation of basis approach has been selected. 936 937 Input Parameter: 938 + pc - the preconditioner contex 939 940 Application Interface Routine: PCPreSolve() 941 942 Notes: 943 The interface routine PCPreSolve() is not usually called directly by 944 the user, but instead is called by KSPSolve(). 945 */ 946 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x) 947 { 948 PetscErrorCode ierr; 949 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 950 PC_IS *pcis = (PC_IS*)(pc->data); 951 Vec used_vec; 952 PetscBool copy_rhs = PETSC_TRUE; 953 954 PetscFunctionBegin; 955 /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */ 956 if (ksp) { 957 PetscBool iscg; 958 ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr); 959 if (!iscg) { 960 ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr); 961 } 962 } 963 /* Creates parallel work vectors used in presolve */ 964 if (!pcbddc->original_rhs) { 965 ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr); 966 } 967 if (!pcbddc->temp_solution) { 968 ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr); 969 } 970 971 if (x) { 972 ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr); 973 used_vec = x; 974 } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */ 975 ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr); 976 used_vec = pcbddc->temp_solution; 977 ierr = VecSet(used_vec,0.0);CHKERRQ(ierr); 978 } 979 980 /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */ 981 if (ksp) { 982 /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */ 983 ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr); 984 if (!pcbddc->ksp_guess_nonzero) { 985 ierr = VecSet(used_vec,0.0);CHKERRQ(ierr); 986 } 987 } 988 989 pcbddc->rhs_change = PETSC_FALSE; 990 /* Take into account zeroed rows -> change rhs and store solution removed */ 991 if (rhs) { 992 IS dirIS = NULL; 993 994 /* DirichletBoundariesLocal may not be consistent among neighbours; gets a dirichlet dofs IS from graph (may be cached) */ 995 ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr); 996 if (dirIS) { 997 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 998 PetscInt dirsize,i,*is_indices; 999 PetscScalar *array_x; 1000 const PetscScalar *array_diagonal; 1001 1002 ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr); 1003 ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr); 1004 ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1005 ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1006 ierr = VecScatterBegin(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1007 ierr = VecScatterEnd(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1008 ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr); 1009 ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr); 1010 ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr); 1011 ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1012 for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]]; 1013 ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1014 ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr); 1015 ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr); 1016 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1017 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1018 pcbddc->rhs_change = PETSC_TRUE; 1019 ierr = ISDestroy(&dirIS);CHKERRQ(ierr); 1020 } 1021 } 1022 1023 /* remove the computed solution or the initial guess from the rhs */ 1024 if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) { 1025 /* store the original rhs */ 1026 if (copy_rhs) { 1027 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 1028 copy_rhs = PETSC_FALSE; 1029 } 1030 pcbddc->rhs_change = PETSC_TRUE; 1031 ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr); 1032 ierr = MatMultAdd(pc->mat,used_vec,rhs,rhs);CHKERRQ(ierr); 1033 ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr); 1034 ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr); 1035 if (ksp) { 1036 ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr); 1037 } 1038 } 1039 ierr = VecDestroy(&used_vec);CHKERRQ(ierr); 1040 1041 /* When using the benign trick: (TODO: what about FETI-DP?) 1042 - change rhs on pressures (iteration matrix is surely of type MATIS) 1043 - compute initial vector in benign space 1044 */ 1045 if (rhs && pcbddc->benign_saddle_point) { 1046 Mat_IS *matis = (Mat_IS*)(pc->mat->data); 1047 1048 /* store the original rhs */ 1049 if (copy_rhs) { 1050 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 1051 copy_rhs = PETSC_FALSE; 1052 } 1053 1054 /* now change (locally) the basis */ 1055 ierr = VecScatterBegin(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1056 ierr = VecScatterEnd(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1057 if (pcbddc->benign_change) { 1058 ierr = MatMultTranspose(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1059 ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1060 ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1061 /* change local iteration matrix */ 1062 ierr = MatPtAP(matis->A,pcbddc->benign_change,MAT_REUSE_MATRIX,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 1063 ierr = MatDestroy(&pcbddc->benign_original_mat);CHKERRQ(ierr); 1064 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1065 pcbddc->benign_original_mat = matis->A; 1066 ierr = MatDestroy(&matis->A);CHKERRQ(ierr); 1067 ierr = PetscObjectReference((PetscObject)pcbddc->local_mat);CHKERRQ(ierr); 1068 matis->A = pcbddc->local_mat; 1069 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 1070 } else { 1071 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1072 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1073 } 1074 pcbddc->rhs_change = PETSC_TRUE; 1075 1076 /* compute u^*_h as in Xuemin Tu's thesis (see Section 4.8.1) */ 1077 /* TODO: what about Stokes? */ 1078 if (!pcbddc->benign_vec) { 1079 ierr = VecDuplicate(rhs,&pcbddc->benign_vec);CHKERRQ(ierr); 1080 } 1081 ierr = VecSet(pcis->vec1_global,0.);CHKERRQ(ierr); 1082 pcbddc->benign_p0 = 0.; 1083 if (pcbddc->benign_p0_lidx >= 0) { 1084 const PetscScalar *array; 1085 1086 ierr = VecGetArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr); 1087 pcbddc->benign_p0 = array[pcbddc->benign_p0_lidx]; 1088 ierr = VecRestoreArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr); 1089 } 1090 ierr = PetscPrintf(PETSC_COMM_SELF,"[%d] benign u* should be %1.4e\n",PetscGlobalRank,pcbddc->benign_p0);CHKERRQ(ierr); 1091 ierr = PCBDDCBenignPopOrPushP0(pc,pcis->vec1_global,PETSC_FALSE);CHKERRQ(ierr); 1092 ierr = PCApply_BDDC(pc,pcis->vec1_global,pcbddc->benign_vec);CHKERRQ(ierr); 1093 pcbddc->benign_p0 = 0.; 1094 ierr = PCBDDCBenignPopOrPushP0(pc,pcbddc->benign_vec,PETSC_FALSE);CHKERRQ(ierr); 1095 if (pcbddc->benign_saddle_point) { 1096 Mat_IS* matis = (Mat_IS*)(pc->mat->data); 1097 ierr = VecScatterBegin(matis->rctx,pcbddc->benign_vec,matis->x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1098 ierr = VecScatterEnd(matis->rctx,pcbddc->benign_vec,matis->x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1099 1100 if (pcbddc->benign_p0_lidx >=0) { 1101 Mat B0; 1102 Vec dummy_vec; 1103 PetscScalar *array; 1104 PetscInt ii[2]; 1105 1106 ii[0] = 0; 1107 ii[1] = pcbddc->B0_ncol; 1108 ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,1,pcis->n,ii,pcbddc->B0_cols,pcbddc->B0_vals,&B0);CHKERRQ(ierr); 1109 ierr = MatCreateVecs(B0,NULL,&dummy_vec);CHKERRQ(ierr); 1110 ierr = MatMult(B0,matis->x,dummy_vec);CHKERRQ(ierr); 1111 ierr = VecGetArray(dummy_vec,&array);CHKERRQ(ierr); 1112 ierr = PetscPrintf(PETSC_COMM_SELF,"[%d] benign u* is %1.4e\n",PetscGlobalRank,array[0]);CHKERRQ(ierr); 1113 ierr = VecRestoreArray(dummy_vec,&array);CHKERRQ(ierr); 1114 ierr = MatDestroy(&B0);CHKERRQ(ierr); 1115 ierr = VecDestroy(&dummy_vec);CHKERRQ(ierr); 1116 } 1117 } 1118 } 1119 1120 /* change rhs and iteration matrix if using the change of basis */ 1121 if (pcbddc->ChangeOfBasisMatrix) { 1122 PCBDDCChange_ctx change_ctx; 1123 1124 /* get change ctx */ 1125 ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr); 1126 1127 /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */ 1128 ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr); 1129 ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr); 1130 change_ctx->original_mat = pc->mat; 1131 1132 /* change iteration matrix */ 1133 ierr = MatDestroy(&pc->mat);CHKERRQ(ierr); 1134 ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr); 1135 pc->mat = pcbddc->new_global_mat; 1136 1137 /* store the original rhs */ 1138 if (copy_rhs) { 1139 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 1140 copy_rhs = PETSC_FALSE; 1141 } 1142 1143 /* change rhs */ 1144 ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr); 1145 ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr); 1146 pcbddc->rhs_change = PETSC_TRUE; 1147 } 1148 1149 /* remove non-benign solution from the rhs */ 1150 if (pcbddc->benign_saddle_point) { 1151 /* store the original rhs */ 1152 if (copy_rhs) { 1153 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 1154 copy_rhs = PETSC_FALSE; 1155 } 1156 ierr = VecScale(pcbddc->benign_vec,-1.0);CHKERRQ(ierr); 1157 ierr = MatMultAdd(pc->mat,pcbddc->benign_vec,rhs,rhs);CHKERRQ(ierr); 1158 ierr = VecScale(pcbddc->benign_vec,-1.0);CHKERRQ(ierr); 1159 pcbddc->rhs_change = PETSC_TRUE; 1160 } 1161 1162 /* set initial guess if using PCG */ 1163 if (x && pcbddc->use_exact_dirichlet_trick) { 1164 ierr = VecSet(x,0.0);CHKERRQ(ierr); 1165 ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1166 ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1167 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1168 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1169 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1170 if (ksp) { 1171 ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr); 1172 } 1173 } 1174 1175 /* remove nullspace if present */ 1176 if (ksp && x && pcbddc->NullSpace) { 1177 ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr); 1178 /* store the original rhs */ 1179 if (copy_rhs) { 1180 ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr); 1181 copy_rhs = PETSC_FALSE; 1182 } 1183 pcbddc->rhs_change = PETSC_TRUE; 1184 ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr); 1185 } 1186 PetscFunctionReturn(0); 1187 } 1188 1189 /* -------------------------------------------------------------------------- */ 1190 #undef __FUNCT__ 1191 #define __FUNCT__ "PCPostSolve_BDDC" 1192 /* -------------------------------------------------------------------------- */ 1193 /* 1194 PCPostSolve_BDDC - Changes the computed solution if a transformation of basis 1195 approach has been selected. Also, restores rhs to its original state. 1196 1197 Input Parameter: 1198 + pc - the preconditioner contex 1199 1200 Application Interface Routine: PCPostSolve() 1201 1202 Notes: 1203 The interface routine PCPostSolve() is not usually called directly by 1204 the user, but instead is called by KSPSolve(). 1205 */ 1206 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x) 1207 { 1208 PetscErrorCode ierr; 1209 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1210 1211 PetscFunctionBegin; 1212 if (pcbddc->ChangeOfBasisMatrix) { 1213 PCBDDCChange_ctx change_ctx; 1214 1215 /* get change ctx */ 1216 ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr); 1217 1218 /* restore iteration matrix */ 1219 ierr = MatDestroy(&pc->mat);CHKERRQ(ierr); 1220 ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr); 1221 pc->mat = change_ctx->original_mat; 1222 1223 /* get solution in original basis */ 1224 if (x) { 1225 PC_IS *pcis = (PC_IS*)(pc->data); 1226 1227 /* restore solution on pressures */ 1228 if (pcbddc->benign_saddle_point) { 1229 Mat_IS *matis = (Mat_IS*)pc->mat->data; 1230 1231 /* add non-benign solution */ 1232 ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr); 1233 1234 /* change basis on pressures for x */ 1235 ierr = VecScatterBegin(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1236 ierr = VecScatterEnd(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1237 if (pcbddc->benign_change) { 1238 1239 ierr = MatMult(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1240 ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1241 ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1242 } else { 1243 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1244 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1245 } 1246 } 1247 /* change basis on x */ 1248 ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr); 1249 ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr); 1250 } 1251 } 1252 1253 /* add solution removed in presolve */ 1254 if (x && pcbddc->rhs_change) { 1255 ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr); 1256 } 1257 1258 /* restore rhs to its original state */ 1259 if (rhs && pcbddc->rhs_change) { 1260 ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr); 1261 } 1262 pcbddc->rhs_change = PETSC_FALSE; 1263 1264 /* restore ksp guess state */ 1265 if (ksp) { 1266 ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr); 1267 } 1268 PetscFunctionReturn(0); 1269 } 1270 /* -------------------------------------------------------------------------- */ 1271 #undef __FUNCT__ 1272 #define __FUNCT__ "PCSetUp_BDDC" 1273 /* -------------------------------------------------------------------------- */ 1274 /* 1275 PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner 1276 by setting data structures and options. 1277 1278 Input Parameter: 1279 + pc - the preconditioner context 1280 1281 Application Interface Routine: PCSetUp() 1282 1283 Notes: 1284 The interface routine PCSetUp() is not usually called directly by 1285 the user, but instead is called by PCApply() if necessary. 1286 */ 1287 PetscErrorCode PCSetUp_BDDC(PC pc) 1288 { 1289 PetscErrorCode ierr; 1290 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 1291 Mat_IS* matis; 1292 MatNullSpace nearnullspace; 1293 IS zerodiag = NULL; 1294 PetscInt nrows,ncols; 1295 PetscBool computetopography,computesolvers,computesubschurs; 1296 PetscBool computeconstraintsmatrix; 1297 PetscBool new_nearnullspace_provided,ismatis; 1298 1299 PetscFunctionBegin; 1300 ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr); 1301 if (!ismatis) { 1302 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS"); 1303 } 1304 ierr = MatGetSize(pc->pmat,&nrows,&ncols);CHKERRQ(ierr); 1305 if (nrows != ncols) { 1306 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"PCBDDC preconditioner requires a square preconditioning matrix"); 1307 } 1308 matis = (Mat_IS*)pc->pmat->data; 1309 /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */ 1310 /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup 1311 Also, BDDC directly build the Dirichlet problem */ 1312 /* split work */ 1313 if (pc->setupcalled) { 1314 if (pc->flag == SAME_NONZERO_PATTERN) { 1315 computetopography = PETSC_FALSE; 1316 computesolvers = PETSC_TRUE; 1317 } else { /* DIFFERENT_NONZERO_PATTERN */ 1318 computetopography = PETSC_TRUE; 1319 computesolvers = PETSC_TRUE; 1320 } 1321 } else { 1322 computetopography = PETSC_TRUE; 1323 computesolvers = PETSC_TRUE; 1324 } 1325 if (pcbddc->recompute_topography) { 1326 computetopography = PETSC_TRUE; 1327 } 1328 computeconstraintsmatrix = PETSC_FALSE; 1329 if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) { 1330 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling"); 1331 } 1332 pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling); 1333 if (pcbddc->adaptive_selection) pcbddc->use_faces = PETSC_TRUE; 1334 1335 computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling); 1336 if (pcbddc->faster_deluxe && pcbddc->adaptive_selection && pcbddc->use_change_of_basis) { 1337 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute faster deluxe if adaptivity and change of basis are both requested. Rerun with -pc_bddc_deluxe_faster false"); 1338 } 1339 1340 /* check if the iteration matrix is of type MATIS in case the benign trick has been requested */ 1341 ierr = PetscObjectTypeCompare((PetscObject)pc->mat,MATIS,&ismatis);CHKERRQ(ierr); 1342 if (pcbddc->benign_saddle_point && !ismatis) { 1343 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner with benign subspace trick requires the iteration matrix to be of type MATIS"); 1344 } 1345 1346 /* Get stdout for dbg */ 1347 if (pcbddc->dbg_flag) { 1348 if (!pcbddc->dbg_viewer) { 1349 pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc)); 1350 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 1351 } 1352 ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 1353 } 1354 1355 if (pcbddc->user_ChangeOfBasisMatrix) { 1356 /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */ 1357 pcbddc->use_change_of_basis = PETSC_FALSE; 1358 ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 1359 } else { 1360 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 1361 if (!pcbddc->benign_saddle_point) { 1362 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1363 pcbddc->local_mat = matis->A; 1364 } else { /* TODO: handle user change of basis */ 1365 PetscInt nz; 1366 PetscBool sorted; 1367 1368 ierr = MatFindZeroDiagonals(matis->A,&zerodiag);CHKERRQ(ierr); 1369 ierr = ISSorted(zerodiag,&sorted);CHKERRQ(ierr); 1370 if (!sorted) { 1371 ierr = ISSort(zerodiag);CHKERRQ(ierr); 1372 } 1373 ierr = ISGetLocalSize(zerodiag,&nz);CHKERRQ(ierr); 1374 if (nz) { 1375 IS zerodiagc; 1376 PetscScalar *array; 1377 const PetscInt *idxs,*idxsc; 1378 PetscInt i,n,*nnz; 1379 1380 /* TODO: add check for shared dofs */ 1381 pcbddc->use_change_of_basis = PETSC_TRUE; 1382 pcbddc->use_change_on_faces = PETSC_TRUE; 1383 ierr = MatGetLocalSize(matis->A,&n,NULL);CHKERRQ(ierr); 1384 ierr = ISComplement(zerodiag,0,n,&zerodiagc);CHKERRQ(ierr); 1385 ierr = ISGetIndices(zerodiag,&idxs);CHKERRQ(ierr); 1386 ierr = ISGetIndices(zerodiagc,&idxsc);CHKERRQ(ierr); 1387 /* local change of basis for pressures */ 1388 ierr = MatDestroy(&pcbddc->benign_change);CHKERRQ(ierr); 1389 ierr = MatCreate(PetscObjectComm((PetscObject)matis->A),&pcbddc->benign_change);CHKERRQ(ierr); 1390 ierr = MatSetType(pcbddc->benign_change,MATAIJ);CHKERRQ(ierr); 1391 ierr = MatSetSizes(pcbddc->benign_change,n,n,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); 1392 ierr = PetscMalloc1(n,&nnz);CHKERRQ(ierr); 1393 for (i=0;i<n-nz;i++) nnz[idxsc[i]] = 1; /* identity on velocities */ 1394 for (i=0;i<nz-1;i++) nnz[idxs[i]] = 2; /* change on pressures */ 1395 nnz[idxs[nz-1]] = nz; /* last local pressure dof: _0 set */ 1396 ierr = MatSeqAIJSetPreallocation(pcbddc->benign_change,0,nnz);CHKERRQ(ierr); 1397 ierr = PetscFree(nnz);CHKERRQ(ierr); 1398 /* set identity on velocities */ 1399 for (i=0;i<n-nz;i++) { 1400 ierr = MatSetValue(pcbddc->benign_change,idxsc[i],idxsc[i],1.,INSERT_VALUES);CHKERRQ(ierr); 1401 } 1402 /* set change on pressures */ 1403 for (i=0;i<nz-1;i++) { 1404 PetscScalar vals[2]; 1405 PetscInt cols[2]; 1406 1407 /* TODO: add quadrature */ 1408 cols[0] = idxs[i]; 1409 cols[1] = idxs[nz-1]; 1410 vals[0] = 1.; 1411 vals[1] = 1./nz; 1412 ierr = MatSetValues(pcbddc->benign_change,1,idxs+i,2,cols,vals,INSERT_VALUES);CHKERRQ(ierr); 1413 } 1414 ierr = PetscMalloc1(nz,&array);CHKERRQ(ierr); 1415 for (i=0;i<nz-1;i++) array[i] = -1.; 1416 array[nz-1] = 1./nz; 1417 ierr = MatSetValues(pcbddc->benign_change,1,idxs+nz-1,nz,idxs,array,INSERT_VALUES);CHKERRQ(ierr); 1418 ierr = PetscFree(array);CHKERRQ(ierr); 1419 ierr = MatAssemblyBegin(pcbddc->benign_change,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1420 ierr = MatAssemblyEnd(pcbddc->benign_change,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1421 /* TODO: need optimization? */ 1422 ierr = MatPtAP(matis->A,pcbddc->benign_change,MAT_INITIAL_MATRIX,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 1423 /* store local and global idxs for p0 */ 1424 pcbddc->benign_p0_lidx = idxs[nz-1]; 1425 ierr = ISLocalToGlobalMappingApply(pc->pmat->rmap->mapping,1,&idxs[nz-1],&pcbddc->benign_p0_gidx);CHKERRQ(ierr); 1426 ierr = ISRestoreIndices(zerodiag,&idxs);CHKERRQ(ierr); 1427 ierr = ISRestoreIndices(zerodiagc,&idxsc);CHKERRQ(ierr); 1428 ierr = ISDestroy(&zerodiagc);CHKERRQ(ierr); 1429 /* pop B0 mat from pcbddc->local_mat */ 1430 ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr); 1431 } else { /* this is unlikely to happen but, just in case, destroy the empty IS */ 1432 pcbddc->benign_p0_lidx = -1; 1433 pcbddc->benign_p0_gidx = -1; 1434 ierr = ISDestroy(&zerodiag);CHKERRQ(ierr); 1435 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1436 pcbddc->local_mat = matis->A; 1437 } 1438 } 1439 } 1440 1441 /* workaround for reals */ 1442 #if !defined(PETSC_USE_COMPLEX) 1443 if (matis->A->symmetric_set) { 1444 ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,matis->A->symmetric);CHKERRQ(ierr); 1445 } 1446 #endif 1447 if (matis->A->symmetric_set) { 1448 ierr = MatSetOption(pcbddc->local_mat,MAT_SYMMETRIC,matis->A->symmetric);CHKERRQ(ierr); 1449 } 1450 if (matis->A->spd_set) { 1451 ierr = MatSetOption(pcbddc->local_mat,MAT_SPD,matis->A->spd);CHKERRQ(ierr); 1452 } 1453 1454 /* Set up all the "iterative substructuring" common block without computing solvers */ 1455 { 1456 Mat temp_mat; 1457 1458 temp_mat = matis->A; 1459 matis->A = pcbddc->local_mat; 1460 ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr); 1461 pcbddc->local_mat = matis->A; 1462 matis->A = temp_mat; 1463 } 1464 1465 /* Analyze interface */ 1466 if (computetopography) { 1467 ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr); 1468 computeconstraintsmatrix = PETSC_TRUE; 1469 } 1470 1471 /* check b(v_I,p_0) = 0 for all v_I */ 1472 if (pcbddc->dbg_flag && zerodiag) { 1473 PC_IS *pcis = (PC_IS*)(pc->data); 1474 IS dirIS = NULL; 1475 PetscScalar *vals; 1476 const PetscInt *idxs; 1477 PetscInt i,nz; 1478 1479 /* p0 */ 1480 ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr); 1481 ierr = PetscMalloc1(pcis->n,&vals);CHKERRQ(ierr); 1482 ierr = ISGetLocalSize(zerodiag,&nz);CHKERRQ(ierr); 1483 ierr = ISGetIndices(zerodiag,&idxs);CHKERRQ(ierr); 1484 for (i=0;i<nz;i++) vals[i] = 1.; 1485 ierr = VecSetValues(pcis->vec1_N,nz,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1486 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 1487 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 1488 /* v_I */ 1489 ierr = VecSetRandom(pcis->vec2_N,NULL);CHKERRQ(ierr); 1490 for (i=0;i<nz;i++) vals[i] = 0.; 1491 ierr = VecSetValues(pcis->vec2_N,nz,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1492 ierr = ISRestoreIndices(zerodiag,&idxs);CHKERRQ(ierr); 1493 ierr = ISGetIndices(pcis->is_B_local,&idxs);CHKERRQ(ierr); 1494 for (i=0;i<pcis->n_B;i++) vals[i] = 0.; 1495 ierr = VecSetValues(pcis->vec2_N,pcis->n_B,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1496 ierr = ISRestoreIndices(pcis->is_B_local,&idxs);CHKERRQ(ierr); 1497 ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr); 1498 if (dirIS) { 1499 PetscInt n; 1500 1501 ierr = ISGetLocalSize(dirIS,&n);CHKERRQ(ierr); 1502 ierr = ISGetIndices(dirIS,&idxs);CHKERRQ(ierr); 1503 for (i=0;i<n;i++) vals[i] = 0.; 1504 ierr = VecSetValues(pcis->vec2_N,n,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1505 ierr = ISRestoreIndices(dirIS,&idxs);CHKERRQ(ierr); 1506 } 1507 ierr = ISDestroy(&dirIS);CHKERRQ(ierr); 1508 ierr = VecAssemblyBegin(pcis->vec2_N);CHKERRQ(ierr); 1509 ierr = VecAssemblyEnd(pcis->vec2_N);CHKERRQ(ierr); 1510 ierr = VecSet(matis->x,0.);CHKERRQ(ierr); 1511 ierr = MatMult(matis->A,pcis->vec1_N,matis->x);CHKERRQ(ierr); 1512 ierr = VecDot(matis->x,pcis->vec2_N,&vals[0]);CHKERRQ(ierr); 1513 ierr = PetscPrintf(PETSC_COMM_SELF,"[%d] check original mat: %1.4e\n",PetscGlobalRank,vals[0]);CHKERRQ(ierr); 1514 ierr = PetscFree(vals);CHKERRQ(ierr); 1515 } 1516 1517 /* check PCBDDCBenignPopOrPush */ 1518 if (pcbddc->dbg_flag && pcbddc->benign_saddle_point) { 1519 PC_IS *pcis = (PC_IS*)(pc->data); 1520 1521 ierr = VecSetRandom(pcis->vec1_global,NULL);CHKERRQ(ierr); 1522 pcbddc->benign_p0 = -PetscGlobalRank; 1523 ierr = PCBDDCBenignPopOrPushP0(pc,pcis->vec1_global,PETSC_FALSE);CHKERRQ(ierr); 1524 pcbddc->benign_p0 = 1; 1525 ierr = PCBDDCBenignPopOrPushP0(pc,pcis->vec1_global,PETSC_TRUE);CHKERRQ(ierr); 1526 if (pcbddc->benign_p0_gidx >=0 && pcbddc->benign_p0 != -PetscGlobalRank) { 1527 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error testing PCBDDCBenignPopOrPushP0! Found %1.4e instead of %1.4e\n",pcbddc->benign_p0,-PetscGlobalRank);CHKERRQ(ierr); 1528 } 1529 } 1530 1531 /* Setup local dirichlet solver ksp_D and sub_schurs solvers */ 1532 if (computesolvers) { 1533 PCBDDCSubSchurs sub_schurs=pcbddc->sub_schurs; 1534 1535 if (computesubschurs && computetopography) { 1536 ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr); 1537 } 1538 if (sub_schurs->use_mumps) { 1539 if (computesubschurs) { 1540 ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr); 1541 } 1542 ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 1543 } else { 1544 ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 1545 if (computesubschurs) { 1546 ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr); 1547 } 1548 } 1549 if (pcbddc->adaptive_selection) { 1550 ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr); 1551 computeconstraintsmatrix = PETSC_TRUE; 1552 } 1553 } 1554 1555 /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */ 1556 new_nearnullspace_provided = PETSC_FALSE; 1557 ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr); 1558 if (pcbddc->onearnullspace) { /* already used nearnullspace */ 1559 if (!nearnullspace) { /* near null space attached to mat has been destroyed */ 1560 new_nearnullspace_provided = PETSC_TRUE; 1561 } else { 1562 /* determine if the two nullspaces are different (should be lightweight) */ 1563 if (nearnullspace != pcbddc->onearnullspace) { 1564 new_nearnullspace_provided = PETSC_TRUE; 1565 } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */ 1566 PetscInt i; 1567 const Vec *nearnullvecs; 1568 PetscObjectState state; 1569 PetscInt nnsp_size; 1570 ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr); 1571 for (i=0;i<nnsp_size;i++) { 1572 ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr); 1573 if (pcbddc->onearnullvecs_state[i] != state) { 1574 new_nearnullspace_provided = PETSC_TRUE; 1575 break; 1576 } 1577 } 1578 } 1579 } 1580 } else { 1581 if (!nearnullspace) { /* both nearnullspaces are null */ 1582 new_nearnullspace_provided = PETSC_FALSE; 1583 } else { /* nearnullspace attached later */ 1584 new_nearnullspace_provided = PETSC_TRUE; 1585 } 1586 } 1587 1588 /* Setup constraints and related work vectors */ 1589 /* reset primal space flags */ 1590 pcbddc->new_primal_space = PETSC_FALSE; 1591 pcbddc->new_primal_space_local = PETSC_FALSE; 1592 if (computeconstraintsmatrix || new_nearnullspace_provided) { 1593 /* It also sets the primal space flags */ 1594 ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr); 1595 /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */ 1596 ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr); 1597 } 1598 1599 if (computesolvers || pcbddc->new_primal_space) { 1600 if (pcbddc->use_change_of_basis) { 1601 PC_IS *pcis = (PC_IS*)(pc->data); 1602 Mat temp_mat = NULL; 1603 1604 if (zerodiag) { 1605 /* insert B0 in pcbddc->local_mat */ 1606 ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr); 1607 if (pcbddc->dbg_flag) { 1608 PC_IS *pcis = (PC_IS*)(pc->data); 1609 IS dirIS = NULL; 1610 PetscScalar *vals; 1611 const PetscInt *idxs; 1612 PetscInt i,nz; 1613 1614 /* p0 */ 1615 ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr); 1616 ierr = PetscMalloc1(pcis->n,&vals);CHKERRQ(ierr); 1617 ierr = ISGetLocalSize(zerodiag,&nz);CHKERRQ(ierr); 1618 ierr = ISGetIndices(zerodiag,&idxs);CHKERRQ(ierr); 1619 vals[0] = 1.; 1620 ierr = VecSetValues(pcis->vec1_N,1,&idxs[nz-1],vals,INSERT_VALUES);CHKERRQ(ierr); 1621 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 1622 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 1623 /* v_I */ 1624 ierr = VecSetRandom(pcis->vec2_N,NULL);CHKERRQ(ierr); 1625 for (i=0;i<nz;i++) vals[i] = 0.; 1626 ierr = VecSetValues(pcis->vec2_N,nz,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1627 ierr = ISRestoreIndices(zerodiag,&idxs);CHKERRQ(ierr); 1628 ierr = ISGetIndices(pcis->is_B_local,&idxs);CHKERRQ(ierr); 1629 for (i=0;i<pcis->n_B;i++) vals[i] = 0.; 1630 ierr = VecSetValues(pcis->vec2_N,pcis->n_B,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1631 ierr = ISRestoreIndices(pcis->is_B_local,&idxs);CHKERRQ(ierr); 1632 ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr); 1633 if (dirIS) { 1634 PetscInt n; 1635 1636 ierr = ISGetLocalSize(dirIS,&n);CHKERRQ(ierr); 1637 ierr = ISGetIndices(dirIS,&idxs);CHKERRQ(ierr); 1638 for (i=0;i<n;i++) vals[i] = 0.; 1639 ierr = VecSetValues(pcis->vec2_N,n,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 1640 ierr = ISRestoreIndices(dirIS,&idxs);CHKERRQ(ierr); 1641 } 1642 ierr = ISDestroy(&dirIS);CHKERRQ(ierr); 1643 ierr = VecAssemblyBegin(pcis->vec2_N);CHKERRQ(ierr); 1644 ierr = VecAssemblyEnd(pcis->vec2_N);CHKERRQ(ierr); 1645 ierr = VecSet(matis->x,0.);CHKERRQ(ierr); 1646 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,matis->x);CHKERRQ(ierr); 1647 ierr = VecDot(matis->x,pcis->vec2_N,&vals[0]);CHKERRQ(ierr); 1648 ierr = PetscPrintf(PETSC_COMM_SELF,"[%d] check new mat: %1.4e\n",PetscGlobalRank,vals[0]);CHKERRQ(ierr); 1649 ierr = PetscFree(vals);CHKERRQ(ierr); 1650 } 1651 /* hack: swap pointers */ 1652 temp_mat = matis->A; 1653 matis->A = pcbddc->local_mat; 1654 pcbddc->local_mat = NULL; 1655 } 1656 ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 1657 if (zerodiag) { 1658 /* restore original matrix */ 1659 ierr = MatDestroy(&matis->A);CHKERRQ(ierr); 1660 matis->A = temp_mat; 1661 /* pop B0 from pcbddc->local_mat */ 1662 ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr); 1663 } 1664 /* get submatrices */ 1665 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 1666 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 1667 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 1668 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr); 1669 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr); 1670 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr); 1671 /* set flag in pcis to not reuse submatrices during PCISCreate */ 1672 pcis->reusesubmatrices = PETSC_FALSE; 1673 } else if (!pcbddc->user_ChangeOfBasisMatrix) { 1674 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 1675 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1676 pcbddc->local_mat = matis->A; 1677 } 1678 /* SetUp coarse and local Neumann solvers */ 1679 ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr); 1680 /* SetUp Scaling operator */ 1681 ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr); 1682 } 1683 1684 /* check BDDC operator */ 1685 if (pcbddc->dbg_flag && ( 1686 (pcbddc->n_vertices == pcbddc->local_primal_size) || pcbddc->benign_saddle_point) ) { 1687 PC_IS *pcis = (PC_IS*)(pc->data); 1688 Mat S_j,B0=NULL,B0_B=NULL; 1689 Vec dummy_vec=NULL,vec_check_B,vec_scale_P; 1690 PetscScalar norm,p0_check,*array,*array2; 1691 PetscInt i; 1692 1693 /* B0 and B0_B */ 1694 if (zerodiag) { 1695 IS dummy; 1696 PetscInt ii[2]; 1697 1698 ii[0] = 0; 1699 ii[1] = pcbddc->B0_ncol; 1700 ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,1,pcis->n,ii,pcbddc->B0_cols,pcbddc->B0_vals,&B0);CHKERRQ(ierr); 1701 ierr = ISCreateStride(PETSC_COMM_SELF,1,0,1,&dummy);CHKERRQ(ierr); 1702 ierr = MatGetSubMatrix(B0,dummy,pcis->is_B_local,MAT_INITIAL_MATRIX,&B0_B);CHKERRQ(ierr); 1703 ierr = MatCreateVecs(B0_B,NULL,&dummy_vec);CHKERRQ(ierr); 1704 ierr = ISDestroy(&dummy);CHKERRQ(ierr); 1705 } 1706 /* I need a primal vector to scale primal nodes since BDDC sums contibutions */ 1707 ierr = VecDuplicate(pcbddc->vec1_P,&vec_scale_P);CHKERRQ(ierr); 1708 ierr = VecSet(pcbddc->vec1_P,1.0);CHKERRQ(ierr); 1709 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1710 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1711 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,vec_scale_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1712 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,vec_scale_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1713 ierr = VecReciprocal(vec_scale_P);CHKERRQ(ierr); 1714 /* S_j */ 1715 ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&S_j);CHKERRQ(ierr); 1716 ierr = MatSchurComplementSetKSP(S_j,pcbddc->ksp_D);CHKERRQ(ierr); 1717 1718 /* mimic vector in \widetilde{W}_\Gamma */ 1719 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 1720 /* continuous in primal space */ 1721 ierr = VecSetRandom(pcbddc->coarse_vec,NULL);CHKERRQ(ierr); 1722 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1723 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1724 ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1725 if (zerodiag) { 1726 p0_check = array[pcbddc->local_primal_size-1]; 1727 } else { 1728 p0_check = 0; 1729 } 1730 ierr = VecSetValues(pcis->vec1_N,pcbddc->local_primal_size,pcbddc->local_primal_ref_node,array,INSERT_VALUES);CHKERRQ(ierr); 1731 ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1732 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 1733 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 1734 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1735 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1736 ierr = VecDuplicate(pcis->vec2_B,&vec_check_B);CHKERRQ(ierr); 1737 ierr = VecCopy(pcis->vec2_B,vec_check_B);CHKERRQ(ierr); 1738 1739 /* assemble rhs for coarse problem */ 1740 /* widetilde{S}_\Gamma w_\Gamma + \widetilde{B0}^T_B p0 */ 1741 /* local with Schur */ 1742 ierr = MatMult(S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 1743 if (zerodiag) { 1744 ierr = VecGetArray(dummy_vec,&array);CHKERRQ(ierr); 1745 array[0] = p0_check; 1746 ierr = VecRestoreArray(dummy_vec,&array);CHKERRQ(ierr); 1747 ierr = MatMultTransposeAdd(B0_B,dummy_vec,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 1748 } 1749 /* sum on primal nodes the local contributions */ 1750 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1751 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1752 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1753 ierr = VecGetArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1754 for (i=0;i<pcbddc->local_primal_size;i++) array2[i] = array[pcbddc->local_primal_ref_node[i]]; 1755 ierr = VecRestoreArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr); 1756 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 1757 ierr = VecSet(pcbddc->coarse_vec,0.);CHKERRQ(ierr); 1758 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1759 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1760 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1761 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1762 ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1763 /* scale primal nodes (BDDC sums contibutions) */ 1764 ierr = VecPointwiseMult(pcbddc->vec1_P,vec_scale_P,pcbddc->vec1_P);CHKERRQ(ierr); 1765 ierr = VecSetValues(pcis->vec1_N,pcbddc->local_primal_size,pcbddc->local_primal_ref_node,array,INSERT_VALUES);CHKERRQ(ierr); 1766 ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr); 1767 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 1768 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 1769 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1770 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1771 /* global: \widetilde{B0}_B w_\Gamma */ 1772 if (zerodiag) { 1773 ierr = MatMult(B0_B,pcis->vec2_B,dummy_vec);CHKERRQ(ierr); 1774 ierr = VecGetArray(dummy_vec,&array);CHKERRQ(ierr); 1775 pcbddc->benign_p0 = array[0]; 1776 ierr = VecRestoreArray(dummy_vec,&array);CHKERRQ(ierr); 1777 } else { 1778 pcbddc->benign_p0 = 0.; 1779 } 1780 /* BDDC */ 1781 ierr = VecSet(pcis->vec1_D,0.);CHKERRQ(ierr); 1782 ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr); 1783 1784 ierr = VecCopy(pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr); 1785 ierr = VecAXPY(pcis->vec1_B,-1.0,vec_check_B);CHKERRQ(ierr); 1786 ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&norm);CHKERRQ(ierr); 1787 PetscPrintf(PETSC_COMM_SELF,"[%d] BDDC local error is %1.4e\n",PetscGlobalRank,norm); 1788 if (pcbddc->benign_p0_lidx >= 0) { 1789 PetscPrintf(PETSC_COMM_SELF,"[%d] BDDC p0 error is %1.4e\n",PetscGlobalRank,PetscAbsScalar(pcbddc->benign_p0-p0_check)); 1790 } 1791 1792 ierr = VecDestroy(&vec_scale_P);CHKERRQ(ierr); 1793 ierr = VecDestroy(&vec_check_B);CHKERRQ(ierr); 1794 ierr = VecDestroy(&dummy_vec);CHKERRQ(ierr); 1795 ierr = MatDestroy(&S_j);CHKERRQ(ierr); 1796 ierr = MatDestroy(&B0);CHKERRQ(ierr); 1797 ierr = MatDestroy(&B0_B);CHKERRQ(ierr); 1798 } 1799 ierr = ISDestroy(&zerodiag);CHKERRQ(ierr); 1800 1801 if (pcbddc->dbg_flag) { 1802 ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 1803 } 1804 PetscFunctionReturn(0); 1805 } 1806 1807 /* -------------------------------------------------------------------------- */ 1808 /* 1809 PCApply_BDDC - Applies the BDDC operator to a vector. 1810 1811 Input Parameters: 1812 + pc - the preconditioner context 1813 - r - input vector (global) 1814 1815 Output Parameter: 1816 . z - output vector (global) 1817 1818 Application Interface Routine: PCApply() 1819 */ 1820 #undef __FUNCT__ 1821 #define __FUNCT__ "PCApply_BDDC" 1822 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z) 1823 { 1824 PC_IS *pcis = (PC_IS*)(pc->data); 1825 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 1826 PetscInt n_B = pcis->n_B, n_D = pcis->n - n_B; 1827 PetscErrorCode ierr; 1828 const PetscScalar one = 1.0; 1829 const PetscScalar m_one = -1.0; 1830 const PetscScalar zero = 0.0; 1831 1832 /* This code is similar to that provided in nn.c for PCNN 1833 NN interface preconditioner changed to BDDC 1834 Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */ 1835 1836 PetscFunctionBegin; 1837 if (pcbddc->benign_saddle_point) { /* extract p0 from r */ 1838 ierr = PCBDDCBenignPopOrPushP0(pc,r,PETSC_TRUE);CHKERRQ(ierr); 1839 } 1840 if (!pcbddc->use_exact_dirichlet_trick) { 1841 ierr = VecCopy(r,z);CHKERRQ(ierr); 1842 /* First Dirichlet solve */ 1843 ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1844 ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1845 /* 1846 Assembling right hand side for BDDC operator 1847 - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE) 1848 - pcis->vec1_B the interface part of the global vector z 1849 */ 1850 if (n_D) { 1851 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1852 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 1853 if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1854 ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr); 1855 } else { 1856 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1857 } 1858 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1859 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1860 ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr); 1861 } else { 1862 if (pcbddc->switch_static) { 1863 ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr); 1864 } 1865 ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr); 1866 } 1867 1868 /* Apply interface preconditioner 1869 input/output vecs: pcis->vec1_B and pcis->vec1_D */ 1870 ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr); 1871 1872 /* Apply transpose of partition of unity operator */ 1873 ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr); 1874 1875 /* Second Dirichlet solve and assembling of output */ 1876 ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1877 ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1878 if (n_B) { 1879 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr); 1880 if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); } 1881 } else if (pcbddc->switch_static) { 1882 ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr); 1883 } 1884 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr); 1885 1886 if (!pcbddc->use_exact_dirichlet_trick) { 1887 if (pcbddc->switch_static) { 1888 ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr); 1889 } else { 1890 ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr); 1891 } 1892 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1893 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1894 } else { 1895 if (pcbddc->switch_static) { 1896 ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr); 1897 } else { 1898 ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr); 1899 } 1900 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1901 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1902 } 1903 1904 if (pcbddc->benign_saddle_point) { /* push p0 (computed in PCBDDCApplyInterface) */ 1905 ierr = PCBDDCBenignPopOrPushP0(pc,z,PETSC_FALSE);CHKERRQ(ierr); 1906 } 1907 PetscFunctionReturn(0); 1908 } 1909 1910 /* -------------------------------------------------------------------------- */ 1911 /* 1912 PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector. 1913 1914 Input Parameters: 1915 + pc - the preconditioner context 1916 - r - input vector (global) 1917 1918 Output Parameter: 1919 . z - output vector (global) 1920 1921 Application Interface Routine: PCApplyTranspose() 1922 */ 1923 #undef __FUNCT__ 1924 #define __FUNCT__ "PCApplyTranspose_BDDC" 1925 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z) 1926 { 1927 PC_IS *pcis = (PC_IS*)(pc->data); 1928 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 1929 PetscInt n_B = pcis->n_B, n_D = pcis->n - n_B; 1930 PetscErrorCode ierr; 1931 const PetscScalar one = 1.0; 1932 const PetscScalar m_one = -1.0; 1933 const PetscScalar zero = 0.0; 1934 1935 PetscFunctionBegin; 1936 if (!pcbddc->use_exact_dirichlet_trick) { 1937 ierr = VecCopy(r,z);CHKERRQ(ierr); 1938 /* First Dirichlet solve */ 1939 ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1940 ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1941 /* 1942 Assembling right hand side for BDDC operator 1943 - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE) 1944 - pcis->vec1_B the interface part of the global vector z 1945 */ 1946 if (n_D) { 1947 ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1948 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 1949 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1950 ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr); 1951 } else { 1952 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1953 } 1954 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1955 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1956 ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr); 1957 } else { 1958 if (pcbddc->switch_static) { 1959 ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr); 1960 } 1961 ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr); 1962 } 1963 1964 /* Apply interface preconditioner 1965 input/output vecs: pcis->vec1_B and pcis->vec1_D */ 1966 ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr); 1967 1968 /* Apply transpose of partition of unity operator */ 1969 ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr); 1970 1971 /* Second Dirichlet solve and assembling of output */ 1972 ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1973 ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1974 if (n_B) { 1975 ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr); 1976 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); } 1977 } else if (pcbddc->switch_static) { 1978 ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr); 1979 } 1980 ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr); 1981 if (!pcbddc->use_exact_dirichlet_trick) { 1982 if (pcbddc->switch_static) { 1983 ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr); 1984 } else { 1985 ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr); 1986 } 1987 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1988 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1989 } else { 1990 if (pcbddc->switch_static) { 1991 ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr); 1992 } else { 1993 ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr); 1994 } 1995 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1996 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1997 } 1998 PetscFunctionReturn(0); 1999 } 2000 /* -------------------------------------------------------------------------- */ 2001 2002 #undef __FUNCT__ 2003 #define __FUNCT__ "PCDestroy_BDDC" 2004 PetscErrorCode PCDestroy_BDDC(PC pc) 2005 { 2006 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2007 PetscErrorCode ierr; 2008 2009 PetscFunctionBegin; 2010 /* free data created by PCIS */ 2011 ierr = PCISDestroy(pc);CHKERRQ(ierr); 2012 /* free BDDC custom data */ 2013 ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr); 2014 /* destroy objects related to topography */ 2015 ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr); 2016 /* free allocated graph structure */ 2017 ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr); 2018 /* free allocated sub schurs structure */ 2019 ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr); 2020 /* destroy objects for scaling operator */ 2021 ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr); 2022 ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr); 2023 /* free solvers stuff */ 2024 ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr); 2025 /* free global vectors needed in presolve */ 2026 ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr); 2027 ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr); 2028 /* free stuff for change of basis hooks */ 2029 if (pcbddc->new_global_mat) { 2030 PCBDDCChange_ctx change_ctx; 2031 ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr); 2032 ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr); 2033 ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr); 2034 ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr); 2035 ierr = PetscFree(change_ctx);CHKERRQ(ierr); 2036 } 2037 ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr); 2038 /* remove functions */ 2039 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr); 2040 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr); 2041 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr); 2042 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr); 2043 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr); 2044 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr); 2045 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr); 2046 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 2047 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr); 2048 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 2049 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr); 2050 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 2051 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr); 2052 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 2053 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr); 2054 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr); 2055 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr); 2056 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr); 2057 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr); 2058 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr); 2059 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr); 2060 /* Free the private data structure */ 2061 ierr = PetscFree(pc->data);CHKERRQ(ierr); 2062 PetscFunctionReturn(0); 2063 } 2064 /* -------------------------------------------------------------------------- */ 2065 2066 #undef __FUNCT__ 2067 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC" 2068 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 2069 { 2070 FETIDPMat_ctx mat_ctx; 2071 Vec copy_standard_rhs; 2072 PC_IS* pcis; 2073 PC_BDDC* pcbddc; 2074 PetscErrorCode ierr; 2075 2076 PetscFunctionBegin; 2077 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2078 pcis = (PC_IS*)mat_ctx->pc->data; 2079 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 2080 2081 /* 2082 change of basis for physical rhs if needed 2083 It also changes the rhs in case of dirichlet boundaries 2084 TODO: better management when FETIDP will have its own class 2085 */ 2086 ierr = VecDuplicate(standard_rhs,©_standard_rhs);CHKERRQ(ierr); 2087 ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr); 2088 ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr); 2089 /* store vectors for computation of fetidp final solution */ 2090 ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2091 ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2092 /* scale rhs since it should be unassembled */ 2093 /* TODO use counter scaling? (also below) */ 2094 ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2095 ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2096 /* Apply partition of unity */ 2097 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2098 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 2099 if (!pcbddc->switch_static) { 2100 /* compute partially subassembled Schur complement right-hand side */ 2101 ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2102 ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr); 2103 ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr); 2104 ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr); 2105 ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2106 ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2107 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 2108 ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2109 ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2110 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2111 } 2112 ierr = VecDestroy(©_standard_rhs);CHKERRQ(ierr); 2113 /* BDDC rhs */ 2114 ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr); 2115 if (pcbddc->switch_static) { 2116 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2117 } 2118 /* apply BDDC */ 2119 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 2120 /* Application of B_delta and assembling of rhs for fetidp fluxes */ 2121 ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr); 2122 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 2123 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2124 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2125 PetscFunctionReturn(0); 2126 } 2127 2128 #undef __FUNCT__ 2129 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS" 2130 /*@ 2131 PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side 2132 2133 Collective 2134 2135 Input Parameters: 2136 + fetidp_mat - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators 2137 - standard_rhs - the right-hand side of the original linear system 2138 2139 Output Parameters: 2140 . fetidp_flux_rhs - the right-hand side for the FETI-DP linear system 2141 2142 Level: developer 2143 2144 Notes: 2145 2146 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution 2147 @*/ 2148 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 2149 { 2150 FETIDPMat_ctx mat_ctx; 2151 PetscErrorCode ierr; 2152 2153 PetscFunctionBegin; 2154 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2155 ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr); 2156 PetscFunctionReturn(0); 2157 } 2158 /* -------------------------------------------------------------------------- */ 2159 2160 #undef __FUNCT__ 2161 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC" 2162 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 2163 { 2164 FETIDPMat_ctx mat_ctx; 2165 PC_IS* pcis; 2166 PC_BDDC* pcbddc; 2167 PetscErrorCode ierr; 2168 2169 PetscFunctionBegin; 2170 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2171 pcis = (PC_IS*)mat_ctx->pc->data; 2172 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 2173 2174 /* apply B_delta^T */ 2175 ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2176 ierr = VecScatterEnd (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2177 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 2178 /* compute rhs for BDDC application */ 2179 ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2180 if (pcbddc->switch_static) { 2181 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2182 } 2183 /* apply BDDC */ 2184 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 2185 /* put values into standard global vector */ 2186 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2187 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2188 if (!pcbddc->switch_static) { 2189 /* compute values into the interior if solved for the partially subassembled Schur complement */ 2190 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr); 2191 ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr); 2192 ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2193 } 2194 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2195 ierr = VecScatterEnd (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2196 /* final change of basis if needed 2197 Is also sums the dirichlet part removed during RHS assembling */ 2198 ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr); 2199 PetscFunctionReturn(0); 2200 } 2201 2202 #undef __FUNCT__ 2203 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution" 2204 /*@ 2205 PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system 2206 2207 Collective 2208 2209 Input Parameters: 2210 + fetidp_mat - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators 2211 - fetidp_flux_sol - the solution of the FETI-DP linear system 2212 2213 Output Parameters: 2214 . standard_sol - the solution defined on the physical domain 2215 2216 Level: developer 2217 2218 Notes: 2219 2220 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS 2221 @*/ 2222 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 2223 { 2224 FETIDPMat_ctx mat_ctx; 2225 PetscErrorCode ierr; 2226 2227 PetscFunctionBegin; 2228 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2229 ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr); 2230 PetscFunctionReturn(0); 2231 } 2232 /* -------------------------------------------------------------------------- */ 2233 2234 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec); 2235 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec); 2236 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat); 2237 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec); 2238 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec); 2239 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC); 2240 2241 #undef __FUNCT__ 2242 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC" 2243 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc) 2244 { 2245 2246 FETIDPMat_ctx fetidpmat_ctx; 2247 Mat newmat; 2248 FETIDPPC_ctx fetidppc_ctx; 2249 PC newpc; 2250 MPI_Comm comm; 2251 PetscErrorCode ierr; 2252 2253 PetscFunctionBegin; 2254 ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr); 2255 /* FETIDP linear matrix */ 2256 ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr); 2257 ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr); 2258 ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr); 2259 ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr); 2260 ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr); 2261 ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr); 2262 ierr = MatSetUp(newmat);CHKERRQ(ierr); 2263 /* FETIDP preconditioner */ 2264 ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr); 2265 ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr); 2266 ierr = PCCreate(comm,&newpc);CHKERRQ(ierr); 2267 ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr); 2268 ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr); 2269 ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr); 2270 ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr); 2271 ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr); 2272 ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr); 2273 ierr = PCSetUp(newpc);CHKERRQ(ierr); 2274 /* return pointers for objects created */ 2275 *fetidp_mat=newmat; 2276 *fetidp_pc=newpc; 2277 PetscFunctionReturn(0); 2278 } 2279 2280 #undef __FUNCT__ 2281 #define __FUNCT__ "PCBDDCCreateFETIDPOperators" 2282 /*@ 2283 PCBDDCCreateFETIDPOperators - Create FETI-DP operators 2284 2285 Collective 2286 2287 Input Parameters: 2288 . pc - the BDDC preconditioning context (setup should have been called before) 2289 2290 Output Parameters: 2291 + fetidp_mat - shell FETI-DP matrix object 2292 - fetidp_pc - shell Dirichlet preconditioner for FETI-DP matrix 2293 2294 Options Database Keys: 2295 . -fetidp_fullyredundant <false> - use or not a fully redundant set of Lagrange multipliers 2296 2297 Level: developer 2298 2299 Notes: 2300 Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose 2301 2302 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution 2303 @*/ 2304 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc) 2305 { 2306 PetscErrorCode ierr; 2307 2308 PetscFunctionBegin; 2309 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 2310 if (pc->setupcalled) { 2311 ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr); 2312 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n"); 2313 PetscFunctionReturn(0); 2314 } 2315 /* -------------------------------------------------------------------------- */ 2316 /*MC 2317 PCBDDC - Balancing Domain Decomposition by Constraints. 2318 2319 An implementation of the BDDC preconditioner based on 2320 2321 .vb 2322 [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007 2323 [2] A. Klawonn and O. B. Widlund. "Dual-Primal FETI Methods for Linear Elasticity", http://cs.nyu.edu/csweb/Research/TechReports/TR2004-855/TR2004-855.pdf 2324 [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977 2325 [4] C. Pechstein and C. R. Dohrmann. "Modern domain decomposition methods BDDC, deluxe scaling, and an algebraic approach", Seminar talk, Linz, December 2013, http://people.ricam.oeaw.ac.at/c.pechstein/pechstein-bddc2013.pdf 2326 .ve 2327 2328 The matrix to be preconditioned (Pmat) must be of type MATIS. 2329 2330 Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers. 2331 2332 It also works with unsymmetric and indefinite problems. 2333 2334 Unlike 'conventional' interface preconditioners, PCBDDC iterates over all degrees of freedom, not just those on the interface. This allows the use of approximate solvers on the subdomains. 2335 2336 Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace() 2337 2338 Boundary nodes are split in vertices, edges and faces classes using information from the local to global mapping of dofs and the local connectivity graph of nodes. The latter can be customized by using PCBDDCSetLocalAdjacencyGraph() 2339 Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesLocalIS() 2340 2341 Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD. 2342 2343 Change of basis is performed similarly to [2] when requested. When more than one constraint is present on a single connected component (i.e. an edge or a face), a robust method based on local QR factorizations is used. 2344 User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat() 2345 2346 The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object. 2347 2348 Adaptive selection of primal constraints [4] is supported for SPD systems with high-contrast in the coefficients if MUMPS is present. Future versions of the code will also consider using MKL_PARDISO or PASTIX. 2349 2350 An experimental interface to the FETI-DP method is available. FETI-DP operators could be created using PCBDDCCreateFETIDPOperators(). A stand-alone class for the FETI-DP method will be provided in the next releases. 2351 Deluxe scaling is not supported yet for FETI-DP. 2352 2353 Options Database Keys (some of them, run with -h for a complete list): 2354 2355 . -pc_bddc_use_vertices <true> - use or not vertices in primal space 2356 . -pc_bddc_use_edges <true> - use or not edges in primal space 2357 . -pc_bddc_use_faces <false> - use or not faces in primal space 2358 . -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems 2359 . -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only) 2360 . -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested 2361 . -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1]) 2362 . -pc_bddc_levels <0> - maximum number of levels for multilevel 2363 . -pc_bddc_coarsening_ratio <8> - number of subdomains which will be aggregated together at the coarser level (e.g. H/h ratio at the coarser level, significative only in the multilevel case) 2364 . -pc_bddc_redistribute <0> - size of a subset of processors where the coarse problem will be remapped (the value is ignored if not at the coarsest level) 2365 . -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling 2366 . -pc_bddc_schur_layers <-1> - select the economic version of deluxe scaling by specifying the number of layers (-1 corresponds to the original deluxe scaling) 2367 . -pc_bddc_adaptive_threshold <0.0> - when a value greater than one is specified, adaptive selection of constraints is performed on edges and faces (requires deluxe scaling and MUMPS installed) 2368 - -pc_bddc_check_level <0> - set verbosity level of debugging output 2369 2370 Options for Dirichlet, Neumann or coarse solver can be set with 2371 .vb 2372 -pc_bddc_dirichlet_ 2373 -pc_bddc_neumann_ 2374 -pc_bddc_coarse_ 2375 .ve 2376 e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU. 2377 2378 When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as 2379 .vb 2380 -pc_bddc_dirichlet_lN_ 2381 -pc_bddc_neumann_lN_ 2382 -pc_bddc_coarse_lN_ 2383 .ve 2384 Note that level number ranges from the finest (0) to the coarsest (N). 2385 In order to specify options for the BDDC operators at the coarser levels (and not for the solvers), prepend -pc_bddc_coarse_ or -pc_bddc_coarse_l to the option, e.g. 2386 .vb 2387 -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3 2388 .ve 2389 will use a threshold of 5 for constraints' selection at the first coarse level and will redistribute the coarse problem of the first coarse level on 3 processors 2390 2391 Level: intermediate 2392 2393 Developer notes: 2394 2395 Contributed by Stefano Zampini 2396 2397 .seealso: PCCreate(), PCSetType(), PCType (for list of available types), PC, MATIS 2398 M*/ 2399 2400 #undef __FUNCT__ 2401 #define __FUNCT__ "PCCreate_BDDC" 2402 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc) 2403 { 2404 PetscErrorCode ierr; 2405 PC_BDDC *pcbddc; 2406 2407 PetscFunctionBegin; 2408 /* Creates the private data structure for this preconditioner and attach it to the PC object. */ 2409 ierr = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr); 2410 pc->data = (void*)pcbddc; 2411 2412 /* create PCIS data structure */ 2413 ierr = PCISCreate(pc);CHKERRQ(ierr); 2414 2415 /* BDDC customization */ 2416 pcbddc->use_local_adj = PETSC_TRUE; 2417 pcbddc->use_vertices = PETSC_TRUE; 2418 pcbddc->use_edges = PETSC_TRUE; 2419 pcbddc->use_faces = PETSC_FALSE; 2420 pcbddc->use_change_of_basis = PETSC_FALSE; 2421 pcbddc->use_change_on_faces = PETSC_FALSE; 2422 pcbddc->switch_static = PETSC_FALSE; 2423 pcbddc->use_nnsp_true = PETSC_FALSE; 2424 pcbddc->use_qr_single = PETSC_FALSE; 2425 pcbddc->symmetric_primal = PETSC_TRUE; 2426 pcbddc->benign_saddle_point = PETSC_FALSE; 2427 pcbddc->dbg_flag = 0; 2428 /* private */ 2429 pcbddc->local_primal_size = 0; 2430 pcbddc->local_primal_size_cc = 0; 2431 pcbddc->local_primal_ref_node = 0; 2432 pcbddc->local_primal_ref_mult = 0; 2433 pcbddc->n_vertices = 0; 2434 pcbddc->primal_indices_local_idxs = 0; 2435 pcbddc->recompute_topography = PETSC_FALSE; 2436 pcbddc->coarse_size = -1; 2437 pcbddc->new_primal_space = PETSC_FALSE; 2438 pcbddc->new_primal_space_local = PETSC_FALSE; 2439 pcbddc->global_primal_indices = 0; 2440 pcbddc->onearnullspace = 0; 2441 pcbddc->onearnullvecs_state = 0; 2442 pcbddc->user_primal_vertices = 0; 2443 pcbddc->NullSpace = 0; 2444 pcbddc->temp_solution = 0; 2445 pcbddc->original_rhs = 0; 2446 pcbddc->local_mat = 0; 2447 pcbddc->ChangeOfBasisMatrix = 0; 2448 pcbddc->user_ChangeOfBasisMatrix = 0; 2449 pcbddc->new_global_mat = 0; 2450 pcbddc->coarse_vec = 0; 2451 pcbddc->coarse_ksp = 0; 2452 pcbddc->coarse_phi_B = 0; 2453 pcbddc->coarse_phi_D = 0; 2454 pcbddc->coarse_psi_B = 0; 2455 pcbddc->coarse_psi_D = 0; 2456 pcbddc->vec1_P = 0; 2457 pcbddc->vec1_R = 0; 2458 pcbddc->vec2_R = 0; 2459 pcbddc->local_auxmat1 = 0; 2460 pcbddc->local_auxmat2 = 0; 2461 pcbddc->R_to_B = 0; 2462 pcbddc->R_to_D = 0; 2463 pcbddc->ksp_D = 0; 2464 pcbddc->ksp_R = 0; 2465 pcbddc->NeumannBoundaries = 0; 2466 pcbddc->NeumannBoundariesLocal = 0; 2467 pcbddc->DirichletBoundaries = 0; 2468 pcbddc->DirichletBoundariesLocal = 0; 2469 pcbddc->user_provided_isfordofs = PETSC_FALSE; 2470 pcbddc->n_ISForDofs = 0; 2471 pcbddc->n_ISForDofsLocal = 0; 2472 pcbddc->ISForDofs = 0; 2473 pcbddc->ISForDofsLocal = 0; 2474 pcbddc->ConstraintMatrix = 0; 2475 pcbddc->use_exact_dirichlet_trick = PETSC_TRUE; 2476 pcbddc->coarse_loc_to_glob = 0; 2477 pcbddc->coarsening_ratio = 8; 2478 pcbddc->coarse_adj_red = 0; 2479 pcbddc->current_level = 0; 2480 pcbddc->max_levels = 0; 2481 pcbddc->use_coarse_estimates = PETSC_FALSE; 2482 pcbddc->redistribute_coarse = 0; 2483 pcbddc->coarse_subassembling = 0; 2484 pcbddc->coarse_subassembling_init = 0; 2485 2486 /* benign subspace trick */ 2487 pcbddc->B0_ncol = 0; 2488 pcbddc->B0_cols = NULL; 2489 pcbddc->B0_vals = NULL; 2490 pcbddc->benign_change = 0; 2491 pcbddc->benign_vec = 0; 2492 pcbddc->benign_original_mat = 0; 2493 pcbddc->benign_sf = 0; 2494 2495 /* create local graph structure */ 2496 ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr); 2497 2498 /* scaling */ 2499 pcbddc->work_scaling = 0; 2500 pcbddc->use_deluxe_scaling = PETSC_FALSE; 2501 pcbddc->faster_deluxe = PETSC_FALSE; 2502 2503 /* create sub schurs structure */ 2504 ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr); 2505 pcbddc->sub_schurs_rebuild = PETSC_FALSE; 2506 pcbddc->sub_schurs_layers = -1; 2507 pcbddc->sub_schurs_use_useradj = PETSC_FALSE; 2508 2509 pcbddc->computed_rowadj = PETSC_FALSE; 2510 2511 /* adaptivity */ 2512 pcbddc->adaptive_threshold = 0.0; 2513 pcbddc->adaptive_nmax = 0; 2514 pcbddc->adaptive_nmin = 0; 2515 2516 /* function pointers */ 2517 pc->ops->apply = PCApply_BDDC; 2518 pc->ops->applytranspose = PCApplyTranspose_BDDC; 2519 pc->ops->setup = PCSetUp_BDDC; 2520 pc->ops->destroy = PCDestroy_BDDC; 2521 pc->ops->setfromoptions = PCSetFromOptions_BDDC; 2522 pc->ops->view = 0; 2523 pc->ops->applyrichardson = 0; 2524 pc->ops->applysymmetricleft = 0; 2525 pc->ops->applysymmetricright = 0; 2526 pc->ops->presolve = PCPreSolve_BDDC; 2527 pc->ops->postsolve = PCPostSolve_BDDC; 2528 2529 /* composing function */ 2530 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr); 2531 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr); 2532 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr); 2533 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr); 2534 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr); 2535 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr); 2536 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr); 2537 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr); 2538 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr); 2539 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr); 2540 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr); 2541 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr); 2542 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr); 2543 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr); 2544 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr); 2545 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr); 2546 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr); 2547 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr); 2548 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr); 2549 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr); 2550 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr); 2551 PetscFunctionReturn(0); 2552 } 2553 2554