1 2 #include <../src/ksp/pc/impls/is/pcis.h> /*I "petscpc.h" I*/ 3 4 static PetscErrorCode PCISSetUseStiffnessScaling_IS(PC pc, PetscBool use) 5 { 6 PC_IS *pcis = (PC_IS*)pc->data; 7 8 PetscFunctionBegin; 9 pcis->use_stiffness_scaling = use; 10 PetscFunctionReturn(0); 11 } 12 13 /*@ 14 PCISSetUseStiffnessScaling - Tells PCIS to construct partition of unity using 15 local matrices' diagonal. 16 17 Not collective 18 19 Input Parameters: 20 + pc - the preconditioning context 21 - use - whether or not pcis use matrix diagonal to build partition of unity. 22 23 Level: intermediate 24 25 Notes: 26 27 .seealso: PCBDDC 28 @*/ 29 PetscErrorCode PCISSetUseStiffnessScaling(PC pc, PetscBool use) 30 { 31 PetscErrorCode ierr; 32 33 PetscFunctionBegin; 34 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 35 ierr = PetscTryMethod(pc,"PCISSetUseStiffnessScaling_C",(PC,PetscBool),(pc,use));CHKERRQ(ierr); 36 PetscFunctionReturn(0); 37 } 38 39 static PetscErrorCode PCISSetSubdomainDiagonalScaling_IS(PC pc, Vec scaling_factors) 40 { 41 PetscErrorCode ierr; 42 PC_IS *pcis = (PC_IS*)pc->data; 43 44 PetscFunctionBegin; 45 ierr = PetscObjectReference((PetscObject)scaling_factors);CHKERRQ(ierr); 46 ierr = VecDestroy(&pcis->D);CHKERRQ(ierr); 47 pcis->D = scaling_factors; 48 PetscFunctionReturn(0); 49 } 50 51 /*@ 52 PCISSetSubdomainDiagonalScaling - Set diagonal scaling for PCIS. 53 54 Not collective 55 56 Input Parameters: 57 + pc - the preconditioning context 58 - scaling_factors - scaling factors for the subdomain 59 60 Level: intermediate 61 62 Notes: 63 Intended to use with jumping coefficients cases. 64 65 .seealso: PCBDDC 66 @*/ 67 PetscErrorCode PCISSetSubdomainDiagonalScaling(PC pc, Vec scaling_factors) 68 { 69 PetscErrorCode ierr; 70 71 PetscFunctionBegin; 72 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 73 ierr = PetscTryMethod(pc,"PCISSetSubdomainDiagonalScaling_C",(PC,Vec),(pc,scaling_factors));CHKERRQ(ierr); 74 PetscFunctionReturn(0); 75 } 76 77 static PetscErrorCode PCISSetSubdomainScalingFactor_IS(PC pc, PetscScalar scal) 78 { 79 PC_IS *pcis = (PC_IS*)pc->data; 80 81 PetscFunctionBegin; 82 pcis->scaling_factor = scal; 83 PetscFunctionReturn(0); 84 } 85 86 /*@ 87 PCISSetSubdomainScalingFactor - Set scaling factor for PCIS. 88 89 Not collective 90 91 Input Parameters: 92 + pc - the preconditioning context 93 - scal - scaling factor for the subdomain 94 95 Level: intermediate 96 97 Notes: 98 Intended to use with jumping coefficients cases. 99 100 .seealso: PCBDDC 101 @*/ 102 PetscErrorCode PCISSetSubdomainScalingFactor(PC pc, PetscScalar scal) 103 { 104 PetscErrorCode ierr; 105 106 PetscFunctionBegin; 107 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 108 ierr = PetscTryMethod(pc,"PCISSetSubdomainScalingFactor_C",(PC,PetscScalar),(pc,scal));CHKERRQ(ierr); 109 PetscFunctionReturn(0); 110 } 111 112 113 /* -------------------------------------------------------------------------- */ 114 /* 115 PCISSetUp - 116 */ 117 PetscErrorCode PCISSetUp(PC pc, PetscBool computesolvers) 118 { 119 PC_IS *pcis = (PC_IS*)(pc->data); 120 Mat_IS *matis; 121 MatReuse reuse; 122 PetscErrorCode ierr; 123 PetscBool flg,issbaij; 124 Vec counter; 125 126 PetscFunctionBegin; 127 ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&flg);CHKERRQ(ierr); 128 if (!flg) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"Preconditioner type of Neumann Neumman requires matrix of type MATIS"); 129 matis = (Mat_IS*)pc->pmat->data; 130 131 /* first time creation, get info on substructuring */ 132 if (!pc->setupcalled) { 133 PetscInt n_I; 134 PetscInt *idx_I_local,*idx_B_local,*idx_I_global,*idx_B_global; 135 PetscBT bt; 136 PetscInt i,j; 137 138 /* get info on mapping */ 139 ierr = PetscObjectReference((PetscObject)pc->pmat->rmap->mapping);CHKERRQ(ierr); 140 ierr = ISLocalToGlobalMappingDestroy(&pcis->mapping);CHKERRQ(ierr); 141 pcis->mapping = pc->pmat->rmap->mapping; 142 ierr = ISLocalToGlobalMappingGetSize(pcis->mapping,&pcis->n);CHKERRQ(ierr); 143 ierr = ISLocalToGlobalMappingGetInfo(pcis->mapping,&(pcis->n_neigh),&(pcis->neigh),&(pcis->n_shared),&(pcis->shared));CHKERRQ(ierr); 144 145 /* Identifying interior and interface nodes, in local numbering */ 146 ierr = PetscBTCreate(pcis->n,&bt);CHKERRQ(ierr); 147 for (i=0;i<pcis->n_neigh;i++) 148 for (j=0;j<pcis->n_shared[i];j++) { 149 ierr = PetscBTSet(bt,pcis->shared[i][j]);CHKERRQ(ierr); 150 } 151 152 /* Creating local and global index sets for interior and inteface nodes. */ 153 ierr = PetscMalloc1(pcis->n,&idx_I_local);CHKERRQ(ierr); 154 ierr = PetscMalloc1(pcis->n,&idx_B_local);CHKERRQ(ierr); 155 for (i=0, pcis->n_B=0, n_I=0; i<pcis->n; i++) { 156 if (!PetscBTLookup(bt,i)) { 157 idx_I_local[n_I] = i; 158 n_I++; 159 } else { 160 idx_B_local[pcis->n_B] = i; 161 pcis->n_B++; 162 } 163 } 164 165 /* Getting the global numbering */ 166 idx_B_global = idx_I_local + n_I; /* Just avoiding allocating extra memory, since we have vacant space */ 167 idx_I_global = idx_B_local + pcis->n_B; 168 ierr = ISLocalToGlobalMappingApply(pcis->mapping,pcis->n_B,idx_B_local,idx_B_global);CHKERRQ(ierr); 169 ierr = ISLocalToGlobalMappingApply(pcis->mapping,n_I,idx_I_local,idx_I_global);CHKERRQ(ierr); 170 171 /* Creating the index sets */ 172 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n_B,idx_B_local,PETSC_COPY_VALUES, &pcis->is_B_local);CHKERRQ(ierr); 173 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n_B,idx_B_global,PETSC_COPY_VALUES,&pcis->is_B_global);CHKERRQ(ierr); 174 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_I,idx_I_local,PETSC_COPY_VALUES, &pcis->is_I_local);CHKERRQ(ierr); 175 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_I,idx_I_global,PETSC_COPY_VALUES,&pcis->is_I_global);CHKERRQ(ierr); 176 177 /* Freeing memory */ 178 ierr = PetscFree(idx_B_local);CHKERRQ(ierr); 179 ierr = PetscFree(idx_I_local);CHKERRQ(ierr); 180 ierr = PetscBTDestroy(&bt);CHKERRQ(ierr); 181 182 /* Creating work vectors and arrays */ 183 ierr = VecDuplicate(matis->x,&pcis->vec1_N);CHKERRQ(ierr); 184 ierr = VecDuplicate(pcis->vec1_N,&pcis->vec2_N);CHKERRQ(ierr); 185 ierr = VecCreateSeq(PETSC_COMM_SELF,pcis->n-pcis->n_B,&pcis->vec1_D);CHKERRQ(ierr); 186 ierr = VecDuplicate(pcis->vec1_D,&pcis->vec2_D);CHKERRQ(ierr); 187 ierr = VecDuplicate(pcis->vec1_D,&pcis->vec3_D);CHKERRQ(ierr); 188 ierr = VecDuplicate(pcis->vec1_D,&pcis->vec4_D);CHKERRQ(ierr); 189 ierr = VecCreateSeq(PETSC_COMM_SELF,pcis->n_B,&pcis->vec1_B);CHKERRQ(ierr); 190 ierr = VecDuplicate(pcis->vec1_B,&pcis->vec2_B);CHKERRQ(ierr); 191 ierr = VecDuplicate(pcis->vec1_B,&pcis->vec3_B);CHKERRQ(ierr); 192 ierr = MatCreateVecs(pc->pmat,&pcis->vec1_global,0);CHKERRQ(ierr); 193 ierr = PetscMalloc1(pcis->n,&pcis->work_N);CHKERRQ(ierr); 194 /* scaling vector */ 195 if (!pcis->D) { /* it can happen that the user passed in a scaling vector via PCISSetSubdomainDiagonalScaling */ 196 ierr = VecDuplicate(pcis->vec1_B,&pcis->D);CHKERRQ(ierr); 197 ierr = VecSet(pcis->D,pcis->scaling_factor);CHKERRQ(ierr); 198 } 199 200 /* Creating the scatter contexts */ 201 ierr = VecScatterCreate(pcis->vec1_N,pcis->is_I_local,pcis->vec1_D,(IS)0,&pcis->N_to_D);CHKERRQ(ierr); 202 ierr = VecScatterCreate(pcis->vec1_global,pcis->is_I_global,pcis->vec1_D,(IS)0,&pcis->global_to_D);CHKERRQ(ierr); 203 ierr = VecScatterCreate(pcis->vec1_N,pcis->is_B_local,pcis->vec1_B,(IS)0,&pcis->N_to_B);CHKERRQ(ierr); 204 ierr = VecScatterCreate(pcis->vec1_global,pcis->is_B_global,pcis->vec1_B,(IS)0,&pcis->global_to_B);CHKERRQ(ierr); 205 206 /* map from boundary to local */ 207 ierr = ISLocalToGlobalMappingCreateIS(pcis->is_B_local,&pcis->BtoNmap);CHKERRQ(ierr); 208 } 209 210 /* 211 Extracting the blocks A_II, A_BI, A_IB and A_BB from A. If the numbering 212 is such that interior nodes come first than the interface ones, we have 213 214 [ A_II | A_IB ] 215 A = [------+------] 216 [ A_BI | A_BB ] 217 */ 218 reuse = MAT_INITIAL_MATRIX; 219 if (pcis->reusesubmatrices && pc->setupcalled) { 220 if (pc->flag == SAME_NONZERO_PATTERN) { 221 reuse = MAT_REUSE_MATRIX; 222 } else { 223 reuse = MAT_INITIAL_MATRIX; 224 } 225 } 226 if (reuse == MAT_INITIAL_MATRIX) { 227 ierr = MatDestroy(&pcis->A_II);CHKERRQ(ierr); 228 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 229 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 230 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 231 } 232 233 ierr = MatCreateSubMatrix(matis->A,pcis->is_I_local,pcis->is_I_local,reuse,&pcis->A_II);CHKERRQ(ierr); 234 ierr = MatCreateSubMatrix(matis->A,pcis->is_B_local,pcis->is_B_local,reuse,&pcis->A_BB);CHKERRQ(ierr); 235 ierr = PetscObjectTypeCompare((PetscObject)matis->A,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 236 if (!issbaij) { 237 ierr = MatCreateSubMatrix(matis->A,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 238 ierr = MatCreateSubMatrix(matis->A,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 239 } else { 240 Mat newmat; 241 ierr = MatConvert(matis->A,MATSEQBAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 242 ierr = MatCreateSubMatrix(newmat,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 243 ierr = MatCreateSubMatrix(newmat,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 244 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 245 } 246 247 /* Creating scaling vector D */ 248 ierr = PetscOptionsGetBool(((PetscObject)pc)->options,((PetscObject)pc)->prefix,"-pc_is_use_stiffness_scaling",&pcis->use_stiffness_scaling,NULL);CHKERRQ(ierr); 249 if (pcis->use_stiffness_scaling) { 250 PetscScalar *a; 251 PetscInt i,n; 252 253 ierr = MatGetDiagonal(pcis->A_BB,pcis->D);CHKERRQ(ierr); 254 ierr = VecGetLocalSize(pcis->D,&n);CHKERRQ(ierr); 255 ierr = VecGetArray(pcis->D,&a);CHKERRQ(ierr); 256 for (i=0;i<n;i++) if (PetscAbsScalar(a[i])<PETSC_SMALL) a[i] = 1.0; 257 ierr = VecRestoreArray(pcis->D,&a);CHKERRQ(ierr); 258 } 259 ierr = MatCreateVecs(pc->pmat,&counter,0);CHKERRQ(ierr); /* temporary auxiliar vector */ 260 ierr = VecSet(counter,0.0);CHKERRQ(ierr); 261 ierr = VecScatterBegin(pcis->global_to_B,pcis->D,counter,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 262 ierr = VecScatterEnd(pcis->global_to_B,pcis->D,counter,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 263 ierr = VecScatterBegin(pcis->global_to_B,counter,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 264 ierr = VecScatterEnd(pcis->global_to_B,counter,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 265 ierr = VecPointwiseDivide(pcis->D,pcis->D,pcis->vec1_B);CHKERRQ(ierr); 266 ierr = VecDestroy(&counter);CHKERRQ(ierr); 267 268 /* See historical note 01, at the bottom of this file. */ 269 270 /* Creating the KSP contexts for the local Dirichlet and Neumann problems */ 271 if (computesolvers) { 272 PC pc_ctx; 273 274 pcis->pure_neumann = matis->pure_neumann; 275 /* Dirichlet */ 276 ierr = KSPCreate(PETSC_COMM_SELF,&pcis->ksp_D);CHKERRQ(ierr); 277 ierr = KSPSetErrorIfNotConverged(pcis->ksp_D,pc->erroriffailure);CHKERRQ(ierr); 278 ierr = PetscObjectIncrementTabLevel((PetscObject)pcis->ksp_D,(PetscObject)pc,1);CHKERRQ(ierr); 279 ierr = KSPSetOperators(pcis->ksp_D,pcis->A_II,pcis->A_II);CHKERRQ(ierr); 280 ierr = KSPSetOptionsPrefix(pcis->ksp_D,"is_localD_");CHKERRQ(ierr); 281 ierr = KSPGetPC(pcis->ksp_D,&pc_ctx);CHKERRQ(ierr); 282 ierr = PCSetType(pc_ctx,PCLU);CHKERRQ(ierr); 283 ierr = KSPSetType(pcis->ksp_D,KSPPREONLY);CHKERRQ(ierr); 284 ierr = KSPSetFromOptions(pcis->ksp_D);CHKERRQ(ierr); 285 /* the vectors in the following line are dummy arguments, just telling the KSP the vector size. Values are not used */ 286 ierr = KSPSetUp(pcis->ksp_D);CHKERRQ(ierr); 287 /* Neumann */ 288 ierr = KSPCreate(PETSC_COMM_SELF,&pcis->ksp_N);CHKERRQ(ierr); 289 ierr = KSPSetErrorIfNotConverged(pcis->ksp_N,pc->erroriffailure);CHKERRQ(ierr); 290 ierr = PetscObjectIncrementTabLevel((PetscObject)pcis->ksp_N,(PetscObject)pc,1);CHKERRQ(ierr); 291 ierr = KSPSetOperators(pcis->ksp_N,matis->A,matis->A);CHKERRQ(ierr); 292 ierr = KSPSetOptionsPrefix(pcis->ksp_N,"is_localN_");CHKERRQ(ierr); 293 ierr = KSPGetPC(pcis->ksp_N,&pc_ctx);CHKERRQ(ierr); 294 ierr = PCSetType(pc_ctx,PCLU);CHKERRQ(ierr); 295 ierr = KSPSetType(pcis->ksp_N,KSPPREONLY);CHKERRQ(ierr); 296 ierr = KSPSetFromOptions(pcis->ksp_N);CHKERRQ(ierr); 297 { 298 PetscBool damp_fixed = PETSC_FALSE, 299 remove_nullspace_fixed = PETSC_FALSE, 300 set_damping_factor_floating = PETSC_FALSE, 301 not_damp_floating = PETSC_FALSE, 302 not_remove_nullspace_floating = PETSC_FALSE; 303 PetscReal fixed_factor, 304 floating_factor; 305 306 ierr = PetscOptionsGetReal(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_damp_fixed",&fixed_factor,&damp_fixed);CHKERRQ(ierr); 307 if (!damp_fixed) fixed_factor = 0.0; 308 ierr = PetscOptionsGetBool(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_damp_fixed",&damp_fixed,NULL);CHKERRQ(ierr); 309 310 ierr = PetscOptionsGetBool(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_remove_nullspace_fixed",&remove_nullspace_fixed,NULL);CHKERRQ(ierr); 311 312 ierr = PetscOptionsGetReal(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_set_damping_factor_floating", 313 &floating_factor,&set_damping_factor_floating);CHKERRQ(ierr); 314 if (!set_damping_factor_floating) floating_factor = 0.0; 315 ierr = PetscOptionsGetBool(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_set_damping_factor_floating",&set_damping_factor_floating,NULL);CHKERRQ(ierr); 316 if (!set_damping_factor_floating) floating_factor = 1.e-12; 317 318 ierr = PetscOptionsGetBool(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_not_damp_floating",¬_damp_floating,NULL);CHKERRQ(ierr); 319 320 ierr = PetscOptionsGetBool(((PetscObject)pc_ctx)->options,((PetscObject)pc_ctx)->prefix,"-pc_is_not_remove_nullspace_floating",¬_remove_nullspace_floating,NULL);CHKERRQ(ierr); 321 322 if (pcis->pure_neumann) { /* floating subdomain */ 323 if (!(not_damp_floating)) { 324 ierr = PCFactorSetShiftType(pc_ctx,MAT_SHIFT_NONZERO);CHKERRQ(ierr); 325 ierr = PCFactorSetShiftAmount(pc_ctx,floating_factor);CHKERRQ(ierr); 326 } 327 if (!(not_remove_nullspace_floating)) { 328 MatNullSpace nullsp; 329 ierr = MatNullSpaceCreate(PETSC_COMM_SELF,PETSC_TRUE,0,NULL,&nullsp);CHKERRQ(ierr); 330 ierr = MatSetNullSpace(matis->A,nullsp);CHKERRQ(ierr); 331 ierr = MatNullSpaceDestroy(&nullsp);CHKERRQ(ierr); 332 } 333 } else { /* fixed subdomain */ 334 if (damp_fixed) { 335 ierr = PCFactorSetShiftType(pc_ctx,MAT_SHIFT_NONZERO);CHKERRQ(ierr); 336 ierr = PCFactorSetShiftAmount(pc_ctx,floating_factor);CHKERRQ(ierr); 337 } 338 if (remove_nullspace_fixed) { 339 MatNullSpace nullsp; 340 ierr = MatNullSpaceCreate(PETSC_COMM_SELF,PETSC_TRUE,0,NULL,&nullsp);CHKERRQ(ierr); 341 ierr = MatSetNullSpace(matis->A,nullsp);CHKERRQ(ierr); 342 ierr = MatNullSpaceDestroy(&nullsp);CHKERRQ(ierr); 343 } 344 } 345 } 346 /* the vectors in the following line are dummy arguments, just telling the KSP the vector size. Values are not used */ 347 ierr = KSPSetUp(pcis->ksp_N);CHKERRQ(ierr); 348 } 349 350 PetscFunctionReturn(0); 351 } 352 353 /* -------------------------------------------------------------------------- */ 354 /* 355 PCISDestroy - 356 */ 357 PetscErrorCode PCISDestroy(PC pc) 358 { 359 PC_IS *pcis = (PC_IS*)(pc->data); 360 PetscErrorCode ierr; 361 362 PetscFunctionBegin; 363 ierr = ISDestroy(&pcis->is_B_local);CHKERRQ(ierr); 364 ierr = ISDestroy(&pcis->is_I_local);CHKERRQ(ierr); 365 ierr = ISDestroy(&pcis->is_B_global);CHKERRQ(ierr); 366 ierr = ISDestroy(&pcis->is_I_global);CHKERRQ(ierr); 367 ierr = MatDestroy(&pcis->A_II);CHKERRQ(ierr); 368 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 369 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 370 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 371 ierr = VecDestroy(&pcis->D);CHKERRQ(ierr); 372 ierr = KSPDestroy(&pcis->ksp_N);CHKERRQ(ierr); 373 ierr = KSPDestroy(&pcis->ksp_D);CHKERRQ(ierr); 374 ierr = VecDestroy(&pcis->vec1_N);CHKERRQ(ierr); 375 ierr = VecDestroy(&pcis->vec2_N);CHKERRQ(ierr); 376 ierr = VecDestroy(&pcis->vec1_D);CHKERRQ(ierr); 377 ierr = VecDestroy(&pcis->vec2_D);CHKERRQ(ierr); 378 ierr = VecDestroy(&pcis->vec3_D);CHKERRQ(ierr); 379 ierr = VecDestroy(&pcis->vec4_D);CHKERRQ(ierr); 380 ierr = VecDestroy(&pcis->vec1_B);CHKERRQ(ierr); 381 ierr = VecDestroy(&pcis->vec2_B);CHKERRQ(ierr); 382 ierr = VecDestroy(&pcis->vec3_B);CHKERRQ(ierr); 383 ierr = VecDestroy(&pcis->vec1_global);CHKERRQ(ierr); 384 ierr = VecScatterDestroy(&pcis->global_to_D);CHKERRQ(ierr); 385 ierr = VecScatterDestroy(&pcis->N_to_B);CHKERRQ(ierr); 386 ierr = VecScatterDestroy(&pcis->N_to_D);CHKERRQ(ierr); 387 ierr = VecScatterDestroy(&pcis->global_to_B);CHKERRQ(ierr); 388 ierr = PetscFree(pcis->work_N);CHKERRQ(ierr); 389 if (pcis->n_neigh > -1) { 390 ierr = ISLocalToGlobalMappingRestoreInfo(pcis->mapping,&(pcis->n_neigh),&(pcis->neigh),&(pcis->n_shared),&(pcis->shared));CHKERRQ(ierr); 391 } 392 ierr = ISLocalToGlobalMappingDestroy(&pcis->mapping);CHKERRQ(ierr); 393 ierr = ISLocalToGlobalMappingDestroy(&pcis->BtoNmap);CHKERRQ(ierr); 394 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetUseStiffnessScaling_C",NULL);CHKERRQ(ierr); 395 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetSubdomainScalingFactor_C",NULL);CHKERRQ(ierr); 396 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetSubdomainDiagonalScaling_C",NULL);CHKERRQ(ierr); 397 PetscFunctionReturn(0); 398 } 399 400 /* -------------------------------------------------------------------------- */ 401 /* 402 PCISCreate - 403 */ 404 PetscErrorCode PCISCreate(PC pc) 405 { 406 PC_IS *pcis = (PC_IS*)(pc->data); 407 PetscErrorCode ierr; 408 409 PetscFunctionBegin; 410 pcis->is_B_local = 0; 411 pcis->is_I_local = 0; 412 pcis->is_B_global = 0; 413 pcis->is_I_global = 0; 414 pcis->A_II = 0; 415 pcis->A_IB = 0; 416 pcis->A_BI = 0; 417 pcis->A_BB = 0; 418 pcis->D = 0; 419 pcis->ksp_N = 0; 420 pcis->ksp_D = 0; 421 pcis->vec1_N = 0; 422 pcis->vec2_N = 0; 423 pcis->vec1_D = 0; 424 pcis->vec2_D = 0; 425 pcis->vec3_D = 0; 426 pcis->vec1_B = 0; 427 pcis->vec2_B = 0; 428 pcis->vec3_B = 0; 429 pcis->vec1_global = 0; 430 pcis->work_N = 0; 431 pcis->global_to_D = 0; 432 pcis->N_to_B = 0; 433 pcis->N_to_D = 0; 434 pcis->global_to_B = 0; 435 pcis->mapping = 0; 436 pcis->BtoNmap = 0; 437 pcis->n_neigh = -1; 438 pcis->scaling_factor = 1.0; 439 pcis->reusesubmatrices = PETSC_TRUE; 440 /* composing functions */ 441 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetUseStiffnessScaling_C",PCISSetUseStiffnessScaling_IS);CHKERRQ(ierr); 442 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetSubdomainScalingFactor_C",PCISSetSubdomainScalingFactor_IS);CHKERRQ(ierr); 443 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCISSetSubdomainDiagonalScaling_C",PCISSetSubdomainDiagonalScaling_IS);CHKERRQ(ierr); 444 PetscFunctionReturn(0); 445 } 446 447 /* -------------------------------------------------------------------------- */ 448 /* 449 PCISApplySchur - 450 451 Input parameters: 452 . pc - preconditioner context 453 . v - vector to which the Schur complement is to be applied (it is NOT modified inside this function, UNLESS vec2_B is null) 454 455 Output parameters: 456 . vec1_B - result of Schur complement applied to chunk 457 . vec2_B - garbage (used as work space), or null (and v is used as workspace) 458 . vec1_D - garbage (used as work space) 459 . vec2_D - garbage (used as work space) 460 461 */ 462 PetscErrorCode PCISApplySchur(PC pc, Vec v, Vec vec1_B, Vec vec2_B, Vec vec1_D, Vec vec2_D) 463 { 464 PetscErrorCode ierr; 465 PC_IS *pcis = (PC_IS*)(pc->data); 466 467 PetscFunctionBegin; 468 if (!vec2_B) vec2_B = v; 469 470 ierr = MatMult(pcis->A_BB,v,vec1_B);CHKERRQ(ierr); 471 ierr = MatMult(pcis->A_IB,v,vec1_D);CHKERRQ(ierr); 472 ierr = KSPSolve(pcis->ksp_D,vec1_D,vec2_D);CHKERRQ(ierr); 473 ierr = MatMult(pcis->A_BI,vec2_D,vec2_B);CHKERRQ(ierr); 474 ierr = VecAXPY(vec1_B,-1.0,vec2_B);CHKERRQ(ierr); 475 PetscFunctionReturn(0); 476 } 477 478 /* -------------------------------------------------------------------------- */ 479 /* 480 PCISScatterArrayNToVecB - Scatters interface node values from a big array (of all local nodes, interior or interface, 481 including ghosts) into an interface vector, when in SCATTER_FORWARD mode, or vice-versa, when in SCATTER_REVERSE 482 mode. 483 484 Input parameters: 485 . pc - preconditioner context 486 . array_N - [when in SCATTER_FORWARD mode] Array to be scattered into the vector 487 . v_B - [when in SCATTER_REVERSE mode] Vector to be scattered into the array 488 489 Output parameter: 490 . array_N - [when in SCATTER_REVERSE mode] Array to receive the scattered vector 491 . v_B - [when in SCATTER_FORWARD mode] Vector to receive the scattered array 492 493 Notes: 494 The entries in the array that do not correspond to interface nodes remain unaltered. 495 */ 496 PetscErrorCode PCISScatterArrayNToVecB(PetscScalar *array_N, Vec v_B, InsertMode imode, ScatterMode smode, PC pc) 497 { 498 PetscInt i; 499 const PetscInt *idex; 500 PetscErrorCode ierr; 501 PetscScalar *array_B; 502 PC_IS *pcis = (PC_IS*)(pc->data); 503 504 PetscFunctionBegin; 505 ierr = VecGetArray(v_B,&array_B);CHKERRQ(ierr); 506 ierr = ISGetIndices(pcis->is_B_local,&idex);CHKERRQ(ierr); 507 508 if (smode == SCATTER_FORWARD) { 509 if (imode == INSERT_VALUES) { 510 for (i=0; i<pcis->n_B; i++) array_B[i] = array_N[idex[i]]; 511 } else { /* ADD_VALUES */ 512 for (i=0; i<pcis->n_B; i++) array_B[i] += array_N[idex[i]]; 513 } 514 } else { /* SCATTER_REVERSE */ 515 if (imode == INSERT_VALUES) { 516 for (i=0; i<pcis->n_B; i++) array_N[idex[i]] = array_B[i]; 517 } else { /* ADD_VALUES */ 518 for (i=0; i<pcis->n_B; i++) array_N[idex[i]] += array_B[i]; 519 } 520 } 521 ierr = ISRestoreIndices(pcis->is_B_local,&idex);CHKERRQ(ierr); 522 ierr = VecRestoreArray(v_B,&array_B);CHKERRQ(ierr); 523 PetscFunctionReturn(0); 524 } 525 526 /* -------------------------------------------------------------------------- */ 527 /* 528 PCISApplyInvSchur - Solves the Neumann problem related to applying the inverse of the Schur complement. 529 More precisely, solves the problem: 530 [ A_II A_IB ] [ . ] [ 0 ] 531 [ ] [ ] = [ ] 532 [ A_BI A_BB ] [ x ] [ b ] 533 534 Input parameters: 535 . pc - preconditioner context 536 . b - vector of local interface nodes (including ghosts) 537 538 Output parameters: 539 . x - vector of local interface nodes (including ghosts); returns the application of the inverse of the Schur 540 complement to b 541 . vec1_N - vector of local nodes (interior and interface, including ghosts); returns garbage (used as work space) 542 . vec2_N - vector of local nodes (interior and interface, including ghosts); returns garbage (used as work space) 543 544 */ 545 PetscErrorCode PCISApplyInvSchur(PC pc, Vec b, Vec x, Vec vec1_N, Vec vec2_N) 546 { 547 PetscErrorCode ierr; 548 PC_IS *pcis = (PC_IS*)(pc->data); 549 550 PetscFunctionBegin; 551 /* 552 Neumann solvers. 553 Applying the inverse of the local Schur complement, i.e, solving a Neumann 554 Problem with zero at the interior nodes of the RHS and extracting the interface 555 part of the solution. inverse Schur complement is applied to b and the result 556 is stored in x. 557 */ 558 /* Setting the RHS vec1_N */ 559 ierr = VecSet(vec1_N,0.0);CHKERRQ(ierr); 560 ierr = VecScatterBegin(pcis->N_to_B,b,vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 561 ierr = VecScatterEnd (pcis->N_to_B,b,vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 562 /* Checking for consistency of the RHS */ 563 { 564 PetscBool flg = PETSC_FALSE; 565 ierr = PetscOptionsGetBool(NULL,NULL,"-pc_is_check_consistency",&flg,NULL);CHKERRQ(ierr); 566 if (flg) { 567 PetscScalar average; 568 PetscViewer viewer; 569 ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)pc),&viewer);CHKERRQ(ierr); 570 571 ierr = VecSum(vec1_N,&average);CHKERRQ(ierr); 572 average = average / ((PetscReal)pcis->n); 573 ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr); 574 if (pcis->pure_neumann) { 575 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d is floating. Average = % 1.14e\n",PetscGlobalRank,PetscAbsScalar(average));CHKERRQ(ierr); 576 } else { 577 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"Subdomain %04d is fixed. Average = % 1.14e\n",PetscGlobalRank,PetscAbsScalar(average));CHKERRQ(ierr); 578 } 579 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 580 ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr); 581 } 582 } 583 /* Solving the system for vec2_N */ 584 ierr = KSPSolve(pcis->ksp_N,vec1_N,vec2_N);CHKERRQ(ierr); 585 /* Extracting the local interface vector out of the solution */ 586 ierr = VecScatterBegin(pcis->N_to_B,vec2_N,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 587 ierr = VecScatterEnd (pcis->N_to_B,vec2_N,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 588 PetscFunctionReturn(0); 589 } 590 591 592 593 594 595 596 597 598 599