1 #define PETSCKSP_DLL 2 3 /* 4 Defines a ILU factorization preconditioner for any Mat implementation 5 */ 6 #include "../src/ksp/pc/impls/factor/ilu/ilu.h" /*I "petscpc.h" I*/ 7 8 /* ------------------------------------------------------------------------------------------*/ 9 EXTERN_C_BEGIN 10 #undef __FUNCT__ 11 #define __FUNCT__ "PCFactorSetReuseFill_ILU" 12 PetscErrorCode PETSCKSP_DLLEXPORT PCFactorSetReuseFill_ILU(PC pc,PetscTruth flag) 13 { 14 PC_ILU *lu = (PC_ILU*)pc->data; 15 16 PetscFunctionBegin; 17 lu->reusefill = flag; 18 PetscFunctionReturn(0); 19 } 20 EXTERN_C_END 21 22 EXTERN_C_BEGIN 23 #undef __FUNCT__ 24 #define __FUNCT__ "PCFactorReorderForNonzeroDiagonal_ILU" 25 PetscErrorCode PETSCKSP_DLLEXPORT PCFactorReorderForNonzeroDiagonal_ILU(PC pc,PetscReal z) 26 { 27 PC_ILU *ilu = (PC_ILU*)pc->data; 28 29 PetscFunctionBegin; 30 ilu->nonzerosalongdiagonal = PETSC_TRUE; 31 if (z == PETSC_DECIDE) { 32 ilu->nonzerosalongdiagonaltol = 1.e-10; 33 } else { 34 ilu->nonzerosalongdiagonaltol = z; 35 } 36 PetscFunctionReturn(0); 37 } 38 EXTERN_C_END 39 40 #undef __FUNCT__ 41 #define __FUNCT__ "PCDestroy_ILU_Internal" 42 PetscErrorCode PCDestroy_ILU_Internal(PC pc) 43 { 44 PC_ILU *ilu = (PC_ILU*)pc->data; 45 PetscErrorCode ierr; 46 47 PetscFunctionBegin; 48 if (!ilu->inplace && ((PC_Factor*)ilu)->fact) {ierr = MatDestroy(((PC_Factor*)ilu)->fact);CHKERRQ(ierr);} 49 if (ilu->row && ilu->col && ilu->row != ilu->col) {ierr = ISDestroy(ilu->row);CHKERRQ(ierr);} 50 if (ilu->col) {ierr = ISDestroy(ilu->col);CHKERRQ(ierr);} 51 PetscFunctionReturn(0); 52 } 53 54 EXTERN_C_BEGIN 55 #undef __FUNCT__ 56 #define __FUNCT__ "PCFactorSetUseDropTolerance_ILU" 57 PetscErrorCode PETSCKSP_DLLEXPORT PCFactorSetUseDropTolerance_ILU(PC pc,PetscReal dt,PetscReal dtcol,PetscInt dtcount) 58 { 59 PC_ILU *ilu = (PC_ILU*)pc->data; 60 PetscErrorCode ierr; 61 62 PetscFunctionBegin; 63 if (pc->setupcalled && (!ilu->usedt || ((PC_Factor*)ilu)->info.dt != dt || ((PC_Factor*)ilu)->info.dtcol != dtcol || ((PC_Factor*)ilu)->info.dtcount != dtcount)) { 64 pc->setupcalled = 0; 65 ierr = PCDestroy_ILU_Internal(pc);CHKERRQ(ierr); 66 } 67 ilu->usedt = PETSC_TRUE; 68 ((PC_Factor*)ilu)->info.dt = dt; 69 ((PC_Factor*)ilu)->info.dtcol = dtcol; 70 ((PC_Factor*)ilu)->info.dtcount = dtcount; 71 ((PC_Factor*)ilu)->info.fill = PETSC_DEFAULT; 72 PetscFunctionReturn(0); 73 } 74 EXTERN_C_END 75 76 EXTERN_C_BEGIN 77 #undef __FUNCT__ 78 #define __FUNCT__ "PCFactorSetReuseOrdering_ILU" 79 PetscErrorCode PETSCKSP_DLLEXPORT PCFactorSetReuseOrdering_ILU(PC pc,PetscTruth flag) 80 { 81 PC_ILU *ilu = (PC_ILU*)pc->data; 82 83 PetscFunctionBegin; 84 ilu->reuseordering = flag; 85 PetscFunctionReturn(0); 86 } 87 EXTERN_C_END 88 89 EXTERN_C_BEGIN 90 #undef __FUNCT__ 91 #define __FUNCT__ "PCFactorSetUseInPlace_ILU" 92 PetscErrorCode PETSCKSP_DLLEXPORT PCFactorSetUseInPlace_ILU(PC pc) 93 { 94 PC_ILU *dir = (PC_ILU*)pc->data; 95 96 PetscFunctionBegin; 97 dir->inplace = PETSC_TRUE; 98 PetscFunctionReturn(0); 99 } 100 EXTERN_C_END 101 102 #undef __FUNCT__ 103 #define __FUNCT__ "PCSetFromOptions_ILU" 104 static PetscErrorCode PCSetFromOptions_ILU(PC pc) 105 { 106 PetscErrorCode ierr; 107 PetscInt dtmax = 3,itmp; 108 PetscTruth flg; 109 PetscReal dt[3]; 110 PC_ILU *ilu = (PC_ILU*)pc->data; 111 PetscReal tol; 112 113 PetscFunctionBegin; 114 ierr = PetscOptionsHead("ILU Options");CHKERRQ(ierr); 115 ierr = PCSetFromOptions_Factor(pc);CHKERRQ(ierr); 116 117 ierr = PetscOptionsInt("-pc_factor_levels","levels of fill","PCFactorSetLevels",(PetscInt)((PC_Factor*)ilu)->info.levels,&itmp,&flg);CHKERRQ(ierr); 118 if (flg) ((PC_Factor*)ilu)->info.levels = itmp; 119 flg = PETSC_FALSE; 120 ierr = PetscOptionsTruth("-pc_factor_diagonal_fill","Allow fill into empty diagonal entry","PCFactorSetAllowDiagonalFill",flg,&flg,PETSC_NULL);CHKERRQ(ierr); 121 ((PC_Factor*)ilu)->info.diagonal_fill = (double) flg; 122 123 dt[0] = ((PC_Factor*)ilu)->info.dt; 124 dt[1] = ((PC_Factor*)ilu)->info.dtcol; 125 dt[2] = ((PC_Factor*)ilu)->info.dtcount; 126 ierr = PetscOptionsRealArray("-pc_factor_use_drop_tolerance","<dt,dtcol,maxrowcount>","PCFactorSetUseDropTolerance",dt,&dtmax,&flg);CHKERRQ(ierr); 127 if (flg) { 128 ierr = PCFactorSetUseDropTolerance(pc,dt[0],dt[1],(PetscInt)dt[2]);CHKERRQ(ierr); 129 } 130 131 ierr = PetscOptionsName("-pc_factor_nonzeros_along_diagonal","Reorder to remove zeros from diagonal","PCFactorReorderForNonzeroDiagonal",&flg);CHKERRQ(ierr); 132 if (flg) { 133 tol = PETSC_DECIDE; 134 ierr = PetscOptionsReal("-pc_factor_nonzeros_along_diagonal","Reorder to remove zeros from diagonal","PCFactorReorderForNonzeroDiagonal",ilu->nonzerosalongdiagonaltol,&tol,0);CHKERRQ(ierr); 135 ierr = PCFactorReorderForNonzeroDiagonal(pc,tol);CHKERRQ(ierr); 136 } 137 138 ierr = PetscOptionsTail();CHKERRQ(ierr); 139 PetscFunctionReturn(0); 140 } 141 142 #undef __FUNCT__ 143 #define __FUNCT__ "PCView_ILU" 144 static PetscErrorCode PCView_ILU(PC pc,PetscViewer viewer) 145 { 146 PC_ILU *ilu = (PC_ILU*)pc->data; 147 PetscErrorCode ierr; 148 PetscTruth isstring,iascii; 149 150 PetscFunctionBegin; 151 ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_STRING,&isstring);CHKERRQ(ierr); 152 ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr); 153 if (iascii) { 154 if (ilu->usedt) { 155 ierr = PetscViewerASCIIPrintf(viewer," ILU: drop tolerance %G\n",((PC_Factor*)ilu)->info.dt);CHKERRQ(ierr); 156 ierr = PetscViewerASCIIPrintf(viewer," ILU: max nonzeros per row %D\n",(PetscInt)((PC_Factor*)ilu)->info.dtcount);CHKERRQ(ierr); 157 ierr = PetscViewerASCIIPrintf(viewer," ILU: column permutation tolerance %G\n",((PC_Factor*)ilu)->info.dtcol);CHKERRQ(ierr); 158 } else if (((PC_Factor*)ilu)->info.levels == 1) { 159 ierr = PetscViewerASCIIPrintf(viewer," ILU: %D level of fill\n",(PetscInt)((PC_Factor*)ilu)->info.levels);CHKERRQ(ierr); 160 } else { 161 ierr = PetscViewerASCIIPrintf(viewer," ILU: %D levels of fill\n",(PetscInt)((PC_Factor*)ilu)->info.levels);CHKERRQ(ierr); 162 } 163 ierr = PetscViewerASCIIPrintf(viewer," ILU: factor fill ratio allocated %G\n",((PC_Factor*)ilu)->info.fill);CHKERRQ(ierr); 164 ierr = PetscViewerASCIIPrintf(viewer," ILU: tolerance for zero pivot %G\n",((PC_Factor*)ilu)->info.zeropivot);CHKERRQ(ierr); 165 if (((PC_Factor*)ilu)->info.shiftpd) {ierr = PetscViewerASCIIPrintf(viewer," ILU: using Manteuffel shift\n");CHKERRQ(ierr);} 166 if (((PC_Factor*)ilu)->info.shiftnz) {ierr = PetscViewerASCIIPrintf(viewer," ILU: using diagonal shift to prevent zero pivot\n");CHKERRQ(ierr);} 167 if (((PC_Factor*)ilu)->info.shiftinblocks) {ierr = PetscViewerASCIIPrintf(viewer," ILU: using diagonal shift on blocks to prevent zero pivot\n");CHKERRQ(ierr);} 168 if (ilu->inplace) {ierr = PetscViewerASCIIPrintf(viewer," in-place factorization\n");CHKERRQ(ierr);} 169 else {ierr = PetscViewerASCIIPrintf(viewer," out-of-place factorization\n");CHKERRQ(ierr);} 170 ierr = PetscViewerASCIIPrintf(viewer," matrix ordering: %s\n",((PC_Factor*)ilu)->ordering);CHKERRQ(ierr); 171 if (ilu->reusefill) {ierr = PetscViewerASCIIPrintf(viewer," Reusing fill from past factorization\n");CHKERRQ(ierr);} 172 if (ilu->reuseordering) {ierr = PetscViewerASCIIPrintf(viewer," Reusing reordering from past factorization\n");CHKERRQ(ierr);} 173 if (((PC_Factor*)ilu)->fact) { 174 ierr = PetscViewerASCIIPrintf(viewer," ILU: factor fill ratio needed %G\n",ilu->actualfill);CHKERRQ(ierr); 175 ierr = PetscViewerASCIIPrintf(viewer," Factored matrix follows\n");CHKERRQ(ierr); 176 ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr); 177 ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr); 178 ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr); 179 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr); 180 ierr = MatView(((PC_Factor*)ilu)->fact,viewer);CHKERRQ(ierr); 181 ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr); 182 ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr); 183 ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr); 184 ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr); 185 } 186 } else if (isstring) { 187 ierr = PetscViewerStringSPrintf(viewer," lvls=%D,order=%s",(PetscInt)((PC_Factor*)ilu)->info.levels,((PC_Factor*)ilu)->ordering);CHKERRQ(ierr);CHKERRQ(ierr); 188 } else { 189 SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported for PCILU",((PetscObject)viewer)->type_name); 190 } 191 PetscFunctionReturn(0); 192 } 193 194 #undef __FUNCT__ 195 #define __FUNCT__ "PCSetUp_ILU" 196 static PetscErrorCode PCSetUp_ILU(PC pc) 197 { 198 PetscErrorCode ierr; 199 PC_ILU *ilu = (PC_ILU*)pc->data; 200 MatInfo info; 201 202 PetscFunctionBegin; 203 if (ilu->inplace) { 204 CHKMEMQ; 205 if (!pc->setupcalled) { 206 207 /* In-place factorization only makes sense with the natural ordering, 208 so we only need to get the ordering once, even if nonzero structure changes */ 209 ierr = MatGetOrdering(pc->pmat,((PC_Factor*)ilu)->ordering,&ilu->row,&ilu->col);CHKERRQ(ierr); 210 if (ilu->row) {ierr = PetscLogObjectParent(pc,ilu->row);CHKERRQ(ierr);} 211 if (ilu->col) {ierr = PetscLogObjectParent(pc,ilu->col);CHKERRQ(ierr);} 212 } 213 214 /* In place ILU only makes sense with fill factor of 1.0 because 215 cannot have levels of fill */ 216 ((PC_Factor*)ilu)->info.fill = 1.0; 217 ((PC_Factor*)ilu)->info.diagonal_fill = 0; 218 ierr = MatILUFactor(pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 219 CHKMEMQ; 220 ((PC_Factor*)ilu)->fact = pc->pmat; 221 } else if (ilu->usedt) { 222 if (!pc->setupcalled) { 223 ierr = MatGetOrdering(pc->pmat,((PC_Factor*)ilu)->ordering,&ilu->row,&ilu->col);CHKERRQ(ierr); 224 CHKMEMQ; 225 ierr = MatGetFactor(pc->pmat,MAT_SOLVER_PETSC,MAT_FACTOR_ILUDT,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 226 if (ilu->row) {ierr = PetscLogObjectParent(pc,ilu->row);CHKERRQ(ierr);} 227 if (ilu->col) {ierr = PetscLogObjectParent(pc,ilu->col);CHKERRQ(ierr);} 228 ierr = MatILUDTFactor(pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 229 ierr = PetscLogObjectParent(pc,((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 230 } else if (pc->flag != SAME_NONZERO_PATTERN) { 231 CHKMEMQ; 232 ierr = MatDestroy(((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 233 CHKMEMQ; 234 if (!ilu->reuseordering) { 235 if (ilu->row) {ierr = ISDestroy(ilu->row);CHKERRQ(ierr);} 236 if (ilu->col) {ierr = ISDestroy(ilu->col);CHKERRQ(ierr);} 237 ierr = MatGetOrdering(pc->pmat,((PC_Factor*)ilu)->ordering,&ilu->row,&ilu->col);CHKERRQ(ierr); 238 if (ilu->row) {ierr = PetscLogObjectParent(pc,ilu->row);CHKERRQ(ierr);} 239 if (ilu->col) {ierr = PetscLogObjectParent(pc,ilu->col);CHKERRQ(ierr);} 240 } 241 ierr = MatGetFactor(pc->pmat,MAT_SOLVER_PETSC,MAT_FACTOR_ILUDT,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 242 ierr = MatILUDTFactor(pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 243 ierr = PetscLogObjectParent(pc,((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 244 } else if (!ilu->reusefill) { 245 ierr = MatDestroy(((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 246 ierr = MatGetFactor(pc->pmat,MAT_SOLVER_PETSC,MAT_FACTOR_ILUDT,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 247 ierr = MatILUDTFactor(pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 248 ierr = PetscLogObjectParent(pc,((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 249 } else { 250 ierr = MatLUFactorNumeric(((PC_Factor*)ilu)->fact,pc->pmat,&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 251 } 252 } else { 253 if (!pc->setupcalled) { 254 /* first time in so compute reordering and symbolic factorization */ 255 ierr = MatGetOrdering(pc->pmat,((PC_Factor*)ilu)->ordering,&ilu->row,&ilu->col);CHKERRQ(ierr); 256 if (ilu->row) {ierr = PetscLogObjectParent(pc,ilu->row);CHKERRQ(ierr);} 257 if (ilu->col) {ierr = PetscLogObjectParent(pc,ilu->col);CHKERRQ(ierr);} 258 /* Remove zeros along diagonal? */ 259 if (ilu->nonzerosalongdiagonal) { 260 ierr = MatReorderForNonzeroDiagonal(pc->pmat,ilu->nonzerosalongdiagonaltol,ilu->row,ilu->col);CHKERRQ(ierr); 261 } 262 CHKMEMQ; 263 ierr = MatGetFactor(pc->pmat,((PC_Factor*)ilu)->solvertype,MAT_FACTOR_ILU,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 264 CHKMEMQ; 265 ierr = MatILUFactorSymbolic(((PC_Factor*)ilu)->fact,pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 266 ierr = MatGetInfo(((PC_Factor*)ilu)->fact,MAT_LOCAL,&info);CHKERRQ(ierr); 267 ilu->actualfill = info.fill_ratio_needed; 268 ierr = PetscLogObjectParent(pc,((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 269 } else if (pc->flag != SAME_NONZERO_PATTERN) { 270 if (!ilu->reuseordering) { 271 /* compute a new ordering for the ILU */ 272 ierr = ISDestroy(ilu->row);CHKERRQ(ierr); 273 ierr = ISDestroy(ilu->col);CHKERRQ(ierr); 274 ierr = MatGetOrdering(pc->pmat,((PC_Factor*)ilu)->ordering,&ilu->row,&ilu->col);CHKERRQ(ierr); 275 if (ilu->row) {ierr = PetscLogObjectParent(pc,ilu->row);CHKERRQ(ierr);} 276 if (ilu->col) {ierr = PetscLogObjectParent(pc,ilu->col);CHKERRQ(ierr);} 277 /* Remove zeros along diagonal? */ 278 if (ilu->nonzerosalongdiagonal) { 279 ierr = MatReorderForNonzeroDiagonal(pc->pmat,ilu->nonzerosalongdiagonaltol,ilu->row,ilu->col);CHKERRQ(ierr); 280 } 281 } 282 ierr = MatDestroy(((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 283 ierr = MatGetFactor(pc->pmat,MAT_SOLVER_PETSC,MAT_FACTOR_ILU,&((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 284 ierr = MatILUFactorSymbolic(((PC_Factor*)ilu)->fact,pc->pmat,ilu->row,ilu->col,&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 285 ierr = MatGetInfo(((PC_Factor*)ilu)->fact,MAT_LOCAL,&info);CHKERRQ(ierr); 286 ilu->actualfill = info.fill_ratio_needed; 287 ierr = PetscLogObjectParent(pc,((PC_Factor*)ilu)->fact);CHKERRQ(ierr); 288 } 289 CHKMEMQ; 290 ierr = MatLUFactorNumeric(((PC_Factor*)ilu)->fact,pc->pmat,&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 291 CHKMEMQ; 292 } 293 PetscFunctionReturn(0); 294 } 295 296 #undef __FUNCT__ 297 #define __FUNCT__ "PCDestroy_ILU" 298 static PetscErrorCode PCDestroy_ILU(PC pc) 299 { 300 PC_ILU *ilu = (PC_ILU*)pc->data; 301 PetscErrorCode ierr; 302 303 PetscFunctionBegin; 304 ierr = PCDestroy_ILU_Internal(pc);CHKERRQ(ierr); 305 ierr = PetscStrfree(((PC_Factor*)ilu)->solvertype);CHKERRQ(ierr); 306 ierr = PetscStrfree(((PC_Factor*)ilu)->ordering);CHKERRQ(ierr); 307 ierr = PetscFree(ilu);CHKERRQ(ierr); 308 PetscFunctionReturn(0); 309 } 310 311 #undef __FUNCT__ 312 #define __FUNCT__ "PCApply_ILU" 313 static PetscErrorCode PCApply_ILU(PC pc,Vec x,Vec y) 314 { 315 PC_ILU *ilu = (PC_ILU*)pc->data; 316 PetscErrorCode ierr; 317 318 PetscFunctionBegin; 319 ierr = MatSolve(((PC_Factor*)ilu)->fact,x,y);CHKERRQ(ierr); 320 PetscFunctionReturn(0); 321 } 322 323 #undef __FUNCT__ 324 #define __FUNCT__ "PCApplyTranspose_ILU" 325 static PetscErrorCode PCApplyTranspose_ILU(PC pc,Vec x,Vec y) 326 { 327 PC_ILU *ilu = (PC_ILU*)pc->data; 328 PetscErrorCode ierr; 329 330 PetscFunctionBegin; 331 ierr = MatSolveTranspose(((PC_Factor*)ilu)->fact,x,y);CHKERRQ(ierr); 332 PetscFunctionReturn(0); 333 } 334 335 /*MC 336 PCILU - Incomplete factorization preconditioners. 337 338 Options Database Keys: 339 + -pc_factor_levels <k> - number of levels of fill for ILU(k) 340 . -pc_factor_in_place - only for ILU(0) with natural ordering, reuses the space of the matrix for 341 its factorization (overwrites original matrix) 342 . -pc_factor_diagonal_fill - fill in a zero diagonal even if levels of fill indicate it wouldn't be fill 343 . -pc_factor_reuse_ordering - reuse ordering of factorized matrix from previous factorization 344 . -pc_factor_use_drop_tolerance <dt,dtcol,maxrowcount> - use Saad's drop tolerance ILUdt 345 . -pc_factor_fill <nfill> - expected amount of fill in factored matrix compared to original matrix, nfill > 1 346 . -pc_factor_nonzeros_along_diagonal - reorder the matrix before factorization to remove zeros from the diagonal, 347 this decreases the chance of getting a zero pivot 348 . -pc_factor_mat_ordering_type <natural,nd,1wd,rcm,qmd> - set the row/column ordering of the factored matrix 349 . -pc_factor_pivot_in_blocks - for block ILU(k) factorization, i.e. with BAIJ matrices with block size larger 350 than 1 the diagonal blocks are factored with partial pivoting (this increases the 351 stability of the ILU factorization 352 . -pc_factor_shift_in_blocks - adds a small diagonal to any block if it is singular during ILU factorization 353 . -pc_factor_shift_nonzero <shift> - Sets shift amount or PETSC_DECIDE for the default 354 - -pc_factor_shift_positive_definite true or false - Activate/Deactivate PCFactorSetShiftPd(); the value 355 is optional with true being the default 356 357 Level: beginner 358 359 Concepts: incomplete factorization 360 361 Notes: Only implemented for some matrix formats. (for parallel use you 362 must use MATMPIROWBS, see MatCreateMPIRowbs(), this supports only ILU(0) and this is not recommended 363 unless you really want a parallel ILU). 364 365 For BAIJ matrices this implements a point block ILU 366 367 References: 368 T. Dupont, R. Kendall, and H. Rachford. An approximate factorization procedure for solving 369 self-adjoint elliptic difference equations. SIAM J. Numer. Anal., 5:559--573, 1968. 370 371 T.A. Oliphant. An implicit numerical method for solving two-dimensional time-dependent dif- 372 fusion problems. Quart. Appl. Math., 19:221--229, 1961. 373 374 Review article: APPROXIMATE AND INCOMPLETE FACTORIZATIONS, TONY F. CHAN AND HENK A. VAN DER VORST 375 http://igitur-archive.library.uu.nl/math/2001-0621-115821/proc.pdf chapter in Parallel Numerical 376 Algorithms, edited by D. Keyes, A. Semah, V. Venkatakrishnan, ICASE/LaRC Interdisciplinary Series in 377 Science and Engineering, Kluwer, pp. 167--202. 378 379 380 .seealso: PCCreate(), PCSetType(), PCType (for list of available types), PC, PCSOR, MatOrderingType, 381 PCFactorSetZeroPivot(), PCFactorSetShiftNonzero(), PCFactorSetShiftPd(), PCFactorSetShiftInBlocks(), 382 PCFactorSetUseDropTolerance(),PCFactorSetFill(), PCFactorSetMatOrderingType(), PCFactorSetReuseOrdering(), 383 PCFactorSetLevels(), PCFactorSetUseInPlace(), PCFactorSetAllowDiagonalFill(), PCFactorSetPivotInBlocks() 384 385 M*/ 386 387 EXTERN_C_BEGIN 388 #undef __FUNCT__ 389 #define __FUNCT__ "PCCreate_ILU" 390 PetscErrorCode PETSCKSP_DLLEXPORT PCCreate_ILU(PC pc) 391 { 392 PetscErrorCode ierr; 393 PC_ILU *ilu; 394 395 PetscFunctionBegin; 396 ierr = PetscNewLog(pc,PC_ILU,&ilu);CHKERRQ(ierr); 397 398 ((PC_Factor*)ilu)->fact = 0; 399 ierr = MatFactorInfoInitialize(&((PC_Factor*)ilu)->info);CHKERRQ(ierr); 400 ((PC_Factor*)ilu)->info.levels = 0; 401 ((PC_Factor*)ilu)->info.fill = 1.0; 402 ilu->col = 0; 403 ilu->row = 0; 404 ilu->inplace = PETSC_FALSE; 405 ierr = PetscStrallocpy(MAT_SOLVER_PETSC,&((PC_Factor*)ilu)->solvertype);CHKERRQ(ierr); 406 ierr = PetscStrallocpy(MATORDERING_NATURAL,&((PC_Factor*)ilu)->ordering);CHKERRQ(ierr); 407 ilu->reuseordering = PETSC_FALSE; 408 ilu->usedt = PETSC_FALSE; 409 ((PC_Factor*)ilu)->info.dt = PETSC_DEFAULT; 410 ((PC_Factor*)ilu)->info.dtcount = PETSC_DEFAULT; 411 ((PC_Factor*)ilu)->info.dtcol = PETSC_DEFAULT; 412 ((PC_Factor*)ilu)->info.shiftnz = 1.e-12; 413 ((PC_Factor*)ilu)->info.shiftpd = 0.0; /* false */ 414 ((PC_Factor*)ilu)->info.zeropivot = 1.e-12; 415 ((PC_Factor*)ilu)->info.pivotinblocks = 1.0; 416 ((PC_Factor*)ilu)->info.shiftinblocks = 1.e-12; 417 ilu->reusefill = PETSC_FALSE; 418 ((PC_Factor*)ilu)->info.diagonal_fill = 0; 419 pc->data = (void*)ilu; 420 421 pc->ops->destroy = PCDestroy_ILU; 422 pc->ops->apply = PCApply_ILU; 423 pc->ops->applytranspose = PCApplyTranspose_ILU; 424 pc->ops->setup = PCSetUp_ILU; 425 pc->ops->setfromoptions = PCSetFromOptions_ILU; 426 pc->ops->getfactoredmatrix = PCFactorGetMatrix_Factor; 427 pc->ops->view = PCView_ILU; 428 pc->ops->applyrichardson = 0; 429 430 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetZeroPivot_C","PCFactorSetZeroPivot_Factor", 431 PCFactorSetZeroPivot_Factor);CHKERRQ(ierr); 432 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetShiftNonzero_C","PCFactorSetShiftNonzero_Factor", 433 PCFactorSetShiftNonzero_Factor);CHKERRQ(ierr); 434 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetShiftPd_C","PCFactorSetShiftPd_Factor", 435 PCFactorSetShiftPd_Factor);CHKERRQ(ierr); 436 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetShiftInBlocks_C","PCFactorSetShiftInBlocks_Factor", 437 PCFactorSetShiftInBlocks_Factor);CHKERRQ(ierr); 438 439 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorGetMatSolverPackage_C","PCFactorGetMatSolverPackage_Factor", 440 PCFactorGetMatSolverPackage_Factor);CHKERRQ(ierr); 441 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetMatSolverPackage_C","PCFactorSetMatSolverPackage_Factor", 442 PCFactorSetMatSolverPackage_Factor);CHKERRQ(ierr); 443 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetUseDropTolerance_C","PCFactorSetUseDropTolerance_ILU", 444 PCFactorSetUseDropTolerance_ILU);CHKERRQ(ierr); 445 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetFill_C","PCFactorSetFill_Factor", 446 PCFactorSetFill_Factor);CHKERRQ(ierr); 447 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetMatOrderingType_C","PCFactorSetMatOrderingType_Factor", 448 PCFactorSetMatOrderingType_Factor);CHKERRQ(ierr); 449 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetReuseOrdering_C","PCFactorSetReuseOrdering_ILU", 450 PCFactorSetReuseOrdering_ILU);CHKERRQ(ierr); 451 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetReuseFill_C","PCFactorSetReuseFill_ILU", 452 PCFactorSetReuseFill_ILU);CHKERRQ(ierr); 453 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetLevels_C","PCFactorSetLevels_Factor", 454 PCFactorSetLevels_Factor);CHKERRQ(ierr); 455 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetUseInPlace_C","PCFactorSetUseInPlace_ILU", 456 PCFactorSetUseInPlace_ILU);CHKERRQ(ierr); 457 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetAllowDiagonalFill_C","PCFactorSetAllowDiagonalFill_Factor", 458 PCFactorSetAllowDiagonalFill_Factor);CHKERRQ(ierr); 459 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorSetPivotInBlocks_C","PCFactorSetPivotInBlocks_Factor", 460 PCFactorSetPivotInBlocks_Factor);CHKERRQ(ierr); 461 ierr = PetscObjectComposeFunctionDynamic((PetscObject)pc,"PCFactorReorderForNonzeroDiagonal_C","PCFactorReorderForNonzeroDiagonal_ILU", 462 PCFactorReorderForNonzeroDiagonal_ILU);CHKERRQ(ierr); 463 PetscFunctionReturn(0); 464 } 465 EXTERN_C_END 466