Actual source code: fas.c

  1: /* Defines the basic SNES object */
  2: #include <../src/snes/impls/fas/fasimpls.h>

  4: const char *const SNESFASTypes[] = {"MULTIPLICATIVE", "ADDITIVE", "FULL", "KASKADE", "SNESFASType", "SNES_FAS", NULL};

  6: static PetscErrorCode SNESReset_FAS(SNES snes)
  7: {
  8:   SNES_FAS *fas = (SNES_FAS *)snes->data;

 10:   PetscFunctionBegin;
 11:   PetscCall(SNESDestroy(&fas->smoothu));
 12:   PetscCall(SNESDestroy(&fas->smoothd));
 13:   PetscCall(MatDestroy(&fas->inject));
 14:   PetscCall(MatDestroy(&fas->interpolate));
 15:   PetscCall(MatDestroy(&fas->restrct));
 16:   PetscCall(VecDestroy(&fas->rscale));
 17:   PetscCall(VecDestroy(&fas->Xg));
 18:   PetscCall(VecDestroy(&fas->Fg));
 19:   if (fas->next) PetscCall(SNESReset(fas->next));
 20:   PetscFunctionReturn(PETSC_SUCCESS);
 21: }

 23: static PetscErrorCode SNESDestroy_FAS(SNES snes)
 24: {
 25:   SNES_FAS *fas = (SNES_FAS *)snes->data;

 27:   PetscFunctionBegin;
 28:   /* recursively resets and then destroys */
 29:   PetscCall(SNESReset_FAS(snes));
 30:   PetscCall(SNESDestroy(&fas->next));
 31:   PetscCall(PetscFree(fas));
 32:   PetscFunctionReturn(PETSC_SUCCESS);
 33: }

 35: static PetscErrorCode SNESFASSetUpLineSearch_Private(SNES snes, SNES smooth)
 36: {
 37:   SNESLineSearch linesearch;
 38:   SNESLineSearch slinesearch;
 39:   void          *lsprectx, *lspostctx;
 40:   PetscErrorCode (*precheck)(SNESLineSearch, Vec, Vec, PetscBool *, void *);
 41:   PetscErrorCode (*postcheck)(SNESLineSearch, Vec, Vec, Vec, PetscBool *, PetscBool *, void *);

 43:   PetscFunctionBegin;
 44:   if (!snes->linesearch) PetscFunctionReturn(PETSC_SUCCESS);
 45:   PetscCall(SNESGetLineSearch(snes, &linesearch));
 46:   PetscCall(SNESGetLineSearch(smooth, &slinesearch));
 47:   PetscCall(SNESLineSearchGetPreCheck(linesearch, &precheck, &lsprectx));
 48:   PetscCall(SNESLineSearchGetPostCheck(linesearch, &postcheck, &lspostctx));
 49:   PetscCall(SNESLineSearchSetPreCheck(slinesearch, precheck, lsprectx));
 50:   PetscCall(SNESLineSearchSetPostCheck(slinesearch, postcheck, lspostctx));
 51:   PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)linesearch, (PetscObject)slinesearch));
 52:   PetscFunctionReturn(PETSC_SUCCESS);
 53: }

 55: static PetscErrorCode SNESFASCycleSetUpSmoother_Private(SNES snes, SNES smooth)
 56: {
 57:   SNES_FAS *fas = (SNES_FAS *)snes->data;

 59:   PetscFunctionBegin;
 60:   PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)smooth));
 61:   PetscCall(SNESSetFromOptions(smooth));
 62:   PetscCall(SNESFASSetUpLineSearch_Private(snes, smooth));

 64:   PetscCall(PetscObjectReference((PetscObject)snes->vec_sol));
 65:   PetscCall(PetscObjectReference((PetscObject)snes->vec_sol_update));
 66:   PetscCall(PetscObjectReference((PetscObject)snes->vec_func));
 67:   smooth->vec_sol        = snes->vec_sol;
 68:   smooth->vec_sol_update = snes->vec_sol_update;
 69:   smooth->vec_func       = snes->vec_func;

 71:   if (fas->eventsmoothsetup) PetscCall(PetscLogEventBegin(fas->eventsmoothsetup, smooth, 0, 0, 0));
 72:   PetscCall(SNESSetUp(smooth));
 73:   if (fas->eventsmoothsetup) PetscCall(PetscLogEventEnd(fas->eventsmoothsetup, smooth, 0, 0, 0));
 74:   PetscFunctionReturn(PETSC_SUCCESS);
 75: }

 77: static PetscErrorCode SNESSetUp_FAS(SNES snes)
 78: {
 79:   SNES_FAS *fas = (SNES_FAS *)snes->data;
 80:   PetscInt  dm_levels;
 81:   SNES      next;
 82:   PetscBool isFine, hasCreateRestriction, hasCreateInjection;

 84:   PetscFunctionBegin;
 85:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
 86:   if (fas->usedmfornumberoflevels && isFine) {
 87:     PetscCall(DMGetRefineLevel(snes->dm, &dm_levels));
 88:     dm_levels++;
 89:     if (dm_levels > fas->levels) {
 90:       /* reset the number of levels */
 91:       PetscCall(SNESFASSetLevels(snes, dm_levels, NULL));
 92:       PetscCall(SNESSetFromOptions(snes));
 93:     }
 94:   }
 95:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
 96:   if (!isFine) snes->gridsequence = 0; /* no grid sequencing inside the multigrid hierarchy! */

 98:   PetscCall(SNESSetWorkVecs(snes, 2)); /* work vectors used for intergrid transfers */

100:   /* set up the smoothers if they haven't already been set up */
101:   if (!fas->smoothd) PetscCall(SNESFASCycleCreateSmoother_Private(snes, &fas->smoothd));

103:   if (snes->dm) {
104:     /* set the smoother DMs properly */
105:     if (fas->smoothu) PetscCall(SNESSetDM(fas->smoothu, snes->dm));
106:     PetscCall(SNESSetDM(fas->smoothd, snes->dm));
107:     /* construct EVERYTHING from the DM -- including the progressive set of smoothers */
108:     if (next) {
109:       /* for now -- assume the DM and the evaluation functions have been set externally */
110:       if (!next->dm) {
111:         PetscCall(DMCoarsen(snes->dm, PetscObjectComm((PetscObject)next), &next->dm));
112:         PetscCall(SNESSetDM(next, next->dm));
113:       }
114:       /* set the interpolation and restriction from the DM */
115:       if (!fas->interpolate) {
116:         PetscCall(DMCreateInterpolation(next->dm, snes->dm, &fas->interpolate, &fas->rscale));
117:         if (!fas->restrct) {
118:           PetscCall(DMHasCreateRestriction(next->dm, &hasCreateRestriction));
119:           /* DM can create restrictions, use that */
120:           if (hasCreateRestriction) {
121:             PetscCall(DMCreateRestriction(next->dm, snes->dm, &fas->restrct));
122:           } else {
123:             PetscCall(PetscObjectReference((PetscObject)fas->interpolate));
124:             fas->restrct = fas->interpolate;
125:           }
126:         }
127:       }
128:       /* set the injection from the DM */
129:       if (!fas->inject) {
130:         PetscCall(DMHasCreateInjection(next->dm, &hasCreateInjection));
131:         if (hasCreateInjection) PetscCall(DMCreateInjection(next->dm, snes->dm, &fas->inject));
132:       }
133:     }
134:   }

136:   /*pass the smoother, function, and jacobian up to the next level if it's not user set already */
137:   if (fas->galerkin) {
138:     if (next) PetscCall(SNESSetFunction(next, NULL, SNESFASGalerkinFunctionDefault, next));
139:     if (fas->smoothd && fas->level != fas->levels - 1) PetscCall(SNESSetFunction(fas->smoothd, NULL, SNESFASGalerkinFunctionDefault, snes));
140:     if (fas->smoothu && fas->level != fas->levels - 1) PetscCall(SNESSetFunction(fas->smoothu, NULL, SNESFASGalerkinFunctionDefault, snes));
141:   }

143:   /* sets the down (pre) smoother's default norm and sets it from options */
144:   if (fas->smoothd) {
145:     if (fas->level == 0) {
146:       PetscCall(SNESSetNormSchedule(fas->smoothd, SNES_NORM_ALWAYS));
147:     } else {
148:       PetscCall(SNESSetNormSchedule(fas->smoothd, SNES_NORM_FINAL_ONLY));
149:     }
150:     PetscCall(SNESFASCycleSetUpSmoother_Private(snes, fas->smoothd));
151:   }

153:   /* sets the up (post) smoother's default norm and sets it from options */
154:   if (fas->smoothu) {
155:     if (fas->level != fas->levels - 1) {
156:       PetscCall(SNESSetNormSchedule(fas->smoothu, SNES_NORM_NONE));
157:     } else {
158:       PetscCall(SNESSetNormSchedule(fas->smoothu, SNES_NORM_FINAL_ONLY));
159:     }
160:     PetscCall(SNESFASCycleSetUpSmoother_Private(snes, fas->smoothu));
161:   }

163:   if (next) {
164:     /* gotta set up the solution vector for this to work */
165:     if (!next->vec_sol) PetscCall(SNESFASCreateCoarseVec(snes, &next->vec_sol));
166:     if (!next->vec_rhs) PetscCall(SNESFASCreateCoarseVec(snes, &next->vec_rhs));
167:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)snes, (PetscObject)next));
168:     PetscCall(SNESFASSetUpLineSearch_Private(snes, next));
169:     PetscCall(SNESSetUp(next));
170:   }

172:   /* setup FAS work vectors */
173:   if (fas->galerkin) {
174:     PetscCall(VecDuplicate(snes->vec_sol, &fas->Xg));
175:     PetscCall(VecDuplicate(snes->vec_sol, &fas->Fg));
176:   }
177:   PetscFunctionReturn(PETSC_SUCCESS);
178: }

180: static PetscErrorCode SNESSetFromOptions_FAS(SNES snes, PetscOptionItems *PetscOptionsObject)
181: {
182:   SNES_FAS      *fas    = (SNES_FAS *)snes->data;
183:   PetscInt       levels = 1;
184:   PetscBool      flg = PETSC_FALSE, upflg = PETSC_FALSE, downflg = PETSC_FALSE, monflg = PETSC_FALSE, galerkinflg = PETSC_FALSE, continuationflg = PETSC_FALSE;
185:   SNESFASType    fastype;
186:   const char    *optionsprefix;
187:   SNESLineSearch linesearch;
188:   PetscInt       m, n_up, n_down;
189:   SNES           next;
190:   PetscBool      isFine;

192:   PetscFunctionBegin;
193:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
194:   PetscOptionsHeadBegin(PetscOptionsObject, "SNESFAS Options-----------------------------------");

196:   /* number of levels -- only process most options on the finest level */
197:   if (isFine) {
198:     PetscCall(PetscOptionsInt("-snes_fas_levels", "Number of Levels", "SNESFASSetLevels", levels, &levels, &flg));
199:     if (!flg && snes->dm) {
200:       PetscCall(DMGetRefineLevel(snes->dm, &levels));
201:       levels++;
202:       fas->usedmfornumberoflevels = PETSC_TRUE;
203:     }
204:     PetscCall(SNESFASSetLevels(snes, levels, NULL));
205:     fastype = fas->fastype;
206:     PetscCall(PetscOptionsEnum("-snes_fas_type", "FAS correction type", "SNESFASSetType", SNESFASTypes, (PetscEnum)fastype, (PetscEnum *)&fastype, &flg));
207:     if (flg) PetscCall(SNESFASSetType(snes, fastype));

209:     PetscCall(SNESGetOptionsPrefix(snes, &optionsprefix));
210:     PetscCall(PetscOptionsInt("-snes_fas_cycles", "Number of cycles", "SNESFASSetCycles", fas->n_cycles, &m, &flg));
211:     if (flg) PetscCall(SNESFASSetCycles(snes, m));
212:     PetscCall(PetscOptionsBool("-snes_fas_continuation", "Corrected grid-sequence continuation", "SNESFASSetContinuation", fas->continuation, &continuationflg, &flg));
213:     if (flg) PetscCall(SNESFASSetContinuation(snes, continuationflg));

215:     PetscCall(PetscOptionsBool("-snes_fas_galerkin", "Form coarse problems with Galerkin", "SNESFASSetGalerkin", fas->galerkin, &galerkinflg, &flg));
216:     if (flg) PetscCall(SNESFASSetGalerkin(snes, galerkinflg));

218:     if (fas->fastype == SNES_FAS_FULL) {
219:       PetscCall(PetscOptionsBool("-snes_fas_full_downsweep", "Smooth on the initial down sweep for full FAS cycles", "SNESFASFullSetDownSweep", fas->full_downsweep, &fas->full_downsweep, &flg));
220:       if (flg) PetscCall(SNESFASFullSetDownSweep(snes, fas->full_downsweep));
221:       PetscCall(PetscOptionsBool("-snes_fas_full_total", "Use total restriction and interpolaton on the indial down and up sweeps for the full FAS cycle", "SNESFASFullSetUseTotal", fas->full_total, &fas->full_total, &flg));
222:       if (flg) PetscCall(SNESFASFullSetTotal(snes, fas->full_total));
223:     }

225:     PetscCall(PetscOptionsInt("-snes_fas_smoothup", "Number of post-smoothing steps", "SNESFASSetNumberSmoothUp", fas->max_up_it, &n_up, &upflg));

227:     PetscCall(PetscOptionsInt("-snes_fas_smoothdown", "Number of pre-smoothing steps", "SNESFASSetNumberSmoothDown", fas->max_down_it, &n_down, &downflg));

229:     {
230:       PetscViewer       viewer;
231:       PetscViewerFormat format;
232:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)snes), ((PetscObject)snes)->options, ((PetscObject)snes)->prefix, "-snes_fas_monitor", &viewer, &format, &monflg));
233:       if (monflg) {
234:         PetscViewerAndFormat *vf;
235:         PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
236:         PetscCall(PetscViewerDestroy(&viewer));
237:         PetscCall(SNESFASSetMonitor(snes, vf, PETSC_TRUE));
238:       }
239:     }
240:     flg    = PETSC_FALSE;
241:     monflg = PETSC_TRUE;
242:     PetscCall(PetscOptionsBool("-snes_fas_log", "Log times for each FAS level", "SNESFASSetLog", monflg, &monflg, &flg));
243:     if (flg) PetscCall(SNESFASSetLog(snes, monflg));
244:   }

246:   PetscOptionsHeadEnd();

248:   /* setup from the determined types if there is no pointwise procedure or smoother defined */
249:   if (upflg) PetscCall(SNESFASSetNumberSmoothUp(snes, n_up));
250:   if (downflg) PetscCall(SNESFASSetNumberSmoothDown(snes, n_down));

252:   /* set up the default line search for coarse grid corrections */
253:   if (fas->fastype == SNES_FAS_ADDITIVE) {
254:     if (!snes->linesearch) {
255:       PetscCall(SNESGetLineSearch(snes, &linesearch));
256:       PetscCall(SNESLineSearchSetType(linesearch, SNESLINESEARCHL2));
257:     }
258:   }

260:   /* recursive option setting for the smoothers */
261:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
262:   if (next) PetscCall(SNESSetFromOptions(next));
263:   PetscFunctionReturn(PETSC_SUCCESS);
264: }

266: #include <petscdraw.h>
267: static PetscErrorCode SNESView_FAS(SNES snes, PetscViewer viewer)
268: {
269:   SNES_FAS *fas = (SNES_FAS *)snes->data;
270:   PetscBool isFine, iascii, isdraw;
271:   PetscInt  i;
272:   SNES      smoothu, smoothd, levelsnes;

274:   PetscFunctionBegin;
275:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
276:   if (isFine) {
277:     PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
278:     PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERDRAW, &isdraw));
279:     if (iascii) {
280:       PetscCall(PetscViewerASCIIPrintf(viewer, "  type is %s, levels=%" PetscInt_FMT ", cycles=%" PetscInt_FMT "\n", SNESFASTypes[fas->fastype], fas->levels, fas->n_cycles));
281:       if (fas->galerkin) {
282:         PetscCall(PetscViewerASCIIPrintf(viewer, "  Using Galerkin computed coarse grid function evaluation\n"));
283:       } else {
284:         PetscCall(PetscViewerASCIIPrintf(viewer, "  Not using Galerkin computed coarse grid function evaluation\n"));
285:       }
286:       for (i = 0; i < fas->levels; i++) {
287:         PetscCall(SNESFASGetCycleSNES(snes, i, &levelsnes));
288:         PetscCall(SNESFASCycleGetSmootherUp(levelsnes, &smoothu));
289:         PetscCall(SNESFASCycleGetSmootherDown(levelsnes, &smoothd));
290:         if (!i) {
291:           PetscCall(PetscViewerASCIIPrintf(viewer, "  Coarse grid solver -- level %" PetscInt_FMT " -------------------------------\n", i));
292:         } else {
293:           PetscCall(PetscViewerASCIIPrintf(viewer, "  Down solver (pre-smoother) on level %" PetscInt_FMT " -------------------------------\n", i));
294:         }
295:         PetscCall(PetscViewerASCIIPushTab(viewer));
296:         if (smoothd) {
297:           PetscCall(SNESView(smoothd, viewer));
298:         } else {
299:           PetscCall(PetscViewerASCIIPrintf(viewer, "Not yet available\n"));
300:         }
301:         PetscCall(PetscViewerASCIIPopTab(viewer));
302:         if (i && (smoothd == smoothu)) {
303:           PetscCall(PetscViewerASCIIPrintf(viewer, "  Up solver (post-smoother) same as down solver (pre-smoother)\n"));
304:         } else if (i) {
305:           PetscCall(PetscViewerASCIIPrintf(viewer, "  Up solver (post-smoother) on level %" PetscInt_FMT " -------------------------------\n", i));
306:           PetscCall(PetscViewerASCIIPushTab(viewer));
307:           if (smoothu) {
308:             PetscCall(SNESView(smoothu, viewer));
309:           } else {
310:             PetscCall(PetscViewerASCIIPrintf(viewer, "Not yet available\n"));
311:           }
312:           PetscCall(PetscViewerASCIIPopTab(viewer));
313:         }
314:       }
315:     } else if (isdraw) {
316:       PetscDraw draw;
317:       PetscReal x, w, y, bottom, th, wth;
318:       SNES_FAS *curfas = fas;
319:       PetscCall(PetscViewerDrawGetDraw(viewer, 0, &draw));
320:       PetscCall(PetscDrawGetCurrentPoint(draw, &x, &y));
321:       PetscCall(PetscDrawStringGetSize(draw, &wth, &th));
322:       bottom = y - th;
323:       while (curfas) {
324:         if (!curfas->smoothu) {
325:           PetscCall(PetscDrawPushCurrentPoint(draw, x, bottom));
326:           if (curfas->smoothd) PetscCall(SNESView(curfas->smoothd, viewer));
327:           PetscCall(PetscDrawPopCurrentPoint(draw));
328:         } else {
329:           w = 0.5 * PetscMin(1.0 - x, x);
330:           PetscCall(PetscDrawPushCurrentPoint(draw, x - w, bottom));
331:           if (curfas->smoothd) PetscCall(SNESView(curfas->smoothd, viewer));
332:           PetscCall(PetscDrawPopCurrentPoint(draw));
333:           PetscCall(PetscDrawPushCurrentPoint(draw, x + w, bottom));
334:           if (curfas->smoothu) PetscCall(SNESView(curfas->smoothu, viewer));
335:           PetscCall(PetscDrawPopCurrentPoint(draw));
336:         }
337:         /* this is totally bogus but we have no way of knowing how low the previous one was draw to */
338:         bottom -= 5 * th;
339:         if (curfas->next) curfas = (SNES_FAS *)curfas->next->data;
340:         else curfas = NULL;
341:       }
342:     }
343:   }
344:   PetscFunctionReturn(PETSC_SUCCESS);
345: }

347: /*
348: Defines the action of the downsmoother
349:  */
350: static PetscErrorCode SNESFASDownSmooth_Private(SNES snes, Vec B, Vec X, Vec F, PetscReal *fnorm)
351: {
352:   SNESConvergedReason reason;
353:   Vec                 FPC;
354:   SNES                smoothd;
355:   PetscBool           flg;
356:   SNES_FAS           *fas = (SNES_FAS *)snes->data;

358:   PetscFunctionBegin;
359:   PetscCall(SNESFASCycleGetSmootherDown(snes, &smoothd));
360:   PetscCall(SNESSetInitialFunction(smoothd, F));
361:   if (fas->eventsmoothsolve) PetscCall(PetscLogEventBegin(fas->eventsmoothsolve, smoothd, B, X, 0));
362:   PetscCall(SNESSolve(smoothd, B, X));
363:   if (fas->eventsmoothsolve) PetscCall(PetscLogEventEnd(fas->eventsmoothsolve, smoothd, B, X, 0));
364:   /* check convergence reason for the smoother */
365:   PetscCall(SNESGetConvergedReason(smoothd, &reason));
366:   if (reason < 0 && !(reason == SNES_DIVERGED_MAX_IT || reason == SNES_DIVERGED_LOCAL_MIN || reason == SNES_DIVERGED_LINE_SEARCH)) {
367:     snes->reason = SNES_DIVERGED_INNER;
368:     PetscFunctionReturn(PETSC_SUCCESS);
369:   }

371:   PetscCall(SNESGetFunction(smoothd, &FPC, NULL, NULL));
372:   PetscCall(SNESGetAlwaysComputesFinalResidual(smoothd, &flg));
373:   if (!flg) PetscCall(SNESComputeFunction(smoothd, X, FPC));
374:   PetscCall(VecCopy(FPC, F));
375:   if (fnorm) PetscCall(VecNorm(F, NORM_2, fnorm));
376:   PetscFunctionReturn(PETSC_SUCCESS);
377: }

379: /*
380: Defines the action of the upsmoother
381:  */
382: static PetscErrorCode SNESFASUpSmooth_Private(SNES snes, Vec B, Vec X, Vec F, PetscReal *fnorm)
383: {
384:   SNESConvergedReason reason;
385:   Vec                 FPC;
386:   SNES                smoothu;
387:   PetscBool           flg;
388:   SNES_FAS           *fas = (SNES_FAS *)snes->data;

390:   PetscFunctionBegin;
391:   PetscCall(SNESFASCycleGetSmootherUp(snes, &smoothu));
392:   if (fas->eventsmoothsolve) PetscCall(PetscLogEventBegin(fas->eventsmoothsolve, smoothu, 0, 0, 0));
393:   PetscCall(SNESSolve(smoothu, B, X));
394:   if (fas->eventsmoothsolve) PetscCall(PetscLogEventEnd(fas->eventsmoothsolve, smoothu, 0, 0, 0));
395:   /* check convergence reason for the smoother */
396:   PetscCall(SNESGetConvergedReason(smoothu, &reason));
397:   if (reason < 0 && !(reason == SNES_DIVERGED_MAX_IT || reason == SNES_DIVERGED_LOCAL_MIN || reason == SNES_DIVERGED_LINE_SEARCH)) {
398:     snes->reason = SNES_DIVERGED_INNER;
399:     PetscFunctionReturn(PETSC_SUCCESS);
400:   }
401:   PetscCall(SNESGetFunction(smoothu, &FPC, NULL, NULL));
402:   PetscCall(SNESGetAlwaysComputesFinalResidual(smoothu, &flg));
403:   if (!flg) PetscCall(SNESComputeFunction(smoothu, X, FPC));
404:   PetscCall(VecCopy(FPC, F));
405:   if (fnorm) PetscCall(VecNorm(F, NORM_2, fnorm));
406:   PetscFunctionReturn(PETSC_SUCCESS);
407: }

409: /*@
410:   SNESFASCreateCoarseVec - create a `Vec` corresponding to a state vector on one level coarser than the current level

412:   Collective

414:   Input Parameter:
415: . snes - `SNESFAS` object

417:   Output Parameter:
418: . Xcoarse - vector on level one coarser than the current level

420:   Level: developer

422: .seealso: [](ch_snes), `SNESFASSetRestriction()`, `SNESFASRestrict()`, `SNESFAS`
423: @*/
424: PetscErrorCode SNESFASCreateCoarseVec(SNES snes, Vec *Xcoarse)
425: {
426:   SNES_FAS *fas;

428:   PetscFunctionBegin;
430:   PetscAssertPointer(Xcoarse, 2);
431:   fas = (SNES_FAS *)snes->data;
432:   if (fas->rscale) {
433:     PetscCall(VecDuplicate(fas->rscale, Xcoarse));
434:   } else if (fas->interpolate) {
435:     PetscCall(MatCreateVecs(fas->interpolate, Xcoarse, NULL));
436:   } else SETERRQ(PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONGSTATE, "Must set rscale or interpolation");
437:   PetscFunctionReturn(PETSC_SUCCESS);
438: }

440: /*@
441:   SNESFASRestrict - restrict a `Vec` to the next coarser level

443:   Collective

445:   Input Parameters:
446: + fine  - `SNES` from which to restrict
447: - Xfine - vector to restrict

449:   Output Parameter:
450: . Xcoarse - result of restriction

452:   Level: developer

454: .seealso: [](ch_snes), `SNES`, `SNESFAS`, `SNESFASSetRestriction()`, `SNESFASSetInjection()`, `SNESFASCreateCoarseVec()`
455: @*/
456: PetscErrorCode SNESFASRestrict(SNES fine, Vec Xfine, Vec Xcoarse)
457: {
458:   SNES_FAS *fas;

460:   PetscFunctionBegin;
464:   fas = (SNES_FAS *)fine->data;
465:   if (fas->inject) {
466:     PetscCall(MatRestrict(fas->inject, Xfine, Xcoarse));
467:   } else {
468:     PetscCall(MatRestrict(fas->restrct, Xfine, Xcoarse));
469:     PetscCall(VecPointwiseMult(Xcoarse, fas->rscale, Xcoarse));
470:   }
471:   PetscFunctionReturn(PETSC_SUCCESS);
472: }

474: /*
475: Performs a variant of FAS using the interpolated total coarse solution

477: fine problem:   F(x) = b
478: coarse problem: F^c(x^c) = Rb, Initial guess Rx
479: interpolated solution: x^f = I x^c (total solution interpolation
480:  */
481: static PetscErrorCode SNESFASInterpolatedCoarseSolution(SNES snes, Vec X, Vec X_new)
482: {
483:   Vec                 X_c, B_c;
484:   SNESConvergedReason reason;
485:   SNES                next;
486:   Mat                 restrct, interpolate;
487:   SNES_FAS           *fasc;

489:   PetscFunctionBegin;
490:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
491:   if (next) {
492:     fasc = (SNES_FAS *)next->data;

494:     PetscCall(SNESFASCycleGetRestriction(snes, &restrct));
495:     PetscCall(SNESFASCycleGetInterpolation(snes, &interpolate));

497:     X_c = next->vec_sol;

499:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventBegin(fasc->eventinterprestrict, snes, 0, 0, 0));
500:     /* restrict the total solution: Rb */
501:     PetscCall(SNESFASRestrict(snes, X, X_c));
502:     B_c = next->vec_rhs;
503:     if (snes->vec_rhs) {
504:       /* restrict the total rhs defect: Rb */
505:       PetscCall(MatRestrict(restrct, snes->vec_rhs, B_c));
506:     } else {
507:       PetscCall(VecSet(B_c, 0.));
508:     }
509:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventEnd(fasc->eventinterprestrict, snes, 0, 0, 0));

511:     PetscCall(SNESSolve(next, B_c, X_c));
512:     PetscCall(SNESGetConvergedReason(next, &reason));
513:     if (reason < 0 && reason != SNES_DIVERGED_MAX_IT) {
514:       snes->reason = SNES_DIVERGED_INNER;
515:       PetscFunctionReturn(PETSC_SUCCESS);
516:     }
517:     /* x^f <- Ix^c*/
518:     DM dmc, dmf;

520:     PetscCall(SNESGetDM(next, &dmc));
521:     PetscCall(SNESGetDM(snes, &dmf));
522:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventBegin(fasc->eventinterprestrict, snes, 0, 0, 0));
523:     PetscCall(DMInterpolateSolution(dmc, dmf, interpolate, X_c, X_new));
524:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventEnd(fasc->eventinterprestrict, snes, 0, 0, 0));
525:     PetscCall(PetscObjectSetName((PetscObject)X_c, "Coarse solution"));
526:     PetscCall(VecViewFromOptions(X_c, NULL, "-fas_coarse_solution_view"));
527:     PetscCall(PetscObjectSetName((PetscObject)X_new, "Updated Fine solution"));
528:     PetscCall(VecViewFromOptions(X_new, NULL, "-fas_levels_1_solution_view"));
529:   }
530:   PetscFunctionReturn(PETSC_SUCCESS);
531: }

533: /*
534: Performs the FAS coarse correction as:

536: fine problem:   F(x) = b
537: coarse problem: F^c(x^c) = b^c

539: b^c = F^c(Rx) - R(F(x) - b)
540:  */
541: static PetscErrorCode SNESFASCoarseCorrection(SNES snes, Vec X, Vec F, Vec X_new)
542: {
543:   Vec                 X_c, Xo_c, F_c, B_c;
544:   SNESConvergedReason reason;
545:   SNES                next;
546:   Mat                 restrct, interpolate;
547:   SNES_FAS           *fasc;

549:   PetscFunctionBegin;
550:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
551:   if (next) {
552:     fasc = (SNES_FAS *)next->data;

554:     PetscCall(SNESFASCycleGetRestriction(snes, &restrct));
555:     PetscCall(SNESFASCycleGetInterpolation(snes, &interpolate));

557:     X_c  = next->vec_sol;
558:     Xo_c = next->work[0];
559:     F_c  = next->vec_func;
560:     B_c  = next->vec_rhs;

562:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventBegin(fasc->eventinterprestrict, snes, 0, 0, 0));
563:     PetscCall(SNESFASRestrict(snes, X, Xo_c));
564:     /* restrict the defect: R(F(x) - b) */
565:     PetscCall(MatRestrict(restrct, F, B_c));
566:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventEnd(fasc->eventinterprestrict, snes, 0, 0, 0));

568:     if (fasc->eventresidual) PetscCall(PetscLogEventBegin(fasc->eventresidual, next, 0, 0, 0));
569:     /* F_c = F^c(Rx) - R(F(x) - b) since the second term was sitting in next->vec_rhs */
570:     PetscCall(SNESComputeFunction(next, Xo_c, F_c));
571:     if (fasc->eventresidual) PetscCall(PetscLogEventEnd(fasc->eventresidual, next, 0, 0, 0));

573:     /* solve the coarse problem corresponding to F^c(x^c) = b^c = F^c(Rx) - R(F(x) - b) */
574:     PetscCall(VecCopy(B_c, X_c));
575:     PetscCall(VecCopy(F_c, B_c));
576:     PetscCall(VecCopy(X_c, F_c));
577:     /* set initial guess of the coarse problem to the projected fine solution */
578:     PetscCall(VecCopy(Xo_c, X_c));

580:     /* recurse to the next level */
581:     PetscCall(SNESSetInitialFunction(next, F_c));
582:     PetscCall(SNESSolve(next, B_c, X_c));
583:     PetscCall(SNESGetConvergedReason(next, &reason));
584:     if (reason < 0 && reason != SNES_DIVERGED_MAX_IT) {
585:       snes->reason = SNES_DIVERGED_INNER;
586:       PetscFunctionReturn(PETSC_SUCCESS);
587:     }
588:     /* correct as x <- x + I(x^c - Rx)*/
589:     PetscCall(VecAXPY(X_c, -1.0, Xo_c));

591:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventBegin(fasc->eventinterprestrict, snes, 0, 0, 0));
592:     PetscCall(MatInterpolateAdd(interpolate, X_c, X, X_new));
593:     if (fasc->eventinterprestrict) PetscCall(PetscLogEventEnd(fasc->eventinterprestrict, snes, 0, 0, 0));
594:     PetscCall(PetscObjectSetName((PetscObject)X_c, "Coarse correction"));
595:     PetscCall(VecViewFromOptions(X_c, NULL, "-fas_coarse_solution_view"));
596:     PetscCall(PetscObjectSetName((PetscObject)X_new, "Updated Fine solution"));
597:     PetscCall(VecViewFromOptions(X_new, NULL, "-fas_levels_1_solution_view"));
598:   }
599:   PetscFunctionReturn(PETSC_SUCCESS);
600: }

602: /*
603: The additive cycle is:

605: xhat = x
606: xhat = dS(x, b)
607: x = coarsecorrection(xhat, b_d)
608: x = x + nu*(xhat - x);
609: (optional) x = uS(x, b)

611: With the coarse RHS (defect correction) as below.
612:  */
613: static PetscErrorCode SNESFASCycle_Additive(SNES snes, Vec X)
614: {
615:   Vec                  F, B, Xhat;
616:   Vec                  X_c, Xo_c, F_c, B_c;
617:   SNESConvergedReason  reason;
618:   PetscReal            xnorm, fnorm, ynorm;
619:   SNESLineSearchReason lsresult;
620:   SNES                 next;
621:   Mat                  restrct, interpolate;
622:   SNES_FAS            *fas = (SNES_FAS *)snes->data, *fasc;

624:   PetscFunctionBegin;
625:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
626:   F    = snes->vec_func;
627:   B    = snes->vec_rhs;
628:   Xhat = snes->work[1];
629:   PetscCall(VecCopy(X, Xhat));
630:   /* recurse first */
631:   if (next) {
632:     fasc = (SNES_FAS *)next->data;
633:     PetscCall(SNESFASCycleGetRestriction(snes, &restrct));
634:     PetscCall(SNESFASCycleGetInterpolation(snes, &interpolate));
635:     if (fas->eventresidual) PetscCall(PetscLogEventBegin(fas->eventresidual, snes, 0, 0, 0));
636:     PetscCall(SNESComputeFunction(snes, Xhat, F));
637:     if (fas->eventresidual) PetscCall(PetscLogEventEnd(fas->eventresidual, snes, 0, 0, 0));
638:     PetscCall(VecNorm(F, NORM_2, &fnorm));
639:     X_c  = next->vec_sol;
640:     Xo_c = next->work[0];
641:     F_c  = next->vec_func;
642:     B_c  = next->vec_rhs;

644:     PetscCall(SNESFASRestrict(snes, Xhat, Xo_c));
645:     /* restrict the defect */
646:     PetscCall(MatRestrict(restrct, F, B_c));

648:     /* solve the coarse problem corresponding to F^c(x^c) = b^c = Rb + F^c(Rx) - RF(x) */
649:     if (fasc->eventresidual) PetscCall(PetscLogEventBegin(fasc->eventresidual, next, 0, 0, 0));
650:     PetscCall(SNESComputeFunction(next, Xo_c, F_c));
651:     if (fasc->eventresidual) PetscCall(PetscLogEventEnd(fasc->eventresidual, next, 0, 0, 0));
652:     PetscCall(VecCopy(B_c, X_c));
653:     PetscCall(VecCopy(F_c, B_c));
654:     PetscCall(VecCopy(X_c, F_c));
655:     /* set initial guess of the coarse problem to the projected fine solution */
656:     PetscCall(VecCopy(Xo_c, X_c));

658:     /* recurse */
659:     PetscCall(SNESSetInitialFunction(next, F_c));
660:     PetscCall(SNESSolve(next, B_c, X_c));

662:     /* smooth on this level */
663:     PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &fnorm));

665:     PetscCall(SNESGetConvergedReason(next, &reason));
666:     if (reason < 0 && reason != SNES_DIVERGED_MAX_IT) {
667:       snes->reason = SNES_DIVERGED_INNER;
668:       PetscFunctionReturn(PETSC_SUCCESS);
669:     }

671:     /* correct as x <- x + I(x^c - Rx)*/
672:     PetscCall(VecAYPX(X_c, -1.0, Xo_c));
673:     PetscCall(MatInterpolate(interpolate, X_c, Xhat));

675:     /* additive correction of the coarse direction*/
676:     PetscCall(SNESLineSearchApply(snes->linesearch, X, F, &fnorm, Xhat));
677:     PetscCall(SNESLineSearchGetReason(snes->linesearch, &lsresult));
678:     PetscCall(SNESLineSearchGetNorms(snes->linesearch, &xnorm, &snes->norm, &ynorm));
679:     if (lsresult) {
680:       if (++snes->numFailures >= snes->maxFailures) {
681:         snes->reason = SNES_DIVERGED_LINE_SEARCH;
682:         PetscFunctionReturn(PETSC_SUCCESS);
683:       }
684:     }
685:   } else {
686:     PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
687:   }
688:   PetscFunctionReturn(PETSC_SUCCESS);
689: }

691: /*
692: Defines the FAS cycle as:

694: fine problem: F(x) = b
695: coarse problem: F^c(x) = b^c

697: b^c = F^c(Rx) - R(F(x) - b)

699: correction:

701: x = x + I(x^c - Rx)
702:  */
703: static PetscErrorCode SNESFASCycle_Multiplicative(SNES snes, Vec X)
704: {
705:   Vec  F, B;
706:   SNES next;

708:   PetscFunctionBegin;
709:   F = snes->vec_func;
710:   B = snes->vec_rhs;
711:   /* pre-smooth -- just update using the pre-smoother */
712:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
713:   PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
714:   if (next) {
715:     PetscCall(SNESFASCoarseCorrection(snes, X, F, X));
716:     PetscCall(SNESFASUpSmooth_Private(snes, B, X, F, &snes->norm));
717:   }
718:   PetscFunctionReturn(PETSC_SUCCESS);
719: }

721: static PetscErrorCode SNESFASCycleSetupPhase_Full(SNES snes)
722: {
723:   SNES      next;
724:   SNES_FAS *fas = (SNES_FAS *)snes->data;
725:   PetscBool isFine;

727:   PetscFunctionBegin;
728:   /* pre-smooth -- just update using the pre-smoother */
729:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
730:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
731:   fas->full_stage = 0;
732:   if (next) PetscCall(SNESFASCycleSetupPhase_Full(next));
733:   PetscFunctionReturn(PETSC_SUCCESS);
734: }

736: static PetscErrorCode SNESFASCycle_Full(SNES snes, Vec X)
737: {
738:   Vec       F, B;
739:   SNES_FAS *fas = (SNES_FAS *)snes->data;
740:   PetscBool isFine;
741:   SNES      next;

743:   PetscFunctionBegin;
744:   F = snes->vec_func;
745:   B = snes->vec_rhs;
746:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
747:   PetscCall(SNESFASCycleGetCorrection(snes, &next));

749:   if (isFine) PetscCall(SNESFASCycleSetupPhase_Full(snes));

751:   if (fas->full_stage == 0) {
752:     /* downsweep */
753:     if (next) {
754:       if (fas->level != 1) next->max_its += 1;
755:       if (fas->full_downsweep) PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
756:       fas->full_downsweep = PETSC_TRUE;
757:       if (fas->full_total) PetscCall(SNESFASInterpolatedCoarseSolution(snes, X, X));
758:       else PetscCall(SNESFASCoarseCorrection(snes, X, F, X));
759:       fas->full_total = PETSC_FALSE;
760:       PetscCall(SNESFASUpSmooth_Private(snes, B, X, F, &snes->norm));
761:       if (fas->level != 1) next->max_its -= 1;
762:     } else {
763:       /* The smoother on the coarse level is the coarse solver */
764:       PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
765:     }
766:     fas->full_stage = 1;
767:   } else if (fas->full_stage == 1) {
768:     if (snes->iter == 0) PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
769:     if (next) {
770:       PetscCall(SNESFASCoarseCorrection(snes, X, F, X));
771:       PetscCall(SNESFASUpSmooth_Private(snes, B, X, F, &snes->norm));
772:     }
773:   }
774:   /* final v-cycle */
775:   if (isFine) {
776:     if (next) {
777:       PetscCall(SNESFASCoarseCorrection(snes, X, F, X));
778:       PetscCall(SNESFASUpSmooth_Private(snes, B, X, F, &snes->norm));
779:     }
780:   }
781:   PetscFunctionReturn(PETSC_SUCCESS);
782: }

784: static PetscErrorCode SNESFASCycle_Kaskade(SNES snes, Vec X)
785: {
786:   Vec  F, B;
787:   SNES next;

789:   PetscFunctionBegin;
790:   F = snes->vec_func;
791:   B = snes->vec_rhs;
792:   PetscCall(SNESFASCycleGetCorrection(snes, &next));
793:   if (next) {
794:     PetscCall(SNESFASCoarseCorrection(snes, X, F, X));
795:     PetscCall(SNESFASUpSmooth_Private(snes, B, X, F, &snes->norm));
796:   } else {
797:     PetscCall(SNESFASDownSmooth_Private(snes, B, X, F, &snes->norm));
798:   }
799:   PetscFunctionReturn(PETSC_SUCCESS);
800: }

802: PetscBool  SNEScite       = PETSC_FALSE;
803: const char SNESCitation[] = "@Article{bruneknepleysmithtu15,"
804:                             "  title         = {Composing Scalable Nonlinear Algebraic Solvers},"
805:                             "  author        = {Peter R. Brune and Matthew G. Knepley and Barry F. Smith and Xuemin Tu},"
806:                             "  journal       = {SIAM Review},"
807:                             "  volume        = {57},"
808:                             "  number        = {4},"
809:                             "  pages         = {535--565},"
810:                             "  doi           = {10.1137/130936725},"
811:                             "  year          = {2015}\n";

813: static PetscErrorCode SNESSolve_FAS(SNES snes)
814: {
815:   PetscInt  i;
816:   Vec       X, F;
817:   PetscReal fnorm;
818:   SNES_FAS *fas = (SNES_FAS *)snes->data, *ffas;
819:   DM        dm;
820:   PetscBool isFine;

822:   PetscFunctionBegin;
823:   PetscCheck(!snes->xl && !snes->xu && !snes->ops->computevariablebounds, PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONGSTATE, "SNES solver %s does not support bounds", ((PetscObject)snes)->type_name);

825:   PetscCall(PetscCitationsRegister(SNESCitation, &SNEScite));
826:   snes->reason = SNES_CONVERGED_ITERATING;
827:   X            = snes->vec_sol;
828:   F            = snes->vec_func;

830:   PetscCall(SNESFASCycleIsFine(snes, &isFine));
831:   /* norm setup */
832:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
833:   snes->iter = 0;
834:   snes->norm = 0;
835:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
836:   if (!snes->vec_func_init_set) {
837:     if (fas->eventresidual) PetscCall(PetscLogEventBegin(fas->eventresidual, snes, 0, 0, 0));
838:     PetscCall(SNESComputeFunction(snes, X, F));
839:     if (fas->eventresidual) PetscCall(PetscLogEventEnd(fas->eventresidual, snes, 0, 0, 0));
840:   } else snes->vec_func_init_set = PETSC_FALSE;

842:   PetscCall(VecNorm(F, NORM_2, &fnorm)); /* fnorm <- ||F||  */
843:   SNESCheckFunctionNorm(snes, fnorm);
844:   PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
845:   snes->norm = fnorm;
846:   PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
847:   PetscCall(SNESLogConvergenceHistory(snes, fnorm, 0));

849:   /* test convergence */
850:   PetscCall(SNESConverged(snes, 0, 0.0, 0.0, fnorm));
851:   PetscCall(SNESMonitor(snes, snes->iter, fnorm));
852:   if (snes->reason) PetscFunctionReturn(PETSC_SUCCESS);

854:   if (isFine) {
855:     /* propagate scale-dependent data up the hierarchy */
856:     PetscCall(SNESGetDM(snes, &dm));
857:     for (ffas = fas; ffas->next; ffas = (SNES_FAS *)ffas->next->data) {
858:       DM dmcoarse;
859:       PetscCall(SNESGetDM(ffas->next, &dmcoarse));
860:       PetscCall(DMRestrict(dm, ffas->restrct, ffas->rscale, ffas->inject, dmcoarse));
861:       dm = dmcoarse;
862:     }
863:   }

865:   for (i = 0; i < snes->max_its; i++) {
866:     /* Call general purpose update function */
867:     PetscTryTypeMethod(snes, update, snes->iter);

869:     if (fas->fastype == SNES_FAS_MULTIPLICATIVE) {
870:       PetscCall(SNESFASCycle_Multiplicative(snes, X));
871:     } else if (fas->fastype == SNES_FAS_ADDITIVE) {
872:       PetscCall(SNESFASCycle_Additive(snes, X));
873:     } else if (fas->fastype == SNES_FAS_FULL) {
874:       PetscCall(SNESFASCycle_Full(snes, X));
875:     } else if (fas->fastype == SNES_FAS_KASKADE) {
876:       PetscCall(SNESFASCycle_Kaskade(snes, X));
877:     } else SETERRQ(PetscObjectComm((PetscObject)snes), PETSC_ERR_ARG_WRONGSTATE, "Unsupported FAS type");

879:     /* check for FAS cycle divergence */
880:     if (snes->reason != SNES_CONVERGED_ITERATING) PetscFunctionReturn(PETSC_SUCCESS);

882:     /* Monitor convergence */
883:     PetscCall(PetscObjectSAWsTakeAccess((PetscObject)snes));
884:     snes->iter = i + 1;
885:     PetscCall(PetscObjectSAWsGrantAccess((PetscObject)snes));
886:     PetscCall(SNESLogConvergenceHistory(snes, snes->norm, 0));
887:     PetscCall(SNESConverged(snes, snes->iter, 0.0, 0.0, snes->norm));
888:     PetscCall(SNESMonitor(snes, snes->iter, snes->norm));
889:     if (snes->reason) break;
890:   }
891:   PetscFunctionReturn(PETSC_SUCCESS);
892: }

894: /*MC
895:    SNESFAS - Full Approximation Scheme nonlinear multigrid solver {cite}`bruneknepleysmithtu15`.

897:    The nonlinear problem is solved by correction using coarse versions
898:    of the nonlinear problem.  This problem is perturbed so that a projected
899:    solution of the fine problem elicits no correction from the coarse problem.

901:    Options Database Keys and Prefixes:
902: +   -snes_fas_levels <l>                                  - The number of levels
903: .   -snes_fas_cycles <c>                                  - The number of cycles -- 1 for V, 2 for W
904: .   -snes_fas_type<additive,multiplicative,full,kaskade>  - Additive or multiplicative cycle
905: .   -snes_fas_galerkin <false,true>                       - Form coarse problems by projection back upon the fine problem
906: .   -snes_fas_smoothup <u>                                - The number of iterations of the post-smoother
907: .   -snes_fas_smoothdown <d>                              - The number of iterations of the pre-smoother
908: .   -snes_fas_monitor                                     - Monitor progress of all of the levels
909: .   -snes_fas_full_downsweep <false,true>                 - call the downsmooth on the initial downsweep of full FAS
910: .   -fas_levels_snes_                                     - prefix for `SNES` options for all smoothers
911: .   -fas_levels_cycle_snes_                               - prefix for `SNES` options for all cycles
912: .   -fas_levels_i_snes_                                   - prefix `SNES` options for the smoothers on level i
913: .   -fas_levels_i_cycle_snes_                             - prefix for `SNES` options for the cycle on level i
914: -   -fas_coarse_snes_                                     - prefix for `SNES` options for the coarsest smoother

916:    Level: beginner

918:    Note:
919:    The organization of the FAS solver is slightly different from the organization of `PCMG`
920:    As each level has smoother `SNES` instances(down and potentially up) and a cycle `SNES` instance.
921:    The cycle `SNES` instance may be used for monitoring convergence on a particular level.

923: .seealso: [](ch_snes), `PCMG`, `SNESCreate()`, `SNES`, `SNESSetType()`, `SNESType`, `SNESFASSetRestriction()`, `SNESFASSetInjection()`,
924:           `SNESFASFullGetTotal()`, `SNESFASSetType()`, `SNESFASGetType()`, `SNESFASSetLevels()`, `SNESFASGetLevels()`, `SNESFASGetCycleSNES()`,
925:           `SNESFASSetNumberSmoothUp()`, `SNESFASSetNumberSmoothDown()`, `SNESFASSetContinuation()`, `SNESFASSetCycles()`, `SNESFASSetMonitor()`,
926:           `SNESFASSetLog()`, `SNESFASCycleSetCycles()`, `SNESFASCycleGetSmoother()`, `SNESFASCycleGetSmootherUp()`, `SNESFASCycleGetSmootherDown()`,
927:           `SNESFASCycleGetCorrection()`, `SNESFASCycleGetInterpolation()`, `SNESFASCycleGetRestriction()`, `SNESFASCycleGetInjection()`,
928:           `SNESFASCycleGetRScale()`, `SNESFASCycleIsFine()`, `SNESFASSetInterpolation()`, `SNESFASGetInterpolation()`, `SNESFASSetRestriction()`,
929:           `SNESFASGetRestriction()`, `SNESFASSetInjection()`, `SNESFASGetInjection()`, `SNESFASSetRScale()`,`SNESFASGetSmoother()`,
930:           `SNESFASGetSmootherDown()`, `SNESFASGetSmootherUp()`, `SNESFASGetCoarseSolve()`, `SNESFASFullSetDownSweep()`, `SNESFASFullSetTotal()`, `SNESFASFullGetTotal()`
931: M*/

933: PETSC_EXTERN PetscErrorCode SNESCreate_FAS(SNES snes)
934: {
935:   SNES_FAS *fas;

937:   PetscFunctionBegin;
938:   snes->ops->destroy        = SNESDestroy_FAS;
939:   snes->ops->setup          = SNESSetUp_FAS;
940:   snes->ops->setfromoptions = SNESSetFromOptions_FAS;
941:   snes->ops->view           = SNESView_FAS;
942:   snes->ops->solve          = SNESSolve_FAS;
943:   snes->ops->reset          = SNESReset_FAS;

945:   snes->usesksp = PETSC_FALSE;
946:   snes->usesnpc = PETSC_FALSE;

948:   PetscCall(SNESParametersInitialize(snes));
949:   PetscObjectParameterSetDefault(snes, max_funcs, 30000);
950:   PetscObjectParameterSetDefault(snes, max_its, 10000);

952:   snes->alwayscomputesfinalresidual = PETSC_TRUE;

954:   PetscCall(PetscNew(&fas));

956:   snes->data                  = (void *)fas;
957:   fas->level                  = 0;
958:   fas->levels                 = 1;
959:   fas->n_cycles               = 1;
960:   fas->max_up_it              = 1;
961:   fas->max_down_it            = 1;
962:   fas->smoothu                = NULL;
963:   fas->smoothd                = NULL;
964:   fas->next                   = NULL;
965:   fas->previous               = NULL;
966:   fas->fine                   = snes;
967:   fas->interpolate            = NULL;
968:   fas->restrct                = NULL;
969:   fas->inject                 = NULL;
970:   fas->usedmfornumberoflevels = PETSC_FALSE;
971:   fas->fastype                = SNES_FAS_MULTIPLICATIVE;
972:   fas->full_downsweep         = PETSC_FALSE;
973:   fas->full_total             = PETSC_FALSE;

975:   fas->eventsmoothsetup    = 0;
976:   fas->eventsmoothsolve    = 0;
977:   fas->eventresidual       = 0;
978:   fas->eventinterprestrict = 0;
979:   PetscFunctionReturn(PETSC_SUCCESS);
980: }