Actual source code: plexfem.c

petsc-3.7.3 2016-07-24
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  1: #include <petsc/private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
  2: #include <petscsf.h>

  4: #include <petsc/private/petscfeimpl.h>
  5: #include <petsc/private/petscfvimpl.h>

  9: PetscErrorCode DMPlexGetScale(DM dm, PetscUnit unit, PetscReal *scale)
 10: {
 11:   DM_Plex *mesh = (DM_Plex*) dm->data;

 16:   *scale = mesh->scale[unit];
 17:   return(0);
 18: }

 22: PetscErrorCode DMPlexSetScale(DM dm, PetscUnit unit, PetscReal scale)
 23: {
 24:   DM_Plex *mesh = (DM_Plex*) dm->data;

 28:   mesh->scale[unit] = scale;
 29:   return(0);
 30: }

 32: PETSC_STATIC_INLINE PetscInt epsilon(PetscInt i, PetscInt j, PetscInt k)
 33: {
 34:   switch (i) {
 35:   case 0:
 36:     switch (j) {
 37:     case 0: return 0;
 38:     case 1:
 39:       switch (k) {
 40:       case 0: return 0;
 41:       case 1: return 0;
 42:       case 2: return 1;
 43:       }
 44:     case 2:
 45:       switch (k) {
 46:       case 0: return 0;
 47:       case 1: return -1;
 48:       case 2: return 0;
 49:       }
 50:     }
 51:   case 1:
 52:     switch (j) {
 53:     case 0:
 54:       switch (k) {
 55:       case 0: return 0;
 56:       case 1: return 0;
 57:       case 2: return -1;
 58:       }
 59:     case 1: return 0;
 60:     case 2:
 61:       switch (k) {
 62:       case 0: return 1;
 63:       case 1: return 0;
 64:       case 2: return 0;
 65:       }
 66:     }
 67:   case 2:
 68:     switch (j) {
 69:     case 0:
 70:       switch (k) {
 71:       case 0: return 0;
 72:       case 1: return 1;
 73:       case 2: return 0;
 74:       }
 75:     case 1:
 76:       switch (k) {
 77:       case 0: return -1;
 78:       case 1: return 0;
 79:       case 2: return 0;
 80:       }
 81:     case 2: return 0;
 82:     }
 83:   }
 84:   return 0;
 85: }

 89: static PetscErrorCode DMPlexProjectRigidBody(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nf, PetscScalar *mode, void *ctx)
 90: {
 91:   PetscInt *ctxInt  = (PetscInt *) ctx;
 92:   PetscInt  dim2    = ctxInt[0];
 93:   PetscInt  d       = ctxInt[1];
 94:   PetscInt  i, j, k = dim > 2 ? d - dim : d;

 97:   if (dim != dim2) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Input dimension %d does not match context dimension %d", dim, dim2);
 98:   for (i = 0; i < dim; i++) mode[i] = 0.;
 99:   if (d < dim) {
100:     mode[d] = 1.;
101:   } else {
102:     for (i = 0; i < dim; i++) {
103:       for (j = 0; j < dim; j++) {
104:         mode[j] += epsilon(i, j, k)*X[i];
105:       }
106:     }
107:   }
108:   return(0);
109: }

113: /*@C
114:   DMPlexCreateRigidBody - for the default global section, create rigid body modes from coordinates

116:   Collective on DM

118:   Input Arguments:
119: . dm - the DM

121:   Output Argument:
122: . sp - the null space

124:   Note: This is necessary to take account of Dirichlet conditions on the displacements

126:   Level: advanced

128: .seealso: MatNullSpaceCreate()
129: @*/
130: PetscErrorCode DMPlexCreateRigidBody(DM dm, MatNullSpace *sp)
131: {
132:   MPI_Comm       comm;
133:   Vec            mode[6];
134:   PetscSection   section, globalSection;
135:   PetscInt       dim, dimEmbed, n, m, d, i, j;

139:   PetscObjectGetComm((PetscObject)dm,&comm);
140:   DMGetDimension(dm, &dim);
141:   DMGetCoordinateDim(dm, &dimEmbed);
142:   if (dim == 1) {
143:     MatNullSpaceCreate(comm, PETSC_TRUE, 0, NULL, sp);
144:     return(0);
145:   }
146:   DMGetDefaultSection(dm, &section);
147:   DMGetDefaultGlobalSection(dm, &globalSection);
148:   PetscSectionGetConstrainedStorageSize(globalSection, &n);
149:   m    = (dim*(dim+1))/2;
150:   VecCreate(comm, &mode[0]);
151:   VecSetSizes(mode[0], n, PETSC_DETERMINE);
152:   VecSetUp(mode[0]);
153:   for (i = 1; i < m; ++i) {VecDuplicate(mode[0], &mode[i]);}
154:   for (d = 0; d < m; d++) {
155:     PetscInt ctx[2];
156:     void    *voidctx = (void *) (&ctx[0]);
157:     PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *) = DMPlexProjectRigidBody;

159:     ctx[0] = dimEmbed;
160:     ctx[1] = d;
161:     DMProjectFunction(dm, 0.0, &func, &voidctx, INSERT_VALUES, mode[d]);
162:   }
163:   for (i = 0; i < dim; ++i) {VecNormalize(mode[i], NULL);}
164:   /* Orthonormalize system */
165:   for (i = dim; i < m; ++i) {
166:     PetscScalar dots[6];

168:     VecMDot(mode[i], i, mode, dots);
169:     for (j = 0; j < i; ++j) dots[j] *= -1.0;
170:     VecMAXPY(mode[i], i, dots, mode);
171:     VecNormalize(mode[i], NULL);
172:   }
173:   MatNullSpaceCreate(comm, PETSC_FALSE, m, mode, sp);
174:   for (i = 0; i< m; ++i) {VecDestroy(&mode[i]);}
175:   return(0);
176: }

180: /*@
181:   DMPlexSetMaxProjectionHeight - In DMPlexProjectXXXLocal() functions, the projected values of a basis function's dofs
182:   are computed by associating the basis function with one of the mesh points in its transitively-closed support, and
183:   evaluating the dual space basis of that point.  A basis function is associated with the point in its
184:   transitively-closed support whose mesh height is highest (w.r.t. DAG height), but not greater than the maximum
185:   projection height, which is set with this function.  By default, the maximum projection height is zero, which means
186:   that only mesh cells are used to project basis functions.  A height of one, for example, evaluates a cell-interior
187:   basis functions using its cells dual space basis, but all other basis functions with the dual space basis of a face.

189:   Input Parameters:
190: + dm - the DMPlex object
191: - height - the maximum projection height >= 0

193:   Level: advanced

195: .seealso: DMPlexGetMaxProjectionHeight(), DMProjectFunctionLocal(), DMProjectFunctionLabelLocal()
196: @*/
197: PetscErrorCode DMPlexSetMaxProjectionHeight(DM dm, PetscInt height)
198: {
199:   DM_Plex *plex = (DM_Plex *) dm->data;

203:   plex->maxProjectionHeight = height;
204:   return(0);
205: }

209: /*@
210:   DMPlexGetMaxProjectionHeight - Get the maximum height (w.r.t. DAG) of mesh points used to evaluate dual bases in
211:   DMPlexProjectXXXLocal() functions.

213:   Input Parameters:
214: . dm - the DMPlex object

216:   Output Parameters:
217: . height - the maximum projection height

219:   Level: intermediate

221: .seealso: DMPlexSetMaxProjectionHeight(), DMProjectFunctionLocal(), DMProjectFunctionLabelLocal()
222: @*/
223: PetscErrorCode DMPlexGetMaxProjectionHeight(DM dm, PetscInt *height)
224: {
225:   DM_Plex *plex = (DM_Plex *) dm->data;

229:   *height = plex->maxProjectionHeight;
230:   return(0);
231: }

235: PetscErrorCode DMProjectFunctionLabelLocal_Plex(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, InsertMode mode, Vec localX)
236: {
237:   PetscDualSpace *sp, *cellsp;
238:   PetscInt       *numComp;
239:   PetscSection    section;
240:   PetscScalar    *values;
241:   PetscBool      *fieldActive;
242:   PetscInt        numFields, dim, dimEmbed, spDim, totDim = 0, numValues, pStart, pEnd, cStart, cEnd, cEndInterior, f, d, v, i, comp, maxHeight, h;
243:   PetscErrorCode  ierr;

246:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
247:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
248:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
249:   if (cEnd <= cStart) return(0);
250:   DMGetDimension(dm, &dim);
251:   DMGetCoordinateDim(dm, &dimEmbed);
252:   DMGetDefaultSection(dm, &section);
253:   PetscSectionGetNumFields(section, &numFields);
254:   PetscMalloc2(numFields,&sp,numFields,&numComp);
255:   DMPlexGetMaxProjectionHeight(dm,&maxHeight);
256:   if (maxHeight < 0 || maxHeight > dim) {SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_USER,"maximum projection height %d not in [0, %d)\n", maxHeight,dim);}
257:   if (maxHeight > 0) {PetscMalloc1(numFields,&cellsp);}
258:   else               {cellsp = sp;}
259:   for (h = 0; h <= maxHeight; h++) {
260:     DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);
261:     if (!h) {pStart = cStart; pEnd = cEnd;}
262:     if (pEnd <= pStart) continue;
263:     totDim = 0;
264:     for (f = 0; f < numFields; ++f) {
265:       PetscObject  obj;
266:       PetscClassId id;

268:       DMGetField(dm, f, &obj);
269:       PetscObjectGetClassId(obj, &id);
270:       if (id == PETSCFE_CLASSID) {
271:         PetscFE fe = (PetscFE) obj;

273:         PetscFEGetNumComponents(fe, &numComp[f]);
274:         if (!h) {
275:           PetscFEGetDualSpace(fe, &cellsp[f]);
276:           sp[f] = cellsp[f];
277:         } else {
278:           PetscDualSpaceGetHeightSubspace(cellsp[f], h, &sp[f]);
279:           if (!sp[f]) continue;
280:         }
281:       } else if (id == PETSCFV_CLASSID) {
282:         PetscFV fv = (PetscFV) obj;

284:         PetscFVGetNumComponents(fv, &numComp[f]);
285:         PetscFVGetDualSpace(fv, &sp[f]);
286:         PetscObjectReference((PetscObject) sp[f]);
287:       } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
288:       PetscDualSpaceGetDimension(sp[f], &spDim);
289:       totDim += spDim*numComp[f];
290:     }
291:     DMPlexVecGetClosure(dm, section, localX, pStart, &numValues, NULL);
292:     if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section point closure size %d != dual space dimension %d", numValues, totDim);
293:     if (!totDim) continue;
294:     DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);
295:     DMGetWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);
296:     for (f = 0; f < numFields; ++f) fieldActive[f] = (funcs[f] && sp[f]) ? PETSC_TRUE : PETSC_FALSE;
297:     for (i = 0; i < numIds; ++i) {
298:       IS              pointIS;
299:       const PetscInt *points;
300:       PetscInt        n, p;

302:       DMLabelGetStratumIS(label, ids[i], &pointIS);
303:       if (!pointIS) continue; /* No points with that id on this process */
304:       ISGetLocalSize(pointIS, &n);
305:       ISGetIndices(pointIS, &points);
306:       for (p = 0; p < n; ++p) {
307:         const PetscInt    point = points[p];
308:         PetscFECellGeom   geom;

310:         if ((point < pStart) || (point >= pEnd)) continue;
311:         DMPlexComputeCellGeometryFEM(dm, point, NULL, geom.v0, geom.J, NULL, &geom.detJ);
312:         geom.dim      = dim - h;
313:         geom.dimEmbed = dimEmbed;
314:         for (f = 0, v = 0; f < numFields; ++f) {
315:           void * const ctx = ctxs ? ctxs[f] : NULL;

317:           if (!sp[f]) continue;
318:           PetscDualSpaceGetDimension(sp[f], &spDim);
319:           for (d = 0; d < spDim; ++d) {
320:             if (funcs[f]) {
321:               PetscDualSpaceApply(sp[f], d, time, &geom, numComp[f], funcs[f], ctx, &values[v]);
322:               if (ierr) {
323:                 PetscErrorCode ierr2;
324:                 ierr2 = DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr2);
325:                 ierr2 = DMRestoreWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);CHKERRQ(ierr2);
326: 
327:               }
328:             } else {
329:               for (comp = 0; comp < numComp[f]; ++comp) values[v+comp] = 0.0;
330:             }
331:             v += numComp[f];
332:           }
333:         }
334:         DMPlexVecSetFieldClosure_Internal(dm, section, localX, fieldActive, point, values, mode);
335:       }
336:       ISRestoreIndices(pointIS, &points);
337:       ISDestroy(&pointIS);
338:     }
339:     DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
340:     DMRestoreWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);
341:   }
342:   PetscFree2(sp, numComp);
343:   if (maxHeight > 0) {
344:     PetscFree(cellsp);
345:   }
346:   return(0);
347: }

351: PetscErrorCode DMProjectFunctionLocal_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, InsertMode mode, Vec localX)
352: {
353:   PetscDualSpace *sp, *cellsp;
354:   PetscInt       *numComp;
355:   PetscSection    section;
356:   PetscScalar    *values;
357:   PetscInt        Nf, dim, dimEmbed, spDim, totDim = 0, numValues, pStart, pEnd, p, cStart, cEnd, cEndInterior, f, d, v, comp, h, maxHeight;
358:   PetscBool      *isFE, hasFE = PETSC_FALSE, hasFV = PETSC_FALSE;
359:   PetscErrorCode  ierr;

362:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
363:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
364:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
365:   DMGetDefaultSection(dm, &section);
366:   PetscSectionGetNumFields(section, &Nf);
367:   PetscMalloc3(Nf, &isFE, Nf, &sp, Nf, &numComp);
368:   DMGetDimension(dm, &dim);
369:   DMGetCoordinateDim(dm, &dimEmbed);
370:   DMPlexGetMaxProjectionHeight(dm,&maxHeight);
371:   if (maxHeight < 0 || maxHeight > dim) {SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_USER,"maximum projection height %d not in [0, %d)\n", maxHeight,dim);}
372:   if (maxHeight > 0) {
373:     PetscMalloc1(Nf,&cellsp);
374:   }
375:   else {
376:     cellsp = sp;
377:   }
378:   for (f = 0; f < Nf; ++f) {
379:     PetscObject  obj;
380:     PetscClassId id;

382:     DMGetField(dm, f, &obj);
383:     PetscObjectGetClassId(obj, &id);
384:     if (id == PETSCFE_CLASSID) {
385:       PetscFE fe = (PetscFE) obj;

387:       hasFE   = PETSC_TRUE;
388:       isFE[f] = PETSC_TRUE;
389:       PetscFEGetNumComponents(fe, &numComp[f]);
390:       PetscFEGetDualSpace(fe, &cellsp[f]);
391:     } else if (id == PETSCFV_CLASSID) {
392:       PetscFV fv = (PetscFV) obj;

394:       hasFV   = PETSC_TRUE;
395:       isFE[f] = PETSC_FALSE;
396:       PetscFVGetNumComponents(fv, &numComp[f]);
397:       PetscFVGetDualSpace(fv, &cellsp[f]);
398:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
399:   }
400:   for (h = 0; h <= maxHeight; h++) {
401:     DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);
402:     if (!h) {pStart = cStart; pEnd = cEnd;}
403:     if (pEnd <= pStart) continue;
404:     totDim = 0;
405:     for (f = 0; f < Nf; ++f) {
406:       if (!h) {
407:         sp[f] = cellsp[f];
408:       }
409:       else {
410:         PetscDualSpaceGetHeightSubspace(cellsp[f], h, &sp[f]);
411:         if (!sp[f]) {
412:           continue;
413:         }
414:       }
415:       PetscDualSpaceGetDimension(sp[f], &spDim);
416:       totDim += spDim*numComp[f];
417:     }
418:     DMPlexVecGetClosure(dm, section, localX, pStart, &numValues, NULL);
419:     if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section point closure size %d != dual space dimension %d", numValues, totDim);
420:     if (!totDim) continue;
421:     DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);
422:     for (p = pStart; p < pEnd; ++p) {
423:       PetscFECellGeom fegeom;
424:       PetscFVCellGeom fvgeom;

426:       if (hasFE) {
427:         DMPlexComputeCellGeometryFEM(dm, p, NULL, fegeom.v0, fegeom.J, NULL, &fegeom.detJ);
428:         fegeom.dim      = dim - h;
429:         fegeom.dimEmbed = dimEmbed;
430:       }
431:       if (hasFV) {DMPlexComputeCellGeometryFVM(dm, p, &fvgeom.volume, fvgeom.centroid, NULL);}
432:       for (f = 0, v = 0; f < Nf; ++f) {
433:         void * const ctx = ctxs ? ctxs[f] : NULL;

435:         if (!sp[f]) continue;
436:         PetscDualSpaceGetDimension(sp[f], &spDim);
437:         for (d = 0; d < spDim; ++d) {
438:           if (funcs[f]) {
439:             if (isFE[f]) {PetscDualSpaceApply(sp[f], d, time, &fegeom, numComp[f], funcs[f], ctx, &values[v]);}
440:             else         {PetscDualSpaceApplyFVM(sp[f], d, time, &fvgeom, numComp[f], funcs[f], ctx, &values[v]);}
441:             if (ierr) {
442:               PetscErrorCode ierr2;
443:               ierr2 = DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr2);
444: 
445:             }
446:           } else {
447:             for (comp = 0; comp < numComp[f]; ++comp) values[v+comp] = 0.0;
448:           }
449:           v += numComp[f];
450:         }
451:       }
452:       DMPlexVecSetClosure(dm, section, localX, p, values, mode);
453:     }
454:     DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
455:   }
456:   PetscFree3(isFE, sp, numComp);
457:   if (maxHeight > 0) {
458:     PetscFree(cellsp);
459:   }
460:   return(0);
461: }

465: PetscErrorCode DMProjectFieldLocal_Plex(DM dm, Vec localU,
466:                                         void (**funcs)(PetscInt, PetscInt, PetscInt,
467:                                                        const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
468:                                                        const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
469:                                                        PetscReal, const PetscReal[], PetscScalar[]),
470:                                         InsertMode mode, Vec localX)
471: {
472:   DM              dmAux;
473:   PetscDS         prob, probAux = NULL;
474:   Vec             A;
475:   PetscSection    section, sectionAux = NULL;
476:   PetscDualSpace *sp;
477:   PetscInt       *Ncf;
478:   PetscScalar    *values, *u, *u_x, *a, *a_x;
479:   PetscReal      *x, *v0, *J, *invJ, detJ;
480:   PetscInt       *uOff, *uOff_x, *aOff = NULL, *aOff_x = NULL;
481:   PetscInt        Nf, NfAux = 0, dim, spDim, totDim, numValues, cStart, cEnd, cEndInterior, c, f, d, v, comp, maxHeight;
482:   PetscErrorCode  ierr;

485:   DMPlexGetMaxProjectionHeight(dm,&maxHeight);
486:   if (maxHeight > 0) {SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Field projection for height > 0 not supported yet");}
487:   DMGetDS(dm, &prob);
488:   DMGetDimension(dm, &dim);
489:   DMGetDefaultSection(dm, &section);
490:   PetscSectionGetNumFields(section, &Nf);
491:   PetscMalloc2(Nf, &sp, Nf, &Ncf);
492:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
493:   PetscDSGetTotalDimension(prob, &totDim);
494:   PetscDSGetComponentOffsets(prob, &uOff);
495:   PetscDSGetComponentDerivativeOffsets(prob, &uOff_x);
496:   PetscDSGetEvaluationArrays(prob, &u, NULL, &u_x);
497:   PetscDSGetRefCoordArrays(prob, &x, NULL);
498:   PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);
499:   PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);
500:   if (dmAux) {
501:     DMGetDS(dmAux, &probAux);
502:     PetscDSGetNumFields(probAux, &NfAux);
503:     DMGetDefaultSection(dmAux, &sectionAux);
504:     PetscDSGetComponentOffsets(probAux, &aOff);
505:     PetscDSGetComponentDerivativeOffsets(probAux, &aOff_x);
506:     PetscDSGetEvaluationArrays(probAux, &a, NULL, &a_x);
507:   }
508:   DMPlexInsertBoundaryValues(dm, PETSC_TRUE, localU, 0.0, NULL, NULL, NULL);
509:   DMPlexVecGetClosure(dm, section, localX, cStart, &numValues, NULL);
510:   if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section cell closure size %d != dual space dimension %d", numValues, totDim);
511:   DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);
512:   PetscMalloc3(dim,&v0,dim*dim,&J,dim*dim,&invJ);
513:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
514:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
515:   for (c = cStart; c < cEnd; ++c) {
516:     PetscScalar *coefficients = NULL, *coefficientsAux = NULL;

518:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
519:     DMPlexVecGetClosure(dm, section, localU, c, NULL, &coefficients);
520:     if (dmAux) {DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);}
521:     for (f = 0, v = 0; f < Nf; ++f) {
522:       PetscObject  obj;
523:       PetscClassId id;

525:       PetscDSGetDiscretization(prob, f, &obj);
526:       PetscObjectGetClassId(obj, &id);
527:       if (id == PETSCFE_CLASSID) {
528:         PetscFE fe = (PetscFE) obj;

530:         PetscFEGetDualSpace(fe, &sp[f]);
531:         PetscFEGetNumComponents(fe, &Ncf[f]);
532:       } else if (id == PETSCFV_CLASSID) {
533:         PetscFV fv = (PetscFV) obj;

535:         PetscFVGetNumComponents(fv, &Ncf[f]);
536:         PetscObjectReference((PetscObject) sp[f]);
537:       }
538:       PetscDualSpaceGetDimension(sp[f], &spDim);
539:       for (d = 0; d < spDim; ++d) {
540:         PetscQuadrature  quad;
541:         const PetscReal *points, *weights;
542:         PetscInt         numPoints, q;

544:         if (funcs[f]) {
545:           PetscDualSpaceGetFunctional(sp[f], d, &quad);
546:           PetscQuadratureGetData(quad, NULL, &numPoints, &points, &weights);
547:           for (q = 0; q < numPoints; ++q) {
548:             CoordinatesRefToReal(dim, dim, v0, J, &points[q*dim], x);
549:             EvaluateFieldJets(prob,    PETSC_FALSE, q, invJ, coefficients,    NULL, u, u_x, NULL);
550:             EvaluateFieldJets(probAux, PETSC_FALSE, q, invJ, coefficientsAux, NULL, a, a_x, NULL);
551:             (*funcs[f])(dim, Nf, NfAux, uOff, uOff_x, u, NULL, u_x, aOff, aOff_x, a, NULL, a_x, 0.0, x, &values[v]);
552:           }
553:         } else {
554:           for (comp = 0; comp < Ncf[f]; ++comp) values[v+comp] = 0.0;
555:         }
556:         v += Ncf[f];
557:       }
558:     }
559:     DMPlexVecRestoreClosure(dm, section, localU, c, NULL, &coefficients);
560:     if (dmAux) {DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);}
561:     DMPlexVecSetClosure(dm, section, localX, c, values, mode);
562:   }
563:   PetscFree3(v0,J,invJ);
564:   DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
565:   PetscFree2(sp, Ncf);
566:   return(0);
567: }

571: static PetscErrorCode DMPlexInsertBoundaryValues_FEM_Internal(DM dm, PetscReal time, PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *ctx, Vec locX)
572: {
573:   PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx);
574:   void            **ctxs;
575:   PetscInt          numFields;
576:   PetscErrorCode    ierr;

579:   DMGetNumFields(dm, &numFields);
580:   PetscCalloc2(numFields,&funcs,numFields,&ctxs);
581:   funcs[field] = func;
582:   ctxs[field]  = ctx;
583:   DMProjectFunctionLabelLocal(dm, time, label, numids, ids, funcs, ctxs, INSERT_BC_VALUES, locX);
584:   PetscFree2(funcs,ctxs);
585:   return(0);
586: }

590: /* This ignores numcomps/comps */
591: static PetscErrorCode DMPlexInsertBoundaryValues_FVM_Internal(DM dm, PetscReal time, Vec faceGeometry, Vec cellGeometry, Vec Grad,
592:                                                               PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*), void *ctx, Vec locX)
593: {
594:   PetscDS            prob;
595:   PetscSF            sf;
596:   DM                 dmFace, dmCell, dmGrad;
597:   const PetscScalar *facegeom, *cellgeom = NULL, *grad;
598:   const PetscInt    *leaves;
599:   PetscScalar       *x, *fx;
600:   PetscInt           dim, nleaves, loc, fStart, fEnd, pdim, i;
601:   PetscErrorCode     ierr, ierru = 0;

604:   DMGetPointSF(dm, &sf);
605:   PetscSFGetGraph(sf, NULL, &nleaves, &leaves, NULL);
606:   nleaves = PetscMax(0, nleaves);
607:   DMGetDimension(dm, &dim);
608:   DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);
609:   DMGetDS(dm, &prob);
610:   VecGetDM(faceGeometry, &dmFace);
611:   VecGetArrayRead(faceGeometry, &facegeom);
612:   if (cellGeometry) {
613:     VecGetDM(cellGeometry, &dmCell);
614:     VecGetArrayRead(cellGeometry, &cellgeom);
615:   }
616:   if (Grad) {
617:     PetscFV fv;

619:     PetscDSGetDiscretization(prob, field, (PetscObject *) &fv);
620:     VecGetDM(Grad, &dmGrad);
621:     VecGetArrayRead(Grad, &grad);
622:     PetscFVGetNumComponents(fv, &pdim);
623:     DMGetWorkArray(dm, pdim, PETSC_SCALAR, &fx);
624:   }
625:   VecGetArray(locX, &x);
626:   for (i = 0; i < numids; ++i) {
627:     IS              faceIS;
628:     const PetscInt *faces;
629:     PetscInt        numFaces, f;

631:     DMLabelGetStratumIS(label, ids[i], &faceIS);
632:     if (!faceIS) continue; /* No points with that id on this process */
633:     ISGetLocalSize(faceIS, &numFaces);
634:     ISGetIndices(faceIS, &faces);
635:     for (f = 0; f < numFaces; ++f) {
636:       const PetscInt         face = faces[f], *cells;
637:       PetscFVFaceGeom        *fg;

639:       if ((face < fStart) || (face >= fEnd)) continue; /* Refinement adds non-faces to labels */
640:       PetscFindInt(face, nleaves, (PetscInt *) leaves, &loc);
641:       if (loc >= 0) continue;
642:       DMPlexPointLocalRead(dmFace, face, facegeom, &fg);
643:       DMPlexGetSupport(dm, face, &cells);
644:       if (Grad) {
645:         PetscFVCellGeom       *cg;
646:         PetscScalar           *cx, *cgrad;
647:         PetscScalar           *xG;
648:         PetscReal              dx[3];
649:         PetscInt               d;

651:         DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cg);
652:         DMPlexPointLocalRead(dm, cells[0], x, &cx);
653:         DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad);
654:         DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);
655:         DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, fg->centroid, dx);
656:         for (d = 0; d < pdim; ++d) fx[d] = cx[d] + DMPlex_DotD_Internal(dim, &cgrad[d*dim], dx);
657:         ierru = (*func)(time, fg->centroid, fg->normal, fx, xG, ctx);
658:         if (ierru) {
659:           ISRestoreIndices(faceIS, &faces);
660:           ISDestroy(&faceIS);
661:           goto cleanup;
662:         }
663:       } else {
664:         PetscScalar       *xI;
665:         PetscScalar       *xG;

667:         DMPlexPointLocalRead(dm, cells[0], x, &xI);
668:         DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);
669:         ierru = (*func)(time, fg->centroid, fg->normal, xI, xG, ctx);
670:         if (ierru) {
671:           ISRestoreIndices(faceIS, &faces);
672:           ISDestroy(&faceIS);
673:           goto cleanup;
674:         }
675:       }
676:     }
677:     ISRestoreIndices(faceIS, &faces);
678:     ISDestroy(&faceIS);
679:   }
680:   cleanup:
681:   VecRestoreArray(locX, &x);
682:   if (Grad) {
683:     DMRestoreWorkArray(dm, pdim, PETSC_SCALAR, &fx);
684:     VecRestoreArrayRead(Grad, &grad);
685:   }
686:   if (cellGeometry) {VecRestoreArrayRead(cellGeometry, &cellgeom);}
687:   VecRestoreArrayRead(faceGeometry, &facegeom);
688:   CHKERRQ(ierru);
689:   return(0);
690: }

694: PetscErrorCode DMPlexInsertBoundaryValues(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
695: {
696:   PetscInt       numBd, b;

705:   DMGetNumBoundary(dm, &numBd);
706:   for (b = 0; b < numBd; ++b) {
707:     PetscBool       isEssential;
708:     const char     *labelname;
709:     DMLabel         label;
710:     PetscInt        field;
711:     PetscObject     obj;
712:     PetscClassId    id;
713:     void          (*func)();
714:     PetscInt        numids;
715:     const PetscInt *ids;
716:     void           *ctx;

718:     DMGetBoundary(dm, b, &isEssential, NULL, &labelname, &field, NULL, NULL, &func, &numids, &ids, &ctx);
719:     if (insertEssential != isEssential) continue;
720:     DMGetLabel(dm, labelname, &label);
721:     DMGetField(dm, field, &obj);
722:     PetscObjectGetClassId(obj, &id);
723:     if (id == PETSCFE_CLASSID) {
724:       if (!isEssential) continue; /* for FEM, there is no insertion to be done for non-essential boundary conditions */
725:       DMPlexLabelAddCells(dm,label);
726:       DMPlexInsertBoundaryValues_FEM_Internal(dm, time, field, label, numids, ids, (PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *)) func, ctx, locX);
727:       DMPlexLabelClearCells(dm,label);
728:     } else if (id == PETSCFV_CLASSID) {
729:       if (!faceGeomFVM) continue;
730:       DMPlexInsertBoundaryValues_FVM_Internal(dm, time, faceGeomFVM, cellGeomFVM, gradFVM,
731:                                                      field, label, numids, ids, (PetscErrorCode (*)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*)) func, ctx, locX);
732:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
733:   }
734:   return(0);
735: }

739: PetscErrorCode DMComputeL2Diff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
740: {
741:   const PetscInt   debug = 0;
742:   PetscSection     section;
743:   PetscQuadrature  quad;
744:   Vec              localX;
745:   PetscScalar     *funcVal, *interpolant;
746:   PetscReal       *coords, *v0, *J, *invJ, detJ;
747:   PetscReal        localDiff = 0.0;
748:   const PetscReal *quadPoints, *quadWeights;
749:   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, cEndInterior, c, field, fieldOffset;
750:   PetscErrorCode   ierr;

753:   DMGetDimension(dm, &dim);
754:   DMGetDefaultSection(dm, &section);
755:   PetscSectionGetNumFields(section, &numFields);
756:   DMGetLocalVector(dm, &localX);
757:   DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);
758:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
759:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
760:   for (field = 0; field < numFields; ++field) {
761:     PetscObject  obj;
762:     PetscClassId id;
763:     PetscInt     Nc;

765:     DMGetField(dm, field, &obj);
766:     PetscObjectGetClassId(obj, &id);
767:     if (id == PETSCFE_CLASSID) {
768:       PetscFE fe = (PetscFE) obj;

770:       PetscFEGetQuadrature(fe, &quad);
771:       PetscFEGetNumComponents(fe, &Nc);
772:     } else if (id == PETSCFV_CLASSID) {
773:       PetscFV fv = (PetscFV) obj;

775:       PetscFVGetQuadrature(fv, &quad);
776:       PetscFVGetNumComponents(fv, &Nc);
777:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
778:     numComponents += Nc;
779:   }
780:   PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
781:   PetscMalloc6(numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);
782:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
783:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
784:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
785:   for (c = cStart; c < cEnd; ++c) {
786:     PetscScalar *x = NULL;
787:     PetscReal    elemDiff = 0.0;

789:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
790:     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
791:     DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);

793:     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
794:       PetscObject  obj;
795:       PetscClassId id;
796:       void * const ctx = ctxs ? ctxs[field] : NULL;
797:       PetscInt     Nb, Nc, q, fc;

799:       DMGetField(dm, field, &obj);
800:       PetscObjectGetClassId(obj, &id);
801:       if (id == PETSCFE_CLASSID)      {PetscFEGetNumComponents((PetscFE) obj, &Nc);PetscFEGetDimension((PetscFE) obj, &Nb);}
802:       else if (id == PETSCFV_CLASSID) {PetscFVGetNumComponents((PetscFV) obj, &Nc);Nb = 1;}
803:       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
804:       if (debug) {
805:         char title[1024];
806:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
807:         DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);
808:       }
809:       for (q = 0; q < numQuadPoints; ++q) {
810:         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
811:         (*funcs[field])(dim, time, coords, Nc, funcVal, ctx);
812:         if (ierr) {
813:           PetscErrorCode ierr2;
814:           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
815:           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
816:           ierr2 = PetscFree6(funcVal,interpolant,coords,v0,J,invJ);CHKERRQ(ierr2);
817: 
818:         }
819:         if (id == PETSCFE_CLASSID)      {PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);}
820:         else if (id == PETSCFV_CLASSID) {PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);}
821:         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
822:         for (fc = 0; fc < Nc; ++fc) {
823:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);}
824:           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
825:         }
826:       }
827:       fieldOffset += Nb*Nc;
828:     }
829:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
830:     if (debug) {PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);}
831:     localDiff += elemDiff;
832:   }
833:   PetscFree6(funcVal,interpolant,coords,v0,J,invJ);
834:   DMRestoreLocalVector(dm, &localX);
835:   MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
836:   *diff = PetscSqrtReal(*diff);
837:   return(0);
838: }

842: PetscErrorCode DMComputeL2GradientDiff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, const PetscReal n[], PetscReal *diff)
843: {
844:   const PetscInt  debug = 0;
845:   PetscSection    section;
846:   PetscQuadrature quad;
847:   Vec             localX;
848:   PetscScalar    *funcVal, *interpolantVec;
849:   PetscReal      *coords, *realSpaceDer, *v0, *J, *invJ, detJ;
850:   PetscReal       localDiff = 0.0;
851:   PetscInt        dim, numFields, numComponents = 0, cStart, cEnd, cEndInterior, c, field, fieldOffset, comp;
852:   PetscErrorCode  ierr;

855:   DMGetDimension(dm, &dim);
856:   DMGetDefaultSection(dm, &section);
857:   PetscSectionGetNumFields(section, &numFields);
858:   DMGetLocalVector(dm, &localX);
859:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
860:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
861:   for (field = 0; field < numFields; ++field) {
862:     PetscFE  fe;
863:     PetscInt Nc;

865:     DMGetField(dm, field, (PetscObject *) &fe);
866:     PetscFEGetQuadrature(fe, &quad);
867:     PetscFEGetNumComponents(fe, &Nc);
868:     numComponents += Nc;
869:   }
870:   /* DMProjectFunctionLocal(dm, fe, funcs, INSERT_BC_VALUES, localX); */
871:   PetscMalloc7(numComponents,&funcVal,dim,&coords,dim,&realSpaceDer,dim,&v0,dim*dim,&J,dim*dim,&invJ,dim,&interpolantVec);
872:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
873:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
874:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
875:   for (c = cStart; c < cEnd; ++c) {
876:     PetscScalar *x = NULL;
877:     PetscReal    elemDiff = 0.0;

879:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
880:     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
881:     DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);

883:     for (field = 0, comp = 0, fieldOffset = 0; field < numFields; ++field) {
884:       PetscFE          fe;
885:       void * const     ctx = ctxs ? ctxs[field] : NULL;
886:       const PetscReal *quadPoints, *quadWeights;
887:       PetscReal       *basisDer;
888:       PetscInt         numQuadPoints, Nb, Ncomp, q, d, e, fc, f, g;

890:       DMGetField(dm, field, (PetscObject *) &fe);
891:       PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
892:       PetscFEGetDimension(fe, &Nb);
893:       PetscFEGetNumComponents(fe, &Ncomp);
894:       PetscFEGetDefaultTabulation(fe, NULL, &basisDer, NULL);
895:       if (debug) {
896:         char title[1024];
897:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
898:         DMPrintCellVector(c, title, Nb*Ncomp, &x[fieldOffset]);
899:       }
900:       for (q = 0; q < numQuadPoints; ++q) {
901:         for (d = 0; d < dim; d++) {
902:           coords[d] = v0[d];
903:           for (e = 0; e < dim; e++) {
904:             coords[d] += J[d*dim+e]*(quadPoints[q*dim+e] + 1.0);
905:           }
906:         }
907:         (*funcs[field])(dim, time, coords, n, numFields, funcVal, ctx);
908:         if (ierr) {
909:           PetscErrorCode ierr2;
910:           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
911:           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
912:           ierr2 = PetscFree7(funcVal,coords,realSpaceDer,v0,J,invJ,interpolantVec);CHKERRQ(ierr2);
913: 
914:         }
915:         for (fc = 0; fc < Ncomp; ++fc) {
916:           PetscScalar interpolant = 0.0;

918:           for (d = 0; d < dim; ++d) interpolantVec[d] = 0.0;
919:           for (f = 0; f < Nb; ++f) {
920:             const PetscInt fidx = f*Ncomp+fc;

922:             for (d = 0; d < dim; ++d) {
923:               realSpaceDer[d] = 0.0;
924:               for (g = 0; g < dim; ++g) {
925:                 realSpaceDer[d] += invJ[g*dim+d]*basisDer[(q*Nb*Ncomp+fidx)*dim+g];
926:               }
927:               interpolantVec[d] += x[fieldOffset+fidx]*realSpaceDer[d];
928:             }
929:           }
930:           for (d = 0; d < dim; ++d) interpolant += interpolantVec[d]*n[d];
931:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d fieldDer %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ);}
932:           elemDiff += PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ;
933:         }
934:       }
935:       comp        += Ncomp;
936:       fieldOffset += Nb*Ncomp;
937:     }
938:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
939:     if (debug) {PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);}
940:     localDiff += elemDiff;
941:   }
942:   PetscFree7(funcVal,coords,realSpaceDer,v0,J,invJ,interpolantVec);
943:   DMRestoreLocalVector(dm, &localX);
944:   MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
945:   *diff = PetscSqrtReal(*diff);
946:   return(0);
947: }

951: PetscErrorCode DMComputeL2FieldDiff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
952: {
953:   const PetscInt   debug = 0;
954:   PetscSection     section;
955:   PetscQuadrature  quad;
956:   Vec              localX;
957:   PetscScalar     *funcVal, *interpolant;
958:   PetscReal       *coords, *v0, *J, *invJ, detJ;
959:   PetscReal       *localDiff;
960:   const PetscReal *quadPoints, *quadWeights;
961:   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, cEndInterior, c, field, fieldOffset;
962:   PetscErrorCode   ierr;

965:   DMGetDimension(dm, &dim);
966:   DMGetDefaultSection(dm, &section);
967:   PetscSectionGetNumFields(section, &numFields);
968:   DMGetLocalVector(dm, &localX);
969:   DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);
970:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
971:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
972:   for (field = 0; field < numFields; ++field) {
973:     PetscObject  obj;
974:     PetscClassId id;
975:     PetscInt     Nc;

977:     DMGetField(dm, field, &obj);
978:     PetscObjectGetClassId(obj, &id);
979:     if (id == PETSCFE_CLASSID) {
980:       PetscFE fe = (PetscFE) obj;

982:       PetscFEGetQuadrature(fe, &quad);
983:       PetscFEGetNumComponents(fe, &Nc);
984:     } else if (id == PETSCFV_CLASSID) {
985:       PetscFV fv = (PetscFV) obj;

987:       PetscFVGetQuadrature(fv, &quad);
988:       PetscFVGetNumComponents(fv, &Nc);
989:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
990:     numComponents += Nc;
991:   }
992:   PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
993:   PetscCalloc7(numFields,&localDiff,numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);
994:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
995:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
996:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
997:   for (c = cStart; c < cEnd; ++c) {
998:     PetscScalar *x = NULL;

1000:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
1001:     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
1002:     DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);

1004:     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1005:       PetscObject  obj;
1006:       PetscClassId id;
1007:       void * const ctx = ctxs ? ctxs[field] : NULL;
1008:       PetscInt     Nb, Nc, q, fc;

1010:       PetscReal       elemDiff = 0.0;

1012:       DMGetField(dm, field, &obj);
1013:       PetscObjectGetClassId(obj, &id);
1014:       if (id == PETSCFE_CLASSID)      {PetscFEGetNumComponents((PetscFE) obj, &Nc);PetscFEGetDimension((PetscFE) obj, &Nb);}
1015:       else if (id == PETSCFV_CLASSID) {PetscFVGetNumComponents((PetscFV) obj, &Nc);Nb = 1;}
1016:       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1017:       if (debug) {
1018:         char title[1024];
1019:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
1020:         DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);
1021:       }
1022:       for (q = 0; q < numQuadPoints; ++q) {
1023:         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
1024:         (*funcs[field])(dim, time, coords, numFields, funcVal, ctx);
1025:         if (ierr) {
1026:           PetscErrorCode ierr2;
1027:           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
1028:           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
1029:           ierr2 = PetscFree7(localDiff,funcVal,interpolant,coords,v0,J,invJ);CHKERRQ(ierr2);
1030: 
1031:         }
1032:         if (id == PETSCFE_CLASSID)      {PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);}
1033:         else if (id == PETSCFV_CLASSID) {PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);}
1034:         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1035:         for (fc = 0; fc < Nc; ++fc) {
1036:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);}
1037:           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
1038:         }
1039:       }
1040:       fieldOffset += Nb*Nc;
1041:       localDiff[field] += elemDiff;
1042:     }
1043:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
1044:   }
1045:   DMRestoreLocalVector(dm, &localX);
1046:   MPIU_Allreduce(localDiff, diff, numFields, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
1047:   for (field = 0; field < numFields; ++field) diff[field] = PetscSqrtReal(diff[field]);
1048:   PetscFree7(localDiff,funcVal,interpolant,coords,v0,J,invJ);
1049:   return(0);
1050: }

1054: /*@C
1055:   DMPlexComputeL2DiffVec - This function computes the cellwise L_2 difference between a function u and an FEM interpolant solution u_h, and stores it in a Vec.

1057:   Input Parameters:
1058: + dm    - The DM
1059: . time  - The time
1060: . funcs - The functions to evaluate for each field component: NULL means that component does not contribute to error calculation
1061: . ctxs  - Optional array of contexts to pass to each function, or NULL.
1062: - X     - The coefficient vector u_h

1064:   Output Parameter:
1065: . D - A Vec which holds the difference ||u - u_h||_2 for each cell

1067:   Level: developer

1069: .seealso: DMProjectFunction(), DMComputeL2Diff(), DMPlexComputeL2FieldDiff(), DMComputeL2GradientDiff()
1070: @*/
1071: PetscErrorCode DMPlexComputeL2DiffVec(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, Vec D)
1072: {
1073:   PetscSection     section;
1074:   PetscQuadrature  quad;
1075:   Vec              localX;
1076:   PetscScalar     *funcVal, *interpolant;
1077:   PetscReal       *coords, *v0, *J, *invJ, detJ;
1078:   const PetscReal *quadPoints, *quadWeights;
1079:   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, cEndInterior, c, field, fieldOffset;
1080:   PetscErrorCode   ierr;

1083:   VecSet(D, 0.0);
1084:   DMGetDimension(dm, &dim);
1085:   DMGetDefaultSection(dm, &section);
1086:   PetscSectionGetNumFields(section, &numFields);
1087:   DMGetLocalVector(dm, &localX);
1088:   DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);
1089:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
1090:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
1091:   for (field = 0; field < numFields; ++field) {
1092:     PetscObject  obj;
1093:     PetscClassId id;
1094:     PetscInt     Nc;

1096:     DMGetField(dm, field, &obj);
1097:     PetscObjectGetClassId(obj, &id);
1098:     if (id == PETSCFE_CLASSID) {
1099:       PetscFE fe = (PetscFE) obj;

1101:       PetscFEGetQuadrature(fe, &quad);
1102:       PetscFEGetNumComponents(fe, &Nc);
1103:     } else if (id == PETSCFV_CLASSID) {
1104:       PetscFV fv = (PetscFV) obj;

1106:       PetscFVGetQuadrature(fv, &quad);
1107:       PetscFVGetNumComponents(fv, &Nc);
1108:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1109:     numComponents += Nc;
1110:   }
1111:   PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
1112:   PetscMalloc6(numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);
1113:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
1114:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
1115:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1116:   for (c = cStart; c < cEnd; ++c) {
1117:     PetscScalar *x = NULL;
1118:     PetscScalar  elemDiff = 0.0;

1120:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
1121:     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
1122:     DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);

1124:     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1125:       PetscObject  obj;
1126:       PetscClassId id;
1127:       void * const ctx = ctxs ? ctxs[field] : NULL;
1128:       PetscInt     Nb, Nc, q, fc;

1130:       DMGetField(dm, field, &obj);
1131:       PetscObjectGetClassId(obj, &id);
1132:       if (id == PETSCFE_CLASSID)      {PetscFEGetNumComponents((PetscFE) obj, &Nc);PetscFEGetDimension((PetscFE) obj, &Nb);}
1133:       else if (id == PETSCFV_CLASSID) {PetscFVGetNumComponents((PetscFV) obj, &Nc);Nb = 1;}
1134:       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1135:       if (funcs[field]) {
1136:         for (q = 0; q < numQuadPoints; ++q) {
1137:           CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
1138:           (*funcs[field])(dim, time, coords, Nc, funcVal, ctx);
1139:           if (ierr) {
1140:             PetscErrorCode ierr2;
1141:             ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
1142:             ierr2 = PetscFree6(funcVal,interpolant,coords,v0,J,invJ);CHKERRQ(ierr2);
1143:             ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
1144: 
1145:           }
1146:           if (id == PETSCFE_CLASSID)      {PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);}
1147:           else if (id == PETSCFV_CLASSID) {PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);}
1148:           else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1149:           for (fc = 0; fc < Nc; ++fc) {
1150:             elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
1151:           }
1152:         }
1153:       }
1154:       fieldOffset += Nb*Nc;
1155:     }
1156:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
1157:     VecSetValue(D, c - cStart, elemDiff, INSERT_VALUES);
1158:   }
1159:   PetscFree6(funcVal,interpolant,coords,v0,J,invJ);
1160:   DMRestoreLocalVector(dm, &localX);
1161:   VecSqrtAbs(D);
1162:   return(0);
1163: }

1167: /*@
1168:   DMPlexComputeIntegralFEM - Form the local integral F from the local input X using pointwise functions specified by the user

1170:   Input Parameters:
1171: + dm - The mesh
1172: . X  - Local input vector
1173: - user - The user context

1175:   Output Parameter:
1176: . integral - Local integral for each field

1178:   Level: developer

1180: .seealso: DMPlexComputeResidualFEM()
1181: @*/
1182: PetscErrorCode DMPlexComputeIntegralFEM(DM dm, Vec X, PetscReal *integral, void *user)
1183: {
1184:   DM_Plex          *mesh  = (DM_Plex *) dm->data;
1185:   DM                dmAux;
1186:   Vec               localX, A;
1187:   PetscDS           prob, probAux = NULL;
1188:   PetscSection      section, sectionAux;
1189:   PetscFECellGeom  *cgeom;
1190:   PetscScalar      *u, *a = NULL;
1191:   PetscReal        *lintegral, *vol;
1192:   PetscInt          dim, Nf, f, numCells, cStart, cEnd, cEndInterior, c;
1193:   PetscInt          totDim, totDimAux;
1194:   PetscErrorCode    ierr;

1197:   PetscLogEventBegin(DMPLEX_IntegralFEM,dm,0,0,0);
1198:   DMGetLocalVector(dm, &localX);
1199:   DMPlexInsertBoundaryValues(dm, PETSC_TRUE, localX, 0.0, NULL, NULL, NULL);
1200:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
1201:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
1202:   DMGetDimension(dm, &dim);
1203:   DMGetDefaultSection(dm, &section);
1204:   DMGetDS(dm, &prob);
1205:   PetscDSGetTotalDimension(prob, &totDim);
1206:   PetscSectionGetNumFields(section, &Nf);
1207:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
1208:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
1209:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1210:   numCells = cEnd - cStart;
1211:   PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);
1212:   PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);
1213:   if (dmAux) {
1214:     DMGetDefaultSection(dmAux, &sectionAux);
1215:     DMGetDS(dmAux, &probAux);
1216:     PetscDSGetTotalDimension(probAux, &totDimAux);
1217:   }
1218:   PetscMalloc4(Nf,&lintegral,numCells*totDim,&u,numCells,&cgeom,numCells,&vol);
1219:   if (dmAux) {PetscMalloc1(numCells*totDimAux, &a);}
1220:   for (f = 0; f < Nf; ++f) {lintegral[f] = 0.0;}
1221:   for (c = cStart; c < cEnd; ++c) {
1222:     PetscScalar *x = NULL;
1223:     PetscInt     i;

1225:     DMPlexComputeCellGeometryFEM(dm, c, NULL, cgeom[c].v0, cgeom[c].J, cgeom[c].invJ, &cgeom[c].detJ);
1226:     DMPlexComputeCellGeometryFVM(dm, c, &vol[c], NULL, NULL);
1227:     if (cgeom[c].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", cgeom[c].detJ, c);
1228:     DMPlexVecGetClosure(dm, section, localX, c, NULL, &x);
1229:     for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i];
1230:     DMPlexVecRestoreClosure(dm, section, localX, c, NULL, &x);
1231:     if (dmAux) {
1232:       DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &x);
1233:       for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i];
1234:       DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &x);
1235:     }
1236:   }
1237:   for (f = 0; f < Nf; ++f) {
1238:     PetscObject  obj;
1239:     PetscClassId id;
1240:     PetscInt     numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;

1242:     PetscDSGetDiscretization(prob, f, &obj);
1243:     PetscObjectGetClassId(obj, &id);
1244:     if (id == PETSCFE_CLASSID) {
1245:       PetscFE         fe = (PetscFE) obj;
1246:       PetscQuadrature q;
1247:       PetscInt        Nq, Nb;

1249:       PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);
1250:       PetscFEGetQuadrature(fe, &q);
1251:       PetscQuadratureGetData(q, NULL, &Nq, NULL, NULL);
1252:       PetscFEGetDimension(fe, &Nb);
1253:       blockSize = Nb*Nq;
1254:       batchSize = numBlocks * blockSize;
1255:       PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);
1256:       numChunks = numCells / (numBatches*batchSize);
1257:       Ne        = numChunks*numBatches*batchSize;
1258:       Nr        = numCells % (numBatches*batchSize);
1259:       offset    = numCells - Nr;
1260:       PetscFEIntegrate(fe, prob, f, Ne, cgeom, u, probAux, a, lintegral);
1261:       PetscFEIntegrate(fe, prob, f, Nr, &cgeom[offset], &u[offset*totDim], probAux, &a[offset*totDimAux], lintegral);
1262:     } else if (id == PETSCFV_CLASSID) {
1263:       /* PetscFV  fv = (PetscFV) obj; */
1264:       PetscInt       foff;
1265:       PetscPointFunc obj_func;
1266:       PetscScalar    lint;

1268:       PetscDSGetObjective(prob, f, &obj_func);
1269:       PetscDSGetFieldOffset(prob, f, &foff);
1270:       if (obj_func) {
1271:         for (c = 0; c < numCells; ++c) {
1272:           /* TODO: Need full pointwise interpolation and get centroid for x argument */
1273:           obj_func(dim, Nf, 0, NULL, NULL, &u[totDim*c+foff], NULL, NULL, NULL, NULL, NULL, NULL, NULL, 0.0, NULL, &lint);
1274:           lintegral[f] = PetscRealPart(lint)*vol[c];
1275:         }
1276:       }
1277:     } else SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
1278:   }
1279:   if (dmAux) {PetscFree(a);}
1280:   if (mesh->printFEM) {
1281:     PetscPrintf(PetscObjectComm((PetscObject) dm), "Local integral:");
1282:     for (f = 0; f < Nf; ++f) {PetscPrintf(PetscObjectComm((PetscObject) dm), " %g", lintegral[f]);}
1283:     PetscPrintf(PetscObjectComm((PetscObject) dm), "\n");
1284:   }
1285:   DMRestoreLocalVector(dm, &localX);
1286:   MPIU_Allreduce(lintegral, integral, Nf, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject) dm));
1287:   PetscFree4(lintegral,u,cgeom,vol);
1288:   PetscLogEventEnd(DMPLEX_IntegralFEM,dm,0,0,0);
1289:   return(0);
1290: }

1294: /*@
1295:   DMPlexComputeInterpolatorNested - Form the local portion of the interpolation matrix I from the coarse DM to the uniformly refined DM.

1297:   Input Parameters:
1298: + dmf  - The fine mesh
1299: . dmc  - The coarse mesh
1300: - user - The user context

1302:   Output Parameter:
1303: . In  - The interpolation matrix

1305:   Level: developer

1307: .seealso: DMPlexComputeInterpolatorGeneral(), DMPlexComputeJacobianFEM()
1308: @*/
1309: PetscErrorCode DMPlexComputeInterpolatorNested(DM dmc, DM dmf, Mat In, void *user)
1310: {
1311:   DM_Plex          *mesh  = (DM_Plex *) dmc->data;
1312:   const char       *name  = "Interpolator";
1313:   PetscDS           prob;
1314:   PetscFE          *feRef;
1315:   PetscFV          *fvRef;
1316:   PetscSection      fsection, fglobalSection;
1317:   PetscSection      csection, cglobalSection;
1318:   PetscScalar      *elemMat;
1319:   PetscInt          dim, Nf, f, fieldI, fieldJ, offsetI, offsetJ, cStart, cEnd, cEndInterior, c;
1320:   PetscInt          cTotDim, rTotDim = 0;
1321:   PetscErrorCode    ierr;

1324:   PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1325:   DMGetDimension(dmf, &dim);
1326:   DMGetDefaultSection(dmf, &fsection);
1327:   DMGetDefaultGlobalSection(dmf, &fglobalSection);
1328:   DMGetDefaultSection(dmc, &csection);
1329:   DMGetDefaultGlobalSection(dmc, &cglobalSection);
1330:   PetscSectionGetNumFields(fsection, &Nf);
1331:   DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);
1332:   DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);
1333:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1334:   DMGetDS(dmf, &prob);
1335:   PetscCalloc2(Nf,&feRef,Nf,&fvRef);
1336:   for (f = 0; f < Nf; ++f) {
1337:     PetscObject  obj;
1338:     PetscClassId id;
1339:     PetscInt     rNb = 0, Nc = 0;

1341:     PetscDSGetDiscretization(prob, f, &obj);
1342:     PetscObjectGetClassId(obj, &id);
1343:     if (id == PETSCFE_CLASSID) {
1344:       PetscFE fe = (PetscFE) obj;

1346:       PetscFERefine(fe, &feRef[f]);
1347:       PetscFEGetDimension(feRef[f], &rNb);
1348:       PetscFEGetNumComponents(fe, &Nc);
1349:     } else if (id == PETSCFV_CLASSID) {
1350:       PetscFV        fv = (PetscFV) obj;
1351:       PetscDualSpace Q;

1353:       PetscFVRefine(fv, &fvRef[f]);
1354:       PetscFVGetDualSpace(fvRef[f], &Q);
1355:       PetscDualSpaceGetDimension(Q, &rNb);
1356:       PetscFVGetNumComponents(fv, &Nc);
1357:     }
1358:     rTotDim += rNb*Nc;
1359:   }
1360:   PetscDSGetTotalDimension(prob, &cTotDim);
1361:   PetscMalloc1(rTotDim*cTotDim,&elemMat);
1362:   PetscMemzero(elemMat, rTotDim*cTotDim * sizeof(PetscScalar));
1363:   for (fieldI = 0, offsetI = 0; fieldI < Nf; ++fieldI) {
1364:     PetscDualSpace   Qref;
1365:     PetscQuadrature  f;
1366:     const PetscReal *qpoints, *qweights;
1367:     PetscReal       *points;
1368:     PetscInt         npoints = 0, Nc, Np, fpdim, i, k, p, d;

1370:     /* Compose points from all dual basis functionals */
1371:     if (feRef[fieldI]) {
1372:       PetscFEGetDualSpace(feRef[fieldI], &Qref);
1373:       PetscFEGetNumComponents(feRef[fieldI], &Nc);
1374:     } else {
1375:       PetscFVGetDualSpace(fvRef[fieldI], &Qref);
1376:       PetscFVGetNumComponents(fvRef[fieldI], &Nc);
1377:     }
1378:     PetscDualSpaceGetDimension(Qref, &fpdim);
1379:     for (i = 0; i < fpdim; ++i) {
1380:       PetscDualSpaceGetFunctional(Qref, i, &f);
1381:       PetscQuadratureGetData(f, NULL, &Np, NULL, NULL);
1382:       npoints += Np;
1383:     }
1384:     PetscMalloc1(npoints*dim,&points);
1385:     for (i = 0, k = 0; i < fpdim; ++i) {
1386:       PetscDualSpaceGetFunctional(Qref, i, &f);
1387:       PetscQuadratureGetData(f, NULL, &Np, &qpoints, NULL);
1388:       for (p = 0; p < Np; ++p, ++k) for (d = 0; d < dim; ++d) points[k*dim+d] = qpoints[p*dim+d];
1389:     }

1391:     for (fieldJ = 0, offsetJ = 0; fieldJ < Nf; ++fieldJ) {
1392:       PetscObject  obj;
1393:       PetscClassId id;
1394:       PetscReal   *B;
1395:       PetscInt     NcJ = 0, cpdim = 0, j;

1397:       PetscDSGetDiscretization(prob, fieldJ, &obj);
1398:       PetscObjectGetClassId(obj, &id);
1399:       if (id == PETSCFE_CLASSID) {
1400:         PetscFE fe = (PetscFE) obj;

1402:         /* Evaluate basis at points */
1403:         PetscFEGetNumComponents(fe, &NcJ);
1404:         PetscFEGetDimension(fe, &cpdim);
1405:         /* For now, fields only interpolate themselves */
1406:         if (fieldI == fieldJ) {
1407:           if (Nc != NcJ) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %d does not match coarse field %d", Nc, NcJ);
1408:           PetscFEGetTabulation(fe, npoints, points, &B, NULL, NULL);
1409:           for (i = 0, k = 0; i < fpdim; ++i) {
1410:             PetscDualSpaceGetFunctional(Qref, i, &f);
1411:             PetscQuadratureGetData(f, NULL, &Np, NULL, &qweights);
1412:             for (p = 0; p < Np; ++p, ++k) {
1413:               for (j = 0; j < cpdim; ++j) {
1414:                 for (c = 0; c < Nc; ++c) elemMat[(offsetI + i*Nc + c)*cTotDim + offsetJ + j*NcJ + c] += B[k*cpdim*NcJ+j*Nc+c]*qweights[p];
1415:               }
1416:             }
1417:           }
1418:           PetscFERestoreTabulation(fe, npoints, points, &B, NULL, NULL);
1419:         }
1420:       } else if (id == PETSCFV_CLASSID) {
1421:         PetscFV        fv = (PetscFV) obj;

1423:         /* Evaluate constant function at points */
1424:         PetscFVGetNumComponents(fv, &NcJ);
1425:         cpdim = 1;
1426:         /* For now, fields only interpolate themselves */
1427:         if (fieldI == fieldJ) {
1428:           if (Nc != NcJ) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %d does not match coarse field %d", Nc, NcJ);
1429:           for (i = 0, k = 0; i < fpdim; ++i) {
1430:             PetscDualSpaceGetFunctional(Qref, i, &f);
1431:             PetscQuadratureGetData(f, NULL, &Np, NULL, &qweights);
1432:             for (p = 0; p < Np; ++p, ++k) {
1433:               for (j = 0; j < cpdim; ++j) {
1434:                 for (c = 0; c < Nc; ++c) elemMat[(offsetI + i*Nc + c)*cTotDim + offsetJ + j*NcJ + c] += 1.0*qweights[p];
1435:               }
1436:             }
1437:           }
1438:         }
1439:       }
1440:       offsetJ += cpdim*NcJ;
1441:     }
1442:     offsetI += fpdim*Nc;
1443:     PetscFree(points);
1444:   }
1445:   if (mesh->printFEM > 1) {DMPrintCellMatrix(0, name, rTotDim, cTotDim, elemMat);}
1446:   /* Preallocate matrix */
1447:   {
1448:     Mat          preallocator;
1449:     PetscScalar *vals;
1450:     PetscInt    *cellCIndices, *cellFIndices;
1451:     PetscInt     locRows, locCols, cell;

1453:     MatGetLocalSize(In, &locRows, &locCols);
1454:     MatCreate(PetscObjectComm((PetscObject) In), &preallocator);
1455:     MatSetType(preallocator, MATPREALLOCATOR);
1456:     MatSetSizes(preallocator, locRows, locCols, PETSC_DETERMINE, PETSC_DETERMINE);
1457:     MatSetUp(preallocator);
1458:     PetscCalloc3(rTotDim*cTotDim, &vals,cTotDim,&cellCIndices,rTotDim,&cellFIndices);
1459:     for (cell = cStart; cell < cEnd; ++cell) {
1460:       DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, cell, cellCIndices, cellFIndices);
1461:       MatSetValues(preallocator, rTotDim, cellFIndices, cTotDim, cellCIndices, vals, INSERT_VALUES);
1462:     }
1463:     PetscFree3(vals,cellCIndices,cellFIndices);
1464:     MatAssemblyBegin(preallocator, MAT_FINAL_ASSEMBLY);
1465:     MatAssemblyEnd(preallocator, MAT_FINAL_ASSEMBLY);
1466:     MatPreallocatorPreallocate(preallocator, PETSC_TRUE, In);
1467:     MatDestroy(&preallocator);
1468:   }
1469:   /* Fill matrix */
1470:   MatZeroEntries(In);
1471:   for (c = cStart; c < cEnd; ++c) {
1472:     DMPlexMatSetClosureRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, In, c, elemMat, INSERT_VALUES);
1473:   }
1474:   for (f = 0; f < Nf; ++f) {PetscFEDestroy(&feRef[f]);}
1475:   PetscFree2(feRef,fvRef);
1476:   PetscFree(elemMat);
1477:   MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);
1478:   MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);
1479:   if (mesh->printFEM) {
1480:     PetscPrintf(PETSC_COMM_WORLD, "%s:\n", name);
1481:     MatChop(In, 1.0e-10);
1482:     MatView(In, PETSC_VIEWER_STDOUT_WORLD);
1483:   }
1484:   PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1485:   return(0);
1486: }

1490: /*@
1491:   DMPlexComputeInterpolatorGeneral - Form the local portion of the interpolation matrix I from the coarse DM to a non-nested fine DM.

1493:   Input Parameters:
1494: + dmf  - The fine mesh
1495: . dmc  - The coarse mesh
1496: - user - The user context

1498:   Output Parameter:
1499: . In  - The interpolation matrix

1501:   Level: developer

1503: .seealso: DMPlexComputeInterpolatorNested(), DMPlexComputeJacobianFEM()
1504: @*/
1505: PetscErrorCode DMPlexComputeInterpolatorGeneral(DM dmc, DM dmf, Mat In, void *user)
1506: {
1507:   DM_Plex       *mesh = (DM_Plex *) dmf->data;
1508:   const char    *name = "Interpolator";
1509:   PetscDS        prob;
1510:   PetscSection   fsection, csection, globalFSection, globalCSection;
1511:   PetscHashJK    ht;
1512:   PetscLayout    rLayout;
1513:   PetscInt      *dnz, *onz;
1514:   PetscInt       locRows, rStart, rEnd;
1515:   PetscReal     *x, *v0, *J, *invJ, detJ;
1516:   PetscReal     *v0c, *Jc, *invJc, detJc;
1517:   PetscScalar   *elemMat;
1518:   PetscInt       dim, Nf, field, totDim, cStart, cEnd, cell, ccell;

1522:   PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1523:   DMGetCoordinateDim(dmc, &dim);
1524:   DMGetDS(dmc, &prob);
1525:   PetscDSGetRefCoordArrays(prob, &x, NULL);
1526:   PetscDSGetNumFields(prob, &Nf);
1527:   PetscMalloc3(dim,&v0,dim*dim,&J,dim*dim,&invJ);
1528:   PetscMalloc3(dim,&v0c,dim*dim,&Jc,dim*dim,&invJc);
1529:   DMGetDefaultSection(dmf, &fsection);
1530:   DMGetDefaultGlobalSection(dmf, &globalFSection);
1531:   DMGetDefaultSection(dmc, &csection);
1532:   DMGetDefaultGlobalSection(dmc, &globalCSection);
1533:   DMPlexGetHeightStratum(dmf, 0, &cStart, &cEnd);
1534:   PetscDSGetTotalDimension(prob, &totDim);
1535:   PetscMalloc1(totDim*totDim, &elemMat);

1537:   MatGetLocalSize(In, &locRows, NULL);
1538:   PetscLayoutCreate(PetscObjectComm((PetscObject) In), &rLayout);
1539:   PetscLayoutSetLocalSize(rLayout, locRows);
1540:   PetscLayoutSetBlockSize(rLayout, 1);
1541:   PetscLayoutSetUp(rLayout);
1542:   PetscLayoutGetRange(rLayout, &rStart, &rEnd);
1543:   PetscLayoutDestroy(&rLayout);
1544:   PetscCalloc2(locRows,&dnz,locRows,&onz);
1545:   PetscHashJKCreate(&ht);
1546:   for (field = 0; field < Nf; ++field) {
1547:     PetscObject      obj;
1548:     PetscClassId     id;
1549:     PetscDualSpace   Q = NULL;
1550:     PetscQuadrature  f;
1551:     const PetscReal *qpoints;
1552:     PetscInt         Nc, Np, fpdim, i, d;

1554:     PetscDSGetDiscretization(prob, field, &obj);
1555:     PetscObjectGetClassId(obj, &id);
1556:     if (id == PETSCFE_CLASSID) {
1557:       PetscFE fe = (PetscFE) obj;

1559:       PetscFEGetDualSpace(fe, &Q);
1560:       PetscFEGetNumComponents(fe, &Nc);
1561:     } else if (id == PETSCFV_CLASSID) {
1562:       PetscFV fv = (PetscFV) obj;

1564:       PetscFVGetDualSpace(fv, &Q);
1565:       Nc   = 1;
1566:     }
1567:     PetscDualSpaceGetDimension(Q, &fpdim);
1568:     /* For each fine grid cell */
1569:     for (cell = cStart; cell < cEnd; ++cell) {
1570:       PetscInt *findices,   *cindices;
1571:       PetscInt  numFIndices, numCIndices;

1573:       DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);
1574:       DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ);
1575:       if (numFIndices != fpdim*Nc) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fine indices %d != %d dual basis vecs", numFIndices, fpdim*Nc);
1576:       for (i = 0; i < fpdim; ++i) {
1577:         Vec             pointVec;
1578:         PetscScalar    *pV;
1579:         PetscSF         coarseCellSF = NULL;
1580:         const PetscSFNode *coarseCells;
1581:         PetscInt        numCoarseCells, q, r, c;

1583:         /* Get points from the dual basis functional quadrature */
1584:         PetscDualSpaceGetFunctional(Q, i, &f);
1585:         PetscQuadratureGetData(f, NULL, &Np, &qpoints, NULL);
1586:         VecCreateSeq(PETSC_COMM_SELF, Np*dim, &pointVec);
1587:         VecSetBlockSize(pointVec, dim);
1588:         VecGetArray(pointVec, &pV);
1589:         for (q = 0; q < Np; ++q) {
1590:           /* Transform point to real space */
1591:           CoordinatesRefToReal(dim, dim, v0, J, &qpoints[q*dim], x);
1592:           for (d = 0; d < dim; ++d) pV[q*dim+d] = x[d];
1593:         }
1594:         VecRestoreArray(pointVec, &pV);
1595:         /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
1596:         DMLocatePoints(dmc, pointVec, &coarseCellSF);
1597:         PetscSFViewFromOptions(coarseCellSF, NULL, "-interp_sf_view");
1598:         /* Update preallocation info */
1599:         PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells);
1600:         if (numCoarseCells != Np) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not all closure points located");
1601:         for (r = 0; r < Nc; ++r) {
1602:           PetscHashJKKey  key;
1603:           PetscHashJKIter missing, iter;

1605:           key.j = findices[i*Nc+r];
1606:           if (key.j < 0) continue;
1607:           /* Get indices for coarse elements */
1608:           for (ccell = 0; ccell < numCoarseCells; ++ccell) {
1609:             DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);
1610:             for (c = 0; c < numCIndices; ++c) {
1611:               key.k = cindices[c];
1612:               if (key.k < 0) continue;
1613:               PetscHashJKPut(ht, key, &missing, &iter);
1614:               if (missing) {
1615:                 PetscHashJKSet(ht, iter, 1);
1616:                 if ((key.k >= rStart) && (key.k < rEnd)) ++dnz[key.j-rStart];
1617:                 else                                     ++onz[key.j-rStart];
1618:               }
1619:             }
1620:             DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);
1621:           }
1622:         }
1623:         PetscSFDestroy(&coarseCellSF);
1624:         VecDestroy(&pointVec);
1625:       }
1626:       DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);
1627:     }
1628:   }
1629:   PetscHashJKDestroy(&ht);
1630:   MatXAIJSetPreallocation(In, 1, dnz, onz, NULL, NULL);
1631:   MatSetOption(In, MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);
1632:   PetscFree2(dnz,onz);
1633:   for (field = 0; field < Nf; ++field) {
1634:     PetscObject      obj;
1635:     PetscClassId     id;
1636:     PetscDualSpace   Q = NULL;
1637:     PetscQuadrature  f;
1638:     const PetscReal *qpoints, *qweights;
1639:     PetscInt         Nc, Np, fpdim, i, d;

1641:     PetscDSGetDiscretization(prob, field, &obj);
1642:     PetscObjectGetClassId(obj, &id);
1643:     if (id == PETSCFE_CLASSID) {
1644:       PetscFE fe = (PetscFE) obj;

1646:       PetscFEGetDualSpace(fe, &Q);
1647:       PetscFEGetNumComponents(fe, &Nc);
1648:     } else if (id == PETSCFV_CLASSID) {
1649:       PetscFV fv = (PetscFV) obj;

1651:       PetscFVGetDualSpace(fv, &Q);
1652:       Nc   = 1;
1653:     }
1654:     PetscDualSpaceGetDimension(Q, &fpdim);
1655:     /* For each fine grid cell */
1656:     for (cell = cStart; cell < cEnd; ++cell) {
1657:       PetscInt *findices,   *cindices;
1658:       PetscInt  numFIndices, numCIndices;

1660:       DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);
1661:       DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ);
1662:       if (numFIndices != fpdim*Nc) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fine indices %d != %d dual basis vecs", numFIndices, fpdim*Nc);
1663:       for (i = 0; i < fpdim; ++i) {
1664:         Vec             pointVec;
1665:         PetscScalar    *pV;
1666:         PetscSF         coarseCellSF = NULL;
1667:         const PetscSFNode *coarseCells;
1668:         PetscInt        numCoarseCells, cpdim, q, c, j;

1670:         /* Get points from the dual basis functional quadrature */
1671:         PetscDualSpaceGetFunctional(Q, i, &f);
1672:         PetscQuadratureGetData(f, NULL, &Np, &qpoints, &qweights);
1673:         VecCreateSeq(PETSC_COMM_SELF, Np*dim, &pointVec);
1674:         VecSetBlockSize(pointVec, dim);
1675:         VecGetArray(pointVec, &pV);
1676:         for (q = 0; q < Np; ++q) {
1677:           /* Transform point to real space */
1678:           CoordinatesRefToReal(dim, dim, v0, J, &qpoints[q*dim], x);
1679:           for (d = 0; d < dim; ++d) pV[q*dim+d] = x[d];
1680:         }
1681:         VecRestoreArray(pointVec, &pV);
1682:         /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
1683:         DMLocatePoints(dmc, pointVec, &coarseCellSF);
1684:         /* Update preallocation info */
1685:         PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells);
1686:         if (numCoarseCells != Np) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not all closure points located");
1687:         VecGetArray(pointVec, &pV);
1688:         for (ccell = 0; ccell < numCoarseCells; ++ccell) {
1689:           PetscReal pVReal[3];

1691:           DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);
1692:           /* Transform points from real space to coarse reference space */
1693:           DMPlexComputeCellGeometryFEM(dmc, coarseCells[ccell].index, NULL, v0c, Jc, invJc, &detJc);
1694:           for (d = 0; d < dim; ++d) pVReal[d] = PetscRealPart(pV[ccell*dim+d]);
1695:           CoordinatesRealToRef(dim, dim, v0c, invJc, pVReal, x);

1697:           if (id == PETSCFE_CLASSID) {
1698:             PetscFE    fe = (PetscFE) obj;
1699:             PetscReal *B;

1701:             /* Evaluate coarse basis on contained point */
1702:             PetscFEGetDimension(fe, &cpdim);
1703:             PetscFEGetTabulation(fe, 1, x, &B, NULL, NULL);
1704:             /* Get elemMat entries by multiplying by weight */
1705:             for (j = 0; j < cpdim; ++j) {
1706:               for (c = 0; c < Nc; ++c) elemMat[(c*cpdim + j)*Nc + c] = B[j*Nc + c]*qweights[ccell];
1707:             }
1708:             PetscFERestoreTabulation(fe, 1, x, &B, NULL, NULL);
1709:           } else {
1710:             cpdim = 1;
1711:             for (j = 0; j < cpdim; ++j) {
1712:               for (c = 0; c < Nc; ++c) elemMat[(c*cpdim + j)*Nc + c] = 1.0*qweights[ccell];
1713:             }
1714:           }
1715:           /* Update interpolator */
1716:           if (mesh->printFEM > 1) {DMPrintCellMatrix(cell, name, Nc, numCIndices, elemMat);}
1717:           MatSetValues(In, Nc, &findices[i*Nc], numCIndices, cindices, elemMat, INSERT_VALUES);
1718:           DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);
1719:         }
1720:         VecRestoreArray(pointVec, &pV);
1721:         PetscSFDestroy(&coarseCellSF);
1722:         VecDestroy(&pointVec);
1723:       }
1724:       DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);
1725:     }
1726:   }
1727:   PetscFree3(v0,J,invJ);
1728:   PetscFree3(v0c,Jc,invJc);
1729:   PetscFree(elemMat);
1730:   MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);
1731:   MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);
1732:   PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1733:   return(0);
1734: }

1738: PetscErrorCode DMPlexComputeInjectorFEM(DM dmc, DM dmf, VecScatter *sc, void *user)
1739: {
1740:   PetscDS        prob;
1741:   PetscFE       *feRef;
1742:   PetscFV       *fvRef;
1743:   Vec            fv, cv;
1744:   IS             fis, cis;
1745:   PetscSection   fsection, fglobalSection, csection, cglobalSection;
1746:   PetscInt      *cmap, *cellCIndices, *cellFIndices, *cindices, *findices;
1747:   PetscInt       cTotDim, fTotDim = 0, Nf, f, field, cStart, cEnd, cEndInterior, c, dim, d, startC, endC, offsetC, offsetF, m;

1751:   PetscLogEventBegin(DMPLEX_InjectorFEM,dmc,dmf,0,0);
1752:   DMGetDimension(dmf, &dim);
1753:   DMGetDefaultSection(dmf, &fsection);
1754:   DMGetDefaultGlobalSection(dmf, &fglobalSection);
1755:   DMGetDefaultSection(dmc, &csection);
1756:   DMGetDefaultGlobalSection(dmc, &cglobalSection);
1757:   PetscSectionGetNumFields(fsection, &Nf);
1758:   DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);
1759:   DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);
1760:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1761:   DMGetDS(dmc, &prob);
1762:   PetscCalloc2(Nf,&feRef,Nf,&fvRef);
1763:   for (f = 0; f < Nf; ++f) {
1764:     PetscObject  obj;
1765:     PetscClassId id;
1766:     PetscInt     fNb = 0, Nc = 0;

1768:     PetscDSGetDiscretization(prob, f, &obj);
1769:     PetscObjectGetClassId(obj, &id);
1770:     if (id == PETSCFE_CLASSID) {
1771:       PetscFE fe = (PetscFE) obj;

1773:       PetscFERefine(fe, &feRef[f]);
1774:       PetscFEGetDimension(feRef[f], &fNb);
1775:       PetscFEGetNumComponents(fe, &Nc);
1776:     } else if (id == PETSCFV_CLASSID) {
1777:       PetscFV        fv = (PetscFV) obj;
1778:       PetscDualSpace Q;

1780:       PetscFVRefine(fv, &fvRef[f]);
1781:       PetscFVGetDualSpace(fvRef[f], &Q);
1782:       PetscDualSpaceGetDimension(Q, &fNb);
1783:       PetscFVGetNumComponents(fv, &Nc);
1784:     }
1785:     fTotDim += fNb*Nc;
1786:   }
1787:   PetscDSGetTotalDimension(prob, &cTotDim);
1788:   PetscMalloc1(cTotDim,&cmap);
1789:   for (field = 0, offsetC = 0, offsetF = 0; field < Nf; ++field) {
1790:     PetscFE        feC;
1791:     PetscFV        fvC;
1792:     PetscDualSpace QF, QC;
1793:     PetscInt       NcF, NcC, fpdim, cpdim;

1795:     if (feRef[field]) {
1796:       PetscDSGetDiscretization(prob, field, (PetscObject *) &feC);
1797:       PetscFEGetNumComponents(feC, &NcC);
1798:       PetscFEGetNumComponents(feRef[field], &NcF);
1799:       PetscFEGetDualSpace(feRef[field], &QF);
1800:       PetscDualSpaceGetDimension(QF, &fpdim);
1801:       PetscFEGetDualSpace(feC, &QC);
1802:       PetscDualSpaceGetDimension(QC, &cpdim);
1803:     } else {
1804:       PetscDSGetDiscretization(prob, field, (PetscObject *) &fvC);
1805:       PetscFVGetNumComponents(fvC, &NcC);
1806:       PetscFVGetNumComponents(fvRef[field], &NcF);
1807:       PetscFVGetDualSpace(fvRef[field], &QF);
1808:       PetscDualSpaceGetDimension(QF, &fpdim);
1809:       PetscFVGetDualSpace(fvC, &QC);
1810:       PetscDualSpaceGetDimension(QC, &cpdim);
1811:     }
1812:     if (NcF != NcC) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %d does not match coarse field %d", NcF, NcC);
1813:     for (c = 0; c < cpdim; ++c) {
1814:       PetscQuadrature  cfunc;
1815:       const PetscReal *cqpoints;
1816:       PetscInt         NpC;
1817:       PetscBool        found = PETSC_FALSE;

1819:       PetscDualSpaceGetFunctional(QC, c, &cfunc);
1820:       PetscQuadratureGetData(cfunc, NULL, &NpC, &cqpoints, NULL);
1821:       if (NpC != 1 && feRef[field]) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Do not know how to do injection for moments");
1822:       for (f = 0; f < fpdim; ++f) {
1823:         PetscQuadrature  ffunc;
1824:         const PetscReal *fqpoints;
1825:         PetscReal        sum = 0.0;
1826:         PetscInt         NpF, comp;

1828:         PetscDualSpaceGetFunctional(QF, f, &ffunc);
1829:         PetscQuadratureGetData(ffunc, NULL, &NpF, &fqpoints, NULL);
1830:         if (NpC != NpF) continue;
1831:         for (d = 0; d < dim; ++d) sum += PetscAbsReal(cqpoints[d] - fqpoints[d]);
1832:         if (sum > 1.0e-9) continue;
1833:         for (comp = 0; comp < NcC; ++comp) {
1834:           cmap[(offsetC+c)*NcC+comp] = (offsetF+f)*NcF+comp;
1835:         }
1836:         found = PETSC_TRUE;
1837:         break;
1838:       }
1839:       if (!found) {
1840:         /* TODO We really want the average here, but some asshole put VecScatter in the interface */
1841:         if (fvRef[field]) {
1842:           PetscInt comp;
1843:           for (comp = 0; comp < NcC; ++comp) {
1844:             cmap[(offsetC+c)*NcC+comp] = (offsetF+0)*NcF+comp;
1845:           }
1846:         } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not locate matching functional for injection");
1847:       }
1848:     }
1849:     offsetC += cpdim*NcC;
1850:     offsetF += fpdim*NcF;
1851:   }
1852:   for (f = 0; f < Nf; ++f) {PetscFEDestroy(&feRef[f]);PetscFVDestroy(&fvRef[f]);}
1853:   PetscFree2(feRef,fvRef);

1855:   DMGetGlobalVector(dmf, &fv);
1856:   DMGetGlobalVector(dmc, &cv);
1857:   VecGetOwnershipRange(cv, &startC, &endC);
1858:   PetscSectionGetConstrainedStorageSize(cglobalSection, &m);
1859:   PetscMalloc2(cTotDim,&cellCIndices,fTotDim,&cellFIndices);
1860:   PetscMalloc1(m,&cindices);
1861:   PetscMalloc1(m,&findices);
1862:   for (d = 0; d < m; ++d) cindices[d] = findices[d] = -1;
1863:   for (c = cStart; c < cEnd; ++c) {
1864:     DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, c, cellCIndices, cellFIndices);
1865:     for (d = 0; d < cTotDim; ++d) {
1866:       if ((cellCIndices[d] < startC) || (cellCIndices[d] >= endC)) continue;
1867:       if ((findices[cellCIndices[d]-startC] >= 0) && (findices[cellCIndices[d]-startC] != cellFIndices[cmap[d]])) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Coarse dof %d maps to both %d and %d", cindices[cellCIndices[d]-startC], findices[cellCIndices[d]-startC], cellFIndices[cmap[d]]);
1868:       cindices[cellCIndices[d]-startC] = cellCIndices[d];
1869:       findices[cellCIndices[d]-startC] = cellFIndices[cmap[d]];
1870:     }
1871:   }
1872:   PetscFree(cmap);
1873:   PetscFree2(cellCIndices,cellFIndices);

1875:   ISCreateGeneral(PETSC_COMM_SELF, m, cindices, PETSC_OWN_POINTER, &cis);
1876:   ISCreateGeneral(PETSC_COMM_SELF, m, findices, PETSC_OWN_POINTER, &fis);
1877:   VecScatterCreate(cv, cis, fv, fis, sc);
1878:   ISDestroy(&cis);
1879:   ISDestroy(&fis);
1880:   DMRestoreGlobalVector(dmf, &fv);
1881:   DMRestoreGlobalVector(dmc, &cv);
1882:   PetscLogEventEnd(DMPLEX_InjectorFEM,dmc,dmf,0,0);
1883:   return(0);
1884: }