Actual source code: plexfem.c

petsc-master 2015-07-06
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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, 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, const PetscReal *, PetscInt, PetscScalar *, void *) = DMPlexProjectRigidBody;

159:     ctx[0] = dimEmbed;
160:     ctx[1] = d;
161:     DMPlexProjectFunction(dm, &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(), DMPlexProjectFunctionLocal(), DMPlexProjectFunctionLabelLocal()
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(), DMPlexProjectFunctionLocal(), DMPlexProjectFunctionLabelLocal()
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 DMPlexProjectFunctionLabelLocal(DM dm, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscErrorCode (**funcs)(PetscInt, 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:           PetscObjectReference((PetscObject) sp[f]);
278:         } else {
279:           PetscDualSpaceGetHeightSubspace(cellsp[f], h, &sp[f]);
280:           if (!sp[f]) continue;
281:         }
282:       } else if (id == PETSCFV_CLASSID) {
283:         PetscFV fv = (PetscFV) obj;

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

303:       DMLabelGetStratumIS(label, ids[i], &pointIS);
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, &geom, numComp[f], funcs[f], ctx, &values[v]);
322:             } else {
323:               for (comp = 0; comp < numComp[f]; ++comp) values[v+comp] = 0.0;
324:             }
325:             v += numComp[f];
326:           }
327:         }
328:         DMPlexVecSetFieldClosure_Internal(dm, section, localX, fieldActive, point, values, mode);
329:       }
330:       ISRestoreIndices(pointIS, &points);
331:       ISDestroy(&pointIS);
332:     }
333:     if (h) {
334:       for (f = 0; f < numFields; ++f) {PetscDualSpaceDestroy(&sp[f]);}
335:     }
336:   }
337:   DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
338:   DMRestoreWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);
339:   for (f = 0; f < numFields; ++f) {PetscDualSpaceDestroy(&sp[f]);}
340:   PetscFree2(sp, numComp);
341:   if (maxHeight > 0) {
342:     PetscFree(cellsp);
343:   }
344:   return(0);
345: }

349: PetscErrorCode DMPlexProjectFunctionLocal(DM dm, PetscErrorCode (**funcs)(PetscInt, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, InsertMode mode, Vec localX)
350: {
351:   PetscDualSpace *sp, *cellsp;
352:   PetscInt       *numComp;
353:   PetscSection    section;
354:   PetscScalar    *values;
355:   PetscInt        Nf, dim, dimEmbed, spDim, totDim = 0, numValues, pStart, pEnd, p, cStart, cEnd, cEndInterior, f, d, v, comp, h, maxHeight;
356:   PetscErrorCode  ierr;

359:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
360:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
361:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
362:   if (cEnd <= cStart) return(0);
363:   DMGetDefaultSection(dm, &section);
364:   PetscSectionGetNumFields(section, &Nf);
365:   PetscMalloc2(Nf, &sp, Nf, &numComp);
366:   DMGetDimension(dm, &dim);
367:   DMGetCoordinateDim(dm, &dimEmbed);
368:   DMPlexGetMaxProjectionHeight(dm,&maxHeight);
369:   if (maxHeight < 0 || maxHeight > dim) {SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_USER,"maximum projection height %d not in [0, %d)\n", maxHeight,dim);}
370:   if (maxHeight > 0) {
371:     PetscMalloc1(Nf,&cellsp);
372:   }
373:   else {
374:     cellsp = sp;
375:   }
376:   for (h = 0; h <= maxHeight; h++) {
377:     DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);
378:     if (!h) {pStart = cStart; pEnd = cEnd;}
379:     if (pEnd <= pStart) continue;
380:     totDim = 0;
381:     for (f = 0; f < Nf; ++f) {
382:       PetscObject  obj;
383:       PetscClassId id;

385:       DMGetField(dm, f, &obj);
386:       PetscObjectGetClassId(obj, &id);
387:       if (id == PETSCFE_CLASSID) {
388:         PetscFE fe = (PetscFE) obj;

390:         PetscFEGetNumComponents(fe, &numComp[f]);
391:         if (!h) {
392:           PetscFEGetDualSpace(fe, &cellsp[f]);
393:           sp[f] = cellsp[f];
394:           PetscObjectReference((PetscObject) sp[f]);
395:         }
396:         else {
397:           PetscDualSpaceGetHeightSubspace(cellsp[f], h, &sp[f]);
398:           if (!sp[f]) {
399:             continue;
400:           }
401:         }
402:       } else if (id == PETSCFV_CLASSID) {
403:         PetscFV fv = (PetscFV) obj;

405:         if (h) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP, "Projection height > 0 not supported for finite volume");
406:         PetscFVGetNumComponents(fv, &numComp[f]);
407:         PetscFVGetDualSpace(fv, &sp[f]);
408:         PetscObjectReference((PetscObject) sp[f]);
409:       } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
410:       PetscDualSpaceGetDimension(sp[f], &spDim);
411:       totDim += spDim*numComp[f];
412:     }
413:     DMPlexVecGetClosure(dm, section, localX, pStart, &numValues, NULL);
414:     if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section point closure size %d != dual space dimension %d", numValues, totDim);
415:     if (!totDim) continue;
416:     DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);
417:     for (p = pStart; p < pEnd; ++p) {
418:       PetscFECellGeom geom;

420:       DMPlexComputeCellGeometryFEM(dm, p, NULL, geom.v0, geom.J, NULL, &geom.detJ);
421:       geom.dim      = dim - h;
422:       geom.dimEmbed = dimEmbed;
423:       for (f = 0, v = 0; f < Nf; ++f) {
424:         void * const ctx = ctxs ? ctxs[f] : NULL;

426:         if (!sp[f]) continue;
427:         PetscDualSpaceGetDimension(sp[f], &spDim);
428:         for (d = 0; d < spDim; ++d) {
429:           if (funcs[f]) {
430:             PetscDualSpaceApply(sp[f], d, &geom, numComp[f], funcs[f], ctx, &values[v]);
431:           } else {
432:             for (comp = 0; comp < numComp[f]; ++comp) values[v+comp] = 0.0;
433:           }
434:           v += numComp[f];
435:         }
436:       }
437:       DMPlexVecSetClosure(dm, section, localX, p, values, mode);
438:     }
439:     DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
440:     if (h || !maxHeight) {
441:       for (f = 0; f < Nf; f++) {PetscDualSpaceDestroy(&sp[f]);}
442:     }
443:   }
444:   PetscFree2(sp, numComp);
445:   if (maxHeight > 0) {
446:     for (f = 0; f < Nf; f++) {PetscDualSpaceDestroy(&cellsp[f]);}
447:     PetscFree(cellsp);
448:   }
449:   return(0);
450: }

454: /*@C
455:   DMPlexProjectFunction - This projects the given function into the function space provided.

457:   Input Parameters:
458: + dm      - The DM
459: . funcs   - The coordinate functions to evaluate, one per field
460: . ctxs    - Optional array of contexts to pass to each coordinate function.  ctxs itself may be null.
461: - mode    - The insertion mode for values

463:   Output Parameter:
464: . X - vector

466:    Calling sequence of func:
467: $    func(PetscInt dim, const PetscReal x[], PetscInt Nf, PetscScalar u[], void *ctx);

469: +  dim - The spatial dimension
470: .  x   - The coordinates
471: .  Nf  - The number of fields
472: .  u   - The output field values
473: -  ctx - optional user-defined function context

475:   Level: developer

477: .seealso: DMPlexComputeL2Diff()
478: @*/
479: PetscErrorCode DMPlexProjectFunction(DM dm, PetscErrorCode (**funcs)(PetscInt, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, InsertMode mode, Vec X)
480: {
481:   Vec            localX;

486:   DMGetLocalVector(dm, &localX);
487:   DMPlexProjectFunctionLocal(dm, funcs, ctxs, mode, localX);
488:   DMLocalToGlobalBegin(dm, localX, mode, X);
489:   DMLocalToGlobalEnd(dm, localX, mode, X);
490:   DMRestoreLocalVector(dm, &localX);
491:   return(0);
492: }

496: PetscErrorCode DMPlexProjectFieldLocal(DM dm, Vec localU, void (**funcs)(const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscReal [], PetscScalar []), InsertMode mode, Vec localX)
497: {
498:   DM                dmAux;
499:   PetscDS           prob, probAux = NULL;
500:   Vec               A;
501:   PetscSection      section, sectionAux = NULL;
502:   PetscDualSpace   *sp;
503:   PetscInt         *Ncf;
504:   PetscScalar      *values, *u, *u_x, *a, *a_x;
505:   PetscReal        *x, *v0, *J, *invJ, detJ;
506:   PetscInt          Nf, dim, spDim, totDim, numValues, cStart, cEnd, cEndInterior, c, f, d, v, comp, maxHeight;
507:   PetscErrorCode    ierr;

510:   DMPlexGetMaxProjectionHeight(dm,&maxHeight);
511:   if (maxHeight > 0) {SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Field projection for height > 0 not supported yet");}
512:   DMGetDS(dm, &prob);
513:   DMGetDimension(dm, &dim);
514:   DMGetDefaultSection(dm, &section);
515:   PetscSectionGetNumFields(section, &Nf);
516:   PetscMalloc2(Nf, &sp, Nf, &Ncf);
517:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
518:   PetscDSGetTotalDimension(prob, &totDim);
519:   PetscDSGetEvaluationArrays(prob, &u, NULL, &u_x);
520:   PetscDSGetRefCoordArrays(prob, &x, NULL);
521:   PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);
522:   PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);
523:   if (dmAux) {
524:     DMGetDS(dmAux, &probAux);
525:     DMGetDefaultSection(dmAux, &sectionAux);
526:     PetscDSGetEvaluationArrays(probAux, &a, NULL, &a_x);
527:   }
528:   DMPlexInsertBoundaryValues(dm, localU, 0.0, NULL, NULL, NULL);
529:   DMPlexVecGetClosure(dm, section, localX, cStart, &numValues, NULL);
530:   if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section cell closure size %d != dual space dimension %d", numValues, totDim);
531:   DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);
532:   PetscMalloc3(dim,&v0,dim*dim,&J,dim*dim,&invJ);
533:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
534:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
535:   for (c = cStart; c < cEnd; ++c) {
536:     PetscScalar *coefficients = NULL, *coefficientsAux = NULL;

538:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
539:     DMPlexVecGetClosure(dm, section, localU, c, NULL, &coefficients);
540:     if (dmAux) {DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);}
541:     for (f = 0, v = 0; f < Nf; ++f) {
542:       PetscObject  obj;
543:       PetscClassId id;

545:       PetscDSGetDiscretization(prob, f, &obj);
546:       PetscObjectGetClassId(obj, &id);
547:       if (id == PETSCFE_CLASSID) {
548:         PetscFE fe = (PetscFE) obj;

550:         PetscFEGetDualSpace(fe, &sp[f]);
551:         PetscObjectReference((PetscObject) sp[f]);
552:         PetscFEGetNumComponents(fe, &Ncf[f]);
553:       } else if (id == PETSCFV_CLASSID) {
554:         PetscFV fv = (PetscFV) obj;

556:         PetscFVGetNumComponents(fv, &Ncf[f]);
557:         PetscFVGetDualSpace(fv, &sp[f]);
558:         PetscObjectReference((PetscObject) sp[f]);
559:       }
560:       PetscDualSpaceGetDimension(sp[f], &spDim);
561:       for (d = 0; d < spDim; ++d) {
562:         PetscQuadrature  quad;
563:         const PetscReal *points, *weights;
564:         PetscInt         numPoints, q;

566:         if (funcs[f]) {
567:           PetscDualSpaceGetFunctional(sp[f], d, &quad);
568:           PetscQuadratureGetData(quad, NULL, &numPoints, &points, &weights);
569:           for (q = 0; q < numPoints; ++q) {
570:             CoordinatesRefToReal(dim, dim, v0, J, &points[q*dim], x);
571:             EvaluateFieldJets(prob,    PETSC_FALSE, q, invJ, coefficients,    NULL, u, u_x, NULL);
572:             EvaluateFieldJets(probAux, PETSC_FALSE, q, invJ, coefficientsAux, NULL, a, a_x, NULL);
573:             (*funcs[f])(u, NULL, u_x, a, NULL, a_x, x, &values[v]);
574:           }
575:         } else {
576:           for (comp = 0; comp < Ncf[f]; ++comp) values[v+comp] = 0.0;
577:         }
578:         v += Ncf[f];
579:       }
580:     }
581:     DMPlexVecRestoreClosure(dm, section, localU, c, NULL, &coefficients);
582:     if (dmAux) {DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);}
583:     DMPlexVecSetClosure(dm, section, localX, c, values, mode);
584:   }
585:   DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);
586:   PetscFree3(v0,J,invJ);
587:   for (f = 0; f < Nf; f++) {PetscDualSpaceDestroy(&sp[f]);}
588:   PetscFree2(sp, Ncf);
589:   return(0);
590: }

594: static PetscErrorCode DMPlexInsertBoundaryValues_FEM_Internal(DM dm, PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscInt, const PetscReal[], PetscInt, PetscScalar *, void *), void *ctx, Vec locX)
595: {
596:   PetscErrorCode (**funcs)(PetscInt, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx);
597:   void            **ctxs;
598:   PetscInt          numFields;
599:   PetscErrorCode    ierr;

602:   DMGetNumFields(dm, &numFields);
603:   PetscCalloc2(numFields,&funcs,numFields,&ctxs);
604:   funcs[field] = func;
605:   ctxs[field]  = ctx;
606:   DMPlexProjectFunctionLabelLocal(dm, label, numids, ids, funcs, ctxs, INSERT_BC_VALUES, locX);
607:   PetscFree2(funcs,ctxs);
608:   return(0);
609: }

613: /* This ignores numcomps/comps */
614: static PetscErrorCode DMPlexInsertBoundaryValues_FVM_Internal(DM dm, PetscReal time, Vec faceGeometry, Vec cellGeometry, Vec Grad,
615:                                                               PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*), void *ctx, Vec locX)
616: {
617:   PetscDS            prob;
618:   PetscSF            sf;
619:   DM                 dmFace, dmCell, dmGrad;
620:   const PetscScalar *facegeom, *cellgeom, *grad;
621:   const PetscInt    *leaves;
622:   PetscScalar       *x, *fx;
623:   PetscInt           dim, nleaves, loc, fStart, fEnd, pdim, i;
624:   PetscErrorCode     ierr;

627:   DMGetPointSF(dm, &sf);
628:   PetscSFGetGraph(sf, NULL, &nleaves, &leaves, NULL);
629:   nleaves = PetscMax(0, nleaves);
630:   DMGetDimension(dm, &dim);
631:   DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);
632:   DMGetDS(dm, &prob);
633:   VecGetDM(faceGeometry, &dmFace);
634:   VecGetArrayRead(faceGeometry, &facegeom);
635:   VecGetDM(cellGeometry, &dmCell);
636:   VecGetArrayRead(cellGeometry, &cellgeom);
637:   if (Grad) {
638:     PetscFV fv;

640:     PetscDSGetDiscretization(prob, field, (PetscObject *) &fv);
641:     VecGetDM(Grad, &dmGrad);
642:     VecGetArrayRead(Grad, &grad);
643:     PetscFVGetNumComponents(fv, &pdim);
644:     DMGetWorkArray(dm, pdim, PETSC_SCALAR, &fx);
645:   }
646:   VecGetArray(locX, &x);
647:   for (i = 0; i < numids; ++i) {
648:     IS              faceIS;
649:     const PetscInt *faces;
650:     PetscInt        numFaces, f;

652:     DMLabelGetStratumIS(label, ids[i], &faceIS);
653:     if (!faceIS) continue; /* No points with that id on this process */
654:     ISGetLocalSize(faceIS, &numFaces);
655:     ISGetIndices(faceIS, &faces);
656:     for (f = 0; f < numFaces; ++f) {
657:       const PetscInt         face = faces[f], *cells;
658:       const PetscFVFaceGeom *fg;

660:       if ((face < fStart) || (face >= fEnd)) continue; /* Refinement adds non-faces to labels */
661:       PetscFindInt(face, nleaves, (PetscInt *) leaves, &loc);
662:       if (loc >= 0) continue;
663:       DMPlexPointLocalRead(dmFace, face, facegeom, &fg);
664:       DMPlexGetSupport(dm, face, &cells);
665:       if (Grad) {
666:         const PetscFVCellGeom *cg;
667:         const PetscScalar     *cx, *cgrad;
668:         PetscScalar           *xG;
669:         PetscReal              dx[3];
670:         PetscInt               d;

672:         DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cg);
673:         DMPlexPointLocalRead(dm, cells[0], x, &cx);
674:         DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad);
675:         DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);
676:         DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, fg->centroid, dx);
677:         for (d = 0; d < pdim; ++d) fx[d] = cx[d] + DMPlex_DotD_Internal(dim, &cgrad[d*dim], dx);
678:         (*func)(time, fg->centroid, fg->normal, fx, xG, ctx);
679:       } else {
680:         const PetscScalar *xI;
681:         PetscScalar       *xG;

683:         DMPlexPointLocalRead(dm, cells[0], x, &xI);
684:         DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);
685:         (*func)(time, fg->centroid, fg->normal, xI, xG, ctx);
686:       }
687:     }
688:     ISRestoreIndices(faceIS, &faces);
689:     ISDestroy(&faceIS);
690:   }
691:   VecRestoreArray(locX, &x);
692:   if (Grad) {
693:     DMRestoreWorkArray(dm, pdim, PETSC_SCALAR, &fx);
694:     VecRestoreArrayRead(Grad, &grad);
695:   }
696:   VecRestoreArrayRead(cellGeometry, &cellgeom);
697:   VecRestoreArrayRead(faceGeometry, &facegeom);
698:   return(0);
699: }

703: PetscErrorCode DMPlexInsertBoundaryValues(DM dm, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
704: {
705:   PetscInt       numBd, b;

714:   DMPlexGetNumBoundary(dm, &numBd);
715:   for (b = 0; b < numBd; ++b) {
716:     PetscBool       isEssential;
717:     const char     *labelname;
718:     DMLabel         label;
719:     PetscInt        field;
720:     PetscObject     obj;
721:     PetscClassId    id;
722:     void          (*func)();
723:     PetscInt        numids;
724:     const PetscInt *ids;
725:     void           *ctx;

727:     DMPlexGetBoundary(dm, b, &isEssential, NULL, &labelname, &field, NULL, NULL, &func, &numids, &ids, &ctx);
728:     if (!isEssential) continue;
729:     DMPlexGetLabel(dm, labelname, &label);
730:     DMGetField(dm, field, &obj);
731:     PetscObjectGetClassId(obj, &id);
732:     if (id == PETSCFE_CLASSID) {
733:       DMPlexInsertBoundaryValues_FEM_Internal(dm, field, label, numids, ids, (PetscErrorCode (*)(PetscInt, const PetscReal[], PetscInt, PetscScalar *, void *)) func, ctx, locX);
734:     } else if (id == PETSCFV_CLASSID) {
735:       if (!faceGeomFVM) continue;
736:       DMPlexInsertBoundaryValues_FVM_Internal(dm, time, faceGeomFVM, cellGeomFVM, gradFVM,
737:                                                      field, label, numids, ids, (PetscErrorCode (*)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*)) func, ctx, locX);
738:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
739:   }
740:   return(0);
741: }

745: /*@C
746:   DMPlexComputeL2Diff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h.

748:   Input Parameters:
749: + dm    - The DM
750: . funcs - The functions to evaluate for each field component
751: . ctxs  - Optional array of contexts to pass to each function, or NULL.
752: - X     - The coefficient vector u_h

754:   Output Parameter:
755: . diff - The diff ||u - u_h||_2

757:   Level: developer

759: .seealso: DMPlexProjectFunction(), DMPlexComputeL2FieldDiff(), DMPlexComputeL2GradientDiff()
760: @*/
761: PetscErrorCode DMPlexComputeL2Diff(DM dm, PetscErrorCode (**funcs)(PetscInt, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
762: {
763:   const PetscInt   debug = 0;
764:   PetscSection     section;
765:   PetscQuadrature  quad;
766:   Vec              localX;
767:   PetscScalar     *funcVal, *interpolant;
768:   PetscReal       *coords, *v0, *J, *invJ, detJ;
769:   PetscReal        localDiff = 0.0;
770:   const PetscReal *quadPoints, *quadWeights;
771:   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, cEndInterior, c, field, fieldOffset;
772:   PetscErrorCode   ierr;

775:   DMGetDimension(dm, &dim);
776:   DMGetDefaultSection(dm, &section);
777:   PetscSectionGetNumFields(section, &numFields);
778:   DMGetLocalVector(dm, &localX);
779:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
780:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
781:   for (field = 0; field < numFields; ++field) {
782:     PetscObject  obj;
783:     PetscClassId id;
784:     PetscInt     Nc;

786:     DMGetField(dm, field, &obj);
787:     PetscObjectGetClassId(obj, &id);
788:     if (id == PETSCFE_CLASSID) {
789:       PetscFE fe = (PetscFE) obj;

791:       PetscFEGetQuadrature(fe, &quad);
792:       PetscFEGetNumComponents(fe, &Nc);
793:     } else if (id == PETSCFV_CLASSID) {
794:       PetscFV fv = (PetscFV) obj;

796:       PetscFVGetQuadrature(fv, &quad);
797:       PetscFVGetNumComponents(fv, &Nc);
798:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
799:     numComponents += Nc;
800:   }
801:   PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
802:   DMPlexProjectFunctionLocal(dm, funcs, ctxs, INSERT_BC_VALUES, localX);
803:   PetscMalloc6(numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);
804:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
805:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
806:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
807:   for (c = cStart; c < cEnd; ++c) {
808:     PetscScalar *x = NULL;
809:     PetscReal    elemDiff = 0.0;

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

815:     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
816:       PetscObject  obj;
817:       PetscClassId id;
818:       void * const ctx = ctxs ? ctxs[field] : NULL;
819:       PetscInt     Nb, Nc, q, fc;

821:       DMGetField(dm, field, &obj);
822:       PetscObjectGetClassId(obj, &id);
823:       if (id == PETSCFE_CLASSID)      {PetscFEGetNumComponents((PetscFE) obj, &Nc);PetscFEGetDimension((PetscFE) obj, &Nb);}
824:       else if (id == PETSCFV_CLASSID) {PetscFVGetNumComponents((PetscFV) obj, &Nc);Nb = 1;}
825:       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
826:       if (debug) {
827:         char title[1024];
828:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
829:         DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);
830:       }
831:       for (q = 0; q < numQuadPoints; ++q) {
832:         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
833:         (*funcs[field])(dim, coords, numFields, funcVal, ctx);
834:         if (id == PETSCFE_CLASSID)      {PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);}
835:         else if (id == PETSCFV_CLASSID) {PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);}
836:         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
837:         for (fc = 0; fc < Nc; ++fc) {
838:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);}
839:           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
840:         }
841:       }
842:       fieldOffset += Nb*Nc;
843:     }
844:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
845:     if (debug) {PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);}
846:     localDiff += elemDiff;
847:   }
848:   PetscFree6(funcVal,interpolant,coords,v0,J,invJ);
849:   DMRestoreLocalVector(dm, &localX);
850:   MPI_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
851:   *diff = PetscSqrtReal(*diff);
852:   return(0);
853: }

857: /*@C
858:   DMPlexComputeL2GradientDiff - This function computes the L_2 difference between the gradient of a function u and an FEM interpolant solution grad u_h.

860:   Input Parameters:
861: + dm    - The DM
862: . funcs - The gradient functions to evaluate for each field component
863: . ctxs  - Optional array of contexts to pass to each function, or NULL.
864: . X     - The coefficient vector u_h
865: - n     - The vector to project along

867:   Output Parameter:
868: . diff - The diff ||(grad u - grad u_h) . n||_2

870:   Level: developer

872: .seealso: DMPlexProjectFunction(), DMPlexComputeL2Diff()
873: @*/
874: PetscErrorCode DMPlexComputeL2GradientDiff(DM dm, PetscErrorCode (**funcs)(PetscInt, const PetscReal [], const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, const PetscReal n[], PetscReal *diff)
875: {
876:   const PetscInt  debug = 0;
877:   PetscSection    section;
878:   PetscQuadrature quad;
879:   Vec             localX;
880:   PetscScalar    *funcVal, *interpolantVec;
881:   PetscReal      *coords, *realSpaceDer, *v0, *J, *invJ, detJ;
882:   PetscReal       localDiff = 0.0;
883:   PetscInt        dim, numFields, numComponents = 0, cStart, cEnd, cEndInterior, c, field, fieldOffset, comp;
884:   PetscErrorCode  ierr;

887:   DMGetDimension(dm, &dim);
888:   DMGetDefaultSection(dm, &section);
889:   PetscSectionGetNumFields(section, &numFields);
890:   DMGetLocalVector(dm, &localX);
891:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
892:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
893:   for (field = 0; field < numFields; ++field) {
894:     PetscFE  fe;
895:     PetscInt Nc;

897:     DMGetField(dm, field, (PetscObject *) &fe);
898:     PetscFEGetQuadrature(fe, &quad);
899:     PetscFEGetNumComponents(fe, &Nc);
900:     numComponents += Nc;
901:   }
902:   /* DMPlexProjectFunctionLocal(dm, fe, funcs, INSERT_BC_VALUES, localX); */
903:   PetscMalloc7(numComponents,&funcVal,dim,&coords,dim,&realSpaceDer,dim,&v0,dim*dim,&J,dim*dim,&invJ,dim,&interpolantVec);
904:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
905:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
906:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
907:   for (c = cStart; c < cEnd; ++c) {
908:     PetscScalar *x = NULL;
909:     PetscReal    elemDiff = 0.0;

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

915:     for (field = 0, comp = 0, fieldOffset = 0; field < numFields; ++field) {
916:       PetscFE          fe;
917:       void * const     ctx = ctxs ? ctxs[field] : NULL;
918:       const PetscReal *quadPoints, *quadWeights;
919:       PetscReal       *basisDer;
920:       PetscInt         numQuadPoints, Nb, Ncomp, q, d, e, fc, f, g;

922:       DMGetField(dm, field, (PetscObject *) &fe);
923:       PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
924:       PetscFEGetDimension(fe, &Nb);
925:       PetscFEGetNumComponents(fe, &Ncomp);
926:       PetscFEGetDefaultTabulation(fe, NULL, &basisDer, NULL);
927:       if (debug) {
928:         char title[1024];
929:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
930:         DMPrintCellVector(c, title, Nb*Ncomp, &x[fieldOffset]);
931:       }
932:       for (q = 0; q < numQuadPoints; ++q) {
933:         for (d = 0; d < dim; d++) {
934:           coords[d] = v0[d];
935:           for (e = 0; e < dim; e++) {
936:             coords[d] += J[d*dim+e]*(quadPoints[q*dim+e] + 1.0);
937:           }
938:         }
939:         (*funcs[field])(dim, coords, n, numFields, funcVal, ctx);
940:         for (fc = 0; fc < Ncomp; ++fc) {
941:           PetscScalar interpolant = 0.0;

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

947:             for (d = 0; d < dim; ++d) {
948:               realSpaceDer[d] = 0.0;
949:               for (g = 0; g < dim; ++g) {
950:                 realSpaceDer[d] += invJ[g*dim+d]*basisDer[(q*Nb*Ncomp+fidx)*dim+g];
951:               }
952:               interpolantVec[d] += x[fieldOffset+fidx]*realSpaceDer[d];
953:             }
954:           }
955:           for (d = 0; d < dim; ++d) interpolant += interpolantVec[d]*n[d];
956:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d fieldDer %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ);}
957:           elemDiff += PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ;
958:         }
959:       }
960:       comp        += Ncomp;
961:       fieldOffset += Nb*Ncomp;
962:     }
963:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
964:     if (debug) {PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);}
965:     localDiff += elemDiff;
966:   }
967:   PetscFree7(funcVal,coords,realSpaceDer,v0,J,invJ,interpolantVec);
968:   DMRestoreLocalVector(dm, &localX);
969:   MPI_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
970:   *diff = PetscSqrtReal(*diff);
971:   return(0);
972: }

976: /*@C
977:   DMPlexComputeL2FieldDiff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h, separated into field components.

979:   Input Parameters:
980: + dm    - The DM
981: . funcs - The functions to evaluate for each field component
982: . ctxs  - Optional array of contexts to pass to each function, or NULL.
983: - X     - The coefficient vector u_h

985:   Output Parameter:
986: . diff - The array of differences, ||u^f - u^f_h||_2

988:   Level: developer

990: .seealso: DMPlexProjectFunction(), DMPlexComputeL2Diff(), DMPlexComputeL2GradientDiff()
991: @*/
992: PetscErrorCode DMPlexComputeL2FieldDiff(DM dm, PetscErrorCode (**funcs)(PetscInt, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal diff[])
993: {
994:   const PetscInt   debug = 0;
995:   PetscSection     section;
996:   PetscQuadrature  quad;
997:   Vec              localX;
998:   PetscScalar     *funcVal, *interpolant;
999:   PetscReal       *coords, *v0, *J, *invJ, detJ;
1000:   PetscReal       *localDiff;
1001:   const PetscReal *quadPoints, *quadWeights;
1002:   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, cEndInterior, c, field, fieldOffset;
1003:   PetscErrorCode   ierr;

1006:   DMGetDimension(dm, &dim);
1007:   DMGetDefaultSection(dm, &section);
1008:   PetscSectionGetNumFields(section, &numFields);
1009:   DMGetLocalVector(dm, &localX);
1010:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
1011:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
1012:   for (field = 0; field < numFields; ++field) {
1013:     PetscObject  obj;
1014:     PetscClassId id;
1015:     PetscInt     Nc;

1017:     DMGetField(dm, field, &obj);
1018:     PetscObjectGetClassId(obj, &id);
1019:     if (id == PETSCFE_CLASSID) {
1020:       PetscFE fe = (PetscFE) obj;

1022:       PetscFEGetQuadrature(fe, &quad);
1023:       PetscFEGetNumComponents(fe, &Nc);
1024:     } else if (id == PETSCFV_CLASSID) {
1025:       PetscFV fv = (PetscFV) obj;

1027:       PetscFVGetQuadrature(fv, &quad);
1028:       PetscFVGetNumComponents(fv, &Nc);
1029:     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1030:     numComponents += Nc;
1031:   }
1032:   PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);
1033:   DMPlexProjectFunctionLocal(dm, funcs, ctxs, INSERT_BC_VALUES, localX);
1034:   PetscCalloc7(numFields,&localDiff,numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);
1035:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
1036:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
1037:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1038:   for (c = cStart; c < cEnd; ++c) {
1039:     PetscScalar *x = NULL;

1041:     DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);
1042:     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
1043:     DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);

1045:     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1046:       PetscObject  obj;
1047:       PetscClassId id;
1048:       void * const ctx = ctxs ? ctxs[field] : NULL;
1049:       PetscInt     Nb, Nc, q, fc;

1051:       PetscReal       elemDiff = 0.0;

1053:       DMGetField(dm, field, &obj);
1054:       PetscObjectGetClassId(obj, &id);
1055:       if (id == PETSCFE_CLASSID)      {PetscFEGetNumComponents((PetscFE) obj, &Nc);PetscFEGetDimension((PetscFE) obj, &Nb);}
1056:       else if (id == PETSCFV_CLASSID) {PetscFVGetNumComponents((PetscFV) obj, &Nc);Nb = 1;}
1057:       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1058:       if (debug) {
1059:         char title[1024];
1060:         PetscSNPrintf(title, 1023, "Solution for Field %d", field);
1061:         DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);
1062:       }
1063:       for (q = 0; q < numQuadPoints; ++q) {
1064:         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
1065:         (*funcs[field])(dim, coords, numFields, funcVal, ctx);
1066:         if (id == PETSCFE_CLASSID)      {PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);}
1067:         else if (id == PETSCFV_CLASSID) {PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);}
1068:         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1069:         for (fc = 0; fc < Nc; ++fc) {
1070:           if (debug) {PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);}
1071:           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
1072:         }
1073:       }
1074:       fieldOffset += Nb*Nc;
1075:       localDiff[field] += elemDiff;
1076:     }
1077:     DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);
1078:   }
1079:   DMRestoreLocalVector(dm, &localX);
1080:   MPI_Allreduce(localDiff, diff, numFields, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));
1081:   for (field = 0; field < numFields; ++field) diff[field] = PetscSqrtReal(diff[field]);
1082:   PetscFree7(localDiff,funcVal,interpolant,coords,v0,J,invJ);
1083:   return(0);
1084: }

1088: /*@
1089:   DMPlexComputeIntegralFEM - Form the local integral F from the local input X using pointwise functions specified by the user

1091:   Input Parameters:
1092: + dm - The mesh
1093: . X  - Local input vector
1094: - user - The user context

1096:   Output Parameter:
1097: . integral - Local integral for each field

1099:   Level: developer

1101: .seealso: DMPlexComputeResidualFEM()
1102: @*/
1103: PetscErrorCode DMPlexComputeIntegralFEM(DM dm, Vec X, PetscReal *integral, void *user)
1104: {
1105:   DM_Plex          *mesh  = (DM_Plex *) dm->data;
1106:   DM                dmAux;
1107:   Vec               localX, A;
1108:   PetscDS           prob, probAux = NULL;
1109:   PetscSection      section, sectionAux;
1110:   PetscFECellGeom  *cgeom;
1111:   PetscScalar      *u, *a = NULL;
1112:   PetscReal        *lintegral, *vol;
1113:   PetscInt          dim, Nf, f, numCells, cStart, cEnd, cEndInterior, c;
1114:   PetscInt          totDim, totDimAux;
1115:   PetscErrorCode    ierr;

1118:   PetscLogEventBegin(DMPLEX_IntegralFEM,dm,0,0,0);
1119:   DMGetLocalVector(dm, &localX);
1120:   DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);
1121:   DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);
1122:   DMGetDimension(dm, &dim);
1123:   DMGetDefaultSection(dm, &section);
1124:   DMGetDS(dm, &prob);
1125:   PetscDSGetTotalDimension(prob, &totDim);
1126:   PetscSectionGetNumFields(section, &Nf);
1127:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
1128:   DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);
1129:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1130:   numCells = cEnd - cStart;
1131:   PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);
1132:   PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);
1133:   if (dmAux) {
1134:     DMGetDefaultSection(dmAux, &sectionAux);
1135:     DMGetDS(dmAux, &probAux);
1136:     PetscDSGetTotalDimension(probAux, &totDimAux);
1137:   }
1138:   DMPlexInsertBoundaryValues(dm, localX, 0.0, NULL, NULL, NULL);
1139:   PetscMalloc4(Nf,&lintegral,numCells*totDim,&u,numCells,&cgeom,numCells,&vol);
1140:   if (dmAux) {PetscMalloc1(numCells*totDimAux, &a);}
1141:   for (f = 0; f < Nf; ++f) {lintegral[f] = 0.0;}
1142:   for (c = cStart; c < cEnd; ++c) {
1143:     PetscScalar *x = NULL;
1144:     PetscInt     i;

1146:     DMPlexComputeCellGeometryFEM(dm, c, NULL, cgeom[c].v0, cgeom[c].J, cgeom[c].invJ, &cgeom[c].detJ);
1147:     DMPlexComputeCellGeometryFVM(dm, c, &vol[c], NULL, NULL);
1148:     if (cgeom[c].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", cgeom[c].detJ, c);
1149:     DMPlexVecGetClosure(dm, section, localX, c, NULL, &x);
1150:     for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i];
1151:     DMPlexVecRestoreClosure(dm, section, localX, c, NULL, &x);
1152:     if (dmAux) {
1153:       DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &x);
1154:       for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i];
1155:       DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &x);
1156:     }
1157:   }
1158:   for (f = 0; f < Nf; ++f) {
1159:     PetscObject  obj;
1160:     PetscClassId id;
1161:     PetscInt     numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;

1163:     PetscDSGetDiscretization(prob, f, &obj);
1164:     PetscObjectGetClassId(obj, &id);
1165:     if (id == PETSCFE_CLASSID) {
1166:       PetscFE         fe = (PetscFE) obj;
1167:       PetscQuadrature q;
1168:       PetscInt        Nq, Nb;

1170:       PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);
1171:       PetscFEGetQuadrature(fe, &q);
1172:       PetscQuadratureGetData(q, NULL, &Nq, NULL, NULL);
1173:       PetscFEGetDimension(fe, &Nb);
1174:       blockSize = Nb*Nq;
1175:       batchSize = numBlocks * blockSize;
1176:       PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);
1177:       numChunks = numCells / (numBatches*batchSize);
1178:       Ne        = numChunks*numBatches*batchSize;
1179:       Nr        = numCells % (numBatches*batchSize);
1180:       offset    = numCells - Nr;
1181:       PetscFEIntegrate(fe, prob, f, Ne, cgeom, u, probAux, a, lintegral);
1182:       PetscFEIntegrate(fe, prob, f, Nr, &cgeom[offset], &u[offset*totDim], probAux, &a[offset*totDimAux], lintegral);
1183:     } else if (id == PETSCFV_CLASSID) {
1184:       /* PetscFV  fv = (PetscFV) obj; */
1185:       PetscInt       foff;
1186:       PetscPointFunc obj_func;
1187:       PetscScalar    lint;

1189:       PetscDSGetObjective(prob, f, &obj_func);
1190:       PetscDSGetFieldOffset(prob, f, &foff);
1191:       if (obj_func) {
1192:         for (c = 0; c < numCells; ++c) {
1193:           /* TODO: Need full pointwise interpolation and get centroid for x argument */
1194:           obj_func(dim, Nf, 0, NULL, NULL, &u[totDim*c+foff], NULL, NULL, NULL, NULL, NULL, NULL, NULL, 0.0, NULL, &lint);
1195:           lintegral[f] = PetscRealPart(lint)*vol[c];
1196:         }
1197:       }
1198:     } else SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
1199:   }
1200:   if (dmAux) {PetscFree(a);}
1201:   if (mesh->printFEM) {
1202:     PetscPrintf(PetscObjectComm((PetscObject) dm), "Local integral:");
1203:     for (f = 0; f < Nf; ++f) {PetscPrintf(PetscObjectComm((PetscObject) dm), " %g", lintegral[f]);}
1204:     PetscPrintf(PetscObjectComm((PetscObject) dm), "\n");
1205:   }
1206:   DMRestoreLocalVector(dm, &localX);
1207:   MPI_Allreduce(lintegral, integral, Nf, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject) dm));
1208:   PetscFree4(lintegral,u,cgeom,vol);
1209:   PetscLogEventEnd(DMPLEX_IntegralFEM,dm,0,0,0);
1210:   return(0);
1211: }

1215: /*@
1216:   DMPlexComputeInterpolatorFEM - Form the local portion of the interpolation matrix I from the coarse DM to the uniformly refined DM.

1218:   Input Parameters:
1219: + dmf  - The fine mesh
1220: . dmc  - The coarse mesh
1221: - user - The user context

1223:   Output Parameter:
1224: . In  - The interpolation matrix

1226:   Note:
1227:   The first member of the user context must be an FEMContext.

1229:   We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator,
1230:   like a GPU, or vectorize on a multicore machine.

1232:   Level: developer

1234: .seealso: DMPlexComputeJacobianFEM()
1235: @*/
1236: PetscErrorCode DMPlexComputeInterpolatorFEM(DM dmc, DM dmf, Mat In, void *user)
1237: {
1238:   DM_Plex          *mesh  = (DM_Plex *) dmc->data;
1239:   const char       *name  = "Interpolator";
1240:   PetscDS           prob;
1241:   PetscFE          *feRef;
1242:   PetscFV          *fvRef;
1243:   PetscSection      fsection, fglobalSection;
1244:   PetscSection      csection, cglobalSection;
1245:   PetscScalar      *elemMat;
1246:   PetscInt          dim, Nf, f, fieldI, fieldJ, offsetI, offsetJ, cStart, cEnd, cEndInterior, c;
1247:   PetscInt          cTotDim, rTotDim = 0;
1248:   PetscErrorCode    ierr;

1251:   PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1252:   DMGetDimension(dmf, &dim);
1253:   DMGetDefaultSection(dmf, &fsection);
1254:   DMGetDefaultGlobalSection(dmf, &fglobalSection);
1255:   DMGetDefaultSection(dmc, &csection);
1256:   DMGetDefaultGlobalSection(dmc, &cglobalSection);
1257:   PetscSectionGetNumFields(fsection, &Nf);
1258:   DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);
1259:   DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);
1260:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1261:   DMGetDS(dmf, &prob);
1262:   PetscCalloc2(Nf,&feRef,Nf,&fvRef);
1263:   for (f = 0; f < Nf; ++f) {
1264:     PetscObject  obj;
1265:     PetscClassId id;
1266:     PetscInt     rNb = 0, Nc = 0;

1268:     PetscDSGetDiscretization(prob, f, &obj);
1269:     PetscObjectGetClassId(obj, &id);
1270:     if (id == PETSCFE_CLASSID) {
1271:       PetscFE fe = (PetscFE) obj;

1273:       PetscFERefine(fe, &feRef[f]);
1274:       PetscFEGetDimension(feRef[f], &rNb);
1275:       PetscFEGetNumComponents(fe, &Nc);
1276:     } else if (id == PETSCFV_CLASSID) {
1277:       PetscFV        fv = (PetscFV) obj;
1278:       PetscDualSpace Q;

1280:       PetscFVRefine(fv, &fvRef[f]);
1281:       PetscFVGetDualSpace(fvRef[f], &Q);
1282:       PetscDualSpaceGetDimension(Q, &rNb);
1283:       PetscFVGetNumComponents(fv, &Nc);
1284:     }
1285:     rTotDim += rNb*Nc;
1286:   }
1287:   PetscDSGetTotalDimension(prob, &cTotDim);
1288:   PetscMalloc1(rTotDim*cTotDim,&elemMat);
1289:   PetscMemzero(elemMat, rTotDim*cTotDim * sizeof(PetscScalar));
1290:   for (fieldI = 0, offsetI = 0; fieldI < Nf; ++fieldI) {
1291:     PetscDualSpace   Qref;
1292:     PetscQuadrature  f;
1293:     const PetscReal *qpoints, *qweights;
1294:     PetscReal       *points;
1295:     PetscInt         npoints = 0, Nc, Np, fpdim, i, k, p, d;

1297:     /* Compose points from all dual basis functionals */
1298:     if (feRef[fieldI]) {
1299:       PetscFEGetDualSpace(feRef[fieldI], &Qref);
1300:       PetscFEGetNumComponents(feRef[fieldI], &Nc);
1301:     } else {
1302:       PetscFVGetDualSpace(fvRef[fieldI], &Qref);
1303:       PetscFVGetNumComponents(fvRef[fieldI], &Nc);
1304:     }
1305:     PetscDualSpaceGetDimension(Qref, &fpdim);
1306:     for (i = 0; i < fpdim; ++i) {
1307:       PetscDualSpaceGetFunctional(Qref, i, &f);
1308:       PetscQuadratureGetData(f, NULL, &Np, NULL, NULL);
1309:       npoints += Np;
1310:     }
1311:     PetscMalloc1(npoints*dim,&points);
1312:     for (i = 0, k = 0; i < fpdim; ++i) {
1313:       PetscDualSpaceGetFunctional(Qref, i, &f);
1314:       PetscQuadratureGetData(f, NULL, &Np, &qpoints, NULL);
1315:       for (p = 0; p < Np; ++p, ++k) for (d = 0; d < dim; ++d) points[k*dim+d] = qpoints[p*dim+d];
1316:     }

1318:     for (fieldJ = 0, offsetJ = 0; fieldJ < Nf; ++fieldJ) {
1319:       PetscObject  obj;
1320:       PetscClassId id;
1321:       PetscReal   *B;
1322:       PetscInt     NcJ = 0, cpdim = 0, j;

1324:       PetscDSGetDiscretization(prob, fieldJ, &obj);
1325:       PetscObjectGetClassId(obj, &id);
1326:       if (id == PETSCFE_CLASSID) {
1327:         PetscFE fe = (PetscFE) obj;

1329:         /* Evaluate basis at points */
1330:         PetscFEGetNumComponents(fe, &NcJ);
1331:         PetscFEGetDimension(fe, &cpdim);
1332:         /* For now, fields only interpolate themselves */
1333:         if (fieldI == fieldJ) {
1334:           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);
1335:           PetscFEGetTabulation(fe, npoints, points, &B, NULL, NULL);
1336:           for (i = 0, k = 0; i < fpdim; ++i) {
1337:             PetscDualSpaceGetFunctional(Qref, i, &f);
1338:             PetscQuadratureGetData(f, NULL, &Np, NULL, &qweights);
1339:             for (p = 0; p < Np; ++p, ++k) {
1340:               for (j = 0; j < cpdim; ++j) {
1341:                 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];
1342:               }
1343:             }
1344:           }
1345:           PetscFERestoreTabulation(fe, npoints, points, &B, NULL, NULL);
1346:         }
1347:       } else if (id == PETSCFV_CLASSID) {
1348:         PetscFV        fv = (PetscFV) obj;

1350:         /* Evaluate constant function at points */
1351:         PetscFVGetNumComponents(fv, &NcJ);
1352:         cpdim = 1;
1353:         /* For now, fields only interpolate themselves */
1354:         if (fieldI == fieldJ) {
1355:           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);
1356:           for (i = 0, k = 0; i < fpdim; ++i) {
1357:             PetscDualSpaceGetFunctional(Qref, i, &f);
1358:             PetscQuadratureGetData(f, NULL, &Np, NULL, &qweights);
1359:             for (p = 0; p < Np; ++p, ++k) {
1360:               for (j = 0; j < cpdim; ++j) {
1361:                 for (c = 0; c < Nc; ++c) elemMat[(offsetI + i*Nc + c)*cTotDim + offsetJ + j*NcJ + c] += 1.0*qweights[p];
1362:               }
1363:             }
1364:           }
1365:         }
1366:       }
1367:       offsetJ += cpdim*NcJ;
1368:     }
1369:     offsetI += fpdim*Nc;
1370:     PetscFree(points);
1371:   }
1372:   if (mesh->printFEM > 1) {DMPrintCellMatrix(0, name, rTotDim, cTotDim, elemMat);}
1373:   /* Preallocate matrix */
1374:   {
1375:     PetscHashJK ht;
1376:     PetscLayout rLayout;
1377:     PetscInt   *dnz, *onz, *cellCIndices, *cellFIndices;
1378:     PetscInt    locRows, rStart, rEnd, cell, r;

1380:     MatGetLocalSize(In, &locRows, NULL);
1381:     PetscLayoutCreate(PetscObjectComm((PetscObject) In), &rLayout);
1382:     PetscLayoutSetLocalSize(rLayout, locRows);
1383:     PetscLayoutSetBlockSize(rLayout, 1);
1384:     PetscLayoutSetUp(rLayout);
1385:     PetscLayoutGetRange(rLayout, &rStart, &rEnd);
1386:     PetscLayoutDestroy(&rLayout);
1387:     PetscCalloc4(locRows,&dnz,locRows,&onz,cTotDim,&cellCIndices,rTotDim,&cellFIndices);
1388:     PetscHashJKCreate(&ht);
1389:     for (cell = cStart; cell < cEnd; ++cell) {
1390:       DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, cell, cellCIndices, cellFIndices);
1391:       for (r = 0; r < rTotDim; ++r) {
1392:         PetscHashJKKey  key;
1393:         PetscHashJKIter missing, iter;

1395:         key.j = cellFIndices[r];
1396:         if (key.j < 0) continue;
1397:         for (c = 0; c < cTotDim; ++c) {
1398:           key.k = cellCIndices[c];
1399:           if (key.k < 0) continue;
1400:           PetscHashJKPut(ht, key, &missing, &iter);
1401:           if (missing) {
1402:             PetscHashJKSet(ht, iter, 1);
1403:             if ((key.k >= rStart) && (key.k < rEnd)) ++dnz[key.j-rStart];
1404:             else                                     ++onz[key.j-rStart];
1405:           }
1406:         }
1407:       }
1408:     }
1409:     PetscHashJKDestroy(&ht);
1410:     MatXAIJSetPreallocation(In, 1, dnz, onz, NULL, NULL);
1411:     MatSetOption(In, MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);
1412:     PetscFree4(dnz,onz,cellCIndices,cellFIndices);
1413:   }
1414:   /* Fill matrix */
1415:   MatZeroEntries(In);
1416:   for (c = cStart; c < cEnd; ++c) {
1417:     DMPlexMatSetClosureRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, In, c, elemMat, INSERT_VALUES);
1418:   }
1419:   for (f = 0; f < Nf; ++f) {PetscFEDestroy(&feRef[f]);}
1420:   PetscFree2(feRef,fvRef);
1421:   PetscFree(elemMat);
1422:   MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);
1423:   MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);
1424:   if (mesh->printFEM) {
1425:     PetscPrintf(PETSC_COMM_WORLD, "%s:\n", name);
1426:     MatChop(In, 1.0e-10);
1427:     MatView(In, PETSC_VIEWER_STDOUT_WORLD);
1428:   }
1429:   PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);
1430:   return(0);
1431: }

1435: PetscErrorCode DMPlexComputeInjectorFEM(DM dmc, DM dmf, VecScatter *sc, void *user)
1436: {
1437:   PetscDS        prob;
1438:   PetscFE       *feRef;
1439:   PetscFV       *fvRef;
1440:   Vec            fv, cv;
1441:   IS             fis, cis;
1442:   PetscSection   fsection, fglobalSection, csection, cglobalSection;
1443:   PetscInt      *cmap, *cellCIndices, *cellFIndices, *cindices, *findices;
1444:   PetscInt       cTotDim, fTotDim = 0, Nf, f, field, cStart, cEnd, cEndInterior, c, dim, d, startC, offsetC, offsetF, m;

1448:   PetscLogEventBegin(DMPLEX_InjectorFEM,dmc,dmf,0,0);
1449:   DMGetDimension(dmf, &dim);
1450:   DMGetDefaultSection(dmf, &fsection);
1451:   DMGetDefaultGlobalSection(dmf, &fglobalSection);
1452:   DMGetDefaultSection(dmc, &csection);
1453:   DMGetDefaultGlobalSection(dmc, &cglobalSection);
1454:   PetscSectionGetNumFields(fsection, &Nf);
1455:   DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);
1456:   DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);
1457:   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1458:   DMGetDS(dmc, &prob);
1459:   PetscCalloc2(Nf,&feRef,Nf,&fvRef);
1460:   for (f = 0; f < Nf; ++f) {
1461:     PetscObject  obj;
1462:     PetscClassId id;
1463:     PetscInt     fNb = 0, Nc = 0;

1465:     PetscDSGetDiscretization(prob, f, &obj);
1466:     PetscObjectGetClassId(obj, &id);
1467:     if (id == PETSCFE_CLASSID) {
1468:       PetscFE fe = (PetscFE) obj;

1470:       PetscFERefine(fe, &feRef[f]);
1471:       PetscFEGetDimension(feRef[f], &fNb);
1472:       PetscFEGetNumComponents(fe, &Nc);
1473:     } else if (id == PETSCFV_CLASSID) {
1474:       PetscFV        fv = (PetscFV) obj;
1475:       PetscDualSpace Q;

1477:       PetscFVRefine(fv, &fvRef[f]);
1478:       PetscFVGetDualSpace(fvRef[f], &Q);
1479:       PetscDualSpaceGetDimension(Q, &fNb);
1480:       PetscFVGetNumComponents(fv, &Nc);
1481:     }
1482:     fTotDim += fNb*Nc;
1483:   }
1484:   PetscDSGetTotalDimension(prob, &cTotDim);
1485:   PetscMalloc1(cTotDim,&cmap);
1486:   for (field = 0, offsetC = 0, offsetF = 0; field < Nf; ++field) {
1487:     PetscFE        feC;
1488:     PetscFV        fvC;
1489:     PetscDualSpace QF, QC;
1490:     PetscInt       NcF, NcC, fpdim, cpdim;

1492:     if (feRef[field]) {
1493:       PetscDSGetDiscretization(prob, field, (PetscObject *) &feC);
1494:       PetscFEGetNumComponents(feC, &NcC);
1495:       PetscFEGetNumComponents(feRef[field], &NcF);
1496:       PetscFEGetDualSpace(feRef[field], &QF);
1497:       PetscDualSpaceGetDimension(QF, &fpdim);
1498:       PetscFEGetDualSpace(feC, &QC);
1499:       PetscDualSpaceGetDimension(QC, &cpdim);
1500:     } else {
1501:       PetscDSGetDiscretization(prob, field, (PetscObject *) &fvC);
1502:       PetscFVGetNumComponents(fvC, &NcC);
1503:       PetscFVGetNumComponents(fvRef[field], &NcF);
1504:       PetscFVGetDualSpace(fvRef[field], &QF);
1505:       PetscDualSpaceGetDimension(QF, &fpdim);
1506:       PetscFVGetDualSpace(fvC, &QC);
1507:       PetscDualSpaceGetDimension(QC, &cpdim);
1508:     }
1509:     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);
1510:     for (c = 0; c < cpdim; ++c) {
1511:       PetscQuadrature  cfunc;
1512:       const PetscReal *cqpoints;
1513:       PetscInt         NpC;
1514:       PetscBool        found = PETSC_FALSE;

1516:       PetscDualSpaceGetFunctional(QC, c, &cfunc);
1517:       PetscQuadratureGetData(cfunc, NULL, &NpC, &cqpoints, NULL);
1518:       if (NpC != 1 && feRef[field]) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Do not know how to do injection for moments");
1519:       for (f = 0; f < fpdim; ++f) {
1520:         PetscQuadrature  ffunc;
1521:         const PetscReal *fqpoints;
1522:         PetscReal        sum = 0.0;
1523:         PetscInt         NpF, comp;

1525:         PetscDualSpaceGetFunctional(QF, f, &ffunc);
1526:         PetscQuadratureGetData(ffunc, NULL, &NpF, &fqpoints, NULL);
1527:         if (NpC != NpF) continue;
1528:         for (d = 0; d < dim; ++d) sum += PetscAbsReal(cqpoints[d] - fqpoints[d]);
1529:         if (sum > 1.0e-9) continue;
1530:         for (comp = 0; comp < NcC; ++comp) {
1531:           cmap[(offsetC+c)*NcC+comp] = (offsetF+f)*NcF+comp;
1532:         }
1533:         found = PETSC_TRUE;
1534:         break;
1535:       }
1536:       if (!found) {
1537:         /* TODO We really want the average here, but some asshole put VecScatter in the interface */
1538:         if (fvRef[field]) {
1539:           PetscInt comp;
1540:           for (comp = 0; comp < NcC; ++comp) {
1541:             cmap[(offsetC+c)*NcC+comp] = (offsetF+0)*NcF+comp;
1542:           }
1543:         } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not locate matching functional for injection");
1544:       }
1545:     }
1546:     offsetC += cpdim*NcC;
1547:     offsetF += fpdim*NcF;
1548:   }
1549:   for (f = 0; f < Nf; ++f) {PetscFEDestroy(&feRef[f]);PetscFVDestroy(&fvRef[f]);}
1550:   PetscFree2(feRef,fvRef);

1552:   DMGetGlobalVector(dmf, &fv);
1553:   DMGetGlobalVector(dmc, &cv);
1554:   VecGetOwnershipRange(cv, &startC, NULL);
1555:   PetscSectionGetConstrainedStorageSize(cglobalSection, &m);
1556:   PetscMalloc2(cTotDim,&cellCIndices,fTotDim,&cellFIndices);
1557:   PetscMalloc1(m,&cindices);
1558:   PetscMalloc1(m,&findices);
1559:   for (d = 0; d < m; ++d) cindices[d] = findices[d] = -1;
1560:   for (c = cStart; c < cEnd; ++c) {
1561:     DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, c, cellCIndices, cellFIndices);
1562:     for (d = 0; d < cTotDim; ++d) {
1563:       if (cellCIndices[d] < 0) continue;
1564:       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]]);
1565:       cindices[cellCIndices[d]-startC] = cellCIndices[d];
1566:       findices[cellCIndices[d]-startC] = cellFIndices[cmap[d]];
1567:     }
1568:   }
1569:   PetscFree(cmap);
1570:   PetscFree2(cellCIndices,cellFIndices);

1572:   ISCreateGeneral(PETSC_COMM_SELF, m, cindices, PETSC_OWN_POINTER, &cis);
1573:   ISCreateGeneral(PETSC_COMM_SELF, m, findices, PETSC_OWN_POINTER, &fis);
1574:   VecScatterCreate(cv, cis, fv, fis, sc);
1575:   ISDestroy(&cis);
1576:   ISDestroy(&fis);
1577:   DMRestoreGlobalVector(dmf, &fv);
1578:   DMRestoreGlobalVector(dmc, &cv);
1579:   PetscLogEventEnd(DMPLEX_InjectorFEM,dmc,dmf,0,0);
1580:   return(0);
1581: }