xref: /petsc/src/dm/impls/plex/plexfem.c (revision 34b4d3a85c0ff31a64d0ecfb0e5c14d293c8b463)
1 #include <petsc/private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 #include <petscsf.h>
3 
4 #include <petsc/private/petscfeimpl.h>
5 #include <petsc/private/petscfvimpl.h>
6 
7 /*@
8   DMPlexGetScale - Get the scale for the specified fundamental unit
9 
10   Not collective
11 
12   Input Arguments:
13 + dm   - the DM
14 - unit - The SI unit
15 
16   Output Argument:
17 . scale - The value used to scale all quantities with this unit
18 
19   Level: advanced
20 
21 .seealso: DMPlexSetScale(), PetscUnit
22 @*/
23 PetscErrorCode DMPlexGetScale(DM dm, PetscUnit unit, PetscReal *scale)
24 {
25   DM_Plex *mesh = (DM_Plex*) dm->data;
26 
27   PetscFunctionBegin;
28   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
29   PetscValidPointer(scale, 3);
30   *scale = mesh->scale[unit];
31   PetscFunctionReturn(0);
32 }
33 
34 /*@
35   DMPlexSetScale - Set the scale for the specified fundamental unit
36 
37   Not collective
38 
39   Input Arguments:
40 + dm   - the DM
41 . unit - The SI unit
42 - scale - The value used to scale all quantities with this unit
43 
44   Level: advanced
45 
46 .seealso: DMPlexGetScale(), PetscUnit
47 @*/
48 PetscErrorCode DMPlexSetScale(DM dm, PetscUnit unit, PetscReal scale)
49 {
50   DM_Plex *mesh = (DM_Plex*) dm->data;
51 
52   PetscFunctionBegin;
53   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
54   mesh->scale[unit] = scale;
55   PetscFunctionReturn(0);
56 }
57 
58 PETSC_STATIC_INLINE PetscInt epsilon(PetscInt i, PetscInt j, PetscInt k)
59 {
60   switch (i) {
61   case 0:
62     switch (j) {
63     case 0: return 0;
64     case 1:
65       switch (k) {
66       case 0: return 0;
67       case 1: return 0;
68       case 2: return 1;
69       }
70     case 2:
71       switch (k) {
72       case 0: return 0;
73       case 1: return -1;
74       case 2: return 0;
75       }
76     }
77   case 1:
78     switch (j) {
79     case 0:
80       switch (k) {
81       case 0: return 0;
82       case 1: return 0;
83       case 2: return -1;
84       }
85     case 1: return 0;
86     case 2:
87       switch (k) {
88       case 0: return 1;
89       case 1: return 0;
90       case 2: return 0;
91       }
92     }
93   case 2:
94     switch (j) {
95     case 0:
96       switch (k) {
97       case 0: return 0;
98       case 1: return 1;
99       case 2: return 0;
100       }
101     case 1:
102       switch (k) {
103       case 0: return -1;
104       case 1: return 0;
105       case 2: return 0;
106       }
107     case 2: return 0;
108     }
109   }
110   return 0;
111 }
112 
113 static PetscErrorCode DMPlexProjectRigidBody_Private(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nf, PetscScalar *mode, void *ctx)
114 {
115   PetscInt *ctxInt  = (PetscInt *) ctx;
116   PetscInt  dim2    = ctxInt[0];
117   PetscInt  d       = ctxInt[1];
118   PetscInt  i, j, k = dim > 2 ? d - dim : d;
119 
120   PetscFunctionBegin;
121   if (dim != dim2) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Input dimension %d does not match context dimension %d", dim, dim2);
122   for (i = 0; i < dim; i++) mode[i] = 0.;
123   if (d < dim) {
124     mode[d] = 1.;
125   } else {
126     for (i = 0; i < dim; i++) {
127       for (j = 0; j < dim; j++) {
128         mode[j] += epsilon(i, j, k)*X[i];
129       }
130     }
131   }
132   PetscFunctionReturn(0);
133 }
134 
135 /*@C
136   DMPlexCreateRigidBody - for the default global section, create rigid body modes from coordinates
137 
138   Collective on DM
139 
140   Input Arguments:
141 . dm - the DM
142 
143   Output Argument:
144 . sp - the null space
145 
146   Note: This is necessary to take account of Dirichlet conditions on the displacements
147 
148   Level: advanced
149 
150 .seealso: MatNullSpaceCreate()
151 @*/
152 PetscErrorCode DMPlexCreateRigidBody(DM dm, MatNullSpace *sp)
153 {
154   MPI_Comm       comm;
155   Vec            mode[6];
156   PetscSection   section, globalSection;
157   PetscInt       dim, dimEmbed, n, m, d, i, j;
158   PetscErrorCode ierr;
159 
160   PetscFunctionBegin;
161   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
162   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
163   ierr = DMGetCoordinateDim(dm, &dimEmbed);CHKERRQ(ierr);
164   if (dim == 1) {
165     ierr = MatNullSpaceCreate(comm, PETSC_TRUE, 0, NULL, sp);CHKERRQ(ierr);
166     PetscFunctionReturn(0);
167   }
168   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
169   ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);
170   ierr = PetscSectionGetConstrainedStorageSize(globalSection, &n);CHKERRQ(ierr);
171   m    = (dim*(dim+1))/2;
172   ierr = VecCreate(comm, &mode[0]);CHKERRQ(ierr);
173   ierr = VecSetSizes(mode[0], n, PETSC_DETERMINE);CHKERRQ(ierr);
174   ierr = VecSetUp(mode[0]);CHKERRQ(ierr);
175   for (i = 1; i < m; ++i) {ierr = VecDuplicate(mode[0], &mode[i]);CHKERRQ(ierr);}
176   for (d = 0; d < m; d++) {
177     PetscInt         ctx[2];
178     PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *) = DMPlexProjectRigidBody_Private;
179     void            *voidctx = (void *) (&ctx[0]);
180 
181     ctx[0] = dimEmbed;
182     ctx[1] = d;
183     ierr = DMProjectFunction(dm, 0.0, &func, &voidctx, INSERT_VALUES, mode[d]);CHKERRQ(ierr);
184   }
185   for (i = 0; i < dim; ++i) {ierr = VecNormalize(mode[i], NULL);CHKERRQ(ierr);}
186   /* Orthonormalize system */
187   for (i = dim; i < m; ++i) {
188     PetscScalar dots[6];
189 
190     ierr = VecMDot(mode[i], i, mode, dots);CHKERRQ(ierr);
191     for (j = 0; j < i; ++j) dots[j] *= -1.0;
192     ierr = VecMAXPY(mode[i], i, dots, mode);CHKERRQ(ierr);
193     ierr = VecNormalize(mode[i], NULL);CHKERRQ(ierr);
194   }
195   ierr = MatNullSpaceCreate(comm, PETSC_FALSE, m, mode, sp);CHKERRQ(ierr);
196   for (i = 0; i< m; ++i) {ierr = VecDestroy(&mode[i]);CHKERRQ(ierr);}
197   PetscFunctionReturn(0);
198 }
199 
200 /*@
201   DMPlexSetMaxProjectionHeight - In DMPlexProjectXXXLocal() functions, the projected values of a basis function's dofs
202   are computed by associating the basis function with one of the mesh points in its transitively-closed support, and
203   evaluating the dual space basis of that point.  A basis function is associated with the point in its
204   transitively-closed support whose mesh height is highest (w.r.t. DAG height), but not greater than the maximum
205   projection height, which is set with this function.  By default, the maximum projection height is zero, which means
206   that only mesh cells are used to project basis functions.  A height of one, for example, evaluates a cell-interior
207   basis functions using its cells dual space basis, but all other basis functions with the dual space basis of a face.
208 
209   Input Parameters:
210 + dm - the DMPlex object
211 - height - the maximum projection height >= 0
212 
213   Level: advanced
214 
215 .seealso: DMPlexGetMaxProjectionHeight(), DMProjectFunctionLocal(), DMProjectFunctionLabelLocal()
216 @*/
217 PetscErrorCode DMPlexSetMaxProjectionHeight(DM dm, PetscInt height)
218 {
219   DM_Plex *plex = (DM_Plex *) dm->data;
220 
221   PetscFunctionBegin;
222   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
223   plex->maxProjectionHeight = height;
224   PetscFunctionReturn(0);
225 }
226 
227 /*@
228   DMPlexGetMaxProjectionHeight - Get the maximum height (w.r.t. DAG) of mesh points used to evaluate dual bases in
229   DMPlexProjectXXXLocal() functions.
230 
231   Input Parameters:
232 . dm - the DMPlex object
233 
234   Output Parameters:
235 . height - the maximum projection height
236 
237   Level: intermediate
238 
239 .seealso: DMPlexSetMaxProjectionHeight(), DMProjectFunctionLocal(), DMProjectFunctionLabelLocal()
240 @*/
241 PetscErrorCode DMPlexGetMaxProjectionHeight(DM dm, PetscInt *height)
242 {
243   DM_Plex *plex = (DM_Plex *) dm->data;
244 
245   PetscFunctionBegin;
246   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
247   *height = plex->maxProjectionHeight;
248   PetscFunctionReturn(0);
249 }
250 
251 /*@C
252   DMPlexInsertBoundaryValuesEssential - Insert boundary values into a local vector
253 
254   Input Parameters:
255 + dm     - The DM, with a PetscDS that matches the problem being constrained
256 . time   - The time
257 . field  - The field to constrain
258 . Nc     - The number of constrained field components, or 0 for all components
259 . comps  - An array of constrained component numbers, or NULL for all components
260 . label  - The DMLabel defining constrained points
261 . numids - The number of DMLabel ids for constrained points
262 . ids    - An array of ids for constrained points
263 . func   - A pointwise function giving boundary values
264 - ctx    - An optional user context for bcFunc
265 
266   Output Parameter:
267 . locX   - A local vector to receives the boundary values
268 
269   Level: developer
270 
271 .seealso: DMPlexInsertBoundaryValuesEssentialField(), DMAddBoundary()
272 @*/
273 PetscErrorCode DMPlexInsertBoundaryValuesEssential(DM dm, PetscReal time, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *ctx, Vec locX)
274 {
275   PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx);
276   void            **ctxs;
277   PetscInt          numFields;
278   PetscErrorCode    ierr;
279 
280   PetscFunctionBegin;
281   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
282   ierr = PetscCalloc2(numFields,&funcs,numFields,&ctxs);CHKERRQ(ierr);
283   funcs[field] = func;
284   ctxs[field]  = ctx;
285   ierr = DMProjectFunctionLabelLocal(dm, time, label, numids, ids, Nc, comps, funcs, ctxs, INSERT_BC_VALUES, locX);CHKERRQ(ierr);
286   ierr = PetscFree2(funcs,ctxs);CHKERRQ(ierr);
287   PetscFunctionReturn(0);
288 }
289 
290 /*@C
291   DMPlexInsertBoundaryValuesEssentialField - Insert boundary values into a local vector
292 
293   Input Parameters:
294 + dm     - The DM, with a PetscDS that matches the problem being constrained
295 . time   - The time
296 . locU   - A local vector with the input solution values
297 . field  - The field to constrain
298 . Nc     - The number of constrained field components, or 0 for all components
299 . comps  - An array of constrained component numbers, or NULL for all components
300 . label  - The DMLabel defining constrained points
301 . numids - The number of DMLabel ids for constrained points
302 . ids    - An array of ids for constrained points
303 . func   - A pointwise function giving boundary values
304 - ctx    - An optional user context for bcFunc
305 
306   Output Parameter:
307 . locX   - A local vector to receives the boundary values
308 
309   Level: developer
310 
311 .seealso: DMPlexInsertBoundaryValuesEssential(), DMAddBoundary()
312 @*/
313 PetscErrorCode DMPlexInsertBoundaryValuesEssentialField(DM dm, PetscReal time, Vec locU, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[],
314                                                         void (*func)(PetscInt, PetscInt, PetscInt,
315                                                                      const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
316                                                                      const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
317                                                                      PetscReal, const PetscReal[], PetscInt, const PetscScalar[],
318                                                                      PetscScalar[]),
319                                                         void *ctx, Vec locX)
320 {
321   void (**funcs)(PetscInt, PetscInt, PetscInt,
322                  const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
323                  const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
324                  PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]);
325   void            **ctxs;
326   PetscInt          numFields;
327   PetscErrorCode    ierr;
328 
329   PetscFunctionBegin;
330   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
331   ierr = PetscCalloc2(numFields,&funcs,numFields,&ctxs);CHKERRQ(ierr);
332   funcs[field] = func;
333   ctxs[field]  = ctx;
334   ierr = DMProjectFieldLabelLocal(dm, time, label, numids, ids, Nc, comps, locU, funcs, INSERT_BC_VALUES, locX);CHKERRQ(ierr);
335   ierr = PetscFree2(funcs,ctxs);CHKERRQ(ierr);
336   PetscFunctionReturn(0);
337 }
338 
339 /*@C
340   DMPlexInsertBoundaryValuesRiemann - Insert boundary values into a local vector
341 
342   Input Parameters:
343 + dm     - The DM, with a PetscDS that matches the problem being constrained
344 . time   - The time
345 . faceGeometry - A vector with the FVM face geometry information
346 . cellGeometry - A vector with the FVM cell geometry information
347 . Grad         - A vector with the FVM cell gradient information
348 . field  - The field to constrain
349 . Nc     - The number of constrained field components, or 0 for all components
350 . comps  - An array of constrained component numbers, or NULL for all components
351 . label  - The DMLabel defining constrained points
352 . numids - The number of DMLabel ids for constrained points
353 . ids    - An array of ids for constrained points
354 . func   - A pointwise function giving boundary values
355 - ctx    - An optional user context for bcFunc
356 
357   Output Parameter:
358 . locX   - A local vector to receives the boundary values
359 
360   Note: This implementation currently ignores the numcomps/comps argument from DMAddBoundary()
361 
362   Level: developer
363 
364 .seealso: DMPlexInsertBoundaryValuesEssential(), DMPlexInsertBoundaryValuesEssentialField(), DMAddBoundary()
365 @*/
366 PetscErrorCode DMPlexInsertBoundaryValuesRiemann(DM dm, PetscReal time, Vec faceGeometry, Vec cellGeometry, Vec Grad, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[],
367                                                  PetscErrorCode (*func)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*), void *ctx, Vec locX)
368 {
369   PetscDS            prob;
370   PetscSF            sf;
371   DM                 dmFace, dmCell, dmGrad;
372   const PetscScalar *facegeom, *cellgeom = NULL, *grad;
373   const PetscInt    *leaves;
374   PetscScalar       *x, *fx;
375   PetscInt           dim, nleaves, loc, fStart, fEnd, pdim, i;
376   PetscErrorCode     ierr, ierru = 0;
377 
378   PetscFunctionBegin;
379   ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
380   ierr = PetscSFGetGraph(sf, NULL, &nleaves, &leaves, NULL);CHKERRQ(ierr);
381   nleaves = PetscMax(0, nleaves);
382   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
383   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
384   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
385   ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr);
386   ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr);
387   if (cellGeometry) {
388     ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr);
389     ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr);
390   }
391   if (Grad) {
392     PetscFV fv;
393 
394     ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &fv);CHKERRQ(ierr);
395     ierr = VecGetDM(Grad, &dmGrad);CHKERRQ(ierr);
396     ierr = VecGetArrayRead(Grad, &grad);CHKERRQ(ierr);
397     ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr);
398     ierr = DMGetWorkArray(dm, pdim, PETSC_SCALAR, &fx);CHKERRQ(ierr);
399   }
400   ierr = VecGetArray(locX, &x);CHKERRQ(ierr);
401   for (i = 0; i < numids; ++i) {
402     IS              faceIS;
403     const PetscInt *faces;
404     PetscInt        numFaces, f;
405 
406     ierr = DMLabelGetStratumIS(label, ids[i], &faceIS);CHKERRQ(ierr);
407     if (!faceIS) continue; /* No points with that id on this process */
408     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
409     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
410     for (f = 0; f < numFaces; ++f) {
411       const PetscInt         face = faces[f], *cells;
412       PetscFVFaceGeom        *fg;
413 
414       if ((face < fStart) || (face >= fEnd)) continue; /* Refinement adds non-faces to labels */
415       ierr = PetscFindInt(face, nleaves, (PetscInt *) leaves, &loc);CHKERRQ(ierr);
416       if (loc >= 0) continue;
417       ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr);
418       ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr);
419       if (Grad) {
420         PetscFVCellGeom       *cg;
421         PetscScalar           *cx, *cgrad;
422         PetscScalar           *xG;
423         PetscReal              dx[3];
424         PetscInt               d;
425 
426         ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cg);CHKERRQ(ierr);
427         ierr = DMPlexPointLocalRead(dm, cells[0], x, &cx);CHKERRQ(ierr);
428         ierr = DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad);CHKERRQ(ierr);
429         ierr = DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);CHKERRQ(ierr);
430         DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, fg->centroid, dx);
431         for (d = 0; d < pdim; ++d) fx[d] = cx[d] + DMPlex_DotD_Internal(dim, &cgrad[d*dim], dx);
432         ierru = (*func)(time, fg->centroid, fg->normal, fx, xG, ctx);
433         if (ierru) {
434           ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
435           ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
436           goto cleanup;
437         }
438       } else {
439         PetscScalar       *xI;
440         PetscScalar       *xG;
441 
442         ierr = DMPlexPointLocalRead(dm, cells[0], x, &xI);CHKERRQ(ierr);
443         ierr = DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG);CHKERRQ(ierr);
444         ierru = (*func)(time, fg->centroid, fg->normal, xI, xG, ctx);
445         if (ierru) {
446           ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
447           ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
448           goto cleanup;
449         }
450       }
451     }
452     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
453     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
454   }
455   cleanup:
456   ierr = VecRestoreArray(locX, &x);CHKERRQ(ierr);
457   if (Grad) {
458     ierr = DMRestoreWorkArray(dm, pdim, PETSC_SCALAR, &fx);CHKERRQ(ierr);
459     ierr = VecRestoreArrayRead(Grad, &grad);CHKERRQ(ierr);
460   }
461   if (cellGeometry) {ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr);}
462   ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr);
463   CHKERRQ(ierru);
464   PetscFunctionReturn(0);
465 }
466 
467 PetscErrorCode DMPlexInsertBoundaryValues_Plex(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
468 {
469   PetscInt       numBd, b;
470   PetscErrorCode ierr;
471 
472   PetscFunctionBegin;
473   ierr = PetscDSGetNumBoundary(dm->prob, &numBd);CHKERRQ(ierr);
474   for (b = 0; b < numBd; ++b) {
475     DMBoundaryConditionType type;
476     const char             *labelname;
477     DMLabel                 label;
478     PetscInt                field, Nc;
479     const PetscInt         *comps;
480     PetscObject             obj;
481     PetscClassId            id;
482     void                    (*func)(void);
483     PetscInt                numids;
484     const PetscInt         *ids;
485     void                   *ctx;
486 
487     ierr = DMGetBoundary(dm, b, &type, NULL, &labelname, &field, &Nc, &comps, &func, &numids, &ids, &ctx);CHKERRQ(ierr);
488     if (insertEssential != (type & DM_BC_ESSENTIAL)) continue;
489     ierr = DMGetLabel(dm, labelname, &label);CHKERRQ(ierr);
490     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
491     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
492     if (id == PETSCFE_CLASSID) {
493       switch (type) {
494         /* for FEM, there is no insertion to be done for non-essential boundary conditions */
495       case DM_BC_ESSENTIAL:
496         ierr = DMPlexLabelAddCells(dm,label);CHKERRQ(ierr);
497         ierr = DMPlexInsertBoundaryValuesEssential(dm, time, field, Nc, comps, label, numids, ids, (PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *)) func, ctx, locX);CHKERRQ(ierr);
498         ierr = DMPlexLabelClearCells(dm,label);CHKERRQ(ierr);
499         break;
500       case DM_BC_ESSENTIAL_FIELD:
501         ierr = DMPlexLabelAddCells(dm,label);CHKERRQ(ierr);
502         ierr = DMPlexInsertBoundaryValuesEssentialField(dm, time, locX, field, Nc, comps, label, numids, ids,
503                                                         (void (*)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
504                                                                   const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
505                                                                   PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[])) func, ctx, locX);CHKERRQ(ierr);
506         ierr = DMPlexLabelClearCells(dm,label);CHKERRQ(ierr);
507         break;
508       default: break;
509       }
510     } else if (id == PETSCFV_CLASSID) {
511       if (!faceGeomFVM) continue;
512       ierr = DMPlexInsertBoundaryValuesRiemann(dm, time, faceGeomFVM, cellGeomFVM, gradFVM, field, Nc, comps, label, numids, ids,
513                                                (PetscErrorCode (*)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*)) func, ctx, locX);CHKERRQ(ierr);
514     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
515   }
516   PetscFunctionReturn(0);
517 }
518 
519 /*@
520   DMPlexInsertBoundaryValues - Puts coefficients which represent boundary values into the local solution vector
521 
522   Input Parameters:
523 + dm - The DM
524 . insertEssential - Should I insert essential (e.g. Dirichlet) or inessential (e.g. Neumann) boundary conditions
525 . time - The time
526 . faceGeomFVM - Face geometry data for FV discretizations
527 . cellGeomFVM - Cell geometry data for FV discretizations
528 - gradFVM - Gradient reconstruction data for FV discretizations
529 
530   Output Parameters:
531 . locX - Solution updated with boundary values
532 
533   Level: developer
534 
535 .seealso: DMProjectFunctionLabelLocal()
536 @*/
537 PetscErrorCode DMPlexInsertBoundaryValues(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
538 {
539   PetscErrorCode ierr;
540 
541   PetscFunctionBegin;
542   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
543   PetscValidHeaderSpecific(locX, VEC_CLASSID, 2);
544   if (faceGeomFVM) {PetscValidHeaderSpecific(faceGeomFVM, VEC_CLASSID, 4);}
545   if (cellGeomFVM) {PetscValidHeaderSpecific(cellGeomFVM, VEC_CLASSID, 5);}
546   if (gradFVM)     {PetscValidHeaderSpecific(gradFVM, VEC_CLASSID, 6);}
547   ierr = PetscTryMethod(dm,"DMPlexInsertBoundaryValues_C",(DM,PetscBool,Vec,PetscReal,Vec,Vec,Vec),(dm,insertEssential,locX,time,faceGeomFVM,cellGeomFVM,gradFVM));CHKERRQ(ierr);
548   PetscFunctionReturn(0);
549 }
550 
551 PetscErrorCode DMComputeL2Diff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
552 {
553   const PetscInt   debug = 0;
554   PetscSection     section;
555   PetscQuadrature  quad;
556   Vec              localX;
557   PetscScalar     *funcVal, *interpolant;
558   PetscReal       *coords, *detJ, *J;
559   PetscReal        localDiff = 0.0;
560   const PetscReal *quadWeights;
561   PetscInt         dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, cEndInterior, c, field, fieldOffset;
562   PetscErrorCode   ierr;
563 
564   PetscFunctionBegin;
565   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
566   ierr = DMGetCoordinateDim(dm, &coordDim);CHKERRQ(ierr);
567   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
568   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
569   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
570   ierr = DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);CHKERRQ(ierr);
571   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
572   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
573   for (field = 0; field < numFields; ++field) {
574     PetscObject  obj;
575     PetscClassId id;
576     PetscInt     Nc;
577 
578     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
579     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
580     if (id == PETSCFE_CLASSID) {
581       PetscFE fe = (PetscFE) obj;
582 
583       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
584       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
585     } else if (id == PETSCFV_CLASSID) {
586       PetscFV fv = (PetscFV) obj;
587 
588       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
589       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
590     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
591     numComponents += Nc;
592   }
593   ierr = PetscQuadratureGetData(quad, NULL, &qNc, &Nq, NULL, &quadWeights);CHKERRQ(ierr);
594   if ((qNc != 1) && (qNc != numComponents)) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_SIZ, "Quadrature components %D != %D field components", qNc, numComponents);
595   ierr = PetscMalloc5(numComponents,&funcVal,numComponents,&interpolant,coordDim*Nq,&coords,Nq,&detJ,coordDim*coordDim*Nq,&J);CHKERRQ(ierr);
596   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
597   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
598   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
599   for (c = cStart; c < cEnd; ++c) {
600     PetscScalar *x = NULL;
601     PetscReal    elemDiff = 0.0;
602     PetscInt     qc = 0;
603 
604     ierr = DMPlexComputeCellGeometryFEM(dm, c, quad, coords, J, NULL, detJ);CHKERRQ(ierr);
605     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
606 
607     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
608       PetscObject  obj;
609       PetscClassId id;
610       void * const ctx = ctxs ? ctxs[field] : NULL;
611       PetscInt     Nb, Nc, q, fc;
612 
613       ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
614       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
615       if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
616       else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
617       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
618       if (debug) {
619         char title[1024];
620         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
621         ierr = DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);CHKERRQ(ierr);
622       }
623       for (q = 0; q < Nq; ++q) {
624         if (detJ[q] <= 0.0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %D, point %D", detJ[q], c, q);
625         ierr = (*funcs[field])(coordDim, time, &coords[coordDim * q], Nc, funcVal, ctx);
626         if (ierr) {
627           PetscErrorCode ierr2;
628           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
629           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
630           ierr2 = PetscFree5(funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr2);
631           CHKERRQ(ierr);
632         }
633         if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
634         else if (id == PETSCFV_CLASSID) {ierr = PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
635         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
636         for (fc = 0; fc < Nc; ++fc) {
637           const PetscReal wt = quadWeights[q*qNc+(qNc == 1 ? 0 : qc+fc)];
638           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q]);CHKERRQ(ierr);}
639           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q];
640         }
641       }
642       fieldOffset += Nb;
643       qc += Nc;
644     }
645     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
646     if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);CHKERRQ(ierr);}
647     localDiff += elemDiff;
648   }
649   ierr  = PetscFree5(funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr);
650   ierr  = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
651   ierr  = MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
652   *diff = PetscSqrtReal(*diff);
653   PetscFunctionReturn(0);
654 }
655 
656 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)
657 {
658   const PetscInt   debug = 0;
659   PetscSection     section;
660   PetscQuadrature  quad;
661   Vec              localX;
662   PetscScalar     *funcVal, *interpolant;
663   const PetscReal *quadPoints, *quadWeights;
664   PetscReal       *coords, *realSpaceDer, *J, *invJ, *detJ;
665   PetscReal        localDiff = 0.0;
666   PetscInt         dim, coordDim, qNc = 0, Nq = 0, numFields, numComponents = 0, cStart, cEnd, cEndInterior, c, field, fieldOffset;
667   PetscErrorCode   ierr;
668 
669   PetscFunctionBegin;
670   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
671   ierr = DMGetCoordinateDim(dm, &coordDim);CHKERRQ(ierr);
672   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
673   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
674   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
675   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
676   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
677   for (field = 0; field < numFields; ++field) {
678     PetscFE  fe;
679     PetscInt Nc;
680 
681     ierr = DMGetField(dm, field, (PetscObject *) &fe);CHKERRQ(ierr);
682     ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
683     ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
684     numComponents += Nc;
685   }
686   ierr = PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights);CHKERRQ(ierr);
687   if ((qNc != 1) && (qNc != numComponents)) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_SIZ, "Quadrature components %D != %D field components", qNc, numComponents);
688   /* ierr = DMProjectFunctionLocal(dm, fe, funcs, INSERT_BC_VALUES, localX);CHKERRQ(ierr); */
689   ierr = PetscMalloc7(numComponents,&funcVal,coordDim*Nq,&coords,coordDim*Nq,&realSpaceDer,coordDim*coordDim*Nq,&J,coordDim*coordDim*Nq,&invJ,numComponents,&interpolant,Nq,&detJ);CHKERRQ(ierr);
690   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
691   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
692   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
693   for (c = cStart; c < cEnd; ++c) {
694     PetscScalar *x = NULL;
695     PetscReal    elemDiff = 0.0;
696     PetscInt     qc = 0;
697 
698     ierr = DMPlexComputeCellGeometryFEM(dm, c, quad, coords, J, invJ, detJ);CHKERRQ(ierr);
699     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
700 
701     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
702       PetscFE          fe;
703       void * const     ctx = ctxs ? ctxs[field] : NULL;
704       PetscReal       *basisDer;
705       PetscInt         Nb, Nc, q, fc;
706 
707       ierr = DMGetField(dm, field, (PetscObject *) &fe);CHKERRQ(ierr);
708       ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr);
709       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
710       ierr = PetscFEGetDefaultTabulation(fe, NULL, &basisDer, NULL);CHKERRQ(ierr);
711       if (debug) {
712         char title[1024];
713         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
714         ierr = DMPrintCellVector(c, title, Nb, &x[fieldOffset]);CHKERRQ(ierr);
715       }
716       for (q = 0; q < Nq; ++q) {
717         if (detJ[q] <= 0.0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %D, quadrature points %D", detJ[q], c, q);
718         ierr = (*funcs[field])(coordDim, time, &coords[q*coordDim], n, numFields, funcVal, ctx);
719         if (ierr) {
720           PetscErrorCode ierr2;
721           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
722           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
723           ierr2 = PetscFree7(funcVal,coords,realSpaceDer,J,invJ,interpolant,detJ);CHKERRQ(ierr2);
724           CHKERRQ(ierr);
725         }
726         ierr = PetscFEInterpolateGradient_Static(fe, &x[fieldOffset], coordDim, invJ, n, q, interpolant);CHKERRQ(ierr);
727         for (fc = 0; fc < Nc; ++fc) {
728           const PetscReal wt = quadWeights[q*qNc+(qNc == 1 ? 0 : qc+fc)];
729           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d fieldDer %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q]);CHKERRQ(ierr);}
730           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q];
731         }
732       }
733       fieldOffset += Nb;
734       qc          += Nc;
735     }
736     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
737     if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);CHKERRQ(ierr);}
738     localDiff += elemDiff;
739   }
740   ierr  = PetscFree7(funcVal,coords,realSpaceDer,J,invJ,interpolant,detJ);CHKERRQ(ierr);
741   ierr  = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
742   ierr  = MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
743   *diff = PetscSqrtReal(*diff);
744   PetscFunctionReturn(0);
745 }
746 
747 PetscErrorCode DMComputeL2FieldDiff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
748 {
749   const PetscInt   debug = 0;
750   PetscSection     section;
751   PetscQuadrature  quad;
752   Vec              localX;
753   PetscScalar     *funcVal, *interpolant;
754   PetscReal       *coords, *detJ, *J;
755   PetscReal       *localDiff;
756   const PetscReal *quadPoints, *quadWeights;
757   PetscInt         dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, cEndInterior, c, field, fieldOffset;
758   PetscErrorCode   ierr;
759 
760   PetscFunctionBegin;
761   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
762   ierr = DMGetCoordinateDim(dm, &coordDim);CHKERRQ(ierr);
763   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
764   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
765   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
766   ierr = DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);CHKERRQ(ierr);
767   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
768   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
769   for (field = 0; field < numFields; ++field) {
770     PetscObject  obj;
771     PetscClassId id;
772     PetscInt     Nc;
773 
774     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
775     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
776     if (id == PETSCFE_CLASSID) {
777       PetscFE fe = (PetscFE) obj;
778 
779       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
780       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
781     } else if (id == PETSCFV_CLASSID) {
782       PetscFV fv = (PetscFV) obj;
783 
784       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
785       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
786     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
787     numComponents += Nc;
788   }
789   ierr = PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights);CHKERRQ(ierr);
790   if ((qNc != 1) && (qNc != numComponents)) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_SIZ, "Quadrature components %D != %D field components", qNc, numComponents);
791   ierr = PetscCalloc6(numFields,&localDiff,numComponents,&funcVal,numComponents,&interpolant,coordDim*Nq,&coords,Nq,&detJ,coordDim*coordDim*Nq,&J);CHKERRQ(ierr);
792   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
793   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
794   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
795   for (c = cStart; c < cEnd; ++c) {
796     PetscScalar *x = NULL;
797     PetscInt     qc = 0;
798 
799     ierr = DMPlexComputeCellGeometryFEM(dm, c, quad, coords, J, NULL, detJ);CHKERRQ(ierr);
800     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
801 
802     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
803       PetscObject  obj;
804       PetscClassId id;
805       void * const ctx = ctxs ? ctxs[field] : NULL;
806       PetscInt     Nb, Nc, q, fc;
807 
808       PetscReal       elemDiff = 0.0;
809 
810       ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
811       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
812       if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
813       else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
814       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
815       if (debug) {
816         char title[1024];
817         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
818         ierr = DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);CHKERRQ(ierr);
819       }
820       for (q = 0; q < Nq; ++q) {
821         if (detJ[q] <= 0.0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %D, quadrature point %D", detJ, c, q);
822         ierr = (*funcs[field])(coordDim, time, &coords[coordDim*q], numFields, funcVal, ctx);
823         if (ierr) {
824           PetscErrorCode ierr2;
825           ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
826           ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
827           ierr2 = PetscFree6(localDiff,funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr2);
828           CHKERRQ(ierr);
829         }
830         if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
831         else if (id == PETSCFV_CLASSID) {ierr = PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
832         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
833         for (fc = 0; fc < Nc; ++fc) {
834           const PetscReal wt = quadWeights[q*qNc+(qNc == 1 ? 0 : qc+fc)];
835           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d point %g %g %g diff %g\n", c, field, coordDim > 0 ? coords[0] : 0., coordDim > 1 ? coords[1] : 0., coordDim > 2 ? coords[2] : 0., PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q]);CHKERRQ(ierr);}
836           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q];
837         }
838       }
839       fieldOffset += Nb;
840       qc          += Nc;
841       localDiff[field] += elemDiff;
842     }
843     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
844   }
845   ierr = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
846   ierr = MPIU_Allreduce(localDiff, diff, numFields, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
847   for (field = 0; field < numFields; ++field) diff[field] = PetscSqrtReal(diff[field]);
848   ierr = PetscFree6(localDiff,funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr);
849   PetscFunctionReturn(0);
850 }
851 
852 /*@C
853   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.
854 
855   Input Parameters:
856 + dm    - The DM
857 . time  - The time
858 . funcs - The functions to evaluate for each field component: NULL means that component does not contribute to error calculation
859 . ctxs  - Optional array of contexts to pass to each function, or NULL.
860 - X     - The coefficient vector u_h
861 
862   Output Parameter:
863 . D - A Vec which holds the difference ||u - u_h||_2 for each cell
864 
865   Level: developer
866 
867 .seealso: DMProjectFunction(), DMComputeL2Diff(), DMPlexComputeL2FieldDiff(), DMComputeL2GradientDiff()
868 @*/
869 PetscErrorCode DMPlexComputeL2DiffVec(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal [], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, Vec D)
870 {
871   PetscSection     section;
872   PetscQuadrature  quad;
873   Vec              localX;
874   PetscScalar     *funcVal, *interpolant;
875   PetscReal       *coords, *detJ, *J;
876   const PetscReal *quadPoints, *quadWeights;
877   PetscInt         dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, cEndInterior, c, field, fieldOffset;
878   PetscErrorCode   ierr;
879 
880   PetscFunctionBegin;
881   ierr = VecSet(D, 0.0);CHKERRQ(ierr);
882   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
883   ierr = DMGetCoordinateDim(dm, &coordDim);CHKERRQ(ierr);
884   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
885   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
886   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
887   ierr = DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX);CHKERRQ(ierr);
888   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
889   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
890   for (field = 0; field < numFields; ++field) {
891     PetscObject  obj;
892     PetscClassId id;
893     PetscInt     Nc;
894 
895     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
896     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
897     if (id == PETSCFE_CLASSID) {
898       PetscFE fe = (PetscFE) obj;
899 
900       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
901       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
902     } else if (id == PETSCFV_CLASSID) {
903       PetscFV fv = (PetscFV) obj;
904 
905       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
906       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
907     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
908     numComponents += Nc;
909   }
910   ierr = PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights);CHKERRQ(ierr);
911   if ((qNc != 1) && (qNc != numComponents)) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_SIZ, "Quadrature components %D != %D field components", qNc, numComponents);
912   ierr = PetscMalloc5(numComponents,&funcVal,numComponents,&interpolant,coordDim*Nq,&coords,Nq,&detJ,coordDim*coordDim*Nq,&J);CHKERRQ(ierr);
913   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
914   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
915   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
916   for (c = cStart; c < cEnd; ++c) {
917     PetscScalar *x = NULL;
918     PetscScalar  elemDiff = 0.0;
919     PetscInt     qc = 0;
920 
921     ierr = DMPlexComputeCellGeometryFEM(dm, c, quad, coords, J, NULL, detJ);CHKERRQ(ierr);
922     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
923 
924     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
925       PetscObject  obj;
926       PetscClassId id;
927       void * const ctx = ctxs ? ctxs[field] : NULL;
928       PetscInt     Nb, Nc, q, fc;
929 
930       ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
931       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
932       if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
933       else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
934       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
935       if (funcs[field]) {
936         for (q = 0; q < Nq; ++q) {
937           if (detJ[q] <= 0.0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %D, quadrature points %D", (double)detJ[q], c, q);
938           ierr = (*funcs[field])(dim, time, &coords[q*coordDim], Nc, funcVal, ctx);
939           if (ierr) {
940             PetscErrorCode ierr2;
941             ierr2 = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr2);
942             ierr2 = PetscFree5(funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr2);
943             ierr2 = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr2);
944             CHKERRQ(ierr);
945           }
946           if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
947           else if (id == PETSCFV_CLASSID) {ierr = PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
948           else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
949           for (fc = 0; fc < Nc; ++fc) {
950             const PetscReal wt = quadWeights[q*qNc+(qNc == 1 ? 0 : qc+fc)];
951             elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*wt*detJ[q];
952           }
953         }
954       }
955       fieldOffset += Nb;
956       qc          += Nc;
957     }
958     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
959     ierr = VecSetValue(D, c - cStart, elemDiff, INSERT_VALUES);CHKERRQ(ierr);
960   }
961   ierr = PetscFree5(funcVal,interpolant,coords,detJ,J);CHKERRQ(ierr);
962   ierr = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
963   ierr = VecSqrtAbs(D);CHKERRQ(ierr);
964   PetscFunctionReturn(0);
965 }
966 
967 /*@C
968   DMPlexComputeGradientClementInterpolant - This function computes the L2 projection of the cellwise gradient of a function u onto P1, and stores it in a Vec.
969 
970   Input Parameters:
971 + dm - The DM
972 - LocX  - The coefficient vector u_h
973 
974   Output Parameter:
975 . locC - A Vec which holds the Clement interpolant of the gradient
976 
977   Notes: Add citation to (Clement, 1975) and definition of the interpolant
978   \nabla u_h(v_i) = \sum_{T_i \in support(v_i)} |T_i| \nabla u_h(T_i) / \sum_{T_i \in support(v_i)} |T_i| where |T_i| is the cell volume
979 
980   Level: developer
981 
982 .seealso: DMProjectFunction(), DMComputeL2Diff(), DMPlexComputeL2FieldDiff(), DMComputeL2GradientDiff()
983 @*/
984 PetscErrorCode DMPlexComputeGradientClementInterpolant(DM dm, Vec locX, Vec locC)
985 {
986   DM_Plex         *mesh  = (DM_Plex *) dm->data;
987   PetscInt         debug = mesh->printFEM;
988   DM               dmC;
989   PetscSection     section;
990   PetscQuadrature  quad;
991   PetscScalar     *interpolant, *gradsum;
992   PetscReal       *coords, *detJ, *J, *invJ;
993   const PetscReal *quadPoints, *quadWeights;
994   PetscInt         dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, cEndInterior, vStart, vEnd, v, field, fieldOffset;
995   PetscErrorCode   ierr;
996 
997   PetscFunctionBegin;
998   ierr = VecGetDM(locC, &dmC);CHKERRQ(ierr);
999   ierr = VecSet(locC, 0.0);CHKERRQ(ierr);
1000   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1001   ierr = DMGetCoordinateDim(dm, &coordDim);CHKERRQ(ierr);
1002   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
1003   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
1004   for (field = 0; field < numFields; ++field) {
1005     PetscObject  obj;
1006     PetscClassId id;
1007     PetscInt     Nc;
1008 
1009     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
1010     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1011     if (id == PETSCFE_CLASSID) {
1012       PetscFE fe = (PetscFE) obj;
1013 
1014       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
1015       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1016     } else if (id == PETSCFV_CLASSID) {
1017       PetscFV fv = (PetscFV) obj;
1018 
1019       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
1020       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
1021     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1022     numComponents += Nc;
1023   }
1024   ierr = PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights);CHKERRQ(ierr);
1025   if ((qNc != 1) && (qNc != numComponents)) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_SIZ, "Quadrature components %D != %D field components", qNc, numComponents);
1026   ierr = PetscMalloc6(coordDim*numComponents*2,&gradsum,coordDim*numComponents,&interpolant,coordDim*Nq,&coords,Nq,&detJ,coordDim*coordDim*Nq,&J,coordDim*coordDim*Nq,&invJ);CHKERRQ(ierr);
1027   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1028   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
1029   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
1030   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1031   for (v = vStart; v < vEnd; ++v) {
1032     PetscScalar volsum = 0.0;
1033     PetscInt   *star = NULL;
1034     PetscInt    starSize, st, d, fc;
1035 
1036     ierr = PetscMemzero(gradsum, coordDim*numComponents * sizeof(PetscScalar));CHKERRQ(ierr);
1037     ierr = DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1038     for (st = 0; st < starSize*2; st += 2) {
1039       const PetscInt cell = star[st];
1040       PetscScalar   *grad = &gradsum[coordDim*numComponents];
1041       PetscScalar   *x    = NULL;
1042       PetscReal      vol  = 0.0;
1043 
1044       if ((cell < cStart) || (cell >= cEnd)) continue;
1045       ierr = DMPlexComputeCellGeometryFEM(dm, cell, quad, coords, J, invJ, detJ);CHKERRQ(ierr);
1046       ierr = DMPlexVecGetClosure(dm, NULL, locX, cell, NULL, &x);CHKERRQ(ierr);
1047       for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1048         PetscObject  obj;
1049         PetscClassId id;
1050         PetscInt     Nb, Nc, q, qc = 0;
1051 
1052         ierr = PetscMemzero(grad, coordDim*numComponents * sizeof(PetscScalar));CHKERRQ(ierr);
1053         ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
1054         ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1055         if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
1056         else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
1057         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
1058         for (q = 0; q < Nq; ++q) {
1059           if (detJ[q] <= 0.0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %D, quadrature points %D", (double)detJ[q], cell, q);
1060           if (ierr) {
1061             PetscErrorCode ierr2;
1062             ierr2 = DMPlexVecRestoreClosure(dm, NULL, locX, cell, NULL, &x);CHKERRQ(ierr2);
1063             ierr2 = DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr2);
1064             ierr2 = PetscFree4(interpolant,coords,detJ,J);CHKERRQ(ierr2);
1065             CHKERRQ(ierr);
1066           }
1067           if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolateGradient_Static((PetscFE) obj, &x[fieldOffset], coordDim, invJ, NULL, q, interpolant);CHKERRQ(ierr);}
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             const PetscReal wt = quadWeights[q*qNc+qc+fc];
1071 
1072             for (d = 0; d < coordDim; ++d) grad[fc*coordDim+d] += interpolant[fc*dim+d]*wt*detJ[q];
1073           }
1074           vol += quadWeights[q*qNc]*detJ[q];
1075         }
1076         fieldOffset += Nb;
1077         qc          += Nc;
1078       }
1079       ierr = DMPlexVecRestoreClosure(dm, NULL, locX, cell, NULL, &x);CHKERRQ(ierr);
1080       if (debug) {
1081         ierr = PetscPrintf(PETSC_COMM_SELF, "Cell %d gradient: [", cell);CHKERRQ(ierr);
1082         for (fc = 0; fc < numComponents; ++fc) {
1083           for (d = 0; d < coordDim; ++d) {
1084             if (fc || d > 0) {ierr = PetscPrintf(PETSC_COMM_SELF, ", ");CHKERRQ(ierr);}
1085             ierr = PetscPrintf(PETSC_COMM_SELF, "%g", grad[fc*coordDim+d]);CHKERRQ(ierr);
1086             gradsum[fc*coordDim+d] += grad[fc*coordDim+d];
1087           }
1088         }
1089         ierr = PetscPrintf(PETSC_COMM_SELF, "]\n");CHKERRQ(ierr);
1090       }
1091       volsum += vol;
1092     }
1093     for (fc = 0; fc < numComponents; ++fc) {
1094       for (d = 0; d < coordDim; ++d) gradsum[fc*coordDim+d] /= volsum;
1095     }
1096     ierr = DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1097     ierr = DMPlexVecSetClosure(dmC, NULL, locC, v, gradsum, INSERT_VALUES);CHKERRQ(ierr);
1098   }
1099   ierr = PetscFree6(gradsum,interpolant,coords,detJ,J,invJ);CHKERRQ(ierr);
1100   PetscFunctionReturn(0);
1101 }
1102 
1103 /*@
1104   DMPlexComputeIntegralFEM - Form the local integral F from the local input X using pointwise functions specified by the user
1105 
1106   Input Parameters:
1107 + dm - The mesh
1108 . X  - Local input vector
1109 - user - The user context
1110 
1111   Output Parameter:
1112 . integral - Local integral for each field
1113 
1114   Level: developer
1115 
1116 .seealso: DMPlexComputeResidualFEM()
1117 @*/
1118 PetscErrorCode DMPlexComputeIntegralFEM(DM dm, Vec X, PetscReal *integral, void *user)
1119 {
1120   DM_Plex           *mesh  = (DM_Plex *) dm->data;
1121   DM                 dmAux, dmGrad;
1122   Vec                localX, A, cellGeometryFVM = NULL, faceGeometryFVM = NULL, locGrad = NULL;
1123   PetscDS            prob, probAux = NULL;
1124   PetscSection       section, sectionAux;
1125   PetscFV            fvm = NULL;
1126   PetscFECellGeom   *cgeomFEM;
1127   PetscFVFaceGeom   *fgeomFVM;
1128   PetscFVCellGeom   *cgeomFVM;
1129   PetscScalar       *u, *a = NULL;
1130   const PetscScalar *constants, *lgrad;
1131   PetscReal         *lintegral;
1132   PetscInt          *uOff, *uOff_x, *aOff = NULL;
1133   PetscInt           dim, numConstants, Nf, NfAux = 0, f, numCells, cStart, cEnd, cEndInterior, c;
1134   PetscInt           totDim, totDimAux;
1135   PetscBool          useFVM = PETSC_FALSE;
1136   PetscErrorCode     ierr;
1137 
1138   PetscFunctionBegin;
1139   ierr = PetscLogEventBegin(DMPLEX_IntegralFEM,dm,0,0,0);CHKERRQ(ierr);
1140   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
1141   ierr = DMPlexInsertBoundaryValues(dm, PETSC_TRUE, localX, 0.0, NULL, NULL, NULL);CHKERRQ(ierr);
1142   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
1143   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
1144   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1145   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
1146   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
1147   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
1148   ierr = PetscDSGetComponentOffsets(prob, &uOff);CHKERRQ(ierr);
1149   ierr = PetscDSGetComponentDerivativeOffsets(prob, &uOff_x);CHKERRQ(ierr);
1150   ierr = PetscDSGetConstants(prob, &numConstants, &constants);CHKERRQ(ierr);
1151   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
1152   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
1153   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
1154   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1155   numCells = cEnd - cStart;
1156   ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr);
1157   ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr);
1158   if (dmAux) {
1159     ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr);
1160     ierr = PetscDSGetNumFields(probAux, &NfAux);CHKERRQ(ierr);
1161     ierr = DMGetDefaultSection(dmAux, &sectionAux);CHKERRQ(ierr);
1162     ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr);
1163     ierr = PetscDSGetComponentOffsets(probAux, &aOff);CHKERRQ(ierr);
1164     ierr = PetscDSGetEvaluationArrays(probAux, &a, NULL, NULL);CHKERRQ(ierr);
1165   }
1166   for (f = 0; f < Nf; ++f) {
1167     PetscObject  obj;
1168     PetscClassId id;
1169 
1170     ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr);
1171     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1172     if (id == PETSCFV_CLASSID) {useFVM = PETSC_TRUE; fvm = (PetscFV) obj;}
1173   }
1174   if (useFVM) {
1175     Vec       grad;
1176     PetscInt  fStart, fEnd;
1177     PetscBool compGrad;
1178 
1179     ierr = PetscFVGetComputeGradients(fvm, &compGrad);CHKERRQ(ierr);
1180     ierr = PetscFVSetComputeGradients(fvm, PETSC_TRUE);CHKERRQ(ierr);
1181     ierr = DMPlexComputeGeometryFVM(dm, &cellGeometryFVM, &faceGeometryFVM);CHKERRQ(ierr);
1182     ierr = DMPlexComputeGradientFVM(dm, fvm, faceGeometryFVM, cellGeometryFVM, &dmGrad);CHKERRQ(ierr);
1183     ierr = PetscFVSetComputeGradients(fvm, compGrad);CHKERRQ(ierr);
1184     ierr = VecGetArrayRead(faceGeometryFVM, (const PetscScalar **) &fgeomFVM);CHKERRQ(ierr);
1185     ierr = VecGetArrayRead(cellGeometryFVM, (const PetscScalar **) &cgeomFVM);CHKERRQ(ierr);
1186     /* Reconstruct and limit cell gradients */
1187     ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
1188     ierr = DMGetGlobalVector(dmGrad, &grad);CHKERRQ(ierr);
1189     ierr = DMPlexReconstructGradients_Internal(dm, fvm, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, localX, grad);CHKERRQ(ierr);
1190     /* Communicate gradient values */
1191     ierr = DMGetLocalVector(dmGrad, &locGrad);CHKERRQ(ierr);
1192     ierr = DMGlobalToLocalBegin(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1193     ierr = DMGlobalToLocalEnd(dmGrad, grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
1194     ierr = DMRestoreGlobalVector(dmGrad, &grad);CHKERRQ(ierr);
1195     /* Handle non-essential (e.g. outflow) boundary values */
1196     ierr = DMPlexInsertBoundaryValues(dm, PETSC_FALSE, localX, 0.0, faceGeometryFVM, cellGeometryFVM, locGrad);CHKERRQ(ierr);
1197     ierr = VecGetArrayRead(locGrad, &lgrad);CHKERRQ(ierr);
1198   }
1199   ierr = PetscMalloc3(Nf,&lintegral,numCells*totDim,&u,numCells,&cgeomFEM);CHKERRQ(ierr);
1200   if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);}
1201   for (f = 0; f < Nf; ++f) {lintegral[f] = 0.0;}
1202   for (c = cStart; c < cEnd; ++c) {
1203     PetscScalar *x = NULL;
1204     PetscInt     i;
1205 
1206     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, cgeomFEM[c].v0, cgeomFEM[c].J, cgeomFEM[c].invJ, &cgeomFEM[c].detJ);CHKERRQ(ierr);
1207     if (cgeomFEM[c].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", cgeomFEM[c].detJ, c);
1208     ierr = DMPlexVecGetClosure(dm, section, localX, c, NULL, &x);CHKERRQ(ierr);
1209     for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i];
1210     ierr = DMPlexVecRestoreClosure(dm, section, localX, c, NULL, &x);CHKERRQ(ierr);
1211     if (dmAux) {
1212       ierr = DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr);
1213       for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i];
1214       ierr = DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr);
1215     }
1216   }
1217   for (f = 0; f < Nf; ++f) {
1218     PetscObject  obj;
1219     PetscClassId id;
1220     PetscInt     numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;
1221 
1222     ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr);
1223     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1224     if (id == PETSCFE_CLASSID) {
1225       PetscFE         fe = (PetscFE) obj;
1226       PetscQuadrature q;
1227       PetscInt        Nq, Nb;
1228 
1229       ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr);
1230       ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr);
1231       ierr = PetscQuadratureGetData(q, NULL, NULL, &Nq, NULL, NULL);CHKERRQ(ierr);
1232       ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr);
1233       blockSize = Nb*Nq;
1234       batchSize = numBlocks * blockSize;
1235       ierr = PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr);
1236       numChunks = numCells / (numBatches*batchSize);
1237       Ne        = numChunks*numBatches*batchSize;
1238       Nr        = numCells % (numBatches*batchSize);
1239       offset    = numCells - Nr;
1240       ierr = PetscFEIntegrate(fe, prob, f, Ne, cgeomFEM, u, probAux, a, lintegral);CHKERRQ(ierr);
1241       ierr = PetscFEIntegrate(fe, prob, f, Nr, &cgeomFEM[offset], &u[offset*totDim], probAux, &a[offset*totDimAux], lintegral);CHKERRQ(ierr);
1242     } else if (id == PETSCFV_CLASSID) {
1243       /* PetscFV  fv = (PetscFV) obj; */
1244       PetscInt       foff;
1245       PetscPointFunc obj_func;
1246       PetscScalar    lint;
1247 
1248       ierr = PetscDSGetObjective(prob, f, &obj_func);CHKERRQ(ierr);
1249       ierr = PetscDSGetFieldOffset(prob, f, &foff);CHKERRQ(ierr);
1250       if (obj_func) {
1251         for (c = 0; c < numCells; ++c) {
1252           PetscScalar *u_x;
1253 
1254           ierr = DMPlexPointLocalRead(dmGrad, c, lgrad, &u_x);CHKERRQ(ierr);
1255           obj_func(dim, Nf, NfAux, uOff, uOff_x, &u[totDim*c+foff], NULL, u_x, aOff, NULL, a, NULL, NULL, 0.0, cgeomFVM[c].centroid, numConstants, constants, &lint);
1256           lintegral[f] += PetscRealPart(lint)*cgeomFVM[c].volume;
1257         }
1258       }
1259     } else SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
1260   }
1261   if (useFVM) {
1262     ierr = VecRestoreArrayRead(locGrad, &lgrad);CHKERRQ(ierr);
1263     ierr = VecRestoreArrayRead(faceGeometryFVM, (const PetscScalar **) &fgeomFVM);CHKERRQ(ierr);
1264     ierr = VecRestoreArrayRead(cellGeometryFVM, (const PetscScalar **) &cgeomFVM);CHKERRQ(ierr);
1265     ierr = DMRestoreLocalVector(dmGrad, &locGrad);CHKERRQ(ierr);
1266     ierr = VecDestroy(&faceGeometryFVM);CHKERRQ(ierr);
1267     ierr = VecDestroy(&cellGeometryFVM);CHKERRQ(ierr);
1268     ierr = DMDestroy(&dmGrad);CHKERRQ(ierr);
1269   }
1270   if (dmAux) {ierr = PetscFree(a);CHKERRQ(ierr);}
1271   if (mesh->printFEM) {
1272     ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "Local integral:");CHKERRQ(ierr);
1273     for (f = 0; f < Nf; ++f) {ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), " %g", lintegral[f]);CHKERRQ(ierr);}
1274     ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "\n");CHKERRQ(ierr);
1275   }
1276   ierr = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
1277   ierr = MPIU_Allreduce(lintegral, integral, Nf, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject) dm));CHKERRQ(ierr);
1278   ierr = PetscFree3(lintegral,u,cgeomFEM);CHKERRQ(ierr);
1279   ierr = PetscLogEventEnd(DMPLEX_IntegralFEM,dm,0,0,0);CHKERRQ(ierr);
1280   PetscFunctionReturn(0);
1281 }
1282 
1283 /*@
1284   DMPlexComputeInterpolatorNested - Form the local portion of the interpolation matrix I from the coarse DM to the uniformly refined DM.
1285 
1286   Input Parameters:
1287 + dmf  - The fine mesh
1288 . dmc  - The coarse mesh
1289 - user - The user context
1290 
1291   Output Parameter:
1292 . In  - The interpolation matrix
1293 
1294   Level: developer
1295 
1296 .seealso: DMPlexComputeInterpolatorGeneral(), DMPlexComputeJacobianFEM()
1297 @*/
1298 PetscErrorCode DMPlexComputeInterpolatorNested(DM dmc, DM dmf, Mat In, void *user)
1299 {
1300   DM_Plex          *mesh  = (DM_Plex *) dmc->data;
1301   const char       *name  = "Interpolator";
1302   PetscDS           prob;
1303   PetscFE          *feRef;
1304   PetscFV          *fvRef;
1305   PetscSection      fsection, fglobalSection;
1306   PetscSection      csection, cglobalSection;
1307   PetscScalar      *elemMat;
1308   PetscInt          dim, Nf, f, fieldI, fieldJ, offsetI, offsetJ, cStart, cEnd, cEndInterior, c;
1309   PetscInt          cTotDim, rTotDim = 0;
1310   PetscErrorCode    ierr;
1311 
1312   PetscFunctionBegin;
1313   ierr = PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1314   ierr = DMGetDimension(dmf, &dim);CHKERRQ(ierr);
1315   ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);
1316   ierr = DMGetDefaultGlobalSection(dmf, &fglobalSection);CHKERRQ(ierr);
1317   ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);
1318   ierr = DMGetDefaultGlobalSection(dmc, &cglobalSection);CHKERRQ(ierr);
1319   ierr = PetscSectionGetNumFields(fsection, &Nf);CHKERRQ(ierr);
1320   ierr = DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);CHKERRQ(ierr);
1321   ierr = DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
1322   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1323   ierr = DMGetDS(dmf, &prob);CHKERRQ(ierr);
1324   ierr = PetscCalloc2(Nf,&feRef,Nf,&fvRef);CHKERRQ(ierr);
1325   for (f = 0; f < Nf; ++f) {
1326     PetscObject  obj;
1327     PetscClassId id;
1328     PetscInt     rNb = 0, Nc = 0;
1329 
1330     ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr);
1331     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1332     if (id == PETSCFE_CLASSID) {
1333       PetscFE fe = (PetscFE) obj;
1334 
1335       ierr = PetscFERefine(fe, &feRef[f]);CHKERRQ(ierr);
1336       ierr = PetscFEGetDimension(feRef[f], &rNb);CHKERRQ(ierr);
1337       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1338     } else if (id == PETSCFV_CLASSID) {
1339       PetscFV        fv = (PetscFV) obj;
1340       PetscDualSpace Q;
1341 
1342       ierr = PetscFVRefine(fv, &fvRef[f]);CHKERRQ(ierr);
1343       ierr = PetscFVGetDualSpace(fvRef[f], &Q);CHKERRQ(ierr);
1344       ierr = PetscDualSpaceGetDimension(Q, &rNb);CHKERRQ(ierr);
1345       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
1346     }
1347     rTotDim += rNb;
1348   }
1349   ierr = PetscDSGetTotalDimension(prob, &cTotDim);CHKERRQ(ierr);
1350   ierr = PetscMalloc1(rTotDim*cTotDim,&elemMat);CHKERRQ(ierr);
1351   ierr = PetscMemzero(elemMat, rTotDim*cTotDim * sizeof(PetscScalar));CHKERRQ(ierr);
1352   for (fieldI = 0, offsetI = 0; fieldI < Nf; ++fieldI) {
1353     PetscDualSpace   Qref;
1354     PetscQuadrature  f;
1355     const PetscReal *qpoints, *qweights;
1356     PetscReal       *points;
1357     PetscInt         npoints = 0, Nc, Np, fpdim, i, k, p, d;
1358 
1359     /* Compose points from all dual basis functionals */
1360     if (feRef[fieldI]) {
1361       ierr = PetscFEGetDualSpace(feRef[fieldI], &Qref);CHKERRQ(ierr);
1362       ierr = PetscFEGetNumComponents(feRef[fieldI], &Nc);CHKERRQ(ierr);
1363     } else {
1364       ierr = PetscFVGetDualSpace(fvRef[fieldI], &Qref);CHKERRQ(ierr);
1365       ierr = PetscFVGetNumComponents(fvRef[fieldI], &Nc);CHKERRQ(ierr);
1366     }
1367     ierr = PetscDualSpaceGetDimension(Qref, &fpdim);CHKERRQ(ierr);
1368     for (i = 0; i < fpdim; ++i) {
1369       ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1370       ierr = PetscQuadratureGetData(f, NULL, NULL, &Np, NULL, NULL);CHKERRQ(ierr);
1371       npoints += Np;
1372     }
1373     ierr = PetscMalloc1(npoints*dim,&points);CHKERRQ(ierr);
1374     for (i = 0, k = 0; i < fpdim; ++i) {
1375       ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1376       ierr = PetscQuadratureGetData(f, NULL, NULL, &Np, &qpoints, NULL);CHKERRQ(ierr);
1377       for (p = 0; p < Np; ++p, ++k) for (d = 0; d < dim; ++d) points[k*dim+d] = qpoints[p*dim+d];
1378     }
1379 
1380     for (fieldJ = 0, offsetJ = 0; fieldJ < Nf; ++fieldJ) {
1381       PetscObject  obj;
1382       PetscClassId id;
1383       PetscReal   *B;
1384       PetscInt     NcJ = 0, cpdim = 0, j, qNc;
1385 
1386       ierr = PetscDSGetDiscretization(prob, fieldJ, &obj);CHKERRQ(ierr);
1387       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1388       if (id == PETSCFE_CLASSID) {
1389         PetscFE fe = (PetscFE) obj;
1390 
1391         /* Evaluate basis at points */
1392         ierr = PetscFEGetNumComponents(fe, &NcJ);CHKERRQ(ierr);
1393         ierr = PetscFEGetDimension(fe, &cpdim);CHKERRQ(ierr);
1394         /* For now, fields only interpolate themselves */
1395         if (fieldI == fieldJ) {
1396           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);
1397           ierr = PetscFEGetTabulation(fe, npoints, points, &B, NULL, NULL);CHKERRQ(ierr);
1398           for (i = 0, k = 0; i < fpdim; ++i) {
1399             ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1400             ierr = PetscQuadratureGetData(f, NULL, &qNc, &Np, NULL, &qweights);CHKERRQ(ierr);
1401             if (qNc != NcJ) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %D does not match coarse field %D", qNc, NcJ);
1402             for (p = 0; p < Np; ++p, ++k) {
1403               for (j = 0; j < cpdim; ++j) {
1404                 /* NOTE: This is not quite right, unless fpdim == number of fine grid functional quad points */
1405                 for (c = 0; c < Nc; ++c) elemMat[(offsetI + i)*cTotDim + offsetJ + j] += B[k*cpdim*NcJ+j*Nc+c]*qweights[p*qNc+c];
1406               }
1407             }
1408           }
1409           ierr = PetscFERestoreTabulation(fe, npoints, points, &B, NULL, NULL);CHKERRQ(ierr);CHKERRQ(ierr);
1410         }
1411       } else if (id == PETSCFV_CLASSID) {
1412         PetscFV        fv = (PetscFV) obj;
1413 
1414         /* Evaluate constant function at points */
1415         ierr = PetscFVGetNumComponents(fv, &NcJ);CHKERRQ(ierr);
1416         cpdim = 1;
1417         /* For now, fields only interpolate themselves */
1418         if (fieldI == fieldJ) {
1419           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);
1420           for (i = 0, k = 0; i < fpdim; ++i) {
1421             ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1422             ierr = PetscQuadratureGetData(f, NULL, &qNc, &Np, NULL, &qweights);CHKERRQ(ierr);
1423             if (qNc != NcJ) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %D does not match coarse field %D", qNc, NcJ);
1424             for (p = 0; p < Np; ++p, ++k) {
1425               for (j = 0; j < cpdim; ++j) {
1426                 for (c = 0; c < Nc; ++c) elemMat[(offsetI + i*Nc + c)*cTotDim + offsetJ + j*NcJ + c] += 1.0*qweights[p*qNc+c];
1427               }
1428             }
1429           }
1430         }
1431       }
1432       offsetJ += cpdim*NcJ;
1433     }
1434     offsetI += fpdim*Nc;
1435     ierr = PetscFree(points);CHKERRQ(ierr);
1436   }
1437   if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(0, name, rTotDim, cTotDim, elemMat);CHKERRQ(ierr);}
1438   /* Preallocate matrix */
1439   {
1440     Mat          preallocator;
1441     PetscScalar *vals;
1442     PetscInt    *cellCIndices, *cellFIndices;
1443     PetscInt     locRows, locCols, cell;
1444 
1445     ierr = MatGetLocalSize(In, &locRows, &locCols);CHKERRQ(ierr);
1446     ierr = MatCreate(PetscObjectComm((PetscObject) In), &preallocator);CHKERRQ(ierr);
1447     ierr = MatSetType(preallocator, MATPREALLOCATOR);CHKERRQ(ierr);
1448     ierr = MatSetSizes(preallocator, locRows, locCols, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
1449     ierr = MatSetUp(preallocator);CHKERRQ(ierr);
1450     ierr = PetscCalloc3(rTotDim*cTotDim, &vals,cTotDim,&cellCIndices,rTotDim,&cellFIndices);CHKERRQ(ierr);
1451     for (cell = cStart; cell < cEnd; ++cell) {
1452       ierr = DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, cell, cellCIndices, cellFIndices);CHKERRQ(ierr);
1453       ierr = MatSetValues(preallocator, rTotDim, cellFIndices, cTotDim, cellCIndices, vals, INSERT_VALUES);CHKERRQ(ierr);
1454     }
1455     ierr = PetscFree3(vals,cellCIndices,cellFIndices);CHKERRQ(ierr);
1456     ierr = MatAssemblyBegin(preallocator, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1457     ierr = MatAssemblyEnd(preallocator, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1458     ierr = MatPreallocatorPreallocate(preallocator, PETSC_TRUE, In);CHKERRQ(ierr);
1459     ierr = MatDestroy(&preallocator);CHKERRQ(ierr);
1460   }
1461   /* Fill matrix */
1462   ierr = MatZeroEntries(In);CHKERRQ(ierr);
1463   for (c = cStart; c < cEnd; ++c) {
1464     ierr = DMPlexMatSetClosureRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, In, c, elemMat, INSERT_VALUES);CHKERRQ(ierr);
1465   }
1466   for (f = 0; f < Nf; ++f) {ierr = PetscFEDestroy(&feRef[f]);CHKERRQ(ierr);}
1467   ierr = PetscFree2(feRef,fvRef);CHKERRQ(ierr);
1468   ierr = PetscFree(elemMat);CHKERRQ(ierr);
1469   ierr = MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1470   ierr = MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1471   if (mesh->printFEM) {
1472     ierr = PetscPrintf(PETSC_COMM_WORLD, "%s:\n", name);CHKERRQ(ierr);
1473     ierr = MatChop(In, 1.0e-10);CHKERRQ(ierr);
1474     ierr = MatView(In, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
1475   }
1476   ierr = PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1477   PetscFunctionReturn(0);
1478 }
1479 
1480 /*@
1481   DMPlexComputeInterpolatorGeneral - Form the local portion of the interpolation matrix I from the coarse DM to a non-nested fine DM.
1482 
1483   Input Parameters:
1484 + dmf  - The fine mesh
1485 . dmc  - The coarse mesh
1486 - user - The user context
1487 
1488   Output Parameter:
1489 . In  - The interpolation matrix
1490 
1491   Level: developer
1492 
1493 .seealso: DMPlexComputeInterpolatorNested(), DMPlexComputeJacobianFEM()
1494 @*/
1495 PetscErrorCode DMPlexComputeInterpolatorGeneral(DM dmc, DM dmf, Mat In, void *user)
1496 {
1497   DM_Plex       *mesh = (DM_Plex *) dmf->data;
1498   const char    *name = "Interpolator";
1499   PetscDS        prob;
1500   PetscSection   fsection, csection, globalFSection, globalCSection;
1501   PetscHashJK    ht;
1502   PetscLayout    rLayout;
1503   PetscInt      *dnz, *onz;
1504   PetscInt       locRows, rStart, rEnd;
1505   PetscReal     *x, *v0, *J, *invJ, detJ;
1506   PetscReal     *v0c, *Jc, *invJc, detJc;
1507   PetscScalar   *elemMat;
1508   PetscInt       dim, Nf, field, totDim, cStart, cEnd, cell, ccell;
1509   PetscErrorCode ierr;
1510 
1511   PetscFunctionBegin;
1512   ierr = PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1513   ierr = DMGetCoordinateDim(dmc, &dim);CHKERRQ(ierr);
1514   ierr = DMGetDS(dmc, &prob);CHKERRQ(ierr);
1515   ierr = PetscDSGetRefCoordArrays(prob, &x, NULL);CHKERRQ(ierr);
1516   ierr = PetscDSGetNumFields(prob, &Nf);CHKERRQ(ierr);
1517   ierr = PetscMalloc3(dim,&v0,dim*dim,&J,dim*dim,&invJ);CHKERRQ(ierr);
1518   ierr = PetscMalloc3(dim,&v0c,dim*dim,&Jc,dim*dim,&invJc);CHKERRQ(ierr);
1519   ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);
1520   ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);
1521   ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);
1522   ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);
1523   ierr = DMPlexGetHeightStratum(dmf, 0, &cStart, &cEnd);CHKERRQ(ierr);
1524   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
1525   ierr = PetscMalloc1(totDim, &elemMat);CHKERRQ(ierr);
1526 
1527   ierr = MatGetLocalSize(In, &locRows, NULL);CHKERRQ(ierr);
1528   ierr = PetscLayoutCreate(PetscObjectComm((PetscObject) In), &rLayout);CHKERRQ(ierr);
1529   ierr = PetscLayoutSetLocalSize(rLayout, locRows);CHKERRQ(ierr);
1530   ierr = PetscLayoutSetBlockSize(rLayout, 1);CHKERRQ(ierr);
1531   ierr = PetscLayoutSetUp(rLayout);CHKERRQ(ierr);
1532   ierr = PetscLayoutGetRange(rLayout, &rStart, &rEnd);CHKERRQ(ierr);
1533   ierr = PetscLayoutDestroy(&rLayout);CHKERRQ(ierr);
1534   ierr = PetscCalloc2(locRows,&dnz,locRows,&onz);CHKERRQ(ierr);
1535   ierr = PetscHashJKCreate(&ht);CHKERRQ(ierr);
1536   for (field = 0; field < Nf; ++field) {
1537     PetscObject      obj;
1538     PetscClassId     id;
1539     PetscDualSpace   Q = NULL;
1540     PetscQuadrature  f;
1541     const PetscReal *qpoints;
1542     PetscInt         Nc, Np, fpdim, i, d;
1543 
1544     ierr = PetscDSGetDiscretization(prob, field, &obj);CHKERRQ(ierr);
1545     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1546     if (id == PETSCFE_CLASSID) {
1547       PetscFE fe = (PetscFE) obj;
1548 
1549       ierr = PetscFEGetDualSpace(fe, &Q);CHKERRQ(ierr);
1550       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1551     } else if (id == PETSCFV_CLASSID) {
1552       PetscFV fv = (PetscFV) obj;
1553 
1554       ierr = PetscFVGetDualSpace(fv, &Q);CHKERRQ(ierr);
1555       Nc   = 1;
1556     }
1557     ierr = PetscDualSpaceGetDimension(Q, &fpdim);CHKERRQ(ierr);
1558     /* For each fine grid cell */
1559     for (cell = cStart; cell < cEnd; ++cell) {
1560       PetscInt *findices,   *cindices;
1561       PetscInt  numFIndices, numCIndices;
1562 
1563       ierr = DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);CHKERRQ(ierr);
1564       ierr = DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
1565       if (numFIndices != fpdim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fine indices %d != %d dual basis vecs", numFIndices, fpdim);
1566       for (i = 0; i < fpdim; ++i) {
1567         Vec             pointVec;
1568         PetscScalar    *pV;
1569         PetscSF         coarseCellSF = NULL;
1570         const PetscSFNode *coarseCells;
1571         PetscInt        numCoarseCells, q, c;
1572 
1573         /* Get points from the dual basis functional quadrature */
1574         ierr = PetscDualSpaceGetFunctional(Q, i, &f);CHKERRQ(ierr);
1575         ierr = PetscQuadratureGetData(f, NULL, NULL, &Np, &qpoints, NULL);CHKERRQ(ierr);
1576         ierr = VecCreateSeq(PETSC_COMM_SELF, Np*dim, &pointVec);CHKERRQ(ierr);
1577         ierr = VecSetBlockSize(pointVec, dim);CHKERRQ(ierr);
1578         ierr = VecGetArray(pointVec, &pV);CHKERRQ(ierr);
1579         for (q = 0; q < Np; ++q) {
1580           /* Transform point to real space */
1581           CoordinatesRefToReal(dim, dim, v0, J, &qpoints[q*dim], x);
1582           for (d = 0; d < dim; ++d) pV[q*dim+d] = x[d];
1583         }
1584         ierr = VecRestoreArray(pointVec, &pV);CHKERRQ(ierr);
1585         /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
1586         /* OPT: Pack all quad points from fine cell */
1587         ierr = DMLocatePoints(dmc, pointVec, DM_POINTLOCATION_NEAREST, &coarseCellSF);CHKERRQ(ierr);
1588         ierr = PetscSFViewFromOptions(coarseCellSF, NULL, "-interp_sf_view");CHKERRQ(ierr);
1589         /* Update preallocation info */
1590         ierr = PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells);CHKERRQ(ierr);
1591         if (numCoarseCells != Np) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not all closure points located");
1592         {
1593           PetscHashJKKey  key;
1594           PetscHashJKIter missing, iter;
1595 
1596           key.j = findices[i];
1597           if (key.j >= 0) {
1598             /* Get indices for coarse elements */
1599             for (ccell = 0; ccell < numCoarseCells; ++ccell) {
1600               ierr = DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);CHKERRQ(ierr);
1601               for (c = 0; c < numCIndices; ++c) {
1602                 key.k = cindices[c];
1603                 if (key.k < 0) continue;
1604                 ierr = PetscHashJKPut(ht, key, &missing, &iter);CHKERRQ(ierr);
1605                 if (missing) {
1606                   ierr = PetscHashJKSet(ht, iter, 1);CHKERRQ(ierr);
1607                   if ((key.k >= rStart) && (key.k < rEnd)) ++dnz[key.j-rStart];
1608                   else                                     ++onz[key.j-rStart];
1609                 }
1610               }
1611               ierr = DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);CHKERRQ(ierr);
1612             }
1613           }
1614         }
1615         ierr = PetscSFDestroy(&coarseCellSF);CHKERRQ(ierr);
1616         ierr = VecDestroy(&pointVec);CHKERRQ(ierr);
1617       }
1618       ierr = DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);CHKERRQ(ierr);
1619     }
1620   }
1621   ierr = PetscHashJKDestroy(&ht);CHKERRQ(ierr);
1622   ierr = MatXAIJSetPreallocation(In, 1, dnz, onz, NULL, NULL);CHKERRQ(ierr);
1623   ierr = MatSetOption(In, MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1624   ierr = PetscFree2(dnz,onz);CHKERRQ(ierr);
1625   for (field = 0; field < Nf; ++field) {
1626     PetscObject      obj;
1627     PetscClassId     id;
1628     PetscDualSpace   Q = NULL;
1629     PetscQuadrature  f;
1630     const PetscReal *qpoints, *qweights;
1631     PetscInt         Nc, qNc, Np, fpdim, i, d;
1632 
1633     ierr = PetscDSGetDiscretization(prob, field, &obj);CHKERRQ(ierr);
1634     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1635     if (id == PETSCFE_CLASSID) {
1636       PetscFE fe = (PetscFE) obj;
1637 
1638       ierr = PetscFEGetDualSpace(fe, &Q);CHKERRQ(ierr);
1639       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1640     } else if (id == PETSCFV_CLASSID) {
1641       PetscFV fv = (PetscFV) obj;
1642 
1643       ierr = PetscFVGetDualSpace(fv, &Q);CHKERRQ(ierr);
1644       Nc   = 1;
1645     }
1646     ierr = PetscDualSpaceGetDimension(Q, &fpdim);CHKERRQ(ierr);
1647     /* For each fine grid cell */
1648     for (cell = cStart; cell < cEnd; ++cell) {
1649       PetscInt *findices,   *cindices;
1650       PetscInt  numFIndices, numCIndices;
1651 
1652       ierr = DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);CHKERRQ(ierr);
1653       ierr = DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
1654       if (numFIndices != fpdim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fine indices %d != %d dual basis vecs", numFIndices, fpdim);
1655       for (i = 0; i < fpdim; ++i) {
1656         Vec             pointVec;
1657         PetscScalar    *pV;
1658         PetscSF         coarseCellSF = NULL;
1659         const PetscSFNode *coarseCells;
1660         PetscInt        numCoarseCells, cpdim, q, c, j;
1661 
1662         /* Get points from the dual basis functional quadrature */
1663         ierr = PetscDualSpaceGetFunctional(Q, i, &f);CHKERRQ(ierr);
1664         ierr = PetscQuadratureGetData(f, NULL, &qNc, &Np, &qpoints, &qweights);CHKERRQ(ierr);
1665         if (qNc != Nc) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %D does not match coarse field %D", qNc, Nc);
1666         ierr = VecCreateSeq(PETSC_COMM_SELF, Np*dim, &pointVec);CHKERRQ(ierr);
1667         ierr = VecSetBlockSize(pointVec, dim);CHKERRQ(ierr);
1668         ierr = VecGetArray(pointVec, &pV);CHKERRQ(ierr);
1669         for (q = 0; q < Np; ++q) {
1670           /* Transform point to real space */
1671           CoordinatesRefToReal(dim, dim, v0, J, &qpoints[q*dim], x);
1672           for (d = 0; d < dim; ++d) pV[q*dim+d] = x[d];
1673         }
1674         ierr = VecRestoreArray(pointVec, &pV);CHKERRQ(ierr);
1675         /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
1676         /* OPT: Read this out from preallocation information */
1677         ierr = DMLocatePoints(dmc, pointVec, DM_POINTLOCATION_NEAREST, &coarseCellSF);CHKERRQ(ierr);
1678         /* Update preallocation info */
1679         ierr = PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells);CHKERRQ(ierr);
1680         if (numCoarseCells != Np) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not all closure points located");
1681         ierr = VecGetArray(pointVec, &pV);CHKERRQ(ierr);
1682         for (ccell = 0; ccell < numCoarseCells; ++ccell) {
1683           PetscReal pVReal[3];
1684 
1685           ierr = DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);CHKERRQ(ierr);
1686           /* Transform points from real space to coarse reference space */
1687           ierr = DMPlexComputeCellGeometryFEM(dmc, coarseCells[ccell].index, NULL, v0c, Jc, invJc, &detJc);CHKERRQ(ierr);
1688           for (d = 0; d < dim; ++d) pVReal[d] = PetscRealPart(pV[ccell*dim+d]);
1689           CoordinatesRealToRef(dim, dim, v0c, invJc, pVReal, x);
1690 
1691           if (id == PETSCFE_CLASSID) {
1692             PetscFE    fe = (PetscFE) obj;
1693             PetscReal *B;
1694 
1695             /* Evaluate coarse basis on contained point */
1696             ierr = PetscFEGetDimension(fe, &cpdim);CHKERRQ(ierr);
1697             ierr = PetscFEGetTabulation(fe, 1, x, &B, NULL, NULL);CHKERRQ(ierr);
1698             ierr = PetscMemzero(elemMat, cpdim * sizeof(PetscScalar));CHKERRQ(ierr);
1699             /* Get elemMat entries by multiplying by weight */
1700             for (j = 0; j < cpdim; ++j) {
1701               for (c = 0; c < Nc; ++c) elemMat[j] += B[j*Nc + c]*qweights[ccell*qNc + c];
1702             }
1703             ierr = PetscFERestoreTabulation(fe, 1, x, &B, NULL, NULL);CHKERRQ(ierr);CHKERRQ(ierr);
1704           } else {
1705             cpdim = 1;
1706             for (j = 0; j < cpdim; ++j) {
1707               for (c = 0; c < Nc; ++c) elemMat[j] += 1.0*qweights[ccell*qNc + c];
1708             }
1709           }
1710           /* Update interpolator */
1711           if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(cell, name, 1, numCIndices, elemMat);CHKERRQ(ierr);}
1712           if (numCIndices != cpdim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Number of element matrix columns %D != %D", numCIndices, cpdim);
1713           ierr = MatSetValues(In, 1, &findices[i], numCIndices, cindices, elemMat, INSERT_VALUES);CHKERRQ(ierr);
1714           ierr = DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, &numCIndices, &cindices, NULL);CHKERRQ(ierr);
1715         }
1716         ierr = VecRestoreArray(pointVec, &pV);CHKERRQ(ierr);
1717         ierr = PetscSFDestroy(&coarseCellSF);CHKERRQ(ierr);
1718         ierr = VecDestroy(&pointVec);CHKERRQ(ierr);
1719       }
1720       ierr = DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, &numFIndices, &findices, NULL);CHKERRQ(ierr);
1721     }
1722   }
1723   ierr = PetscFree3(v0,J,invJ);CHKERRQ(ierr);
1724   ierr = PetscFree3(v0c,Jc,invJc);CHKERRQ(ierr);
1725   ierr = PetscFree(elemMat);CHKERRQ(ierr);
1726   ierr = MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1727   ierr = MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1728   ierr = PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 /*@
1733   DMPlexComputeInjectorFEM - Compute a mapping from coarse unknowns to fine unknowns
1734 
1735   Input Parameters:
1736 + dmc  - The coarse mesh
1737 - dmf  - The fine mesh
1738 - user - The user context
1739 
1740   Output Parameter:
1741 . sc   - The mapping
1742 
1743   Level: developer
1744 
1745 .seealso: DMPlexComputeInterpolatorNested(), DMPlexComputeJacobianFEM()
1746 @*/
1747 PetscErrorCode DMPlexComputeInjectorFEM(DM dmc, DM dmf, VecScatter *sc, void *user)
1748 {
1749   PetscDS        prob;
1750   PetscFE       *feRef;
1751   PetscFV       *fvRef;
1752   Vec            fv, cv;
1753   IS             fis, cis;
1754   PetscSection   fsection, fglobalSection, csection, cglobalSection;
1755   PetscInt      *cmap, *cellCIndices, *cellFIndices, *cindices, *findices;
1756   PetscInt       cTotDim, fTotDim = 0, Nf, f, field, cStart, cEnd, cEndInterior, c, dim, d, startC, endC, offsetC, offsetF, m;
1757   PetscErrorCode ierr;
1758 
1759   PetscFunctionBegin;
1760   ierr = PetscLogEventBegin(DMPLEX_InjectorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1761   ierr = DMGetDimension(dmf, &dim);CHKERRQ(ierr);
1762   ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);
1763   ierr = DMGetDefaultGlobalSection(dmf, &fglobalSection);CHKERRQ(ierr);
1764   ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);
1765   ierr = DMGetDefaultGlobalSection(dmc, &cglobalSection);CHKERRQ(ierr);
1766   ierr = PetscSectionGetNumFields(fsection, &Nf);CHKERRQ(ierr);
1767   ierr = DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);CHKERRQ(ierr);
1768   ierr = DMPlexGetHybridBounds(dmc, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
1769   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
1770   ierr = DMGetDS(dmc, &prob);CHKERRQ(ierr);
1771   ierr = PetscCalloc2(Nf,&feRef,Nf,&fvRef);CHKERRQ(ierr);
1772   for (f = 0; f < Nf; ++f) {
1773     PetscObject  obj;
1774     PetscClassId id;
1775     PetscInt     fNb = 0, Nc = 0;
1776 
1777     ierr = PetscDSGetDiscretization(prob, f, &obj);CHKERRQ(ierr);
1778     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
1779     if (id == PETSCFE_CLASSID) {
1780       PetscFE fe = (PetscFE) obj;
1781 
1782       ierr = PetscFERefine(fe, &feRef[f]);CHKERRQ(ierr);
1783       ierr = PetscFEGetDimension(feRef[f], &fNb);CHKERRQ(ierr);
1784       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1785     } else if (id == PETSCFV_CLASSID) {
1786       PetscFV        fv = (PetscFV) obj;
1787       PetscDualSpace Q;
1788 
1789       ierr = PetscFVRefine(fv, &fvRef[f]);CHKERRQ(ierr);
1790       ierr = PetscFVGetDualSpace(fvRef[f], &Q);CHKERRQ(ierr);
1791       ierr = PetscDualSpaceGetDimension(Q, &fNb);CHKERRQ(ierr);
1792       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
1793     }
1794     fTotDim += fNb*Nc;
1795   }
1796   ierr = PetscDSGetTotalDimension(prob, &cTotDim);CHKERRQ(ierr);
1797   ierr = PetscMalloc1(cTotDim,&cmap);CHKERRQ(ierr);
1798   for (field = 0, offsetC = 0, offsetF = 0; field < Nf; ++field) {
1799     PetscFE        feC;
1800     PetscFV        fvC;
1801     PetscDualSpace QF, QC;
1802     PetscInt       NcF, NcC, fpdim, cpdim;
1803 
1804     if (feRef[field]) {
1805       ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &feC);CHKERRQ(ierr);
1806       ierr = PetscFEGetNumComponents(feC, &NcC);CHKERRQ(ierr);
1807       ierr = PetscFEGetNumComponents(feRef[field], &NcF);CHKERRQ(ierr);
1808       ierr = PetscFEGetDualSpace(feRef[field], &QF);CHKERRQ(ierr);
1809       ierr = PetscDualSpaceGetDimension(QF, &fpdim);CHKERRQ(ierr);
1810       ierr = PetscFEGetDualSpace(feC, &QC);CHKERRQ(ierr);
1811       ierr = PetscDualSpaceGetDimension(QC, &cpdim);CHKERRQ(ierr);
1812     } else {
1813       ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &fvC);CHKERRQ(ierr);
1814       ierr = PetscFVGetNumComponents(fvC, &NcC);CHKERRQ(ierr);
1815       ierr = PetscFVGetNumComponents(fvRef[field], &NcF);CHKERRQ(ierr);
1816       ierr = PetscFVGetDualSpace(fvRef[field], &QF);CHKERRQ(ierr);
1817       ierr = PetscDualSpaceGetDimension(QF, &fpdim);CHKERRQ(ierr);
1818       ierr = PetscFVGetDualSpace(fvC, &QC);CHKERRQ(ierr);
1819       ierr = PetscDualSpaceGetDimension(QC, &cpdim);CHKERRQ(ierr);
1820     }
1821     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);
1822     for (c = 0; c < cpdim; ++c) {
1823       PetscQuadrature  cfunc;
1824       const PetscReal *cqpoints;
1825       PetscInt         NpC;
1826       PetscBool        found = PETSC_FALSE;
1827 
1828       ierr = PetscDualSpaceGetFunctional(QC, c, &cfunc);CHKERRQ(ierr);
1829       ierr = PetscQuadratureGetData(cfunc, NULL, NULL, &NpC, &cqpoints, NULL);CHKERRQ(ierr);
1830       if (NpC != 1 && feRef[field]) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Do not know how to do injection for moments");
1831       for (f = 0; f < fpdim; ++f) {
1832         PetscQuadrature  ffunc;
1833         const PetscReal *fqpoints;
1834         PetscReal        sum = 0.0;
1835         PetscInt         NpF, comp;
1836 
1837         ierr = PetscDualSpaceGetFunctional(QF, f, &ffunc);CHKERRQ(ierr);
1838         ierr = PetscQuadratureGetData(ffunc, NULL, NULL, &NpF, &fqpoints, NULL);CHKERRQ(ierr);
1839         if (NpC != NpF) continue;
1840         for (d = 0; d < dim; ++d) sum += PetscAbsReal(cqpoints[d] - fqpoints[d]);
1841         if (sum > 1.0e-9) continue;
1842         for (comp = 0; comp < NcC; ++comp) {
1843           cmap[(offsetC+c)*NcC+comp] = (offsetF+f)*NcF+comp;
1844         }
1845         found = PETSC_TRUE;
1846         break;
1847       }
1848       if (!found) {
1849         /* TODO We really want the average here, but some asshole put VecScatter in the interface */
1850         if (fvRef[field]) {
1851           PetscInt comp;
1852           for (comp = 0; comp < NcC; ++comp) {
1853             cmap[(offsetC+c)*NcC+comp] = (offsetF+0)*NcF+comp;
1854           }
1855         } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not locate matching functional for injection");
1856       }
1857     }
1858     offsetC += cpdim*NcC;
1859     offsetF += fpdim*NcF;
1860   }
1861   for (f = 0; f < Nf; ++f) {ierr = PetscFEDestroy(&feRef[f]);CHKERRQ(ierr);ierr = PetscFVDestroy(&fvRef[f]);CHKERRQ(ierr);}
1862   ierr = PetscFree2(feRef,fvRef);CHKERRQ(ierr);
1863 
1864   ierr = DMGetGlobalVector(dmf, &fv);CHKERRQ(ierr);
1865   ierr = DMGetGlobalVector(dmc, &cv);CHKERRQ(ierr);
1866   ierr = VecGetOwnershipRange(cv, &startC, &endC);CHKERRQ(ierr);
1867   ierr = PetscSectionGetConstrainedStorageSize(cglobalSection, &m);CHKERRQ(ierr);
1868   ierr = PetscMalloc2(cTotDim,&cellCIndices,fTotDim,&cellFIndices);CHKERRQ(ierr);
1869   ierr = PetscMalloc1(m,&cindices);CHKERRQ(ierr);
1870   ierr = PetscMalloc1(m,&findices);CHKERRQ(ierr);
1871   for (d = 0; d < m; ++d) cindices[d] = findices[d] = -1;
1872   for (c = cStart; c < cEnd; ++c) {
1873     ierr = DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, c, cellCIndices, cellFIndices);CHKERRQ(ierr);
1874     for (d = 0; d < cTotDim; ++d) {
1875       if ((cellCIndices[d] < startC) || (cellCIndices[d] >= endC)) continue;
1876       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]]);
1877       cindices[cellCIndices[d]-startC] = cellCIndices[d];
1878       findices[cellCIndices[d]-startC] = cellFIndices[cmap[d]];
1879     }
1880   }
1881   ierr = PetscFree(cmap);CHKERRQ(ierr);
1882   ierr = PetscFree2(cellCIndices,cellFIndices);CHKERRQ(ierr);
1883 
1884   ierr = ISCreateGeneral(PETSC_COMM_SELF, m, cindices, PETSC_OWN_POINTER, &cis);CHKERRQ(ierr);
1885   ierr = ISCreateGeneral(PETSC_COMM_SELF, m, findices, PETSC_OWN_POINTER, &fis);CHKERRQ(ierr);
1886   ierr = VecScatterCreate(cv, cis, fv, fis, sc);CHKERRQ(ierr);
1887   ierr = ISDestroy(&cis);CHKERRQ(ierr);
1888   ierr = ISDestroy(&fis);CHKERRQ(ierr);
1889   ierr = DMRestoreGlobalVector(dmf, &fv);CHKERRQ(ierr);
1890   ierr = DMRestoreGlobalVector(dmc, &cv);CHKERRQ(ierr);
1891   ierr = PetscLogEventEnd(DMPLEX_InjectorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1892   PetscFunctionReturn(0);
1893 }
1894