xref: /petsc/src/dm/impls/plex/plexfem.c (revision f5476a2b443e0eedb22d31cb1b2d85b9b918f73f) 
1 #include <petsc-private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 
3 #include <petsc-private/petscfeimpl.h>
4 #include <petsc-private/petscfvimpl.h>
5 
6 #undef __FUNCT__
7 #define __FUNCT__ "DMPlexGetScale"
8 PetscErrorCode DMPlexGetScale(DM dm, PetscUnit unit, PetscReal *scale)
9 {
10   DM_Plex *mesh = (DM_Plex*) dm->data;
11 
12   PetscFunctionBegin;
13   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
14   PetscValidPointer(scale, 3);
15   *scale = mesh->scale[unit];
16   PetscFunctionReturn(0);
17 }
18 
19 #undef __FUNCT__
20 #define __FUNCT__ "DMPlexSetScale"
21 PetscErrorCode DMPlexSetScale(DM dm, PetscUnit unit, PetscReal scale)
22 {
23   DM_Plex *mesh = (DM_Plex*) dm->data;
24 
25   PetscFunctionBegin;
26   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
27   mesh->scale[unit] = scale;
28   PetscFunctionReturn(0);
29 }
30 
31 PETSC_STATIC_INLINE PetscInt epsilon(PetscInt i, PetscInt j, PetscInt k)
32 {
33   switch (i) {
34   case 0:
35     switch (j) {
36     case 0: return 0;
37     case 1:
38       switch (k) {
39       case 0: return 0;
40       case 1: return 0;
41       case 2: return 1;
42       }
43     case 2:
44       switch (k) {
45       case 0: return 0;
46       case 1: return -1;
47       case 2: return 0;
48       }
49     }
50   case 1:
51     switch (j) {
52     case 0:
53       switch (k) {
54       case 0: return 0;
55       case 1: return 0;
56       case 2: return -1;
57       }
58     case 1: return 0;
59     case 2:
60       switch (k) {
61       case 0: return 1;
62       case 1: return 0;
63       case 2: return 0;
64       }
65     }
66   case 2:
67     switch (j) {
68     case 0:
69       switch (k) {
70       case 0: return 0;
71       case 1: return 1;
72       case 2: return 0;
73       }
74     case 1:
75       switch (k) {
76       case 0: return -1;
77       case 1: return 0;
78       case 2: return 0;
79       }
80     case 2: return 0;
81     }
82   }
83   return 0;
84 }
85 
86 #undef __FUNCT__
87 #define __FUNCT__ "DMPlexCreateRigidBody"
88 /*@C
89   DMPlexCreateRigidBody - create rigid body modes from coordinates
90 
91   Collective on DM
92 
93   Input Arguments:
94 + dm - the DM
95 . section - the local section associated with the rigid field, or NULL for the default section
96 - globalSection - the global section associated with the rigid field, or NULL for the default section
97 
98   Output Argument:
99 . sp - the null space
100 
101   Note: This is necessary to take account of Dirichlet conditions on the displacements
102 
103   Level: advanced
104 
105 .seealso: MatNullSpaceCreate()
106 @*/
107 PetscErrorCode DMPlexCreateRigidBody(DM dm, PetscSection section, PetscSection globalSection, MatNullSpace *sp)
108 {
109   MPI_Comm       comm;
110   Vec            coordinates, localMode, mode[6];
111   PetscSection   coordSection;
112   PetscScalar   *coords;
113   PetscInt       dim, vStart, vEnd, v, n, m, d, i, j;
114   PetscErrorCode ierr;
115 
116   PetscFunctionBegin;
117   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
118   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
119   if (dim == 1) {
120     ierr = MatNullSpaceCreate(comm, PETSC_TRUE, 0, NULL, sp);CHKERRQ(ierr);
121     PetscFunctionReturn(0);
122   }
123   if (!section)       {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
124   if (!globalSection) {ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);}
125   ierr = PetscSectionGetConstrainedStorageSize(globalSection, &n);CHKERRQ(ierr);
126   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
127   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
128   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
129   m    = (dim*(dim+1))/2;
130   ierr = VecCreate(comm, &mode[0]);CHKERRQ(ierr);
131   ierr = VecSetSizes(mode[0], n, PETSC_DETERMINE);CHKERRQ(ierr);
132   ierr = VecSetUp(mode[0]);CHKERRQ(ierr);
133   for (i = 1; i < m; ++i) {ierr = VecDuplicate(mode[0], &mode[i]);CHKERRQ(ierr);}
134   /* Assume P1 */
135   ierr = DMGetLocalVector(dm, &localMode);CHKERRQ(ierr);
136   for (d = 0; d < dim; ++d) {
137     PetscScalar values[3] = {0.0, 0.0, 0.0};
138 
139     values[d] = 1.0;
140     ierr      = VecSet(localMode, 0.0);CHKERRQ(ierr);
141     for (v = vStart; v < vEnd; ++v) {
142       ierr = DMPlexVecSetClosure(dm, section, localMode, v, values, INSERT_VALUES);CHKERRQ(ierr);
143     }
144     ierr = DMLocalToGlobalBegin(dm, localMode, INSERT_VALUES, mode[d]);CHKERRQ(ierr);
145     ierr = DMLocalToGlobalEnd(dm, localMode, INSERT_VALUES, mode[d]);CHKERRQ(ierr);
146   }
147   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
148   for (d = dim; d < dim*(dim+1)/2; ++d) {
149     PetscInt i, j, k = dim > 2 ? d - dim : d;
150 
151     ierr = VecSet(localMode, 0.0);CHKERRQ(ierr);
152     for (v = vStart; v < vEnd; ++v) {
153       PetscScalar values[3] = {0.0, 0.0, 0.0};
154       PetscInt    off;
155 
156       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
157       for (i = 0; i < dim; ++i) {
158         for (j = 0; j < dim; ++j) {
159           values[j] += epsilon(i, j, k)*PetscRealPart(coords[off+i]);
160         }
161       }
162       ierr = DMPlexVecSetClosure(dm, section, localMode, v, values, INSERT_VALUES);CHKERRQ(ierr);
163     }
164     ierr = DMLocalToGlobalBegin(dm, localMode, INSERT_VALUES, mode[d]);CHKERRQ(ierr);
165     ierr = DMLocalToGlobalEnd(dm, localMode, INSERT_VALUES, mode[d]);CHKERRQ(ierr);
166   }
167   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
168   ierr = DMRestoreLocalVector(dm, &localMode);CHKERRQ(ierr);
169   for (i = 0; i < dim; ++i) {ierr = VecNormalize(mode[i], NULL);CHKERRQ(ierr);}
170   /* Orthonormalize system */
171   for (i = dim; i < m; ++i) {
172     PetscScalar dots[6];
173 
174     ierr = VecMDot(mode[i], i, mode, dots);CHKERRQ(ierr);
175     for (j = 0; j < i; ++j) dots[j] *= -1.0;
176     ierr = VecMAXPY(mode[i], i, dots, mode);CHKERRQ(ierr);
177     ierr = VecNormalize(mode[i], NULL);CHKERRQ(ierr);
178   }
179   ierr = MatNullSpaceCreate(comm, PETSC_FALSE, m, mode, sp);CHKERRQ(ierr);
180   for (i = 0; i< m; ++i) {ierr = VecDestroy(&mode[i]);CHKERRQ(ierr);}
181   PetscFunctionReturn(0);
182 }
183 
184 #undef __FUNCT__
185 #define __FUNCT__ "DMPlexProjectFunctionLabelLocal"
186 PetscErrorCode DMPlexProjectFunctionLabelLocal(DM dm, DMLabel label, PetscInt numIds, const PetscInt ids[], void (**funcs)(const PetscReal [], PetscScalar *, void *), void **ctxs, InsertMode mode, Vec localX)
187 {
188   PetscFE         fe;
189   PetscDualSpace *sp;
190   PetscSection    section;
191   PetscScalar    *values;
192   PetscBool      *fieldActive;
193   PetscInt        numFields, numComp, dim, spDim, totDim = 0, numValues, cStart, cEnd, f, d, v, i, comp;
194   PetscErrorCode  ierr;
195 
196   PetscFunctionBegin;
197   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
198   if (cEnd <= cStart) PetscFunctionReturn(0);
199   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
200   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
201   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
202   ierr = PetscMalloc1(numFields,&sp);CHKERRQ(ierr);
203   for (f = 0; f < numFields; ++f) {
204     ierr = DMGetField(dm, f, (PetscObject *) &fe);CHKERRQ(ierr);
205     ierr = PetscFEGetDualSpace(fe, &sp[f]);CHKERRQ(ierr);
206     ierr = PetscFEGetNumComponents(fe, &numComp);CHKERRQ(ierr);
207     ierr = PetscDualSpaceGetDimension(sp[f], &spDim);CHKERRQ(ierr);
208     totDim += spDim*numComp;
209   }
210   ierr = DMPlexVecGetClosure(dm, section, localX, cStart, &numValues, NULL);CHKERRQ(ierr);
211   if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section cell closure size %d != dual space dimension %d", numValues, totDim);
212   ierr = DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
213   ierr = DMGetWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);CHKERRQ(ierr);
214   for (f = 0; f < numFields; ++f) fieldActive[f] = funcs[f] ? PETSC_TRUE : PETSC_FALSE;
215   for (i = 0; i < numIds; ++i) {
216     IS              pointIS;
217     const PetscInt *points;
218     PetscInt        n, p;
219 
220     ierr = DMLabelGetStratumIS(label, ids[i], &pointIS);CHKERRQ(ierr);
221     ierr = ISGetLocalSize(pointIS, &n);CHKERRQ(ierr);
222     ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
223     for (p = 0; p < n; ++p) {
224       const PetscInt  point = points[p];
225       PetscFECellGeom geom;
226 
227       if ((point < cStart) || (point >= cEnd)) continue;
228       ierr = DMPlexComputeCellGeometryFEM(dm, point, NULL, geom.v0, geom.J, NULL, &geom.detJ);CHKERRQ(ierr);
229       for (f = 0, v = 0; f < numFields; ++f) {
230         void * const ctx = ctxs ? ctxs[f] : NULL;
231 
232         ierr = DMGetField(dm, f, (PetscObject *) &fe);CHKERRQ(ierr);
233         ierr = PetscFEGetNumComponents(fe, &numComp);CHKERRQ(ierr);
234         ierr = PetscDualSpaceGetDimension(sp[f], &spDim);CHKERRQ(ierr);
235         for (d = 0; d < spDim; ++d) {
236           if (funcs[f]) {
237             ierr = PetscDualSpaceApply(sp[f], d, &geom, numComp, funcs[f], ctx, &values[v]);CHKERRQ(ierr);
238           } else {
239             for (comp = 0; comp < numComp; ++comp) values[v+comp] = 0.0;
240           }
241           v += numComp;
242         }
243       }
244       ierr = DMPlexVecSetFieldClosure_Internal(dm, section, localX, fieldActive, point, values, mode);CHKERRQ(ierr);
245     }
246     ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
247     ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
248   }
249   ierr = DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
250   ierr = DMRestoreWorkArray(dm, numFields, PETSC_BOOL, &fieldActive);CHKERRQ(ierr);
251   ierr = PetscFree(sp);CHKERRQ(ierr);
252   PetscFunctionReturn(0);
253 }
254 
255 #undef __FUNCT__
256 #define __FUNCT__ "DMPlexProjectFunctionLocal"
257 PetscErrorCode DMPlexProjectFunctionLocal(DM dm, void (**funcs)(const PetscReal [], PetscScalar *, void *), void **ctxs, InsertMode mode, Vec localX)
258 {
259   PetscDualSpace *sp;
260   PetscInt       *numComp;
261   PetscSection    section;
262   PetscScalar    *values;
263   PetscInt        numFields, dim, spDim, totDim = 0, numValues, cStart, cEnd, c, f, d, v, comp;
264   PetscErrorCode  ierr;
265 
266   PetscFunctionBegin;
267   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
268   if (cEnd <= cStart) PetscFunctionReturn(0);
269   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
270   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
271   ierr = PetscMalloc2(numFields, &sp, numFields, &numComp);CHKERRQ(ierr);
272   for (f = 0; f < numFields; ++f) {
273     PetscObject  obj;
274     PetscClassId id;
275 
276     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
277     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
278     if (id == PETSCFE_CLASSID) {
279       PetscFE fe = (PetscFE) obj;
280 
281       ierr = PetscFEGetNumComponents(fe, &numComp[f]);CHKERRQ(ierr);
282       ierr = PetscFEGetDualSpace(fe, &sp[f]);CHKERRQ(ierr);
283       ierr = PetscObjectReference((PetscObject) sp[f]);CHKERRQ(ierr);
284     } else if (id == PETSCFV_CLASSID) {
285       PetscFV         fv = (PetscFV) obj;
286       PetscQuadrature q;
287 
288       ierr = PetscFVGetNumComponents(fv, &numComp[f]);CHKERRQ(ierr);
289       ierr = PetscFVGetQuadrature(fv, &q);CHKERRQ(ierr);
290       ierr = PetscDualSpaceCreate(PetscObjectComm((PetscObject) fv), &sp[f]);CHKERRQ(ierr);
291       ierr = PetscDualSpaceSetDM(sp[f], dm);CHKERRQ(ierr);
292       ierr = PetscDualSpaceSetType(sp[f], PETSCDUALSPACESIMPLE);CHKERRQ(ierr);
293       ierr = PetscDualSpaceSimpleSetDimension(sp[f], 1);CHKERRQ(ierr);
294       ierr = PetscDualSpaceSimpleSetFunctional(sp[f], 0, q);CHKERRQ(ierr);
295     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
296     ierr = PetscDualSpaceGetDimension(sp[f], &spDim);CHKERRQ(ierr);
297     totDim += spDim*numComp[f];
298   }
299   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
300   ierr = DMPlexVecGetClosure(dm, section, localX, cStart, &numValues, NULL);CHKERRQ(ierr);
301   if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section cell closure size %d != dual space dimension %d", numValues, totDim);
302   ierr = DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
303   for (c = cStart; c < cEnd; ++c) {
304     PetscFECellGeom geom;
305 
306     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, geom.v0, geom.J, NULL, &geom.detJ);CHKERRQ(ierr);
307     for (f = 0, v = 0; f < numFields; ++f) {
308       void *const ctx = ctxs ? ctxs[f] : NULL;
309 
310       ierr = PetscDualSpaceGetDimension(sp[f], &spDim);CHKERRQ(ierr);
311       for (d = 0; d < spDim; ++d) {
312         if (funcs[f]) {
313           ierr = PetscDualSpaceApply(sp[f], d, &geom, numComp[f], funcs[f], ctx, &values[v]);CHKERRQ(ierr);
314         } else {
315           for (comp = 0; comp < numComp[f]; ++comp) values[v+comp] = 0.0;
316         }
317         v += numComp[f];
318       }
319     }
320     ierr = DMPlexVecSetClosure(dm, section, localX, c, values, mode);CHKERRQ(ierr);
321   }
322   ierr = DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
323   for (f = 0; f < numFields; ++f) {ierr = PetscDualSpaceDestroy(&sp[f]);CHKERRQ(ierr);}
324   ierr = PetscFree2(sp, numComp);CHKERRQ(ierr);
325   PetscFunctionReturn(0);
326 }
327 
328 #undef __FUNCT__
329 #define __FUNCT__ "DMPlexProjectFieldLocal"
330 PetscErrorCode DMPlexProjectFieldLocal(DM dm, Vec localU, void (**funcs)(const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscReal [], PetscScalar []), InsertMode mode, Vec localX)
331 {
332   DM                dmAux;
333   PetscDS           prob, probAux;
334   Vec               A;
335   PetscSection      section, sectionAux;
336   PetscScalar      *values, *u, *u_x, *a, *a_x;
337   PetscReal        *x, *v0, *J, *invJ, detJ, **basisField, **basisFieldDer, **basisFieldAux, **basisFieldDerAux;
338   PetscInt          Nf, dim, spDim, totDim, numValues, cStart, cEnd, c, f, d, v, comp;
339   PetscErrorCode    ierr;
340 
341   PetscFunctionBegin;
342   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
343   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
344   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
345   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
346   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
347   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
348   ierr = PetscDSGetTabulation(prob, &basisField, &basisFieldDer);CHKERRQ(ierr);
349   ierr = PetscDSGetEvaluationArrays(prob, &u, NULL, &u_x);CHKERRQ(ierr);
350   ierr = PetscDSGetRefCoordArrays(prob, &x, NULL);CHKERRQ(ierr);
351   ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr);
352   ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr);
353   if (dmAux) {
354     ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr);
355     ierr = DMGetDefaultSection(dmAux, &sectionAux);CHKERRQ(ierr);
356     ierr = PetscDSGetTabulation(prob, &basisFieldAux, &basisFieldDerAux);CHKERRQ(ierr);
357     ierr = PetscDSGetEvaluationArrays(probAux, &a, NULL, &a_x);CHKERRQ(ierr);
358   }
359   ierr = DMPlexInsertBoundaryValues(dm, localU, 0.0, NULL, NULL, NULL);CHKERRQ(ierr);
360   ierr = DMPlexVecGetClosure(dm, section, localX, cStart, &numValues, NULL);CHKERRQ(ierr);
361   if (numValues != totDim) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "The section cell closure size %d != dual space dimension %d", numValues, totDim);
362   ierr = DMGetWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
363   ierr = PetscMalloc3(dim,&v0,dim*dim,&J,dim*dim,&invJ);CHKERRQ(ierr);
364   for (c = cStart; c < cEnd; ++c) {
365     PetscScalar *coefficients = NULL, *coefficientsAux = NULL;
366 
367     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
368     ierr = DMPlexVecGetClosure(dm, section, localU, c, NULL, &coefficients);CHKERRQ(ierr);
369     if (dmAux) {ierr = DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);CHKERRQ(ierr);}
370     for (f = 0, v = 0; f < Nf; ++f) {
371       PetscFE        fe;
372       PetscDualSpace sp;
373       PetscInt       Ncf;
374 
375       ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr);
376       ierr = PetscFEGetDualSpace(fe, &sp);CHKERRQ(ierr);
377       ierr = PetscFEGetNumComponents(fe, &Ncf);CHKERRQ(ierr);
378       ierr = PetscDualSpaceGetDimension(sp, &spDim);CHKERRQ(ierr);
379       for (d = 0; d < spDim; ++d) {
380         PetscQuadrature  quad;
381         const PetscReal *points, *weights;
382         PetscInt         numPoints, q;
383 
384         if (funcs[f]) {
385           ierr = PetscDualSpaceGetFunctional(sp, d, &quad);CHKERRQ(ierr);
386           ierr = PetscQuadratureGetData(quad, NULL, &numPoints, &points, &weights);CHKERRQ(ierr);
387           ierr = PetscFEGetTabulation(fe, numPoints, points, &basisField[f], &basisFieldDer[f], NULL);CHKERRQ(ierr);
388           for (q = 0; q < numPoints; ++q) {
389             CoordinatesRefToReal(dim, dim, v0, J, &points[q*dim], x);
390             ierr = EvaluateFieldJets(prob,    PETSC_FALSE, q, invJ, coefficients,    NULL, u, u_x, NULL);CHKERRQ(ierr);
391             ierr = EvaluateFieldJets(probAux, PETSC_FALSE, q, invJ, coefficientsAux, NULL, a, a_x, NULL);CHKERRQ(ierr);
392             (*funcs[f])(u, NULL, u_x, a, NULL, a_x, x, &values[v]);
393           }
394           ierr = PetscFERestoreTabulation(fe, numPoints, points, &basisField[f], &basisFieldDer[f], NULL);CHKERRQ(ierr);
395         } else {
396           for (comp = 0; comp < Ncf; ++comp) values[v+comp] = 0.0;
397         }
398         v += Ncf;
399       }
400     }
401     ierr = DMPlexVecRestoreClosure(dm, section, localU, c, NULL, &coefficients);CHKERRQ(ierr);
402     if (dmAux) {ierr = DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &coefficientsAux);CHKERRQ(ierr);}
403     ierr = DMPlexVecSetClosure(dm, section, localX, c, values, mode);CHKERRQ(ierr);
404   }
405   ierr = DMRestoreWorkArray(dm, numValues, PETSC_SCALAR, &values);CHKERRQ(ierr);
406   ierr = PetscFree3(v0,J,invJ);CHKERRQ(ierr);
407   PetscFunctionReturn(0);
408 }
409 
410 #undef __FUNCT__
411 #define __FUNCT__ "DMPlexInsertBoundaryValues_FEM_Internal"
412 static PetscErrorCode DMPlexInsertBoundaryValues_FEM_Internal(DM dm, PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], void (*func)(const PetscReal[], PetscScalar *, void *), void *ctx, Vec locX)
413 {
414   void        (**funcs)(const PetscReal x[], PetscScalar *u, void *ctx);
415   void         **ctxs;
416   PetscInt       numFields;
417   PetscErrorCode ierr;
418 
419   PetscFunctionBegin;
420   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
421   ierr = PetscCalloc2(numFields,&funcs,numFields,&ctxs);CHKERRQ(ierr);
422   funcs[field] = func;
423   ctxs[field]  = ctx;
424   ierr = DMPlexProjectFunctionLabelLocal(dm, label, numids, ids, funcs, ctxs, INSERT_BC_VALUES, locX);CHKERRQ(ierr);
425   ierr = PetscFree2(funcs,ctxs);CHKERRQ(ierr);
426   PetscFunctionReturn(0);
427 }
428 
429 #undef __FUNCT__
430 #define __FUNCT__ "DMPlexInsertBoundaryValues_FVM_Internal"
431 static PetscErrorCode DMPlexInsertBoundaryValues_FVM_Internal(DM dm, PetscReal time, Vec faceGeometry, Vec cellGeometry, Vec Grad,
432                                                               PetscInt field, DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*), void *ctx, Vec locX)
433 {
434   PetscFV            fv;
435   DM                 dmFace, dmCell, dmGrad;
436   const PetscScalar *facegeom, *cellgeom, *grad;
437   PetscScalar       *x, *fx;
438   PetscInt           dim, fStart, fEnd, pdim, i;
439   PetscErrorCode     ierr;
440 
441   PetscFunctionBegin;
442   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
443   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
444   ierr = DMGetField(dm, field, (PetscObject *) &fv);CHKERRQ(ierr);
445   ierr = VecGetDM(faceGeometry, &dmFace);CHKERRQ(ierr);
446   ierr = VecGetArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr);
447   ierr = VecGetDM(cellGeometry, &dmCell);CHKERRQ(ierr);
448   ierr = VecGetArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr);
449   if (Grad) {
450     ierr = VecGetDM(Grad, &dmGrad);CHKERRQ(ierr);
451     ierr = VecGetArrayRead(Grad, &grad);CHKERRQ(ierr);
452     ierr = PetscFVGetNumComponents(fv, &pdim);CHKERRQ(ierr);
453     ierr = DMGetWorkArray(dm, pdim, PETSC_SCALAR, &fx);CHKERRQ(ierr);
454   }
455   ierr = VecGetArray(locX, &x);CHKERRQ(ierr);
456   for (i = 0; i < numids; ++i) {
457     IS              faceIS;
458     const PetscInt *faces;
459     PetscInt        numFaces, f;
460 
461     ierr = DMLabelGetStratumIS(label, ids[i], &faceIS);CHKERRQ(ierr);
462     if (!faceIS) continue; /* No points with that id on this process */
463     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
464     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
465     for (f = 0; f < numFaces; ++f) {
466       const PetscInt         face = faces[f], *cells;
467       const PetscFVFaceGeom *fg;
468 
469       if ((face < fStart) || (face >= fEnd)) continue; /* Refinement adds non-faces to labels */
470       ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr);
471       ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr);
472       if (Grad) {
473         const PetscFVCellGeom *cg;
474         const PetscScalar     *cx, *cgrad;
475         PetscScalar           *xG;
476         PetscReal              dx[3];
477         PetscInt               d;
478 
479         ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cg);CHKERRQ(ierr);
480         ierr = DMPlexPointLocalRead(dm, cells[0], x, &cx);CHKERRQ(ierr);
481         ierr = DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad);CHKERRQ(ierr);
482         ierr = DMPlexPointLocalRef(dm, cells[1], x, &xG);CHKERRQ(ierr);
483         DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, fg->centroid, dx);
484         for (d = 0; d < pdim; ++d) fx[d] = cx[d] + DMPlex_DotD_Internal(dim, &cgrad[d*dim], dx);
485         ierr = (*func)(time, fg->centroid, fg->normal, fx, xG, ctx);CHKERRQ(ierr);
486       } else {
487         const PetscScalar *xI;
488         PetscScalar       *xG;
489 
490         ierr = DMPlexPointLocalRead(dm, cells[0], x, &xI);CHKERRQ(ierr);
491         ierr = DMPlexPointLocalRef(dm, cells[1], x, &xG);CHKERRQ(ierr);
492         ierr = (*func)(time, fg->centroid, fg->normal, xI, xG, ctx);CHKERRQ(ierr);
493       }
494     }
495     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
496     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
497   }
498   ierr = VecRestoreArray(locX, &x);CHKERRQ(ierr);
499   if (Grad) {
500     ierr = DMRestoreWorkArray(dm, pdim, PETSC_SCALAR, &fx);CHKERRQ(ierr);
501     ierr = VecRestoreArrayRead(Grad, &grad);CHKERRQ(ierr);
502   }
503   ierr = VecRestoreArrayRead(cellGeometry, &cellgeom);CHKERRQ(ierr);
504   ierr = VecRestoreArrayRead(faceGeometry, &facegeom);CHKERRQ(ierr);
505   PetscFunctionReturn(0);
506 }
507 
508 #undef __FUNCT__
509 #define __FUNCT__ "DMPlexInsertBoundaryValues"
510 PetscErrorCode DMPlexInsertBoundaryValues(DM dm, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
511 {
512   PetscInt       numBd, b;
513   PetscErrorCode ierr;
514 
515   PetscFunctionBegin;
516   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
517   PetscValidHeaderSpecific(locX, VEC_CLASSID, 2);
518   if (faceGeomFVM) {PetscValidHeaderSpecific(faceGeomFVM, VEC_CLASSID, 4);}
519   if (cellGeomFVM) {PetscValidHeaderSpecific(cellGeomFVM, VEC_CLASSID, 5);}
520   if (gradFVM)     {PetscValidHeaderSpecific(gradFVM, VEC_CLASSID, 6);}
521   ierr = DMPlexGetNumBoundary(dm, &numBd);CHKERRQ(ierr);
522   for (b = 0; b < numBd; ++b) {
523     PetscBool       isEssential;
524     const char     *labelname;
525     DMLabel         label;
526     PetscInt        field;
527     PetscObject     obj;
528     PetscClassId    id;
529     void          (*func)();
530     PetscInt        numids;
531     const PetscInt *ids;
532     void           *ctx;
533 
534     ierr = DMPlexGetBoundary(dm, b, &isEssential, NULL, &labelname, &field, &func, &numids, &ids, &ctx);CHKERRQ(ierr);
535     if (!isEssential) continue;
536     ierr = DMPlexGetLabel(dm, labelname, &label);CHKERRQ(ierr);
537     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
538     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
539     if (id == PETSCFE_CLASSID) {
540       ierr = DMPlexInsertBoundaryValues_FEM_Internal(dm, field, label, numids, ids, (void (*)(const PetscReal[], PetscScalar *, void *)) func, ctx, locX);CHKERRQ(ierr);
541     } else if (id == PETSCFV_CLASSID) {
542       ierr = DMPlexInsertBoundaryValues_FVM_Internal(dm, time, faceGeomFVM, cellGeomFVM, gradFVM,
543                                                      field, label, numids, ids, (PetscErrorCode (*)(PetscReal,const PetscReal*,const PetscReal*,const PetscScalar*,PetscScalar*,void*)) func, ctx, locX);CHKERRQ(ierr);
544     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
545   }
546   PetscFunctionReturn(0);
547 }
548 
549 #undef __FUNCT__
550 #define __FUNCT__ "DMPlexComputeL2Diff"
551 /*@C
552   DMPlexComputeL2Diff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h.
553 
554   Input Parameters:
555 + dm    - The DM
556 . funcs - The functions to evaluate for each field component
557 . ctxs  - Optional array of contexts to pass to each function, or NULL.
558 - X     - The coefficient vector u_h
559 
560   Output Parameter:
561 . diff - The diff ||u - u_h||_2
562 
563   Level: developer
564 
565 .seealso: DMPlexProjectFunction(), DMPlexComputeL2FieldDiff(), DMPlexComputeL2GradientDiff()
566 @*/
567 PetscErrorCode DMPlexComputeL2Diff(DM dm, void (**funcs)(const PetscReal [], PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
568 {
569   const PetscInt   debug = 0;
570   PetscSection     section;
571   PetscQuadrature  quad;
572   Vec              localX;
573   PetscScalar     *funcVal, *interpolant;
574   PetscReal       *coords, *v0, *J, *invJ, detJ;
575   PetscReal        localDiff = 0.0;
576   const PetscReal *quadPoints, *quadWeights;
577   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, c, field, fieldOffset;
578   PetscErrorCode   ierr;
579 
580   PetscFunctionBegin;
581   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
582   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
583   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
584   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
585   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
586   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
587   for (field = 0; field < numFields; ++field) {
588     PetscObject  obj;
589     PetscClassId id;
590     PetscInt     Nc;
591 
592     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
593     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
594     if (id == PETSCFE_CLASSID) {
595       PetscFE fe = (PetscFE) obj;
596 
597       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
598       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
599     } else if (id == PETSCFV_CLASSID) {
600       PetscFV fv = (PetscFV) obj;
601 
602       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
603       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
604     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
605     numComponents += Nc;
606   }
607   ierr = PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);CHKERRQ(ierr);
608   ierr = DMPlexProjectFunctionLocal(dm, funcs, ctxs, INSERT_BC_VALUES, localX);CHKERRQ(ierr);
609   ierr = PetscMalloc6(numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);CHKERRQ(ierr);
610   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
611   for (c = cStart; c < cEnd; ++c) {
612     PetscScalar *x = NULL;
613     PetscReal    elemDiff = 0.0;
614 
615     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
616     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
617     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
618 
619     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
620       PetscObject  obj;
621       PetscClassId id;
622       void * const ctx = ctxs ? ctxs[field] : NULL;
623       PetscInt     Nb, Nc, q, fc;
624 
625       ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
626       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
627       if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
628       else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
629       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
630       if (debug) {
631         char title[1024];
632         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
633         ierr = DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);CHKERRQ(ierr);
634       }
635       for (q = 0; q < numQuadPoints; ++q) {
636         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
637         (*funcs[field])(coords, funcVal, ctx);
638         if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
639         else if (id == PETSCFV_CLASSID) {ierr = PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
640         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
641         for (fc = 0; fc < Nc; ++fc) {
642           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);CHKERRQ(ierr);}
643           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
644         }
645       }
646       fieldOffset += Nb*Nc;
647     }
648     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
649     if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);CHKERRQ(ierr);}
650     localDiff += elemDiff;
651   }
652   ierr  = PetscFree6(funcVal,interpolant,coords,v0,J,invJ);CHKERRQ(ierr);
653   ierr  = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
654   ierr  = MPI_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPI_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
655   *diff = PetscSqrtReal(*diff);
656   PetscFunctionReturn(0);
657 }
658 
659 #undef __FUNCT__
660 #define __FUNCT__ "DMPlexComputeL2GradientDiff"
661 /*@C
662   DMPlexComputeL2GradientDiff - This function computes the L_2 difference between the gradient of a function u and an FEM interpolant solution grad u_h.
663 
664   Input Parameters:
665 + dm    - The DM
666 . funcs - The gradient functions to evaluate for each field component
667 . ctxs  - Optional array of contexts to pass to each function, or NULL.
668 . X     - The coefficient vector u_h
669 - n     - The vector to project along
670 
671   Output Parameter:
672 . diff - The diff ||(grad u - grad u_h) . n||_2
673 
674   Level: developer
675 
676 .seealso: DMPlexProjectFunction(), DMPlexComputeL2Diff()
677 @*/
678 PetscErrorCode DMPlexComputeL2GradientDiff(DM dm, void (**funcs)(const PetscReal [], const PetscReal [], PetscScalar *, void *), void **ctxs, Vec X, const PetscReal n[], PetscReal *diff)
679 {
680   const PetscInt  debug = 0;
681   PetscSection    section;
682   PetscQuadrature quad;
683   Vec             localX;
684   PetscScalar    *funcVal, *interpolantVec;
685   PetscReal      *coords, *realSpaceDer, *v0, *J, *invJ, detJ;
686   PetscReal       localDiff = 0.0;
687   PetscInt        dim, numFields, numComponents = 0, cStart, cEnd, c, field, fieldOffset, comp;
688   PetscErrorCode  ierr;
689 
690   PetscFunctionBegin;
691   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
692   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
693   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
694   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
695   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
696   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
697   for (field = 0; field < numFields; ++field) {
698     PetscFE  fe;
699     PetscInt Nc;
700 
701     ierr = DMGetField(dm, field, (PetscObject *) &fe);CHKERRQ(ierr);
702     ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
703     ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
704     numComponents += Nc;
705   }
706   /* ierr = DMPlexProjectFunctionLocal(dm, fe, funcs, INSERT_BC_VALUES, localX);CHKERRQ(ierr); */
707   ierr = PetscMalloc7(numComponents,&funcVal,dim,&coords,dim,&realSpaceDer,dim,&v0,dim*dim,&J,dim*dim,&invJ,dim,&interpolantVec);CHKERRQ(ierr);
708   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
709   for (c = cStart; c < cEnd; ++c) {
710     PetscScalar *x = NULL;
711     PetscReal    elemDiff = 0.0;
712 
713     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
714     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
715     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
716 
717     for (field = 0, comp = 0, fieldOffset = 0; field < numFields; ++field) {
718       PetscFE          fe;
719       void * const     ctx = ctxs ? ctxs[field] : NULL;
720       const PetscReal *quadPoints, *quadWeights;
721       PetscReal       *basisDer;
722       PetscInt         numQuadPoints, Nb, Ncomp, q, d, e, fc, f, g;
723 
724       ierr = DMGetField(dm, field, (PetscObject *) &fe);CHKERRQ(ierr);
725       ierr = PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);CHKERRQ(ierr);
726       ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr);
727       ierr = PetscFEGetNumComponents(fe, &Ncomp);CHKERRQ(ierr);
728       ierr = PetscFEGetDefaultTabulation(fe, NULL, &basisDer, NULL);CHKERRQ(ierr);
729       if (debug) {
730         char title[1024];
731         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
732         ierr = DMPrintCellVector(c, title, Nb*Ncomp, &x[fieldOffset]);CHKERRQ(ierr);
733       }
734       for (q = 0; q < numQuadPoints; ++q) {
735         for (d = 0; d < dim; d++) {
736           coords[d] = v0[d];
737           for (e = 0; e < dim; e++) {
738             coords[d] += J[d*dim+e]*(quadPoints[q*dim+e] + 1.0);
739           }
740         }
741         (*funcs[field])(coords, n, funcVal, ctx);
742         for (fc = 0; fc < Ncomp; ++fc) {
743           PetscScalar interpolant = 0.0;
744 
745           for (d = 0; d < dim; ++d) interpolantVec[d] = 0.0;
746           for (f = 0; f < Nb; ++f) {
747             const PetscInt fidx = f*Ncomp+fc;
748 
749             for (d = 0; d < dim; ++d) {
750               realSpaceDer[d] = 0.0;
751               for (g = 0; g < dim; ++g) {
752                 realSpaceDer[d] += invJ[g*dim+d]*basisDer[(q*Nb*Ncomp+fidx)*dim+g];
753               }
754               interpolantVec[d] += x[fieldOffset+fidx]*realSpaceDer[d];
755             }
756           }
757           for (d = 0; d < dim; ++d) interpolant += interpolantVec[d]*n[d];
758           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d fieldDer %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ);CHKERRQ(ierr);}
759           elemDiff += PetscSqr(PetscRealPart(interpolant - funcVal[fc]))*quadWeights[q]*detJ;
760         }
761       }
762       comp        += Ncomp;
763       fieldOffset += Nb*Ncomp;
764     }
765     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
766     if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "  elem %d diff %g\n", c, elemDiff);CHKERRQ(ierr);}
767     localDiff += elemDiff;
768   }
769   ierr  = PetscFree7(funcVal,coords,realSpaceDer,v0,J,invJ,interpolantVec);CHKERRQ(ierr);
770   ierr  = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
771   ierr  = MPI_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPI_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
772   *diff = PetscSqrtReal(*diff);
773   PetscFunctionReturn(0);
774 }
775 
776 #undef __FUNCT__
777 #define __FUNCT__ "DMPlexComputeL2FieldDiff"
778 /*@C
779   DMPlexComputeL2FieldDiff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h, separated into field components.
780 
781   Input Parameters:
782 + dm    - The DM
783 . funcs - The functions to evaluate for each field component
784 . ctxs  - Optional array of contexts to pass to each function, or NULL.
785 - X     - The coefficient vector u_h
786 
787   Output Parameter:
788 . diff - The array of differences, ||u^f - u^f_h||_2
789 
790   Level: developer
791 
792 .seealso: DMPlexProjectFunction(), DMPlexComputeL2Diff(), DMPlexComputeL2GradientDiff()
793 @*/
794 PetscErrorCode DMPlexComputeL2FieldDiff(DM dm, void (**funcs)(const PetscReal [], PetscScalar *, void *), void **ctxs, Vec X, PetscReal diff[])
795 {
796   const PetscInt   debug = 0;
797   PetscSection     section;
798   PetscQuadrature  quad;
799   Vec              localX;
800   PetscScalar     *funcVal, *interpolant;
801   PetscReal       *coords, *v0, *J, *invJ, detJ;
802   PetscReal       *localDiff;
803   const PetscReal *quadPoints, *quadWeights;
804   PetscInt         dim, numFields, numComponents = 0, numQuadPoints, cStart, cEnd, c, field, fieldOffset;
805   PetscErrorCode   ierr;
806 
807   PetscFunctionBegin;
808   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
809   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
810   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
811   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
812   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
813   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
814   for (field = 0; field < numFields; ++field) {
815     PetscObject  obj;
816     PetscClassId id;
817     PetscInt     Nc;
818 
819     ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
820     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
821     if (id == PETSCFE_CLASSID) {
822       PetscFE fe = (PetscFE) obj;
823 
824       ierr = PetscFEGetQuadrature(fe, &quad);CHKERRQ(ierr);
825       ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
826     } else if (id == PETSCFV_CLASSID) {
827       PetscFV fv = (PetscFV) obj;
828 
829       ierr = PetscFVGetQuadrature(fv, &quad);CHKERRQ(ierr);
830       ierr = PetscFVGetNumComponents(fv, &Nc);CHKERRQ(ierr);
831     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
832     numComponents += Nc;
833   }
834   ierr = PetscQuadratureGetData(quad, NULL, &numQuadPoints, &quadPoints, &quadWeights);CHKERRQ(ierr);
835   ierr = DMPlexProjectFunctionLocal(dm, funcs, ctxs, INSERT_BC_VALUES, localX);CHKERRQ(ierr);
836   ierr = PetscCalloc7(numFields,&localDiff,numComponents,&funcVal,numComponents,&interpolant,dim,&coords,dim,&v0,dim*dim,&J,dim*dim,&invJ);CHKERRQ(ierr);
837   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
838   for (c = cStart; c < cEnd; ++c) {
839     PetscScalar *x = NULL;
840 
841     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, v0, J, invJ, &detJ);CHKERRQ(ierr);
842     if (detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", detJ, c);
843     ierr = DMPlexVecGetClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
844 
845     for (field = 0, fieldOffset = 0; field < numFields; ++field) {
846       PetscObject  obj;
847       PetscClassId id;
848       void * const ctx = ctxs ? ctxs[field] : NULL;
849       PetscInt     Nb, Nc, q, fc;
850 
851       PetscReal       elemDiff = 0.0;
852 
853       ierr = DMGetField(dm, field, &obj);CHKERRQ(ierr);
854       ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
855       if (id == PETSCFE_CLASSID)      {ierr = PetscFEGetNumComponents((PetscFE) obj, &Nc);CHKERRQ(ierr);ierr = PetscFEGetDimension((PetscFE) obj, &Nb);CHKERRQ(ierr);}
856       else if (id == PETSCFV_CLASSID) {ierr = PetscFVGetNumComponents((PetscFV) obj, &Nc);CHKERRQ(ierr);Nb = 1;}
857       else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
858       if (debug) {
859         char title[1024];
860         ierr = PetscSNPrintf(title, 1023, "Solution for Field %d", field);CHKERRQ(ierr);
861         ierr = DMPrintCellVector(c, title, Nb*Nc, &x[fieldOffset]);CHKERRQ(ierr);
862       }
863       for (q = 0; q < numQuadPoints; ++q) {
864         CoordinatesRefToReal(dim, dim, v0, J, &quadPoints[q*dim], coords);
865         (*funcs[field])(coords, funcVal, ctx);
866         if (id == PETSCFE_CLASSID)      {ierr = PetscFEInterpolate_Static((PetscFE) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
867         else if (id == PETSCFV_CLASSID) {ierr = PetscFVInterpolate_Static((PetscFV) obj, &x[fieldOffset], q, interpolant);CHKERRQ(ierr);}
868         else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", field);
869         for (fc = 0; fc < Nc; ++fc) {
870           if (debug) {ierr = PetscPrintf(PETSC_COMM_SELF, "    elem %d field %d diff %g\n", c, field, PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ);CHKERRQ(ierr);}
871           elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc]))*quadWeights[q]*detJ;
872         }
873       }
874       fieldOffset += Nb*Nc;
875       localDiff[field] += elemDiff;
876     }
877     ierr = DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x);CHKERRQ(ierr);
878   }
879   ierr = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
880   ierr = MPI_Allreduce(localDiff, diff, numFields, MPIU_REAL, MPI_SUM, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
881   for (field = 0; field < numFields; ++field) diff[field] = PetscSqrtReal(diff[field]);
882   ierr = PetscFree7(localDiff,funcVal,interpolant,coords,v0,J,invJ);CHKERRQ(ierr);
883   PetscFunctionReturn(0);
884 }
885 
886 #undef __FUNCT__
887 #define __FUNCT__ "DMPlexComputeIntegralFEM"
888 /*@
889   DMPlexComputeIntegralFEM - Form the local integral F from the local input X using pointwise functions specified by the user
890 
891   Input Parameters:
892 + dm - The mesh
893 . X  - Local input vector
894 - user - The user context
895 
896   Output Parameter:
897 . integral - Local integral for each field
898 
899   Level: developer
900 
901 .seealso: DMPlexComputeResidualFEM()
902 @*/
903 PetscErrorCode DMPlexComputeIntegralFEM(DM dm, Vec X, PetscReal *integral, void *user)
904 {
905   DM_Plex          *mesh  = (DM_Plex *) dm->data;
906   DM                dmAux;
907   Vec               localX, A;
908   PetscDS           prob, probAux = NULL;
909   PetscQuadrature   q;
910   PetscSection      section, sectionAux;
911   PetscFECellGeom  *cgeom;
912   PetscScalar      *u, *a = NULL;
913   PetscInt          dim, Nf, f, numCells, cStart, cEnd, c;
914   PetscInt          totDim, totDimAux;
915   PetscErrorCode    ierr;
916 
917   PetscFunctionBegin;
918   /*ierr = PetscLogEventBegin(DMPLEX_IntegralFEM,dm,0,0,0);CHKERRQ(ierr);*/
919   ierr = DMGetLocalVector(dm, &localX);CHKERRQ(ierr);
920   ierr = DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
921   ierr = DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX);CHKERRQ(ierr);
922   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
923   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
924   ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
925   ierr = PetscDSGetTotalDimension(prob, &totDim);CHKERRQ(ierr);
926   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
927   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
928   numCells = cEnd - cStart;
929   for (f = 0; f < Nf; ++f) {integral[f]    = 0.0;}
930   ierr = PetscObjectQuery((PetscObject) dm, "dmAux", (PetscObject *) &dmAux);CHKERRQ(ierr);
931   ierr = PetscObjectQuery((PetscObject) dm, "A", (PetscObject *) &A);CHKERRQ(ierr);
932   if (dmAux) {
933     ierr = DMGetDefaultSection(dmAux, &sectionAux);CHKERRQ(ierr);
934     ierr = DMGetDS(dmAux, &probAux);CHKERRQ(ierr);
935     ierr = PetscDSGetTotalDimension(probAux, &totDimAux);CHKERRQ(ierr);
936   }
937   ierr = DMPlexInsertBoundaryValues(dm, localX, 0.0, NULL, NULL, NULL);CHKERRQ(ierr);
938   ierr = PetscMalloc2(numCells*totDim,&u,numCells,&cgeom);CHKERRQ(ierr);
939   if (dmAux) {ierr = PetscMalloc1(numCells*totDimAux, &a);CHKERRQ(ierr);}
940   for (c = cStart; c < cEnd; ++c) {
941     PetscScalar *x = NULL;
942     PetscInt     i;
943 
944     ierr = DMPlexComputeCellGeometryFEM(dm, c, NULL, cgeom[c].v0, cgeom[c].J, cgeom[c].invJ, &cgeom[c].detJ);CHKERRQ(ierr);
945     if (cgeom[c].detJ <= 0.0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %d", cgeom[c].detJ, c);
946     ierr = DMPlexVecGetClosure(dm, section, localX, c, NULL, &x);CHKERRQ(ierr);
947     for (i = 0; i < totDim; ++i) u[c*totDim+i] = x[i];
948     ierr = DMPlexVecRestoreClosure(dm, section, localX, c, NULL, &x);CHKERRQ(ierr);
949     if (dmAux) {
950       ierr = DMPlexVecGetClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr);
951       for (i = 0; i < totDimAux; ++i) a[c*totDimAux+i] = x[i];
952       ierr = DMPlexVecRestoreClosure(dmAux, sectionAux, A, c, NULL, &x);CHKERRQ(ierr);
953     }
954   }
955   for (f = 0; f < Nf; ++f) {
956     PetscFE  fe;
957     PetscInt numQuadPoints, Nb;
958     /* Conforming batches */
959     PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize;
960     /* Remainder */
961     PetscInt Nr, offset;
962 
963     ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr);
964     ierr = PetscFEGetQuadrature(fe, &q);CHKERRQ(ierr);
965     ierr = PetscFEGetDimension(fe, &Nb);CHKERRQ(ierr);
966     ierr = PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches);CHKERRQ(ierr);
967     ierr = PetscQuadratureGetData(q, NULL, &numQuadPoints, NULL, NULL);CHKERRQ(ierr);
968     blockSize = Nb*numQuadPoints;
969     batchSize = numBlocks * blockSize;
970     ierr =  PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches);CHKERRQ(ierr);
971     numChunks = numCells / (numBatches*batchSize);
972     Ne        = numChunks*numBatches*batchSize;
973     Nr        = numCells % (numBatches*batchSize);
974     offset    = numCells - Nr;
975     ierr = PetscFEIntegrate(fe, prob, f, Ne, cgeom, u, probAux, a, integral);CHKERRQ(ierr);
976     ierr = PetscFEIntegrate(fe, prob, f, Nr, &cgeom[offset], &u[offset*totDim], probAux, &a[offset*totDimAux], integral);CHKERRQ(ierr);
977   }
978   ierr = PetscFree2(u,cgeom);CHKERRQ(ierr);
979   if (dmAux) {ierr = PetscFree(a);CHKERRQ(ierr);}
980   if (mesh->printFEM) {
981     ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "Local integral:");CHKERRQ(ierr);
982     for (f = 0; f < Nf; ++f) {ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), " %g", integral[f]);CHKERRQ(ierr);}
983     ierr = PetscPrintf(PetscObjectComm((PetscObject) dm), "\n");CHKERRQ(ierr);
984   }
985   ierr  = DMRestoreLocalVector(dm, &localX);CHKERRQ(ierr);
986   /* TODO: Allreduce for integral */
987   /*ierr = PetscLogEventEnd(DMPLEX_IntegralFEM,dm,0,0,0);CHKERRQ(ierr);*/
988   PetscFunctionReturn(0);
989 }
990 
991 #undef __FUNCT__
992 #define __FUNCT__ "DMPlexComputeInterpolatorFEM"
993 /*@
994   DMPlexComputeInterpolatorFEM - Form the local portion of the interpolation matrix I from the coarse DM to the uniformly refined DM.
995 
996   Input Parameters:
997 + dmf  - The fine mesh
998 . dmc  - The coarse mesh
999 - user - The user context
1000 
1001   Output Parameter:
1002 . In  - The interpolation matrix
1003 
1004   Note:
1005   The first member of the user context must be an FEMContext.
1006 
1007   We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator,
1008   like a GPU, or vectorize on a multicore machine.
1009 
1010   Level: developer
1011 
1012 .seealso: DMPlexComputeJacobianFEM()
1013 @*/
1014 PetscErrorCode DMPlexComputeInterpolatorFEM(DM dmc, DM dmf, Mat In, void *user)
1015 {
1016   DM_Plex          *mesh  = (DM_Plex *) dmc->data;
1017   const char       *name  = "Interpolator";
1018   PetscDS           prob;
1019   PetscFE          *feRef;
1020   PetscSection      fsection, fglobalSection;
1021   PetscSection      csection, cglobalSection;
1022   PetscScalar      *elemMat;
1023   PetscInt          dim, Nf, f, fieldI, fieldJ, offsetI, offsetJ, cStart, cEnd, c;
1024   PetscInt          cTotDim, rTotDim = 0;
1025   PetscErrorCode    ierr;
1026 
1027   PetscFunctionBegin;
1028   ierr = PetscLogEventBegin(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1029   ierr = DMGetDimension(dmf, &dim);CHKERRQ(ierr);
1030   ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);
1031   ierr = DMGetDefaultGlobalSection(dmf, &fglobalSection);CHKERRQ(ierr);
1032   ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);
1033   ierr = DMGetDefaultGlobalSection(dmc, &cglobalSection);CHKERRQ(ierr);
1034   ierr = PetscSectionGetNumFields(fsection, &Nf);CHKERRQ(ierr);
1035   ierr = DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);CHKERRQ(ierr);
1036   ierr = DMGetDS(dmf, &prob);CHKERRQ(ierr);
1037   ierr = PetscMalloc1(Nf,&feRef);CHKERRQ(ierr);
1038   for (f = 0; f < Nf; ++f) {
1039     PetscFE  fe;
1040     PetscInt rNb, Nc;
1041 
1042     ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr);
1043     ierr = PetscFERefine(fe, &feRef[f]);CHKERRQ(ierr);
1044     ierr = PetscFEGetDimension(feRef[f], &rNb);CHKERRQ(ierr);
1045     ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1046     rTotDim += rNb*Nc;
1047   }
1048   ierr = PetscDSGetTotalDimension(prob, &cTotDim);CHKERRQ(ierr);
1049   ierr = PetscMalloc1(rTotDim*cTotDim,&elemMat);CHKERRQ(ierr);
1050   ierr = PetscMemzero(elemMat, rTotDim*cTotDim * sizeof(PetscScalar));CHKERRQ(ierr);
1051   for (fieldI = 0, offsetI = 0; fieldI < Nf; ++fieldI) {
1052     PetscDualSpace   Qref;
1053     PetscQuadrature  f;
1054     const PetscReal *qpoints, *qweights;
1055     PetscReal       *points;
1056     PetscInt         npoints = 0, Nc, Np, fpdim, i, k, p, d;
1057 
1058     /* Compose points from all dual basis functionals */
1059     ierr = PetscFEGetDualSpace(feRef[fieldI], &Qref);CHKERRQ(ierr);
1060     ierr = PetscFEGetNumComponents(feRef[fieldI], &Nc);CHKERRQ(ierr);
1061     ierr = PetscDualSpaceGetDimension(Qref, &fpdim);CHKERRQ(ierr);
1062     for (i = 0; i < fpdim; ++i) {
1063       ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1064       ierr = PetscQuadratureGetData(f, NULL, &Np, NULL, NULL);CHKERRQ(ierr);
1065       npoints += Np;
1066     }
1067     ierr = PetscMalloc1(npoints*dim,&points);CHKERRQ(ierr);
1068     for (i = 0, k = 0; i < fpdim; ++i) {
1069       ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1070       ierr = PetscQuadratureGetData(f, NULL, &Np, &qpoints, NULL);CHKERRQ(ierr);
1071       for (p = 0; p < Np; ++p, ++k) for (d = 0; d < dim; ++d) points[k*dim+d] = qpoints[p*dim+d];
1072     }
1073 
1074     for (fieldJ = 0, offsetJ = 0; fieldJ < Nf; ++fieldJ) {
1075       PetscFE    fe;
1076       PetscReal *B;
1077       PetscInt   NcJ, cpdim, j;
1078 
1079       /* Evaluate basis at points */
1080       ierr = PetscDSGetDiscretization(prob, fieldJ, (PetscObject *) &fe);CHKERRQ(ierr);
1081       ierr = PetscFEGetNumComponents(fe, &NcJ);CHKERRQ(ierr);
1082       ierr = PetscFEGetDimension(fe, &cpdim);CHKERRQ(ierr);
1083       /* For now, fields only interpolate themselves */
1084       if (fieldI == fieldJ) {
1085         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);
1086         ierr = PetscFEGetTabulation(fe, npoints, points, &B, NULL, NULL);CHKERRQ(ierr);
1087         for (i = 0, k = 0; i < fpdim; ++i) {
1088           ierr = PetscDualSpaceGetFunctional(Qref, i, &f);CHKERRQ(ierr);
1089           ierr = PetscQuadratureGetData(f, NULL, &Np, NULL, &qweights);CHKERRQ(ierr);
1090           for (p = 0; p < Np; ++p, ++k) {
1091             for (j = 0; j < cpdim; ++j) {
1092               for (c = 0; c < Nc; ++c) elemMat[(offsetI + i*Nc + c)*cTotDim + offsetJ + j*NcJ + c] += B[k*cpdim*NcJ+j*Nc+c]*qweights[p];
1093             }
1094           }
1095         }
1096         ierr = PetscFERestoreTabulation(fe, npoints, points, &B, NULL, NULL);CHKERRQ(ierr);CHKERRQ(ierr);
1097       }
1098       offsetJ += cpdim*NcJ;
1099     }
1100     offsetI += fpdim*Nc;
1101     ierr = PetscFree(points);CHKERRQ(ierr);
1102   }
1103   if (mesh->printFEM > 1) {ierr = DMPrintCellMatrix(0, name, rTotDim, cTotDim, elemMat);CHKERRQ(ierr);}
1104   /* Preallocate matrix */
1105   {
1106     PetscHashJK ht;
1107     PetscLayout rLayout;
1108     PetscInt   *dnz, *onz, *cellCIndices, *cellFIndices;
1109     PetscInt    locRows, rStart, rEnd, cell, r;
1110 
1111     ierr = MatGetLocalSize(In, &locRows, NULL);CHKERRQ(ierr);
1112     ierr = PetscLayoutCreate(PetscObjectComm((PetscObject) In), &rLayout);CHKERRQ(ierr);
1113     ierr = PetscLayoutSetLocalSize(rLayout, locRows);CHKERRQ(ierr);
1114     ierr = PetscLayoutSetBlockSize(rLayout, 1);CHKERRQ(ierr);
1115     ierr = PetscLayoutSetUp(rLayout);CHKERRQ(ierr);
1116     ierr = PetscLayoutGetRange(rLayout, &rStart, &rEnd);CHKERRQ(ierr);
1117     ierr = PetscLayoutDestroy(&rLayout);CHKERRQ(ierr);
1118     ierr = PetscCalloc4(locRows,&dnz,locRows,&onz,cTotDim,&cellCIndices,rTotDim,&cellFIndices);CHKERRQ(ierr);
1119     ierr = PetscHashJKCreate(&ht);CHKERRQ(ierr);
1120     for (cell = cStart; cell < cEnd; ++cell) {
1121       ierr = DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, cell, cellCIndices, cellFIndices);CHKERRQ(ierr);
1122       for (r = 0; r < rTotDim; ++r) {
1123         PetscHashJKKey  key;
1124         PetscHashJKIter missing, iter;
1125 
1126         key.j = cellFIndices[r];
1127         if (key.j < 0) continue;
1128         for (c = 0; c < cTotDim; ++c) {
1129           key.k = cellCIndices[c];
1130           if (key.k < 0) continue;
1131           ierr = PetscHashJKPut(ht, key, &missing, &iter);CHKERRQ(ierr);
1132           if (missing) {
1133             ierr = PetscHashJKSet(ht, iter, 1);CHKERRQ(ierr);
1134             if ((key.k >= rStart) && (key.k < rEnd)) ++dnz[key.j-rStart];
1135             else                                     ++onz[key.j-rStart];
1136           }
1137         }
1138       }
1139     }
1140     ierr = PetscHashJKDestroy(&ht);CHKERRQ(ierr);
1141     ierr = MatXAIJSetPreallocation(In, 1, dnz, onz, NULL, NULL);CHKERRQ(ierr);
1142     ierr = MatSetOption(In, MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1143     ierr = PetscFree4(dnz,onz,cellCIndices,cellFIndices);CHKERRQ(ierr);
1144   }
1145   /* Fill matrix */
1146   ierr = MatZeroEntries(In);CHKERRQ(ierr);
1147   for (c = cStart; c < cEnd; ++c) {
1148     ierr = DMPlexMatSetClosureRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, In, c, elemMat, INSERT_VALUES);CHKERRQ(ierr);
1149   }
1150   for (f = 0; f < Nf; ++f) {ierr = PetscFEDestroy(&feRef[f]);CHKERRQ(ierr);}
1151   ierr = PetscFree(feRef);CHKERRQ(ierr);
1152   ierr = PetscFree(elemMat);CHKERRQ(ierr);
1153   ierr = MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1154   ierr = MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1155   if (mesh->printFEM) {
1156     ierr = PetscPrintf(PETSC_COMM_WORLD, "%s:\n", name);CHKERRQ(ierr);
1157     ierr = MatChop(In, 1.0e-10);CHKERRQ(ierr);
1158     ierr = MatView(In, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
1159   }
1160   ierr = PetscLogEventEnd(DMPLEX_InterpolatorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1161   PetscFunctionReturn(0);
1162 }
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "DMPlexComputeInjectorFEM"
1166 PetscErrorCode DMPlexComputeInjectorFEM(DM dmc, DM dmf, VecScatter *sc, void *user)
1167 {
1168   PetscDS        prob;
1169   PetscFE       *feRef;
1170   Vec            fv, cv;
1171   IS             fis, cis;
1172   PetscSection   fsection, fglobalSection, csection, cglobalSection;
1173   PetscInt      *cmap, *cellCIndices, *cellFIndices, *cindices, *findices;
1174   PetscInt       cTotDim, fTotDim = 0, Nf, f, field, cStart, cEnd, c, dim, d, startC, offsetC, offsetF, m;
1175   PetscErrorCode ierr;
1176 
1177   PetscFunctionBegin;
1178   ierr = PetscLogEventBegin(DMPLEX_InjectorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1179   ierr = DMGetDimension(dmf, &dim);CHKERRQ(ierr);
1180   ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);
1181   ierr = DMGetDefaultGlobalSection(dmf, &fglobalSection);CHKERRQ(ierr);
1182   ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);
1183   ierr = DMGetDefaultGlobalSection(dmc, &cglobalSection);CHKERRQ(ierr);
1184   ierr = PetscSectionGetNumFields(fsection, &Nf);CHKERRQ(ierr);
1185   ierr = DMPlexGetHeightStratum(dmc, 0, &cStart, &cEnd);CHKERRQ(ierr);
1186   ierr = DMGetDS(dmc, &prob);CHKERRQ(ierr);
1187   ierr = PetscMalloc1(Nf,&feRef);CHKERRQ(ierr);
1188   for (f = 0; f < Nf; ++f) {
1189     PetscFE  fe;
1190     PetscInt fNb, Nc;
1191 
1192     ierr = PetscDSGetDiscretization(prob, f, (PetscObject *) &fe);CHKERRQ(ierr);
1193     ierr = PetscFERefine(fe, &feRef[f]);CHKERRQ(ierr);
1194     ierr = PetscFEGetDimension(feRef[f], &fNb);CHKERRQ(ierr);
1195     ierr = PetscFEGetNumComponents(fe, &Nc);CHKERRQ(ierr);
1196     fTotDim += fNb*Nc;
1197   }
1198   ierr = PetscDSGetTotalDimension(prob, &cTotDim);CHKERRQ(ierr);
1199   ierr = PetscMalloc1(cTotDim,&cmap);CHKERRQ(ierr);
1200   for (field = 0, offsetC = 0, offsetF = 0; field < Nf; ++field) {
1201     PetscFE        feC;
1202     PetscDualSpace QF, QC;
1203     PetscInt       NcF, NcC, fpdim, cpdim;
1204 
1205     ierr = PetscDSGetDiscretization(prob, field, (PetscObject *) &feC);CHKERRQ(ierr);
1206     ierr = PetscFEGetNumComponents(feC, &NcC);CHKERRQ(ierr);
1207     ierr = PetscFEGetNumComponents(feRef[field], &NcF);CHKERRQ(ierr);
1208     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);
1209     ierr = PetscFEGetDualSpace(feRef[field], &QF);CHKERRQ(ierr);
1210     ierr = PetscDualSpaceGetDimension(QF, &fpdim);CHKERRQ(ierr);
1211     ierr = PetscFEGetDualSpace(feC, &QC);CHKERRQ(ierr);
1212     ierr = PetscDualSpaceGetDimension(QC, &cpdim);CHKERRQ(ierr);
1213     for (c = 0; c < cpdim; ++c) {
1214       PetscQuadrature  cfunc;
1215       const PetscReal *cqpoints;
1216       PetscInt         NpC;
1217 
1218       ierr = PetscDualSpaceGetFunctional(QC, c, &cfunc);CHKERRQ(ierr);
1219       ierr = PetscQuadratureGetData(cfunc, NULL, &NpC, &cqpoints, NULL);CHKERRQ(ierr);
1220       if (NpC != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Do not know how to do injection for moments");
1221       for (f = 0; f < fpdim; ++f) {
1222         PetscQuadrature  ffunc;
1223         const PetscReal *fqpoints;
1224         PetscReal        sum = 0.0;
1225         PetscInt         NpF, comp;
1226 
1227         ierr = PetscDualSpaceGetFunctional(QF, f, &ffunc);CHKERRQ(ierr);
1228         ierr = PetscQuadratureGetData(ffunc, NULL, &NpF, &fqpoints, NULL);CHKERRQ(ierr);
1229         if (NpC != NpF) continue;
1230         for (d = 0; d < dim; ++d) sum += PetscAbsReal(cqpoints[d] - fqpoints[d]);
1231         if (sum > 1.0e-9) continue;
1232         for (comp = 0; comp < NcC; ++comp) {
1233           cmap[(offsetC+c)*NcC+comp] = (offsetF+f)*NcF+comp;
1234         }
1235         break;
1236       }
1237     }
1238     offsetC += cpdim*NcC;
1239     offsetF += fpdim*NcF;
1240   }
1241   for (f = 0; f < Nf; ++f) {ierr = PetscFEDestroy(&feRef[f]);CHKERRQ(ierr);}
1242   ierr = PetscFree(feRef);CHKERRQ(ierr);
1243 
1244   ierr = DMGetGlobalVector(dmf, &fv);CHKERRQ(ierr);
1245   ierr = DMGetGlobalVector(dmc, &cv);CHKERRQ(ierr);
1246   ierr = VecGetOwnershipRange(cv, &startC, NULL);CHKERRQ(ierr);
1247   ierr = PetscSectionGetConstrainedStorageSize(cglobalSection, &m);CHKERRQ(ierr);
1248   ierr = PetscMalloc2(cTotDim,&cellCIndices,fTotDim,&cellFIndices);CHKERRQ(ierr);
1249   ierr = PetscMalloc1(m,&cindices);CHKERRQ(ierr);
1250   ierr = PetscMalloc1(m,&findices);CHKERRQ(ierr);
1251   for (d = 0; d < m; ++d) cindices[d] = findices[d] = -1;
1252   for (c = cStart; c < cEnd; ++c) {
1253     ierr = DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, c, cellCIndices, cellFIndices);CHKERRQ(ierr);
1254     for (d = 0; d < cTotDim; ++d) {
1255       if (cellCIndices[d] < 0) continue;
1256       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]]);
1257       cindices[cellCIndices[d]-startC] = cellCIndices[d];
1258       findices[cellCIndices[d]-startC] = cellFIndices[cmap[d]];
1259     }
1260   }
1261   ierr = PetscFree(cmap);CHKERRQ(ierr);
1262   ierr = PetscFree2(cellCIndices,cellFIndices);CHKERRQ(ierr);
1263 
1264   ierr = ISCreateGeneral(PETSC_COMM_SELF, m, cindices, PETSC_OWN_POINTER, &cis);CHKERRQ(ierr);
1265   ierr = ISCreateGeneral(PETSC_COMM_SELF, m, findices, PETSC_OWN_POINTER, &fis);CHKERRQ(ierr);
1266   ierr = VecScatterCreate(cv, cis, fv, fis, sc);CHKERRQ(ierr);
1267   ierr = ISDestroy(&cis);CHKERRQ(ierr);
1268   ierr = ISDestroy(&fis);CHKERRQ(ierr);
1269   ierr = DMRestoreGlobalVector(dmf, &fv);CHKERRQ(ierr);
1270   ierr = DMRestoreGlobalVector(dmc, &cv);CHKERRQ(ierr);
1271   ierr = PetscLogEventEnd(DMPLEX_InjectorFEM,dmc,dmf,0,0);CHKERRQ(ierr);
1272   PetscFunctionReturn(0);
1273 }
1274