Actual source code: fe.c
1: /* Basis Jet Tabulation
3: We would like to tabulate the nodal basis functions and derivatives at a set of points, usually quadrature points. We
4: follow here the derviation in http://www.math.ttu.edu/~kirby/papers/fiat-toms-2004.pdf. The nodal basis $\psi_i$ can
5: be expressed in terms of a prime basis $\phi_i$ which can be stably evaluated. In PETSc, we will use the Legendre basis
6: as a prime basis.
8: \psi_i = \sum_k \alpha_{ki} \phi_k
10: Our nodal basis is defined in terms of the dual basis $n_j$
12: n_j \cdot \psi_i = \delta_{ji}
14: and we may act on the first equation to obtain
16: n_j \cdot \psi_i = \sum_k \alpha_{ki} n_j \cdot \phi_k
17: \delta_{ji} = \sum_k \alpha_{ki} V_{jk}
18: I = V \alpha
20: so the coefficients of the nodal basis in the prime basis are
22: \alpha = V^{-1}
24: We will define the dual basis vectors $n_j$ using a quadrature rule.
26: Right now, we will just use the polynomial spaces P^k. I know some elements use the space of symmetric polynomials
27: (I think Nedelec), but we will neglect this for now. Constraints in the space, e.g. Arnold-Winther elements, can
28: be implemented exactly as in FIAT using functionals $L_j$.
30: I will have to count the degrees correctly for the Legendre product when we are on simplices.
32: We will have three objects:
33: - Space, P: this just need point evaluation I think
34: - Dual Space, P'+K: This looks like a set of functionals that can act on members of P, each n is defined by a Q
35: - FEM: This keeps {P, P', Q}
36: */
37: #include <petsc/private/petscfeimpl.h>
38: #include <petscdmplex.h>
40: PetscBool FEcite = PETSC_FALSE;
41: const char FECitation[] = "@article{kirby2004,\n"
42: " title = {Algorithm 839: FIAT, a New Paradigm for Computing Finite Element Basis Functions},\n"
43: " journal = {ACM Transactions on Mathematical Software},\n"
44: " author = {Robert C. Kirby},\n"
45: " volume = {30},\n"
46: " number = {4},\n"
47: " pages = {502--516},\n"
48: " doi = {10.1145/1039813.1039820},\n"
49: " year = {2004}\n}\n";
51: PetscClassId PETSCFE_CLASSID = 0;
53: PetscLogEvent PETSCFE_SetUp;
55: PetscFunctionList PetscFEList = NULL;
56: PetscBool PetscFERegisterAllCalled = PETSC_FALSE;
58: /*@C
59: PetscFERegister - Adds a new `PetscFEType`
61: Not Collective, No Fortran Support
63: Input Parameters:
64: + sname - The name of a new user-defined creation routine
65: - function - The creation routine
67: Example Usage:
68: .vb
69: PetscFERegister("my_fe", MyPetscFECreate);
70: .ve
72: Then, your PetscFE type can be chosen with the procedural interface via
73: .vb
74: PetscFECreate(MPI_Comm, PetscFE *);
75: PetscFESetType(PetscFE, "my_fe");
76: .ve
77: or at runtime via the option
78: .vb
79: -petscfe_type my_fe
80: .ve
82: Level: advanced
84: Note:
85: `PetscFERegister()` may be called multiple times to add several user-defined `PetscFE`s
87: .seealso: `PetscFE`, `PetscFEType`, `PetscFERegisterAll()`, `PetscFERegisterDestroy()`
88: @*/
89: PetscErrorCode PetscFERegister(const char sname[], PetscErrorCode (*function)(PetscFE))
90: {
91: PetscFunctionBegin;
92: PetscCall(PetscFunctionListAdd(&PetscFEList, sname, function));
93: PetscFunctionReturn(PETSC_SUCCESS);
94: }
96: /*@
97: PetscFESetType - Builds a particular `PetscFE`
99: Collective
101: Input Parameters:
102: + fem - The `PetscFE` object
103: - name - The kind of FEM space
105: Options Database Key:
106: . -petscfe_type type - Sets the `PetscFE` type; use -help for a list of available types
108: Level: intermediate
110: .seealso: `PetscFEType`, `PetscFE`, `PetscFEGetType()`, `PetscFECreate()`
111: @*/
112: PetscErrorCode PetscFESetType(PetscFE fem, PetscFEType name)
113: {
114: PetscErrorCode (*r)(PetscFE);
115: PetscBool match;
117: PetscFunctionBegin;
119: PetscCall(PetscObjectTypeCompare((PetscObject)fem, name, &match));
120: if (match) PetscFunctionReturn(PETSC_SUCCESS);
122: if (!PetscFERegisterAllCalled) PetscCall(PetscFERegisterAll());
123: PetscCall(PetscFunctionListFind(PetscFEList, name, &r));
124: PetscCheck(r, PetscObjectComm((PetscObject)fem), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown PetscFE type: %s", name);
126: PetscTryTypeMethod(fem, destroy);
127: fem->ops->destroy = NULL;
129: PetscCall((*r)(fem));
130: PetscCall(PetscObjectChangeTypeName((PetscObject)fem, name));
131: PetscFunctionReturn(PETSC_SUCCESS);
132: }
134: /*@
135: PetscFEGetType - Gets the `PetscFEType` (as a string) from the `PetscFE` object.
137: Not Collective
139: Input Parameter:
140: . fem - The `PetscFE`
142: Output Parameter:
143: . name - The `PetscFEType` name
145: Level: intermediate
147: .seealso: `PetscFEType`, `PetscFE`, `PetscFESetType()`, `PetscFECreate()`
148: @*/
149: PetscErrorCode PetscFEGetType(PetscFE fem, PetscFEType *name)
150: {
151: PetscFunctionBegin;
153: PetscAssertPointer(name, 2);
154: if (!PetscFERegisterAllCalled) PetscCall(PetscFERegisterAll());
155: *name = ((PetscObject)fem)->type_name;
156: PetscFunctionReturn(PETSC_SUCCESS);
157: }
159: /*@
160: PetscFEViewFromOptions - View from a `PetscFE` based on values in the options database
162: Collective
164: Input Parameters:
165: + A - the `PetscFE` object
166: . obj - Optional object that provides the options prefix, pass `NULL` to use the options prefix of `A`
167: - name - command line option name
169: Options Database Key:
170: . -name [viewertype][:...] - option name and values. See `PetscObjectViewFromOptions()` for the possible arguments
172: Level: intermediate
174: .seealso: `PetscFE`, `PetscFEView()`, `PetscObjectViewFromOptions()`, `PetscFECreate()`
175: @*/
176: PetscErrorCode PetscFEViewFromOptions(PetscFE A, PeOp PetscObject obj, const char name[])
177: {
178: PetscFunctionBegin;
180: PetscCall(PetscObjectViewFromOptions((PetscObject)A, obj, name));
181: PetscFunctionReturn(PETSC_SUCCESS);
182: }
184: /*@
185: PetscFEView - Views a `PetscFE`
187: Collective
189: Input Parameters:
190: + fem - the `PetscFE` object to view
191: - viewer - the viewer
193: Level: beginner
195: .seealso: `PetscFE`, `PetscViewer`, `PetscFEDestroy()`, `PetscFEViewFromOptions()`
196: @*/
197: PetscErrorCode PetscFEView(PetscFE fem, PetscViewer viewer)
198: {
199: PetscBool isascii;
201: PetscFunctionBegin;
204: if (!viewer) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)fem), &viewer));
205: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)fem, viewer));
206: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
207: PetscTryTypeMethod(fem, view, viewer);
208: PetscFunctionReturn(PETSC_SUCCESS);
209: }
211: /*@
212: PetscFESetFromOptions - sets parameters in a `PetscFE` from the options database
214: Collective
216: Input Parameter:
217: . fem - the `PetscFE` object to set options for
219: Options Database Keys:
220: + -petscfe_num_blocks - the number of cell blocks to integrate concurrently
221: - -petscfe_num_batches - the number of cell batches to integrate serially
223: Level: intermediate
225: .seealso: `PetscFE`, `PetscFEView()`
226: @*/
227: PetscErrorCode PetscFESetFromOptions(PetscFE fem)
228: {
229: const char *defaultType;
230: char name[256];
231: PetscBool flg;
233: PetscFunctionBegin;
235: if (!((PetscObject)fem)->type_name) defaultType = PETSCFEBASIC;
236: else defaultType = ((PetscObject)fem)->type_name;
237: if (!PetscFERegisterAllCalled) PetscCall(PetscFERegisterAll());
239: PetscObjectOptionsBegin((PetscObject)fem);
240: PetscCall(PetscOptionsFList("-petscfe_type", "Finite element space", "PetscFESetType", PetscFEList, defaultType, name, 256, &flg));
241: if (flg) PetscCall(PetscFESetType(fem, name));
242: else if (!((PetscObject)fem)->type_name) PetscCall(PetscFESetType(fem, defaultType));
243: PetscCall(PetscOptionsBoundedInt("-petscfe_num_blocks", "The number of cell blocks to integrate concurrently", "PetscSpaceSetTileSizes", fem->numBlocks, &fem->numBlocks, NULL, 1));
244: PetscCall(PetscOptionsBoundedInt("-petscfe_num_batches", "The number of cell batches to integrate serially", "PetscSpaceSetTileSizes", fem->numBatches, &fem->numBatches, NULL, 1));
245: PetscTryTypeMethod(fem, setfromoptions, PetscOptionsObject);
246: /* process any options handlers added with PetscObjectAddOptionsHandler() */
247: PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)fem, PetscOptionsObject));
248: PetscOptionsEnd();
249: PetscCall(PetscFEViewFromOptions(fem, NULL, "-petscfe_view"));
250: PetscFunctionReturn(PETSC_SUCCESS);
251: }
253: /*@
254: PetscFESetUp - Construct data structures for the `PetscFE` after the `PetscFEType` has been set
256: Collective
258: Input Parameter:
259: . fem - the `PetscFE` object to setup
261: Level: intermediate
263: .seealso: `PetscFE`, `PetscFEView()`, `PetscFEDestroy()`
264: @*/
265: PetscErrorCode PetscFESetUp(PetscFE fem)
266: {
267: PetscFunctionBegin;
269: if (fem->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
270: PetscCall(PetscLogEventBegin(PETSCFE_SetUp, fem, 0, 0, 0));
271: fem->setupcalled = PETSC_TRUE;
272: PetscTryTypeMethod(fem, setup);
273: PetscCall(PetscLogEventEnd(PETSCFE_SetUp, fem, 0, 0, 0));
274: PetscFunctionReturn(PETSC_SUCCESS);
275: }
277: /*@
278: PetscFEDestroy - Destroys a `PetscFE` object
280: Collective
282: Input Parameter:
283: . fem - the `PetscFE` object to destroy
285: Level: beginner
287: .seealso: `PetscFE`, `PetscFEView()`
288: @*/
289: PetscErrorCode PetscFEDestroy(PetscFE *fem)
290: {
291: PetscFunctionBegin;
292: if (!*fem) PetscFunctionReturn(PETSC_SUCCESS);
295: if (--((PetscObject)*fem)->refct > 0) {
296: *fem = NULL;
297: PetscFunctionReturn(PETSC_SUCCESS);
298: }
299: ((PetscObject)*fem)->refct = 0;
301: if ((*fem)->subspaces) {
302: PetscInt dim;
304: PetscCall(PetscDualSpaceGetDimension((*fem)->dualSpace, &dim));
305: for (PetscInt d = 0; d < dim; ++d) PetscCall(PetscFEDestroy(&(*fem)->subspaces[d]));
306: }
307: PetscCall(PetscFree((*fem)->subspaces));
308: PetscCall(PetscFree((*fem)->invV));
309: PetscCall(PetscTabulationDestroy(&(*fem)->T));
310: PetscCall(PetscTabulationDestroy(&(*fem)->Tf));
311: PetscCall(PetscTabulationDestroy(&(*fem)->Tc));
312: PetscCall(PetscSpaceDestroy(&(*fem)->basisSpace));
313: PetscCall(PetscDualSpaceDestroy(&(*fem)->dualSpace));
314: PetscCall(PetscQuadratureDestroy(&(*fem)->quadrature));
315: PetscCall(PetscQuadratureDestroy(&(*fem)->faceQuadrature));
316: #ifdef PETSC_HAVE_LIBCEED
317: PetscCallCEED(CeedBasisDestroy(&(*fem)->ceedBasis));
318: PetscCallCEED(CeedDestroy(&(*fem)->ceed));
319: #endif
321: PetscTryTypeMethod(*fem, destroy);
322: PetscCall(PetscHeaderDestroy(fem));
323: PetscFunctionReturn(PETSC_SUCCESS);
324: }
326: /*@
327: PetscFECreate - Creates an empty `PetscFE` object. The type can then be set with `PetscFESetType()`.
329: Collective
331: Input Parameter:
332: . comm - The communicator for the `PetscFE` object
334: Output Parameter:
335: . fem - The `PetscFE` object
337: Level: beginner
339: .seealso: `PetscFE`, `PetscFEType`, `PetscFESetType()`, `PetscFECreateDefault()`, `PETSCFEGALERKIN`
340: @*/
341: PetscErrorCode PetscFECreate(MPI_Comm comm, PetscFE *fem)
342: {
343: PetscFE f;
345: PetscFunctionBegin;
346: PetscAssertPointer(fem, 2);
347: PetscCall(PetscCitationsRegister(FECitation, &FEcite));
348: PetscCall(PetscFEInitializePackage());
350: PetscCall(PetscHeaderCreate(f, PETSCFE_CLASSID, "PetscFE", "Finite Element", "PetscFE", comm, PetscFEDestroy, PetscFEView));
352: f->basisSpace = NULL;
353: f->dualSpace = NULL;
354: f->numComponents = 1;
355: f->subspaces = NULL;
356: f->invV = NULL;
357: f->T = NULL;
358: f->Tf = NULL;
359: f->Tc = NULL;
360: PetscCall(PetscArrayzero(&f->quadrature, 1));
361: PetscCall(PetscArrayzero(&f->faceQuadrature, 1));
362: f->blockSize = 0;
363: f->numBlocks = 1;
364: f->batchSize = 0;
365: f->numBatches = 1;
367: *fem = f;
368: PetscFunctionReturn(PETSC_SUCCESS);
369: }
371: /*@
372: PetscFEGetSpatialDimension - Returns the spatial dimension of the element
374: Not Collective
376: Input Parameter:
377: . fem - The `PetscFE` object
379: Output Parameter:
380: . dim - The spatial dimension
382: Level: intermediate
384: .seealso: `PetscFE`, `PetscFECreate()`
385: @*/
386: PetscErrorCode PetscFEGetSpatialDimension(PetscFE fem, PetscInt *dim)
387: {
388: DM dm;
390: PetscFunctionBegin;
392: PetscAssertPointer(dim, 2);
393: PetscCall(PetscDualSpaceGetDM(fem->dualSpace, &dm));
394: PetscCall(DMGetDimension(dm, dim));
395: PetscFunctionReturn(PETSC_SUCCESS);
396: }
398: /*@
399: PetscFESetNumComponents - Sets the number of field components in the element
401: Not Collective
403: Input Parameters:
404: + fem - The `PetscFE` object
405: - comp - The number of field components
407: Level: intermediate
409: .seealso: `PetscFE`, `PetscFECreate()`, `PetscFEGetSpatialDimension()`, `PetscFEGetNumComponents()`
410: @*/
411: PetscErrorCode PetscFESetNumComponents(PetscFE fem, PetscInt comp)
412: {
413: PetscFunctionBegin;
415: fem->numComponents = comp;
416: PetscFunctionReturn(PETSC_SUCCESS);
417: }
419: /*@
420: PetscFEGetNumComponents - Returns the number of components in the element
422: Not Collective
424: Input Parameter:
425: . fem - The `PetscFE` object
427: Output Parameter:
428: . comp - The number of field components
430: Level: intermediate
432: .seealso: `PetscFE`, `PetscFECreate()`, `PetscFEGetSpatialDimension()`
433: @*/
434: PetscErrorCode PetscFEGetNumComponents(PetscFE fem, PetscInt *comp)
435: {
436: PetscFunctionBegin;
438: PetscAssertPointer(comp, 2);
439: *comp = fem->numComponents;
440: PetscFunctionReturn(PETSC_SUCCESS);
441: }
443: /*@
444: PetscFESetTileSizes - Sets the tile sizes for evaluation
446: Not Collective
448: Input Parameters:
449: + fem - The `PetscFE` object
450: . blockSize - The number of elements in a block
451: . numBlocks - The number of blocks in a batch
452: . batchSize - The number of elements in a batch
453: - numBatches - The number of batches in a chunk
455: Level: intermediate
457: .seealso: `PetscFE`, `PetscFECreate()`, `PetscFEGetTileSizes()`
458: @*/
459: PetscErrorCode PetscFESetTileSizes(PetscFE fem, PetscInt blockSize, PetscInt numBlocks, PetscInt batchSize, PetscInt numBatches)
460: {
461: PetscFunctionBegin;
463: fem->blockSize = blockSize;
464: fem->numBlocks = numBlocks;
465: fem->batchSize = batchSize;
466: fem->numBatches = numBatches;
467: PetscFunctionReturn(PETSC_SUCCESS);
468: }
470: /*@
471: PetscFEGetTileSizes - Returns the tile sizes for evaluation
473: Not Collective
475: Input Parameter:
476: . fem - The `PetscFE` object
478: Output Parameters:
479: + blockSize - The number of elements in a block, pass `NULL` if not needed
480: . numBlocks - The number of blocks in a batch, pass `NULL` if not needed
481: . batchSize - The number of elements in a batch, pass `NULL` if not needed
482: - numBatches - The number of batches in a chunk, pass `NULL` if not needed
484: Level: intermediate
486: .seealso: `PetscFE`, `PetscFECreate()`, `PetscFESetTileSizes()`
487: @*/
488: PetscErrorCode PetscFEGetTileSizes(PetscFE fem, PeOp PetscInt *blockSize, PeOp PetscInt *numBlocks, PeOp PetscInt *batchSize, PeOp PetscInt *numBatches)
489: {
490: PetscFunctionBegin;
492: if (blockSize) PetscAssertPointer(blockSize, 2);
493: if (numBlocks) PetscAssertPointer(numBlocks, 3);
494: if (batchSize) PetscAssertPointer(batchSize, 4);
495: if (numBatches) PetscAssertPointer(numBatches, 5);
496: if (blockSize) *blockSize = fem->blockSize;
497: if (numBlocks) *numBlocks = fem->numBlocks;
498: if (batchSize) *batchSize = fem->batchSize;
499: if (numBatches) *numBatches = fem->numBatches;
500: PetscFunctionReturn(PETSC_SUCCESS);
501: }
503: /*@
504: PetscFEGetBasisSpace - Returns the `PetscSpace` used for the approximation of the solution for the `PetscFE`
506: Not Collective
508: Input Parameter:
509: . fem - The `PetscFE` object
511: Output Parameter:
512: . sp - The `PetscSpace` object
514: Level: intermediate
516: .seealso: `PetscFE`, `PetscSpace`, `PetscFECreate()`
517: @*/
518: PetscErrorCode PetscFEGetBasisSpace(PetscFE fem, PetscSpace *sp)
519: {
520: PetscFunctionBegin;
522: PetscAssertPointer(sp, 2);
523: *sp = fem->basisSpace;
524: PetscFunctionReturn(PETSC_SUCCESS);
525: }
527: /*@
528: PetscFESetBasisSpace - Sets the `PetscSpace` used for the approximation of the solution
530: Not Collective
532: Input Parameters:
533: + fem - The `PetscFE` object
534: - sp - The `PetscSpace` object
536: Level: intermediate
538: Developer Notes:
539: There is `PetscFESetBasisSpace()` but the `PetscFESetDualSpace()`, likely the Basis is unneeded in the function name
541: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscFECreate()`, `PetscFESetDualSpace()`
542: @*/
543: PetscErrorCode PetscFESetBasisSpace(PetscFE fem, PetscSpace sp)
544: {
545: PetscFunctionBegin;
548: PetscCall(PetscSpaceDestroy(&fem->basisSpace));
549: fem->basisSpace = sp;
550: PetscCall(PetscObjectReference((PetscObject)fem->basisSpace));
551: PetscFunctionReturn(PETSC_SUCCESS);
552: }
554: /*@
555: PetscFEGetDualSpace - Returns the `PetscDualSpace` used to define the inner product for a `PetscFE`
557: Not Collective
559: Input Parameter:
560: . fem - The `PetscFE` object
562: Output Parameter:
563: . sp - The `PetscDualSpace` object
565: Level: intermediate
567: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscFECreate()`
568: @*/
569: PetscErrorCode PetscFEGetDualSpace(PetscFE fem, PetscDualSpace *sp)
570: {
571: PetscFunctionBegin;
573: PetscAssertPointer(sp, 2);
574: *sp = fem->dualSpace;
575: PetscFunctionReturn(PETSC_SUCCESS);
576: }
578: /*@
579: PetscFESetDualSpace - Sets the `PetscDualSpace` used to define the inner product
581: Not Collective
583: Input Parameters:
584: + fem - The `PetscFE` object
585: - sp - The `PetscDualSpace` object
587: Level: intermediate
589: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscFECreate()`, `PetscFESetBasisSpace()`
590: @*/
591: PetscErrorCode PetscFESetDualSpace(PetscFE fem, PetscDualSpace sp)
592: {
593: PetscFunctionBegin;
596: PetscCall(PetscDualSpaceDestroy(&fem->dualSpace));
597: fem->dualSpace = sp;
598: PetscCall(PetscObjectReference((PetscObject)fem->dualSpace));
599: PetscFunctionReturn(PETSC_SUCCESS);
600: }
602: /*@
603: PetscFEGetQuadrature - Returns the `PetscQuadrature` used to calculate inner products
605: Not Collective
607: Input Parameter:
608: . fem - The `PetscFE` object
610: Output Parameter:
611: . q - The `PetscQuadrature` object
613: Level: intermediate
615: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`, `PetscFECreate()`
616: @*/
617: PetscErrorCode PetscFEGetQuadrature(PetscFE fem, PetscQuadrature *q)
618: {
619: PetscFunctionBegin;
621: PetscAssertPointer(q, 2);
622: *q = fem->quadrature;
623: PetscFunctionReturn(PETSC_SUCCESS);
624: }
626: /*@
627: PetscFESetQuadrature - Sets the `PetscQuadrature` used to calculate inner products
629: Not Collective
631: Input Parameters:
632: + fem - The `PetscFE` object
633: - q - The `PetscQuadrature` object
635: Level: intermediate
637: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`, `PetscFECreate()`, `PetscFEGetFaceQuadrature()`
638: @*/
639: PetscErrorCode PetscFESetQuadrature(PetscFE fem, PetscQuadrature q)
640: {
641: PetscInt Nc, qNc;
643: PetscFunctionBegin;
645: if (q == fem->quadrature) PetscFunctionReturn(PETSC_SUCCESS);
646: PetscCall(PetscFEGetNumComponents(fem, &Nc));
647: PetscCall(PetscQuadratureGetNumComponents(q, &qNc));
648: PetscCheck(!(qNc != 1) || !(Nc != qNc), PetscObjectComm((PetscObject)fem), PETSC_ERR_ARG_SIZ, "FE components %" PetscInt_FMT " != Quadrature components %" PetscInt_FMT " and non-scalar quadrature", Nc, qNc);
649: PetscCall(PetscTabulationDestroy(&fem->T));
650: PetscCall(PetscTabulationDestroy(&fem->Tc));
651: PetscCall(PetscObjectReference((PetscObject)q));
652: PetscCall(PetscQuadratureDestroy(&fem->quadrature));
653: fem->quadrature = q;
654: PetscFunctionReturn(PETSC_SUCCESS);
655: }
657: /*@
658: PetscFEGetFaceQuadrature - Returns the `PetscQuadrature` used to calculate inner products on faces
660: Not Collective
662: Input Parameter:
663: . fem - The `PetscFE` object
665: Output Parameter:
666: . q - The `PetscQuadrature` object
668: Level: intermediate
670: Developer Notes:
671: There is a special face quadrature but not edge, likely this API would benefit from a refactorization
673: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`, `PetscFECreate()`, `PetscFESetQuadrature()`, `PetscFESetFaceQuadrature()`
674: @*/
675: PetscErrorCode PetscFEGetFaceQuadrature(PetscFE fem, PetscQuadrature *q)
676: {
677: PetscFunctionBegin;
679: PetscAssertPointer(q, 2);
680: *q = fem->faceQuadrature;
681: PetscFunctionReturn(PETSC_SUCCESS);
682: }
684: /*@
685: PetscFESetFaceQuadrature - Sets the `PetscQuadrature` used to calculate inner products on faces
687: Not Collective
689: Input Parameters:
690: + fem - The `PetscFE` object
691: - q - The `PetscQuadrature` object
693: Level: intermediate
695: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`, `PetscFECreate()`, `PetscFESetQuadrature()`
696: @*/
697: PetscErrorCode PetscFESetFaceQuadrature(PetscFE fem, PetscQuadrature q)
698: {
699: PetscInt Nc, qNc;
701: PetscFunctionBegin;
703: if (q == fem->faceQuadrature) PetscFunctionReturn(PETSC_SUCCESS);
704: PetscCall(PetscFEGetNumComponents(fem, &Nc));
705: PetscCall(PetscQuadratureGetNumComponents(q, &qNc));
706: PetscCheck(!(qNc != 1) || !(Nc != qNc), PetscObjectComm((PetscObject)fem), PETSC_ERR_ARG_SIZ, "FE components %" PetscInt_FMT " != Quadrature components %" PetscInt_FMT " and non-scalar quadrature", Nc, qNc);
707: PetscCall(PetscTabulationDestroy(&fem->Tf));
708: PetscCall(PetscObjectReference((PetscObject)q));
709: PetscCall(PetscQuadratureDestroy(&fem->faceQuadrature));
710: fem->faceQuadrature = q;
711: PetscFunctionReturn(PETSC_SUCCESS);
712: }
714: /*@
715: PetscFECopyQuadrature - Copy both volumetric and surface quadrature to a new `PetscFE`
717: Not Collective
719: Input Parameters:
720: + sfe - The `PetscFE` source for the quadratures
721: - tfe - The `PetscFE` target for the quadratures
723: Level: intermediate
725: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`, `PetscFECreate()`, `PetscFESetQuadrature()`, `PetscFESetFaceQuadrature()`
726: @*/
727: PetscErrorCode PetscFECopyQuadrature(PetscFE sfe, PetscFE tfe)
728: {
729: PetscQuadrature q;
731: PetscFunctionBegin;
734: PetscCall(PetscFEGetQuadrature(sfe, &q));
735: PetscCall(PetscFESetQuadrature(tfe, q));
736: PetscCall(PetscFEGetFaceQuadrature(sfe, &q));
737: PetscCall(PetscFESetFaceQuadrature(tfe, q));
738: PetscFunctionReturn(PETSC_SUCCESS);
739: }
741: /*@C
742: PetscFEGetNumDof - Returns the number of dofs (dual basis vectors) associated to mesh points on the reference cell of a given dimension
744: Not Collective
746: Input Parameter:
747: . fem - The `PetscFE` object
749: Output Parameter:
750: . numDof - Array of length `dim` with the number of dofs in each dimension
752: Level: intermediate
754: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscFECreate()`
755: @*/
756: PetscErrorCode PetscFEGetNumDof(PetscFE fem, const PetscInt *numDof[])
757: {
758: PetscFunctionBegin;
760: PetscAssertPointer(numDof, 2);
761: PetscCall(PetscDualSpaceGetNumDof(fem->dualSpace, numDof));
762: PetscFunctionReturn(PETSC_SUCCESS);
763: }
765: /*@C
766: PetscFEGetCellTabulation - Returns the tabulation of the basis functions at the quadrature points on the reference cell
768: Not Collective
770: Input Parameters:
771: + fem - The `PetscFE` object
772: - k - The highest derivative we need to tabulate, very often 1
774: Output Parameter:
775: . T - The basis function values and derivatives at quadrature points
777: Level: intermediate
779: Note:
780: .vb
781: T->T[0] = B[(p*pdim + i)*Nc + c] is the value at point p for basis function i and component c
782: T->T[1] = D[((p*pdim + i)*Nc + c)*dim + d] is the derivative value at point p for basis function i, component c, in direction d
783: T->T[2] = H[(((p*pdim + i)*Nc + c)*dim + d)*dim + e] is the value at point p for basis function i, component c, in directions d and e
784: .ve
786: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscTabulation`, `PetscFECreateTabulation()`, `PetscTabulationDestroy()`
787: @*/
788: PetscErrorCode PetscFEGetCellTabulation(PetscFE fem, PetscInt k, PetscTabulation *T)
789: {
790: PetscInt npoints;
791: const PetscReal *points;
793: PetscFunctionBegin;
795: PetscAssertPointer(T, 3);
796: PetscCall(PetscQuadratureGetData(fem->quadrature, NULL, NULL, &npoints, &points, NULL));
797: if (!fem->T) PetscCall(PetscFECreateTabulation(fem, 1, npoints, points, k, &fem->T));
798: PetscCheck(!fem->T || k <= fem->T->K || (!fem->T->cdim && !fem->T->K), PetscObjectComm((PetscObject)fem), PETSC_ERR_ARG_OUTOFRANGE, "Requested %" PetscInt_FMT " derivatives, but only tabulated %" PetscInt_FMT, k, fem->T->K);
799: *T = fem->T;
800: PetscFunctionReturn(PETSC_SUCCESS);
801: }
803: PetscErrorCode PetscFEExpandFaceQuadrature(PetscFE fe, PetscQuadrature fq, PetscQuadrature *efq)
804: {
805: DM dm;
806: PetscDualSpace sp;
807: const PetscInt *faces;
808: const PetscReal *points, *weights;
809: DMPolytopeType ct;
810: PetscReal *facePoints, *faceWeights;
811: PetscInt dim, cStart, Nf, Nc, Np, order;
813: PetscFunctionBegin;
814: PetscCall(PetscFEGetDualSpace(fe, &sp));
815: PetscCall(PetscDualSpaceGetDM(sp, &dm));
816: PetscCall(DMGetDimension(dm, &dim));
817: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
818: PetscCall(DMPlexGetConeSize(dm, cStart, &Nf));
819: PetscCall(DMPlexGetCone(dm, cStart, &faces));
820: PetscCall(PetscQuadratureGetData(fq, NULL, &Nc, &Np, &points, &weights));
821: PetscCall(PetscMalloc1(Nf * Np * dim, &facePoints));
822: PetscCall(PetscMalloc1(Nf * Np * Nc, &faceWeights));
823: for (PetscInt f = 0; f < Nf; ++f) {
824: const PetscReal xi0[3] = {-1., -1., -1.};
825: PetscReal v0[3], J[9], detJ;
827: PetscCall(DMPlexComputeCellGeometryFEM(dm, faces[f], NULL, v0, J, NULL, &detJ));
828: for (PetscInt q = 0; q < Np; ++q) {
829: CoordinatesRefToReal(dim, dim - 1, xi0, v0, J, &points[q * (dim - 1)], &facePoints[(f * Np + q) * dim]);
830: for (PetscInt c = 0; c < Nc; ++c) faceWeights[(f * Np + q) * Nc + c] = weights[q * Nc + c];
831: }
832: }
833: PetscCall(PetscQuadratureCreate(PetscObjectComm((PetscObject)fq), efq));
834: PetscCall(PetscQuadratureGetCellType(fq, &ct));
835: PetscCall(PetscQuadratureSetCellType(*efq, ct));
836: PetscCall(PetscQuadratureGetOrder(fq, &order));
837: PetscCall(PetscQuadratureSetOrder(*efq, order));
838: PetscCall(PetscQuadratureSetData(*efq, dim, Nc, Nf * Np, facePoints, faceWeights));
839: PetscFunctionReturn(PETSC_SUCCESS);
840: }
842: /*@C
843: PetscFEGetFaceTabulation - Returns the tabulation of the basis functions at the face quadrature points for each face of the reference cell
845: Not Collective
847: Input Parameters:
848: + fem - The `PetscFE` object
849: - k - The highest derivative we need to tabulate, very often 1
851: Output Parameter:
852: . Tf - The basis function values and derivatives at face quadrature points
854: Level: intermediate
856: Note:
857: .vb
858: T->T[0] = Bf[((f*Nq + q)*pdim + i)*Nc + c] is the value at point f,q for basis function i and component c
859: T->T[1] = Df[(((f*Nq + q)*pdim + i)*Nc + c)*dim + d] is the derivative value at point f,q for basis function i, component c, in direction d
860: T->T[2] = Hf[((((f*Nq + q)*pdim + i)*Nc + c)*dim + d)*dim + e] is the value at point f,q for basis function i, component c, in directions d and e
861: .ve
863: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscTabulation`, `PetscFEGetCellTabulation()`, `PetscFECreateTabulation()`, `PetscTabulationDestroy()`
864: @*/
865: PetscErrorCode PetscFEGetFaceTabulation(PetscFE fem, PetscInt k, PetscTabulation *Tf)
866: {
867: PetscFunctionBegin;
869: PetscAssertPointer(Tf, 3);
870: if (!fem->Tf) {
871: PetscQuadrature fq;
873: PetscCall(PetscFEGetFaceQuadrature(fem, &fq));
874: if (fq) {
875: PetscQuadrature efq;
876: const PetscReal *facePoints;
877: PetscInt Np, eNp;
879: PetscCall(PetscFEExpandFaceQuadrature(fem, fq, &efq));
880: PetscCall(PetscQuadratureGetData(fq, NULL, NULL, &Np, NULL, NULL));
881: PetscCall(PetscQuadratureGetData(efq, NULL, NULL, &eNp, &facePoints, NULL));
882: if (PetscDefined(USE_DEBUG)) {
883: PetscDualSpace sp;
884: DM dm;
885: PetscInt cStart, Nf;
887: PetscCall(PetscFEGetDualSpace(fem, &sp));
888: PetscCall(PetscDualSpaceGetDM(sp, &dm));
889: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
890: PetscCall(DMPlexGetConeSize(dm, cStart, &Nf));
891: PetscCheck(Nf == eNp / Np, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Number of faces %" PetscInt_FMT " != %" PetscInt_FMT " number of quadrature replicas", Nf, eNp / Np);
892: }
893: PetscCall(PetscFECreateTabulation(fem, eNp / Np, Np, facePoints, k, &fem->Tf));
894: PetscCall(PetscQuadratureDestroy(&efq));
895: }
896: }
897: PetscCheck(!fem->Tf || k <= fem->Tf->K, PetscObjectComm((PetscObject)fem), PETSC_ERR_ARG_OUTOFRANGE, "Requested %" PetscInt_FMT " derivatives, but only tabulated %" PetscInt_FMT, k, fem->Tf->K);
898: *Tf = fem->Tf;
899: PetscFunctionReturn(PETSC_SUCCESS);
900: }
902: /*@C
903: PetscFEGetFaceCentroidTabulation - Returns the tabulation of the basis functions at the face centroid points
905: Not Collective
907: Input Parameter:
908: . fem - The `PetscFE` object
910: Output Parameter:
911: . Tc - The basis function values at face centroid points
913: Level: intermediate
915: Note:
916: .vb
917: T->T[0] = Bf[(f*pdim + i)*Nc + c] is the value at point f for basis function i and component c
918: .ve
920: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscTabulation`, `PetscFEGetFaceTabulation()`, `PetscFEGetCellTabulation()`, `PetscFECreateTabulation()`, `PetscTabulationDestroy()`
921: @*/
922: PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE fem, PetscTabulation *Tc)
923: {
924: PetscFunctionBegin;
926: PetscAssertPointer(Tc, 2);
927: if (!fem->Tc) {
928: PetscDualSpace sp;
929: DM dm;
930: const PetscInt *cone;
931: PetscReal *centroids;
932: PetscInt dim, numFaces, f;
934: PetscCall(PetscFEGetDualSpace(fem, &sp));
935: PetscCall(PetscDualSpaceGetDM(sp, &dm));
936: PetscCall(DMGetDimension(dm, &dim));
937: PetscCall(DMPlexGetConeSize(dm, 0, &numFaces));
938: PetscCall(DMPlexGetCone(dm, 0, &cone));
939: PetscCall(PetscMalloc1(numFaces * dim, ¢roids));
940: for (f = 0; f < numFaces; ++f) PetscCall(DMPlexComputeCellGeometryFVM(dm, cone[f], NULL, ¢roids[f * dim], NULL));
941: PetscCall(PetscFECreateTabulation(fem, 1, numFaces, centroids, 0, &fem->Tc));
942: PetscCall(PetscFree(centroids));
943: }
944: *Tc = fem->Tc;
945: PetscFunctionReturn(PETSC_SUCCESS);
946: }
948: /*@C
949: PetscFECreateTabulation - Tabulates the basis functions, and perhaps derivatives, at the points provided.
951: Not Collective
953: Input Parameters:
954: + fem - The `PetscFE` object
955: . nrepl - The number of replicas
956: . npoints - The number of tabulation points in a replica
957: . points - The tabulation point coordinates
958: - K - The number of derivatives calculated
960: Output Parameter:
961: . T - The basis function values and derivatives at tabulation points
963: Level: intermediate
965: Note:
966: .vb
967: T->T[0] = B[(p*pdim + i)*Nc + c] is the value at point p for basis function i and component c
968: T->T[1] = D[((p*pdim + i)*Nc + c)*dim + d] is the derivative value at point p for basis function i, component c, in direction d
969: T->T[2] = H[(((p*pdim + i)*Nc + c)*dim + d)*dim + e] is the value at point p for basis
970: T->function i, component c, in directions d and e
971: .ve
973: .seealso: `PetscTabulation`, `PetscFEGetCellTabulation()`, `PetscTabulationDestroy()`
974: @*/
975: PetscErrorCode PetscFECreateTabulation(PetscFE fem, PetscInt nrepl, PetscInt npoints, const PetscReal points[], PetscInt K, PetscTabulation *T)
976: {
977: DM dm;
978: PetscDualSpace Q;
979: PetscInt Nb; /* Dimension of FE space P */
980: PetscInt Nc; /* Field components */
981: PetscInt cdim; /* Reference coordinate dimension */
983: PetscFunctionBegin;
984: if (!npoints || !fem->dualSpace || K < 0) {
985: *T = NULL;
986: PetscFunctionReturn(PETSC_SUCCESS);
987: }
989: PetscAssertPointer(points, 4);
990: PetscAssertPointer(T, 6);
991: PetscCall(PetscFEGetDualSpace(fem, &Q));
992: PetscCall(PetscDualSpaceGetDM(Q, &dm));
993: PetscCall(DMGetDimension(dm, &cdim));
994: PetscCall(PetscDualSpaceGetDimension(Q, &Nb));
995: PetscCall(PetscFEGetNumComponents(fem, &Nc));
996: {
997: PetscSpace sp;
998: PetscInt Nv;
1000: PetscCall(PetscFEGetBasisSpace(fem, &sp));
1001: PetscCall(PetscSpaceGetNumVariables(sp, &Nv));
1002: PetscCheck(cdim == Nv, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Dual space mesh dim %" PetscInt_FMT " != %" PetscInt_FMT " number of space variables", cdim, Nv);
1003: }
1004: PetscCall(PetscMalloc1(1, T));
1005: (*T)->K = !cdim ? 0 : K;
1006: (*T)->Nr = nrepl;
1007: (*T)->Np = npoints;
1008: (*T)->Nb = Nb;
1009: (*T)->Nc = Nc;
1010: (*T)->cdim = cdim;
1011: PetscCall(PetscMalloc1((*T)->K + 1, &(*T)->T));
1012: for (PetscInt k = 0; k <= (*T)->K; ++k) PetscCall(PetscCalloc1(nrepl * npoints * Nb * Nc * PetscPowInt(cdim, k), &(*T)->T[k]));
1013: PetscUseTypeMethod(fem, computetabulation, nrepl * npoints, points, K, *T);
1014: PetscFunctionReturn(PETSC_SUCCESS);
1015: }
1017: /*@C
1018: PetscFEComputeTabulation - Tabulates the basis functions, and perhaps derivatives, at the points provided.
1020: Not Collective
1022: Input Parameters:
1023: + fem - The `PetscFE` object
1024: . npoints - The number of tabulation points
1025: . points - The tabulation point coordinates
1026: . K - The number of derivatives calculated
1027: - T - An existing tabulation object with enough allocated space
1029: Output Parameter:
1030: . T - The basis function values and derivatives at tabulation points
1032: Level: intermediate
1034: Note:
1035: .vb
1036: T->T[0] = B[(p*pdim + i)*Nc + c] is the value at point p for basis function i and component c
1037: T->T[1] = D[((p*pdim + i)*Nc + c)*dim + d] is the derivative value at point p for basis function i, component c, in direction d
1038: T->T[2] = H[(((p*pdim + i)*Nc + c)*dim + d)*dim + e] is the value at point p for basis function i, component c, in directions d and e
1039: .ve
1041: .seealso: `PetscTabulation`, `PetscFEGetCellTabulation()`, `PetscTabulationDestroy()`
1042: @*/
1043: PetscErrorCode PetscFEComputeTabulation(PetscFE fem, PetscInt npoints, const PetscReal points[], PetscInt K, PetscTabulation T)
1044: {
1045: PetscFunctionBeginHot;
1046: if (!npoints || !fem->dualSpace || K < 0) PetscFunctionReturn(PETSC_SUCCESS);
1048: PetscAssertPointer(points, 3);
1049: PetscAssertPointer(T, 5);
1050: if (PetscDefined(USE_DEBUG)) {
1051: DM dm;
1052: PetscDualSpace Q;
1053: PetscInt Nb; /* Dimension of FE space P */
1054: PetscInt Nc; /* Field components */
1055: PetscInt cdim; /* Reference coordinate dimension */
1057: PetscCall(PetscFEGetDualSpace(fem, &Q));
1058: PetscCall(PetscDualSpaceGetDM(Q, &dm));
1059: PetscCall(DMGetDimension(dm, &cdim));
1060: PetscCall(PetscDualSpaceGetDimension(Q, &Nb));
1061: PetscCall(PetscFEGetNumComponents(fem, &Nc));
1062: PetscCheck(T->K == (!cdim ? 0 : K), PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Tabulation K %" PetscInt_FMT " must match requested K %" PetscInt_FMT, T->K, !cdim ? 0 : K);
1063: PetscCheck(T->Nb == Nb, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Tabulation Nb %" PetscInt_FMT " must match requested Nb %" PetscInt_FMT, T->Nb, Nb);
1064: PetscCheck(T->Nc == Nc, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Tabulation Nc %" PetscInt_FMT " must match requested Nc %" PetscInt_FMT, T->Nc, Nc);
1065: PetscCheck(T->cdim == cdim, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Tabulation cdim %" PetscInt_FMT " must match requested cdim %" PetscInt_FMT, T->cdim, cdim);
1066: }
1067: T->Nr = 1;
1068: T->Np = npoints;
1069: PetscUseTypeMethod(fem, computetabulation, npoints, points, K, T);
1070: PetscFunctionReturn(PETSC_SUCCESS);
1071: }
1073: /*@
1074: PetscTabulationDestroy - Frees memory from the associated tabulation.
1076: Not Collective
1078: Input Parameter:
1079: . T - The tabulation
1081: Level: intermediate
1083: .seealso: `PetscTabulation`, `PetscFECreateTabulation()`, `PetscFEGetCellTabulation()`
1084: @*/
1085: PetscErrorCode PetscTabulationDestroy(PetscTabulation *T)
1086: {
1087: PetscFunctionBegin;
1088: PetscAssertPointer(T, 1);
1089: if (!T || !*T) PetscFunctionReturn(PETSC_SUCCESS);
1090: for (PetscInt k = 0; k <= (*T)->K; ++k) PetscCall(PetscFree((*T)->T[k]));
1091: PetscCall(PetscFree((*T)->T));
1092: PetscCall(PetscFree(*T));
1093: *T = NULL;
1094: PetscFunctionReturn(PETSC_SUCCESS);
1095: }
1097: static PetscErrorCode PetscFECreatePointTraceDefault_Internal(PetscFE fe, PetscInt refPoint, PetscFE *trFE)
1098: {
1099: PetscSpace bsp, bsubsp;
1100: PetscDualSpace dsp, dsubsp;
1101: PetscInt dim, depth, numComp, i, j, coneSize, order;
1102: DM dm;
1103: DMLabel label;
1104: PetscReal *xi, *v, *J, detJ;
1105: const char *name;
1106: PetscQuadrature origin, fullQuad, subQuad;
1108: PetscFunctionBegin;
1109: PetscCall(PetscFEGetBasisSpace(fe, &bsp));
1110: PetscCall(PetscFEGetDualSpace(fe, &dsp));
1111: PetscCall(PetscDualSpaceGetDM(dsp, &dm));
1112: PetscCall(DMGetDimension(dm, &dim));
1113: PetscCall(DMPlexGetDepthLabel(dm, &label));
1114: PetscCall(DMLabelGetValue(label, refPoint, &depth));
1115: PetscCall(PetscCalloc1(depth, &xi));
1116: PetscCall(PetscMalloc1(dim, &v));
1117: PetscCall(PetscMalloc1(dim * dim, &J));
1118: for (i = 0; i < depth; i++) xi[i] = 0.;
1119: PetscCall(PetscQuadratureCreate(PETSC_COMM_SELF, &origin));
1120: PetscCall(PetscQuadratureSetData(origin, depth, 0, 1, xi, NULL));
1121: PetscCall(DMPlexComputeCellGeometryFEM(dm, refPoint, origin, v, J, NULL, &detJ));
1122: /* CellGeometryFEM computes the expanded Jacobian, we want the true jacobian */
1123: for (i = 1; i < dim; i++) {
1124: for (j = 0; j < depth; j++) J[i * depth + j] = J[i * dim + j];
1125: }
1126: PetscCall(PetscQuadratureDestroy(&origin));
1127: PetscCall(PetscDualSpaceGetPointSubspace(dsp, refPoint, &dsubsp));
1128: PetscCall(PetscSpaceCreateSubspace(bsp, dsubsp, v, J, NULL, NULL, PETSC_OWN_POINTER, &bsubsp));
1129: PetscCall(PetscSpaceSetUp(bsubsp));
1130: PetscCall(PetscFECreate(PetscObjectComm((PetscObject)fe), trFE));
1131: PetscCall(PetscFESetType(*trFE, PETSCFEBASIC));
1132: PetscCall(PetscFEGetNumComponents(fe, &numComp));
1133: PetscCall(PetscFESetNumComponents(*trFE, numComp));
1134: PetscCall(PetscFESetBasisSpace(*trFE, bsubsp));
1135: PetscCall(PetscFESetDualSpace(*trFE, dsubsp));
1136: PetscCall(PetscObjectGetName((PetscObject)fe, &name));
1137: if (name) PetscCall(PetscFESetName(*trFE, name));
1138: PetscCall(PetscFEGetQuadrature(fe, &fullQuad));
1139: PetscCall(PetscQuadratureGetOrder(fullQuad, &order));
1140: PetscCall(DMPlexGetConeSize(dm, refPoint, &coneSize));
1141: if (coneSize == 2 * depth) PetscCall(PetscDTGaussTensorQuadrature(depth, 1, (order + 2) / 2, -1., 1., &subQuad));
1142: else PetscCall(PetscDTSimplexQuadrature(depth, order, PETSCDTSIMPLEXQUAD_DEFAULT, &subQuad));
1143: PetscCall(PetscFESetQuadrature(*trFE, subQuad));
1144: PetscCall(PetscFESetUp(*trFE));
1145: PetscCall(PetscQuadratureDestroy(&subQuad));
1146: PetscCall(PetscSpaceDestroy(&bsubsp));
1147: PetscFunctionReturn(PETSC_SUCCESS);
1148: }
1150: PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE fe, PetscInt refPoint, PetscFE *trFE)
1151: {
1152: PetscFunctionBegin;
1154: PetscAssertPointer(trFE, 3);
1155: if (fe->ops->createpointtrace) PetscUseTypeMethod(fe, createpointtrace, refPoint, trFE);
1156: else PetscCall(PetscFECreatePointTraceDefault_Internal(fe, refPoint, trFE));
1157: PetscFunctionReturn(PETSC_SUCCESS);
1158: }
1160: PetscErrorCode PetscFECreateHeightTrace(PetscFE fe, PetscInt height, PetscFE *trFE)
1161: {
1162: PetscInt hStart, hEnd;
1163: PetscDualSpace dsp;
1164: DM dm;
1166: PetscFunctionBegin;
1168: PetscAssertPointer(trFE, 3);
1169: *trFE = NULL;
1170: PetscCall(PetscFEGetDualSpace(fe, &dsp));
1171: PetscCall(PetscDualSpaceGetDM(dsp, &dm));
1172: PetscCall(DMPlexGetHeightStratum(dm, height, &hStart, &hEnd));
1173: if (hEnd <= hStart) PetscFunctionReturn(PETSC_SUCCESS);
1174: PetscCall(PetscFECreatePointTrace(fe, hStart, trFE));
1175: PetscFunctionReturn(PETSC_SUCCESS);
1176: }
1178: /*@
1179: PetscFEGetDimension - Get the dimension of the finite element space on a cell
1181: Not Collective
1183: Input Parameter:
1184: . fem - The `PetscFE`
1186: Output Parameter:
1187: . dim - The dimension
1189: Level: intermediate
1191: .seealso: `PetscFE`, `PetscFECreate()`, `PetscSpaceGetDimension()`, `PetscDualSpaceGetDimension()`
1192: @*/
1193: PetscErrorCode PetscFEGetDimension(PetscFE fem, PetscInt *dim)
1194: {
1195: PetscFunctionBegin;
1197: PetscAssertPointer(dim, 2);
1198: PetscTryTypeMethod(fem, getdimension, dim);
1199: PetscFunctionReturn(PETSC_SUCCESS);
1200: }
1202: /*@
1203: PetscFEPushforward - Map the reference element function to real space
1205: Input Parameters:
1206: + fe - The `PetscFE`
1207: . fegeom - The cell geometry
1208: . Nv - The number of function values
1209: - vals - The function values
1211: Output Parameter:
1212: . vals - The transformed function values
1214: Level: advanced
1216: Notes:
1217: This just forwards the call onto `PetscDualSpacePushforward()`.
1219: It only handles transformations when the embedding dimension of the geometry in fegeom is the same as the reference dimension.
1221: .seealso: `PetscFE`, `PetscFEGeom`, `PetscDualSpace`, `PetscDualSpacePushforward()`
1222: @*/
1223: PetscErrorCode PetscFEPushforward(PetscFE fe, PetscFEGeom *fegeom, PetscInt Nv, PetscScalar vals[])
1224: {
1225: PetscFunctionBeginHot;
1226: PetscCall(PetscDualSpacePushforward(fe->dualSpace, fegeom, Nv, fe->numComponents, vals));
1227: PetscFunctionReturn(PETSC_SUCCESS);
1228: }
1230: /*@
1231: PetscFEPushforwardGradient - Map the reference element function gradient to real space
1233: Input Parameters:
1234: + fe - The `PetscFE`
1235: . fegeom - The cell geometry
1236: . Nv - The number of function gradient values
1237: - vals - The function gradient values
1239: Output Parameter:
1240: . vals - The transformed function gradient values
1242: Level: advanced
1244: Notes:
1245: This just forwards the call onto `PetscDualSpacePushforwardGradient()`.
1247: It only handles transformations when the embedding dimension of the geometry in fegeom is the same as the reference dimension.
1249: .seealso: `PetscFE`, `PetscFEGeom`, `PetscDualSpace`, `PetscFEPushforward()`, `PetscDualSpacePushforwardGradient()`, `PetscDualSpacePushforward()`
1250: @*/
1251: PetscErrorCode PetscFEPushforwardGradient(PetscFE fe, PetscFEGeom *fegeom, PetscInt Nv, PetscScalar vals[])
1252: {
1253: PetscFunctionBeginHot;
1254: PetscCall(PetscDualSpacePushforwardGradient(fe->dualSpace, fegeom, Nv, fe->numComponents, vals));
1255: PetscFunctionReturn(PETSC_SUCCESS);
1256: }
1258: /*@
1259: PetscFEPushforwardHessian - Map the reference element function Hessian to real space
1261: Input Parameters:
1262: + fe - The `PetscFE`
1263: . fegeom - The cell geometry
1264: . Nv - The number of function Hessian values
1265: - vals - The function Hessian values
1267: Output Parameter:
1268: . vals - The transformed function Hessian values
1270: Level: advanced
1272: Notes:
1273: This just forwards the call onto `PetscDualSpacePushforwardHessian()`.
1275: It only handles transformations when the embedding dimension of the geometry in fegeom is the same as the reference dimension.
1277: Developer Notes:
1278: It is unclear why all these one line convenience routines are desirable
1280: .seealso: `PetscFE`, `PetscFEGeom`, `PetscDualSpace`, `PetscFEPushforward()`, `PetscDualSpacePushforwardHessian()`, `PetscDualSpacePushforward()`
1281: @*/
1282: PetscErrorCode PetscFEPushforwardHessian(PetscFE fe, PetscFEGeom *fegeom, PetscInt Nv, PetscScalar vals[])
1283: {
1284: PetscFunctionBeginHot;
1285: PetscCall(PetscDualSpacePushforwardHessian(fe->dualSpace, fegeom, Nv, fe->numComponents, vals));
1286: PetscFunctionReturn(PETSC_SUCCESS);
1287: }
1289: /*
1290: Purpose: Compute element vector for chunk of elements
1292: Input:
1293: Sizes:
1294: Ne: number of elements
1295: Nf: number of fields
1296: PetscFE
1297: dim: spatial dimension
1298: Nb: number of basis functions
1299: Nc: number of field components
1300: PetscQuadrature
1301: Nq: number of quadrature points
1303: Geometry:
1304: PetscFEGeom[Ne] possibly *Nq
1305: PetscReal v0s[dim]
1306: PetscReal n[dim]
1307: PetscReal jacobians[dim*dim]
1308: PetscReal jacobianInverses[dim*dim]
1309: PetscReal jacobianDeterminants
1310: FEM:
1311: PetscFE
1312: PetscQuadrature
1313: PetscReal quadPoints[Nq*dim]
1314: PetscReal quadWeights[Nq]
1315: PetscReal basis[Nq*Nb*Nc]
1316: PetscReal basisDer[Nq*Nb*Nc*dim]
1317: PetscScalar coefficients[Ne*Nb*Nc]
1318: PetscScalar elemVec[Ne*Nb*Nc]
1320: Problem:
1321: PetscInt f: the active field
1322: f0, f1
1324: Work Space:
1325: PetscFE
1326: PetscScalar f0[Nq*dim];
1327: PetscScalar f1[Nq*dim*dim];
1328: PetscScalar u[Nc];
1329: PetscScalar gradU[Nc*dim];
1330: PetscReal x[dim];
1331: PetscScalar realSpaceDer[dim];
1333: Purpose: Compute element vector for N_cb batches of elements
1335: Input:
1336: Sizes:
1337: N_cb: Number of serial cell batches
1339: Geometry:
1340: PetscReal v0s[Ne*dim]
1341: PetscReal jacobians[Ne*dim*dim] possibly *Nq
1342: PetscReal jacobianInverses[Ne*dim*dim] possibly *Nq
1343: PetscReal jacobianDeterminants[Ne] possibly *Nq
1344: FEM:
1345: static PetscReal quadPoints[Nq*dim]
1346: static PetscReal quadWeights[Nq]
1347: static PetscReal basis[Nq*Nb*Nc]
1348: static PetscReal basisDer[Nq*Nb*Nc*dim]
1349: PetscScalar coefficients[Ne*Nb*Nc]
1350: PetscScalar elemVec[Ne*Nb*Nc]
1352: ex62.c:
1353: PetscErrorCode PetscFEIntegrateResidualBatch(PetscInt Ne, PetscInt numFields, PetscInt field, PetscQuadrature quad[], const PetscScalar coefficients[],
1354: const PetscReal v0s[], const PetscReal jacobians[], const PetscReal jacobianInverses[], const PetscReal jacobianDeterminants[],
1355: void (*f0_func)(const PetscScalar u[], const PetscScalar gradU[], const PetscReal x[], PetscScalar f0[]),
1356: void (*f1_func)(const PetscScalar u[], const PetscScalar gradU[], const PetscReal x[], PetscScalar f1[]), PetscScalar elemVec[])
1358: ex52.c:
1359: PetscErrorCode IntegrateLaplacianBatchCPU(PetscInt Ne, PetscInt Nb, const PetscScalar coefficients[], const PetscReal jacobianInverses[], const PetscReal jacobianDeterminants[], PetscInt Nq, const PetscReal quadPoints[], const PetscReal quadWeights[], const PetscReal basisTabulation[], const PetscReal basisDerTabulation[], PetscScalar elemVec[], AppCtx *user)
1360: PetscErrorCode IntegrateElasticityBatchCPU(PetscInt Ne, PetscInt Nb, PetscInt Ncomp, const PetscScalar coefficients[], const PetscReal jacobianInverses[], const PetscReal jacobianDeterminants[], PetscInt Nq, const PetscReal quadPoints[], const PetscReal quadWeights[], const PetscReal basisTabulation[], const PetscReal basisDerTabulation[], PetscScalar elemVec[], AppCtx *user)
1362: ex52_integrateElement.cu
1363: __global__ void integrateElementQuadrature(int N_cb, realType *coefficients, realType *jacobianInverses, realType *jacobianDeterminants, realType *elemVec)
1365: PETSC_EXTERN PetscErrorCode IntegrateElementBatchGPU(PetscInt spatial_dim, PetscInt Ne, PetscInt Ncb, PetscInt Nbc, PetscInt Nbl, const PetscScalar coefficients[],
1366: const PetscReal jacobianInverses[], const PetscReal jacobianDeterminants[], PetscScalar elemVec[],
1367: PetscLogEvent event, PetscInt debug, PetscInt pde_op)
1369: ex52_integrateElementOpenCL.c:
1370: PETSC_EXTERN PetscErrorCode IntegrateElementBatchGPU(PetscInt spatial_dim, PetscInt Ne, PetscInt Ncb, PetscInt Nbc, PetscInt N_bl, const PetscScalar coefficients[],
1371: const PetscReal jacobianInverses[], const PetscReal jacobianDeterminants[], PetscScalar elemVec[],
1372: PetscLogEvent event, PetscInt debug, PetscInt pde_op)
1374: __kernel void integrateElementQuadrature(int N_cb, __global float *coefficients, __global float *jacobianInverses, __global float *jacobianDeterminants, __global float *elemVec)
1375: */
1377: /*@
1378: PetscFEIntegrate - Produce the integral for the given field for a chunk of elements by quadrature integration
1380: Not Collective
1382: Input Parameters:
1383: + prob - The `PetscDS` specifying the discretizations and continuum functions
1384: . field - The field being integrated
1385: . Ne - The number of elements in the chunk
1386: . cgeom - The cell geometry for each cell in the chunk
1387: . coefficients - The array of FEM basis coefficients for the elements
1388: . probAux - The `PetscDS` specifying the auxiliary discretizations
1389: - coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1391: Output Parameter:
1392: . integral - the integral for this field
1394: Level: intermediate
1396: Developer Notes:
1397: The function name begins with `PetscFE` and yet the first argument is `PetscDS` and it has no `PetscFE` arguments.
1399: .seealso: `PetscFE`, `PetscDS`, `PetscFEIntegrateResidual()`, `PetscFEIntegrateBd()`
1400: @*/
1401: PetscErrorCode PetscFEIntegrate(PetscDS prob, PetscInt field, PetscInt Ne, PetscFEGeom *cgeom, const PetscScalar coefficients[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscScalar integral[])
1402: {
1403: PetscFE fe;
1405: PetscFunctionBegin;
1407: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fe));
1408: if (fe->ops->integrate) PetscCall((*fe->ops->integrate)(prob, field, Ne, cgeom, coefficients, probAux, coefficientsAux, integral));
1409: PetscFunctionReturn(PETSC_SUCCESS);
1410: }
1412: /*@C
1413: PetscFEIntegrateBd - Produce the integral for the given field for a chunk of elements by quadrature integration
1415: Not Collective
1417: Input Parameters:
1418: + prob - The `PetscDS` specifying the discretizations and continuum functions
1419: . field - The field being integrated
1420: . obj_func - The function to be integrated
1421: . Ne - The number of elements in the chunk
1422: . geom - The face geometry for each face in the chunk
1423: . coefficients - The array of FEM basis coefficients for the elements
1424: . probAux - The `PetscDS` specifying the auxiliary discretizations
1425: - coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1427: Output Parameter:
1428: . integral - the integral for this field
1430: Level: intermediate
1432: Developer Notes:
1433: The function name begins with `PetscFE` and yet the first argument is `PetscDS` and it has no `PetscFE` arguments.
1435: .seealso: `PetscFE`, `PetscDS`, `PetscFEIntegrateResidual()`, `PetscFEIntegrate()`
1436: @*/
1437: PetscErrorCode PetscFEIntegrateBd(PetscDS prob, PetscInt field, void (*obj_func)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), PetscInt Ne, PetscFEGeom *geom, const PetscScalar coefficients[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscScalar integral[])
1438: {
1439: PetscFE fe;
1441: PetscFunctionBegin;
1443: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fe));
1444: if (fe->ops->integratebd) PetscCall((*fe->ops->integratebd)(prob, field, obj_func, Ne, geom, coefficients, probAux, coefficientsAux, integral));
1445: PetscFunctionReturn(PETSC_SUCCESS);
1446: }
1448: /*@
1449: PetscFEIntegrateResidual - Produce the element residual vector for a chunk of elements by quadrature integration
1451: Not Collective
1453: Input Parameters:
1454: + ds - The `PetscDS` specifying the discretizations and continuum functions
1455: . key - The (label+value, field) being integrated
1456: . Ne - The number of elements in the chunk
1457: . cgeom - The cell geometry for each cell in the chunk
1458: . coefficients - The array of FEM basis coefficients for the elements
1459: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1460: . probAux - The `PetscDS` specifying the auxiliary discretizations
1461: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1462: - t - The time
1464: Output Parameter:
1465: . elemVec - the element residual vectors from each element
1467: Level: intermediate
1469: Note:
1470: .vb
1471: Loop over batch of elements (e):
1472: Loop over quadrature points (q):
1473: Make u_q and gradU_q (loops over fields,Nb,Ncomp) and x_q
1474: Call f_0 and f_1
1475: Loop over element vector entries (f,fc --> i):
1476: elemVec[i] += \psi^{fc}_f(q) f0_{fc}(u, \nabla u) + \nabla\psi^{fc}_f(q) \cdot f1_{fc,df}(u, \nabla u)
1477: .ve
1479: .seealso: `PetscFEIntegrateBdResidual()`
1480: @*/
1481: PetscErrorCode PetscFEIntegrateResidual(PetscDS ds, PetscFormKey key, PetscInt Ne, PetscFEGeom *cgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscScalar elemVec[])
1482: {
1483: PetscFE fe;
1485: PetscFunctionBeginHot;
1487: PetscCall(PetscDSGetDiscretization(ds, key.field, (PetscObject *)&fe));
1488: if (fe->ops->integrateresidual) PetscCall((*fe->ops->integrateresidual)(ds, key, Ne, cgeom, coefficients, coefficients_t, probAux, coefficientsAux, t, elemVec));
1489: PetscFunctionReturn(PETSC_SUCCESS);
1490: }
1492: /*@
1493: PetscFEIntegrateBdResidual - Produce the element residual vector for a chunk of elements by quadrature integration over a boundary
1495: Not Collective
1497: Input Parameters:
1498: + ds - The `PetscDS` specifying the discretizations and continuum functions
1499: . wf - The PetscWeakForm object holding the pointwise functions
1500: . key - The (label+value, field) being integrated
1501: . Ne - The number of elements in the chunk
1502: . fgeom - The face geometry for each cell in the chunk
1503: . coefficients - The array of FEM basis coefficients for the elements
1504: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1505: . probAux - The `PetscDS` specifying the auxiliary discretizations
1506: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1507: - t - The time
1509: Output Parameter:
1510: . elemVec - the element residual vectors from each element
1512: Level: intermediate
1514: .seealso: `PetscFEIntegrateResidual()`
1515: @*/
1516: PetscErrorCode PetscFEIntegrateBdResidual(PetscDS ds, PetscWeakForm wf, PetscFormKey key, PetscInt Ne, PetscFEGeom *fgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscScalar elemVec[])
1517: {
1518: PetscFE fe;
1520: PetscFunctionBegin;
1522: PetscCall(PetscDSGetDiscretization(ds, key.field, (PetscObject *)&fe));
1523: if (fe->ops->integratebdresidual) PetscCall((*fe->ops->integratebdresidual)(ds, wf, key, Ne, fgeom, coefficients, coefficients_t, probAux, coefficientsAux, t, elemVec));
1524: PetscFunctionReturn(PETSC_SUCCESS);
1525: }
1527: /*@
1528: PetscFEIntegrateHybridResidual - Produce the element residual vector for a chunk of hybrid element faces by quadrature integration
1530: Not Collective
1532: Input Parameters:
1533: + ds - The `PetscDS` specifying the discretizations and continuum functions
1534: . dsIn - The `PetscDS` specifying the discretizations and continuum functions for input
1535: . key - The (label+value, field) being integrated
1536: . s - The side of the cell being integrated, 0 for negative and 1 for positive
1537: . Ne - The number of elements in the chunk
1538: . fgeom - The face geometry for each cell in the chunk
1539: . cgeom - The cell geometry for each neighbor cell in the chunk
1540: . coefficients - The array of FEM basis coefficients for the elements
1541: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1542: . probAux - The `PetscDS` specifying the auxiliary discretizations
1543: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1544: - t - The time
1546: Output Parameter:
1547: . elemVec - the element residual vectors from each element
1549: Level: developer
1551: .seealso: `PetscFEIntegrateResidual()`
1552: @*/
1553: PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS ds, PetscDS dsIn, PetscFormKey key, PetscInt s, PetscInt Ne, PetscFEGeom *fgeom, PetscFEGeom *cgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscScalar elemVec[])
1554: {
1555: PetscFE fe;
1557: PetscFunctionBegin;
1560: PetscCall(PetscDSGetDiscretization(ds, key.field, (PetscObject *)&fe));
1561: if (fe->ops->integratehybridresidual) PetscCall((*fe->ops->integratehybridresidual)(ds, dsIn, key, s, Ne, fgeom, cgeom, coefficients, coefficients_t, probAux, coefficientsAux, t, elemVec));
1562: PetscFunctionReturn(PETSC_SUCCESS);
1563: }
1565: /*@
1566: PetscFEIntegrateJacobian - Produce the element Jacobian for a chunk of elements by quadrature integration
1568: Not Collective
1570: Input Parameters:
1571: + rds - The `PetscDS` specifying the row discretizations and continuum functions
1572: . cds - The `PetscDS` specifying the column discretizations
1573: . jtype - The type of matrix pointwise functions that should be used
1574: . key - The (label+value, fieldI*Nf + fieldJ) being integrated
1575: . Ne - The number of elements in the chunk
1576: . cgeom - The cell geometry for each cell in the chunk
1577: . coefficients - The array of FEM basis coefficients for the elements for the Jacobian evaluation point
1578: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1579: . dsAux - The `PetscDS` specifying the auxiliary discretizations
1580: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1581: . t - The time
1582: - u_tshift - A multiplier for the dF/du_t term (as opposed to the dF/du term)
1584: Output Parameter:
1585: . elemMat - the element matrices for the Jacobian from each element
1587: Level: intermediate
1589: Note:
1590: .vb
1591: Loop over batch of elements (e):
1592: Loop over element matrix entries (f,fc,g,gc --> i,j):
1593: Loop over quadrature points (q):
1594: Make u_q and gradU_q (loops over fields,Nb,Ncomp)
1595: elemMat[i,j] += \psi^{fc}_f(q) g0_{fc,gc}(u, \nabla u) \phi^{gc}_g(q)
1596: + \psi^{fc}_f(q) \cdot g1_{fc,gc,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1597: + \nabla\psi^{fc}_f(q) \cdot g2_{fc,gc,df}(u, \nabla u) \phi^{gc}_g(q)
1598: + \nabla\psi^{fc}_f(q) \cdot g3_{fc,gc,df,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1599: .ve
1601: .seealso: `PetscFEIntegrateResidual()`
1602: @*/
1603: PetscErrorCode PetscFEIntegrateJacobian(PetscDS rds, PetscDS cds, PetscFEJacobianType jtype, PetscFormKey key, PetscInt Ne, PetscFEGeom *cgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS dsAux, const PetscScalar coefficientsAux[], PetscReal t, PetscReal u_tshift, PetscScalar elemMat[])
1604: {
1605: PetscFE fe;
1606: PetscInt Nf;
1608: PetscFunctionBegin;
1611: PetscCall(PetscDSGetNumFields(rds, &Nf));
1612: PetscCall(PetscDSGetDiscretization(rds, key.field / Nf, (PetscObject *)&fe));
1613: if (fe->ops->integratejacobian) PetscCall((*fe->ops->integratejacobian)(rds, cds, jtype, key, Ne, cgeom, coefficients, coefficients_t, dsAux, coefficientsAux, t, u_tshift, elemMat));
1614: PetscFunctionReturn(PETSC_SUCCESS);
1615: }
1617: /*@
1618: PetscFEIntegrateBdJacobian - Produce the boundary element Jacobian for a chunk of elements by quadrature integration
1620: Not Collective
1622: Input Parameters:
1623: + ds - The `PetscDS` specifying the discretizations and continuum functions
1624: . wf - The PetscWeakForm holding the pointwise functions
1625: . jtype - The type of matrix pointwise functions that should be used
1626: . key - The (label+value, fieldI*Nf + fieldJ) being integrated
1627: . Ne - The number of elements in the chunk
1628: . fgeom - The face geometry for each cell in the chunk
1629: . coefficients - The array of FEM basis coefficients for the elements for the Jacobian evaluation point
1630: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1631: . probAux - The `PetscDS` specifying the auxiliary discretizations
1632: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1633: . t - The time
1634: - u_tshift - A multiplier for the dF/du_t term (as opposed to the dF/du term)
1636: Output Parameter:
1637: . elemMat - the element matrices for the Jacobian from each element
1639: Level: intermediate
1641: Note:
1642: .vb
1643: Loop over batch of elements (e):
1644: Loop over element matrix entries (f,fc,g,gc --> i,j):
1645: Loop over quadrature points (q):
1646: Make u_q and gradU_q (loops over fields,Nb,Ncomp)
1647: elemMat[i,j] += \psi^{fc}_f(q) g0_{fc,gc}(u, \nabla u) \phi^{gc}_g(q)
1648: + \psi^{fc}_f(q) \cdot g1_{fc,gc,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1649: + \nabla\psi^{fc}_f(q) \cdot g2_{fc,gc,df}(u, \nabla u) \phi^{gc}_g(q)
1650: + \nabla\psi^{fc}_f(q) \cdot g3_{fc,gc,df,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1651: .ve
1653: .seealso: `PetscFEIntegrateJacobian()`, `PetscFEIntegrateResidual()`
1654: @*/
1655: PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS ds, PetscWeakForm wf, PetscFEJacobianType jtype, PetscFormKey key, PetscInt Ne, PetscFEGeom *fgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscReal u_tshift, PetscScalar elemMat[])
1656: {
1657: PetscFE fe;
1658: PetscInt Nf;
1660: PetscFunctionBegin;
1662: PetscCall(PetscDSGetNumFields(ds, &Nf));
1663: PetscCall(PetscDSGetDiscretization(ds, key.field / Nf, (PetscObject *)&fe));
1664: if (fe->ops->integratebdjacobian) PetscCall((*fe->ops->integratebdjacobian)(ds, wf, jtype, key, Ne, fgeom, coefficients, coefficients_t, probAux, coefficientsAux, t, u_tshift, elemMat));
1665: PetscFunctionReturn(PETSC_SUCCESS);
1666: }
1668: /*@
1669: PetscFEIntegrateHybridJacobian - Produce the boundary element Jacobian for a chunk of hybrid elements by quadrature integration
1671: Not Collective
1673: Input Parameters:
1674: + ds - The `PetscDS` specifying the discretizations and continuum functions for the output
1675: . dsIn - The `PetscDS` specifying the discretizations and continuum functions for the input
1676: . jtype - The type of matrix pointwise functions that should be used
1677: . key - The (label+value, fieldI*Nf + fieldJ) being integrated
1678: . s - The side of the cell being integrated, 0 for negative and 1 for positive
1679: . Ne - The number of elements in the chunk
1680: . fgeom - The face geometry for each cell in the chunk
1681: . cgeom - The cell geometry for each neighbor cell in the chunk
1682: . coefficients - The array of FEM basis coefficients for the elements for the Jacobian evaluation point
1683: . coefficients_t - The array of FEM basis time derivative coefficients for the elements
1684: . probAux - The `PetscDS` specifying the auxiliary discretizations
1685: . coefficientsAux - The array of FEM auxiliary basis coefficients for the elements
1686: . t - The time
1687: - u_tshift - A multiplier for the dF/du_t term (as opposed to the dF/du term)
1689: Output Parameter:
1690: . elemMat - the element matrices for the Jacobian from each element
1692: Level: developer
1694: Note:
1695: .vb
1696: Loop over batch of elements (e):
1697: Loop over element matrix entries (f,fc,g,gc --> i,j):
1698: Loop over quadrature points (q):
1699: Make u_q and gradU_q (loops over fields,Nb,Ncomp)
1700: elemMat[i,j] += \psi^{fc}_f(q) g0_{fc,gc}(u, \nabla u) \phi^{gc}_g(q)
1701: + \psi^{fc}_f(q) \cdot g1_{fc,gc,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1702: + \nabla\psi^{fc}_f(q) \cdot g2_{fc,gc,df}(u, \nabla u) \phi^{gc}_g(q)
1703: + \nabla\psi^{fc}_f(q) \cdot g3_{fc,gc,df,dg}(u, \nabla u) \nabla\phi^{gc}_g(q)
1704: .ve
1706: .seealso: `PetscFEIntegrateJacobian()`, `PetscFEIntegrateResidual()`
1707: @*/
1708: PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS ds, PetscDS dsIn, PetscFEJacobianType jtype, PetscFormKey key, PetscInt s, PetscInt Ne, PetscFEGeom *fgeom, PetscFEGeom *cgeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscDS probAux, const PetscScalar coefficientsAux[], PetscReal t, PetscReal u_tshift, PetscScalar elemMat[])
1709: {
1710: PetscFE fe;
1711: PetscInt Nf;
1713: PetscFunctionBegin;
1715: PetscCall(PetscDSGetNumFields(ds, &Nf));
1716: PetscCall(PetscDSGetDiscretization(ds, key.field / Nf, (PetscObject *)&fe));
1717: if (fe->ops->integratehybridjacobian) PetscCall((*fe->ops->integratehybridjacobian)(ds, dsIn, jtype, key, s, Ne, fgeom, cgeom, coefficients, coefficients_t, probAux, coefficientsAux, t, u_tshift, elemMat));
1718: PetscFunctionReturn(PETSC_SUCCESS);
1719: }
1721: /*@
1722: PetscFEGetHeightSubspace - Get the subspace of this space for a mesh point of a given height
1724: Input Parameters:
1725: + fe - The finite element space
1726: - height - The height of the `DMPLEX` point
1728: Output Parameter:
1729: . subfe - The subspace of this `PetscFE` space
1731: Level: advanced
1733: Note:
1734: For example, if we want the subspace of this space for a face, we would choose height = 1.
1736: .seealso: `PetscFECreateDefault()`
1737: @*/
1738: PetscErrorCode PetscFEGetHeightSubspace(PetscFE fe, PetscInt height, PetscFE *subfe)
1739: {
1740: PetscSpace P, subP;
1741: PetscDualSpace Q, subQ;
1742: PetscQuadrature subq;
1743: PetscInt dim, Nc;
1745: PetscFunctionBegin;
1747: PetscAssertPointer(subfe, 3);
1748: if (height == 0) {
1749: *subfe = fe;
1750: PetscFunctionReturn(PETSC_SUCCESS);
1751: }
1752: PetscCall(PetscFEGetBasisSpace(fe, &P));
1753: PetscCall(PetscFEGetDualSpace(fe, &Q));
1754: PetscCall(PetscFEGetNumComponents(fe, &Nc));
1755: PetscCall(PetscFEGetFaceQuadrature(fe, &subq));
1756: PetscCall(PetscDualSpaceGetDimension(Q, &dim));
1757: PetscCheck(height <= dim && height >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Asked for space at height %" PetscInt_FMT " for dimension %" PetscInt_FMT " space", height, dim);
1758: if (!fe->subspaces) PetscCall(PetscCalloc1(dim, &fe->subspaces));
1759: if (height <= dim) {
1760: if (!fe->subspaces[height - 1]) {
1761: PetscFE sub = NULL;
1762: const char *name;
1764: PetscCall(PetscSpaceGetHeightSubspace(P, height, &subP));
1765: PetscCall(PetscDualSpaceGetHeightSubspace(Q, height, &subQ));
1766: if (subQ) {
1767: PetscCall(PetscObjectReference((PetscObject)subP));
1768: PetscCall(PetscObjectReference((PetscObject)subQ));
1769: PetscCall(PetscObjectReference((PetscObject)subq));
1770: PetscCall(PetscFECreateFromSpaces(subP, subQ, subq, NULL, &sub));
1771: }
1772: if (sub) {
1773: PetscCall(PetscObjectGetName((PetscObject)fe, &name));
1774: if (name) PetscCall(PetscFESetName(sub, name));
1775: }
1776: fe->subspaces[height - 1] = sub;
1777: }
1778: *subfe = fe->subspaces[height - 1];
1779: } else {
1780: *subfe = NULL;
1781: }
1782: PetscFunctionReturn(PETSC_SUCCESS);
1783: }
1785: /*@
1786: PetscFERefine - Create a "refined" `PetscFE` object that refines the reference cell into
1787: smaller copies.
1789: Collective
1791: Input Parameter:
1792: . fe - The initial `PetscFE`
1794: Output Parameter:
1795: . feRef - The refined `PetscFE`
1797: Level: advanced
1799: Notes:
1800: This is typically used to generate a preconditioner for a higher order method from a lower order method on a
1801: refined mesh having the same number of dofs (but more sparsity). It is also used to create an
1802: interpolation between regularly refined meshes.
1804: .seealso: `PetscFEType`, `PetscFECreate()`, `PetscFESetType()`
1805: @*/
1806: PetscErrorCode PetscFERefine(PetscFE fe, PetscFE *feRef)
1807: {
1808: PetscSpace P, Pref;
1809: PetscDualSpace Q, Qref;
1810: DM K, Kref;
1811: PetscQuadrature q, qref;
1812: const PetscReal *v0, *jac;
1813: PetscInt numComp, numSubelements;
1814: PetscInt cStart, cEnd, c;
1815: PetscDualSpace *cellSpaces;
1817: PetscFunctionBegin;
1818: PetscCall(PetscFEGetBasisSpace(fe, &P));
1819: PetscCall(PetscFEGetDualSpace(fe, &Q));
1820: PetscCall(PetscFEGetQuadrature(fe, &q));
1821: PetscCall(PetscDualSpaceGetDM(Q, &K));
1822: /* Create space */
1823: PetscCall(PetscObjectReference((PetscObject)P));
1824: Pref = P;
1825: /* Create dual space */
1826: PetscCall(PetscDualSpaceDuplicate(Q, &Qref));
1827: PetscCall(PetscDualSpaceSetType(Qref, PETSCDUALSPACEREFINED));
1828: PetscCall(DMRefine(K, PetscObjectComm((PetscObject)fe), &Kref));
1829: PetscCall(DMGetCoordinatesLocalSetUp(Kref));
1830: PetscCall(PetscDualSpaceSetDM(Qref, Kref));
1831: PetscCall(DMPlexGetHeightStratum(Kref, 0, &cStart, &cEnd));
1832: PetscCall(PetscMalloc1(cEnd - cStart, &cellSpaces));
1833: /* TODO: fix for non-uniform refinement */
1834: for (c = 0; c < cEnd - cStart; c++) cellSpaces[c] = Q;
1835: PetscCall(PetscDualSpaceRefinedSetCellSpaces(Qref, cellSpaces));
1836: PetscCall(PetscFree(cellSpaces));
1837: PetscCall(DMDestroy(&Kref));
1838: PetscCall(PetscDualSpaceSetUp(Qref));
1839: /* Create element */
1840: PetscCall(PetscFECreate(PetscObjectComm((PetscObject)fe), feRef));
1841: PetscCall(PetscFESetType(*feRef, PETSCFECOMPOSITE));
1842: PetscCall(PetscFESetBasisSpace(*feRef, Pref));
1843: PetscCall(PetscFESetDualSpace(*feRef, Qref));
1844: PetscCall(PetscFEGetNumComponents(fe, &numComp));
1845: PetscCall(PetscFESetNumComponents(*feRef, numComp));
1846: PetscCall(PetscFESetUp(*feRef));
1847: PetscCall(PetscSpaceDestroy(&Pref));
1848: PetscCall(PetscDualSpaceDestroy(&Qref));
1849: /* Create quadrature */
1850: PetscCall(PetscFECompositeGetMapping(*feRef, &numSubelements, &v0, &jac, NULL));
1851: PetscCall(PetscQuadratureExpandComposite(q, numSubelements, v0, jac, &qref));
1852: PetscCall(PetscFESetQuadrature(*feRef, qref));
1853: PetscCall(PetscQuadratureDestroy(&qref));
1854: PetscFunctionReturn(PETSC_SUCCESS);
1855: }
1857: static PetscErrorCode PetscFESetDefaultName_Private(PetscFE fe)
1858: {
1859: PetscSpace P;
1860: PetscDualSpace Q;
1861: DM K;
1862: DMPolytopeType ct;
1863: PetscInt degree;
1864: char name[64];
1866: PetscFunctionBegin;
1867: PetscCall(PetscFEGetBasisSpace(fe, &P));
1868: PetscCall(PetscSpaceGetDegree(P, °ree, NULL));
1869: PetscCall(PetscFEGetDualSpace(fe, &Q));
1870: PetscCall(PetscDualSpaceGetDM(Q, &K));
1871: PetscCall(DMPlexGetCellType(K, 0, &ct));
1872: switch (ct) {
1873: case DM_POLYTOPE_SEGMENT:
1874: case DM_POLYTOPE_POINT_PRISM_TENSOR:
1875: case DM_POLYTOPE_QUADRILATERAL:
1876: case DM_POLYTOPE_SEG_PRISM_TENSOR:
1877: case DM_POLYTOPE_HEXAHEDRON:
1878: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
1879: PetscCall(PetscSNPrintf(name, sizeof(name), "Q%" PetscInt_FMT, degree));
1880: break;
1881: case DM_POLYTOPE_TRIANGLE:
1882: case DM_POLYTOPE_TETRAHEDRON:
1883: PetscCall(PetscSNPrintf(name, sizeof(name), "P%" PetscInt_FMT, degree));
1884: break;
1885: case DM_POLYTOPE_TRI_PRISM:
1886: case DM_POLYTOPE_TRI_PRISM_TENSOR:
1887: PetscCall(PetscSNPrintf(name, sizeof(name), "P%" PetscInt_FMT "xQ%" PetscInt_FMT, degree, degree));
1888: break;
1889: default:
1890: PetscCall(PetscSNPrintf(name, sizeof(name), "FE"));
1891: }
1892: PetscCall(PetscFESetName(fe, name));
1893: PetscFunctionReturn(PETSC_SUCCESS);
1894: }
1896: /*@
1897: PetscFECreateFromSpaces - Create a `PetscFE` from the basis and dual spaces
1899: Collective
1901: Input Parameters:
1902: + P - The basis space
1903: . Q - The dual space
1904: . q - The cell quadrature
1905: - fq - The face quadrature
1907: Output Parameter:
1908: . fem - The `PetscFE` object
1910: Level: beginner
1912: Note:
1913: The `PetscFE` takes ownership of these spaces by calling destroy on each. They should not be used after this call, and for borrowed references from `PetscFEGetSpace()` and the like, the caller must use `PetscObjectReference` before this call.
1915: .seealso: `PetscFE`, `PetscSpace`, `PetscDualSpace`, `PetscQuadrature`,
1916: `PetscFECreateLagrangeByCell()`, `PetscFECreateDefault()`, `PetscFECreateByCell()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
1917: @*/
1918: PetscErrorCode PetscFECreateFromSpaces(PetscSpace P, PetscDualSpace Q, PetscQuadrature q, PetscQuadrature fq, PetscFE *fem)
1919: {
1920: PetscInt Nc;
1921: PetscInt p_Ns = -1, p_Nc = -1, q_Ns = -1, q_Nc = -1;
1922: PetscBool p_is_uniform_sum = PETSC_FALSE, p_interleave_basis = PETSC_FALSE, p_interleave_components = PETSC_FALSE;
1923: PetscBool q_is_uniform_sum = PETSC_FALSE, q_interleave_basis = PETSC_FALSE, q_interleave_components = PETSC_FALSE;
1924: const char *prefix;
1926: PetscFunctionBegin;
1927: PetscCall(PetscObjectTypeCompare((PetscObject)P, PETSCSPACESUM, &p_is_uniform_sum));
1928: if (p_is_uniform_sum) {
1929: PetscSpace subsp_0 = NULL;
1930: PetscCall(PetscSpaceSumGetNumSubspaces(P, &p_Ns));
1931: PetscCall(PetscSpaceGetNumComponents(P, &p_Nc));
1932: PetscCall(PetscSpaceSumGetConcatenate(P, &p_is_uniform_sum));
1933: PetscCall(PetscSpaceSumGetInterleave(P, &p_interleave_basis, &p_interleave_components));
1934: for (PetscInt s = 0; s < p_Ns; s++) {
1935: PetscSpace subsp;
1937: PetscCall(PetscSpaceSumGetSubspace(P, s, &subsp));
1938: if (!s) {
1939: subsp_0 = subsp;
1940: } else if (subsp != subsp_0) {
1941: p_is_uniform_sum = PETSC_FALSE;
1942: }
1943: }
1944: }
1945: PetscCall(PetscObjectTypeCompare((PetscObject)Q, PETSCDUALSPACESUM, &q_is_uniform_sum));
1946: if (q_is_uniform_sum) {
1947: PetscDualSpace subsp_0 = NULL;
1948: PetscCall(PetscDualSpaceSumGetNumSubspaces(Q, &q_Ns));
1949: PetscCall(PetscDualSpaceGetNumComponents(Q, &q_Nc));
1950: PetscCall(PetscDualSpaceSumGetConcatenate(Q, &q_is_uniform_sum));
1951: PetscCall(PetscDualSpaceSumGetInterleave(Q, &q_interleave_basis, &q_interleave_components));
1952: for (PetscInt s = 0; s < q_Ns; s++) {
1953: PetscDualSpace subsp;
1955: PetscCall(PetscDualSpaceSumGetSubspace(Q, s, &subsp));
1956: if (!s) {
1957: subsp_0 = subsp;
1958: } else if (subsp != subsp_0) {
1959: q_is_uniform_sum = PETSC_FALSE;
1960: }
1961: }
1962: }
1963: if (p_is_uniform_sum && q_is_uniform_sum && (p_interleave_basis == q_interleave_basis) && (p_interleave_components == q_interleave_components) && (p_Ns == q_Ns) && (p_Nc == q_Nc)) {
1964: PetscSpace scalar_space;
1965: PetscDualSpace scalar_dspace;
1966: PetscFE scalar_fe;
1968: PetscCall(PetscSpaceSumGetSubspace(P, 0, &scalar_space));
1969: PetscCall(PetscDualSpaceSumGetSubspace(Q, 0, &scalar_dspace));
1970: PetscCall(PetscObjectReference((PetscObject)scalar_space));
1971: PetscCall(PetscObjectReference((PetscObject)scalar_dspace));
1972: PetscCall(PetscObjectReference((PetscObject)q));
1973: PetscCall(PetscObjectReference((PetscObject)fq));
1974: PetscCall(PetscFECreateFromSpaces(scalar_space, scalar_dspace, q, fq, &scalar_fe));
1975: PetscCall(PetscFECreateVector(scalar_fe, p_Ns, p_interleave_basis, p_interleave_components, fem));
1976: PetscCall(PetscFEDestroy(&scalar_fe));
1977: } else {
1978: PetscCall(PetscFECreate(PetscObjectComm((PetscObject)P), fem));
1979: PetscCall(PetscFESetType(*fem, PETSCFEBASIC));
1980: }
1981: PetscCall(PetscSpaceGetNumComponents(P, &Nc));
1982: PetscCall(PetscFESetNumComponents(*fem, Nc));
1983: PetscCall(PetscFESetBasisSpace(*fem, P));
1984: PetscCall(PetscFESetDualSpace(*fem, Q));
1985: PetscCall(PetscObjectGetOptionsPrefix((PetscObject)P, &prefix));
1986: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)*fem, prefix));
1987: PetscCall(PetscFESetUp(*fem));
1988: PetscCall(PetscSpaceDestroy(&P));
1989: PetscCall(PetscDualSpaceDestroy(&Q));
1990: PetscCall(PetscFESetQuadrature(*fem, q));
1991: PetscCall(PetscFESetFaceQuadrature(*fem, fq));
1992: PetscCall(PetscQuadratureDestroy(&q));
1993: PetscCall(PetscQuadratureDestroy(&fq));
1994: PetscCall(PetscFESetDefaultName_Private(*fem));
1995: PetscFunctionReturn(PETSC_SUCCESS);
1996: }
1998: static PetscErrorCode PetscFECreate_Internal(MPI_Comm comm, PetscInt dim, PetscInt Nc, DMPolytopeType ct, const char prefix[], PetscInt degree, PetscInt qorder, PetscBool setFromOptions, PetscFE *fem)
1999: {
2000: DM K;
2001: PetscSpace P;
2002: PetscDualSpace Q;
2003: PetscQuadrature q, fq;
2004: PetscBool tensor;
2006: PetscFunctionBegin;
2007: if (prefix) PetscAssertPointer(prefix, 5);
2008: PetscAssertPointer(fem, 9);
2009: switch (ct) {
2010: case DM_POLYTOPE_SEGMENT:
2011: case DM_POLYTOPE_POINT_PRISM_TENSOR:
2012: case DM_POLYTOPE_QUADRILATERAL:
2013: case DM_POLYTOPE_SEG_PRISM_TENSOR:
2014: case DM_POLYTOPE_HEXAHEDRON:
2015: case DM_POLYTOPE_QUAD_PRISM_TENSOR:
2016: tensor = PETSC_TRUE;
2017: break;
2018: default:
2019: tensor = PETSC_FALSE;
2020: }
2021: /* Create space */
2022: PetscCall(PetscSpaceCreate(comm, &P));
2023: PetscCall(PetscSpaceSetType(P, PETSCSPACEPOLYNOMIAL));
2024: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)P, prefix));
2025: PetscCall(PetscSpacePolynomialSetTensor(P, tensor));
2026: PetscCall(PetscSpaceSetNumComponents(P, Nc));
2027: PetscCall(PetscSpaceSetNumVariables(P, dim));
2028: if (degree >= 0) {
2029: PetscCall(PetscSpaceSetDegree(P, degree, PETSC_DETERMINE));
2030: if (ct == DM_POLYTOPE_TRI_PRISM || ct == DM_POLYTOPE_TRI_PRISM_TENSOR) {
2031: PetscSpace Pend, Pside;
2033: PetscCall(PetscSpaceSetNumComponents(P, 1));
2034: PetscCall(PetscSpaceCreate(comm, &Pend));
2035: PetscCall(PetscSpaceSetType(Pend, PETSCSPACEPOLYNOMIAL));
2036: PetscCall(PetscSpacePolynomialSetTensor(Pend, PETSC_FALSE));
2037: PetscCall(PetscSpaceSetNumComponents(Pend, 1));
2038: PetscCall(PetscSpaceSetNumVariables(Pend, dim - 1));
2039: PetscCall(PetscSpaceSetDegree(Pend, degree, PETSC_DETERMINE));
2040: PetscCall(PetscSpaceCreate(comm, &Pside));
2041: PetscCall(PetscSpaceSetType(Pside, PETSCSPACEPOLYNOMIAL));
2042: PetscCall(PetscSpacePolynomialSetTensor(Pside, PETSC_FALSE));
2043: PetscCall(PetscSpaceSetNumComponents(Pside, 1));
2044: PetscCall(PetscSpaceSetNumVariables(Pside, 1));
2045: PetscCall(PetscSpaceSetDegree(Pside, degree, PETSC_DETERMINE));
2046: PetscCall(PetscSpaceSetType(P, PETSCSPACETENSOR));
2047: PetscCall(PetscSpaceTensorSetNumSubspaces(P, 2));
2048: PetscCall(PetscSpaceTensorSetSubspace(P, 0, Pend));
2049: PetscCall(PetscSpaceTensorSetSubspace(P, 1, Pside));
2050: PetscCall(PetscSpaceDestroy(&Pend));
2051: PetscCall(PetscSpaceDestroy(&Pside));
2053: if (Nc > 1) {
2054: PetscSpace scalar_P = P;
2056: PetscCall(PetscSpaceCreate(comm, &P));
2057: PetscCall(PetscSpaceSetNumVariables(P, dim));
2058: PetscCall(PetscSpaceSetNumComponents(P, Nc));
2059: PetscCall(PetscSpaceSetType(P, PETSCSPACESUM));
2060: PetscCall(PetscSpaceSumSetNumSubspaces(P, Nc));
2061: PetscCall(PetscSpaceSumSetConcatenate(P, PETSC_TRUE));
2062: PetscCall(PetscSpaceSumSetInterleave(P, PETSC_TRUE, PETSC_FALSE));
2063: for (PetscInt i = 0; i < Nc; i++) PetscCall(PetscSpaceSumSetSubspace(P, i, scalar_P));
2064: PetscCall(PetscSpaceDestroy(&scalar_P));
2065: }
2066: }
2067: }
2068: if (setFromOptions) PetscCall(PetscSpaceSetFromOptions(P));
2069: PetscCall(PetscSpaceSetUp(P));
2070: PetscCall(PetscSpaceGetDegree(P, °ree, NULL));
2071: PetscCall(PetscSpacePolynomialGetTensor(P, &tensor));
2072: PetscCall(PetscSpaceGetNumComponents(P, &Nc));
2073: /* Create dual space */
2074: PetscCall(PetscDualSpaceCreate(comm, &Q));
2075: PetscCall(PetscDualSpaceSetType(Q, PETSCDUALSPACELAGRANGE));
2076: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)Q, prefix));
2077: PetscCall(DMPlexCreateReferenceCell(PETSC_COMM_SELF, ct, &K));
2078: PetscCall(PetscDualSpaceSetDM(Q, K));
2079: PetscCall(DMDestroy(&K));
2080: PetscCall(PetscDualSpaceSetNumComponents(Q, Nc));
2081: PetscCall(PetscDualSpaceSetOrder(Q, degree));
2082: PetscCall(PetscDualSpaceLagrangeSetTensor(Q, (tensor || (ct == DM_POLYTOPE_TRI_PRISM)) ? PETSC_TRUE : PETSC_FALSE));
2083: if (setFromOptions) PetscCall(PetscDualSpaceSetFromOptions(Q));
2084: PetscCall(PetscDualSpaceSetUp(Q));
2085: /* Create quadrature */
2086: PetscDTSimplexQuadratureType qtype = PETSCDTSIMPLEXQUAD_DEFAULT;
2088: qorder = qorder >= 0 ? qorder : degree;
2089: if (setFromOptions) {
2090: PetscObjectOptionsBegin((PetscObject)P);
2091: PetscCall(PetscOptionsBoundedInt("-petscfe_default_quadrature_order", "Quadrature order is one less than quadrature points per edge", "PetscFECreateDefault", qorder, &qorder, NULL, 0));
2092: PetscCall(PetscOptionsEnum("-petscfe_default_quadrature_type", "Simplex quadrature type", "PetscDTSimplexQuadratureType", PetscDTSimplexQuadratureTypes, (PetscEnum)qtype, (PetscEnum *)&qtype, NULL));
2093: PetscOptionsEnd();
2094: }
2095: PetscCall(PetscDTCreateQuadratureByCell(ct, qorder, qtype, &q, &fq));
2096: /* Create finite element */
2097: PetscCall(PetscFECreateFromSpaces(P, Q, q, fq, fem));
2098: if (setFromOptions) PetscCall(PetscFESetFromOptions(*fem));
2099: PetscFunctionReturn(PETSC_SUCCESS);
2100: }
2102: /*@
2103: PetscFECreateDefault - Create a `PetscFE` for basic FEM computation
2105: Collective
2107: Input Parameters:
2108: + comm - The MPI comm
2109: . dim - The spatial dimension
2110: . Nc - The number of components
2111: . isSimplex - Flag for simplex reference cell, otherwise its a tensor product
2112: . prefix - The options prefix, or `NULL`
2113: - qorder - The quadrature order or `PETSC_DETERMINE` to use `PetscSpace` polynomial degree
2115: Output Parameter:
2116: . fem - The `PetscFE` object
2118: Level: beginner
2120: Note:
2121: Each subobject is SetFromOption() during creation, so that the object may be customized from the command line, using the prefix specified above. See the links below for the particular options available.
2123: .seealso: `PetscFECreateLagrange()`, `PetscFECreateByCell()`, `PetscSpaceSetFromOptions()`, `PetscDualSpaceSetFromOptions()`, `PetscFESetFromOptions()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2124: @*/
2125: PetscErrorCode PetscFECreateDefault(MPI_Comm comm, PetscInt dim, PetscInt Nc, PetscBool isSimplex, const char prefix[], PetscInt qorder, PetscFE *fem)
2126: {
2127: PetscFunctionBegin;
2128: PetscCall(PetscFECreate_Internal(comm, dim, Nc, DMPolytopeTypeSimpleShape(dim, isSimplex), prefix, PETSC_DECIDE, qorder, PETSC_TRUE, fem));
2129: PetscFunctionReturn(PETSC_SUCCESS);
2130: }
2132: /*@
2133: PetscFECreateByCell - Create a `PetscFE` for basic FEM computation
2135: Collective
2137: Input Parameters:
2138: + comm - The MPI comm
2139: . dim - The spatial dimension
2140: . Nc - The number of components
2141: . ct - The celltype of the reference cell
2142: . prefix - The options prefix, or `NULL`
2143: - qorder - The quadrature order or `PETSC_DETERMINE` to use `PetscSpace` polynomial degree
2145: Output Parameter:
2146: . fem - The `PetscFE` object
2148: Level: beginner
2150: Note:
2151: Each subobject is SetFromOption() during creation, so that the object may be customized from the command line, using the prefix specified above. See the links below for the particular options available.
2153: .seealso: `PetscFECreateDefault()`, `PetscFECreateLagrange()`, `PetscSpaceSetFromOptions()`, `PetscDualSpaceSetFromOptions()`, `PetscFESetFromOptions()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2154: @*/
2155: PetscErrorCode PetscFECreateByCell(MPI_Comm comm, PetscInt dim, PetscInt Nc, DMPolytopeType ct, const char prefix[], PetscInt qorder, PetscFE *fem)
2156: {
2157: PetscFunctionBegin;
2158: PetscCall(PetscFECreate_Internal(comm, dim, Nc, ct, prefix, PETSC_DECIDE, qorder, PETSC_TRUE, fem));
2159: PetscFunctionReturn(PETSC_SUCCESS);
2160: }
2162: /*@
2163: PetscFECreateLagrange - Create a `PetscFE` for the basic Lagrange space of degree k
2165: Collective
2167: Input Parameters:
2168: + comm - The MPI comm
2169: . dim - The spatial dimension
2170: . Nc - The number of components
2171: . isSimplex - Flag for simplex reference cell, otherwise its a tensor product
2172: . k - The degree k of the space
2173: - qorder - The quadrature order or `PETSC_DETERMINE` to use `PetscSpace` polynomial degree
2175: Output Parameter:
2176: . fem - The `PetscFE` object
2178: Level: beginner
2180: Note:
2181: For simplices, this element is the space of maximum polynomial degree k, otherwise it is a tensor product of 1D polynomials, each with maximal degree k.
2183: .seealso: `PetscFECreateLagrangeByCell()`, `PetscFECreateDefault()`, `PetscFECreateByCell()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2184: @*/
2185: PetscErrorCode PetscFECreateLagrange(MPI_Comm comm, PetscInt dim, PetscInt Nc, PetscBool isSimplex, PetscInt k, PetscInt qorder, PetscFE *fem)
2186: {
2187: PetscFunctionBegin;
2188: PetscCall(PetscFECreate_Internal(comm, dim, Nc, DMPolytopeTypeSimpleShape(dim, isSimplex), NULL, k, qorder, PETSC_FALSE, fem));
2189: PetscFunctionReturn(PETSC_SUCCESS);
2190: }
2192: /*@
2193: PetscFECreateLagrangeByCell - Create a `PetscFE` for the basic Lagrange space of degree k
2195: Collective
2197: Input Parameters:
2198: + comm - The MPI comm
2199: . dim - The spatial dimension
2200: . Nc - The number of components
2201: . ct - The celltype of the reference cell
2202: . k - The degree k of the space
2203: - qorder - The quadrature order or `PETSC_DETERMINE` to use `PetscSpace` polynomial degree
2205: Output Parameter:
2206: . fem - The `PetscFE` object
2208: Level: beginner
2210: Note:
2211: For simplices, this element is the space of maximum polynomial degree k, otherwise it is a tensor product of 1D polynomials, each with maximal degree k.
2213: .seealso: `PetscFECreateLagrange()`, `PetscFECreateDefault()`, `PetscFECreateByCell()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2214: @*/
2215: PetscErrorCode PetscFECreateLagrangeByCell(MPI_Comm comm, PetscInt dim, PetscInt Nc, DMPolytopeType ct, PetscInt k, PetscInt qorder, PetscFE *fem)
2216: {
2217: PetscFunctionBegin;
2218: PetscCall(PetscFECreate_Internal(comm, dim, Nc, ct, NULL, k, qorder, PETSC_FALSE, fem));
2219: PetscFunctionReturn(PETSC_SUCCESS);
2220: }
2222: /*@
2223: PetscFELimitDegree - Copy a `PetscFE` but limit the degree to be in the given range
2225: Collective
2227: Input Parameters:
2228: + fe - The `PetscFE`
2229: . minDegree - The minimum degree, or `PETSC_DETERMINE` for no limit
2230: - maxDegree - The maximum degree, or `PETSC_DETERMINE` for no limit
2232: Output Parameter:
2233: . newfe - The `PetscFE` object
2235: Level: advanced
2237: Note:
2238: This currently only works for Lagrange elements.
2240: .seealso: `PetscFECreateLagrange()`, `PetscFECreateDefault()`, `PetscFECreateByCell()`, `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2241: @*/
2242: PetscErrorCode PetscFELimitDegree(PetscFE fe, PetscInt minDegree, PetscInt maxDegree, PetscFE *newfe)
2243: {
2244: PetscDualSpace Q;
2245: PetscBool islag, issum;
2246: PetscInt oldk = 0, k;
2248: PetscFunctionBegin;
2249: PetscCall(PetscFEGetDualSpace(fe, &Q));
2250: PetscCall(PetscObjectTypeCompare((PetscObject)Q, PETSCDUALSPACELAGRANGE, &islag));
2251: PetscCall(PetscObjectTypeCompare((PetscObject)Q, PETSCDUALSPACESUM, &issum));
2252: if (islag) {
2253: PetscCall(PetscDualSpaceGetOrder(Q, &oldk));
2254: } else if (issum) {
2255: PetscDualSpace subQ;
2257: PetscCall(PetscDualSpaceSumGetSubspace(Q, 0, &subQ));
2258: PetscCall(PetscDualSpaceGetOrder(subQ, &oldk));
2259: } else {
2260: PetscCall(PetscObjectReference((PetscObject)fe));
2261: *newfe = fe;
2262: PetscFunctionReturn(PETSC_SUCCESS);
2263: }
2264: k = oldk;
2265: if (minDegree >= 0) k = PetscMax(k, minDegree);
2266: if (maxDegree >= 0) k = PetscMin(k, maxDegree);
2267: if (k != oldk) {
2268: DM K;
2269: PetscSpace P;
2270: PetscQuadrature q;
2271: DMPolytopeType ct;
2272: PetscInt dim, Nc;
2274: PetscCall(PetscFEGetBasisSpace(fe, &P));
2275: PetscCall(PetscSpaceGetNumVariables(P, &dim));
2276: PetscCall(PetscSpaceGetNumComponents(P, &Nc));
2277: PetscCall(PetscDualSpaceGetDM(Q, &K));
2278: PetscCall(DMPlexGetCellType(K, 0, &ct));
2279: PetscCall(PetscFECreateLagrangeByCell(PetscObjectComm((PetscObject)fe), dim, Nc, ct, k, PETSC_DETERMINE, newfe));
2280: PetscCall(PetscFEGetQuadrature(fe, &q));
2281: PetscCall(PetscFESetQuadrature(*newfe, q));
2282: } else {
2283: PetscCall(PetscObjectReference((PetscObject)fe));
2284: *newfe = fe;
2285: }
2286: PetscFunctionReturn(PETSC_SUCCESS);
2287: }
2289: /*@
2290: PetscFECreateBrokenElement - Create a discontinuous version of the input `PetscFE`
2292: Collective
2294: Input Parameters:
2295: . cgfe - The continuous `PetscFE` object
2297: Output Parameter:
2298: . dgfe - The discontinuous `PetscFE` object
2300: Level: advanced
2302: Note:
2303: This only works for Lagrange elements.
2305: .seealso: `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`, `PetscFECreateLagrange()`, `PetscFECreateLagrangeByCell()`, `PetscDualSpaceLagrangeSetContinuity()`
2306: @*/
2307: PetscErrorCode PetscFECreateBrokenElement(PetscFE cgfe, PetscFE *dgfe)
2308: {
2309: PetscSpace P;
2310: PetscDualSpace Q, dgQ;
2311: PetscQuadrature q, fq;
2312: PetscBool is_lagrange, is_sum;
2314: PetscFunctionBegin;
2315: PetscCall(PetscFEGetBasisSpace(cgfe, &P));
2316: PetscCall(PetscObjectReference((PetscObject)P));
2317: PetscCall(PetscFEGetDualSpace(cgfe, &Q));
2318: PetscCall(PetscObjectTypeCompare((PetscObject)Q, PETSCDUALSPACELAGRANGE, &is_lagrange));
2319: PetscCall(PetscObjectTypeCompare((PetscObject)Q, PETSCDUALSPACESUM, &is_sum));
2320: PetscCheck(is_lagrange || is_sum, PETSC_COMM_SELF, PETSC_ERR_SUP, "Can only create broken elements of Lagrange elements");
2321: PetscCall(PetscDualSpaceDuplicate(Q, &dgQ));
2322: PetscCall(PetscDualSpaceLagrangeSetContinuity(dgQ, PETSC_FALSE));
2323: PetscCall(PetscDualSpaceSetUp(dgQ));
2324: PetscCall(PetscFEGetQuadrature(cgfe, &q));
2325: PetscCall(PetscObjectReference((PetscObject)q));
2326: PetscCall(PetscFEGetFaceQuadrature(cgfe, &fq));
2327: PetscCall(PetscObjectReference((PetscObject)fq));
2328: PetscCall(PetscFECreateFromSpaces(P, dgQ, q, fq, dgfe));
2329: PetscFunctionReturn(PETSC_SUCCESS);
2330: }
2332: /*@
2333: PetscFESetName - Names the `PetscFE` and its subobjects
2335: Not Collective
2337: Input Parameters:
2338: + fe - The `PetscFE`
2339: - name - The name
2341: Level: intermediate
2343: .seealso: `PetscFECreate()`, `PetscSpaceCreate()`, `PetscDualSpaceCreate()`
2344: @*/
2345: PetscErrorCode PetscFESetName(PetscFE fe, const char name[])
2346: {
2347: PetscSpace P;
2348: PetscDualSpace Q;
2350: PetscFunctionBegin;
2351: PetscCall(PetscFEGetBasisSpace(fe, &P));
2352: PetscCall(PetscFEGetDualSpace(fe, &Q));
2353: PetscCall(PetscObjectSetName((PetscObject)fe, name));
2354: PetscCall(PetscObjectSetName((PetscObject)P, name));
2355: PetscCall(PetscObjectSetName((PetscObject)Q, name));
2356: PetscFunctionReturn(PETSC_SUCCESS);
2357: }
2359: PetscErrorCode PetscFEEvaluateFieldJets_Internal(PetscDS ds, PetscInt Nf, PetscInt r, PetscInt q, PetscTabulation T[], PetscFEGeom *fegeom, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscScalar u[], PetscScalar u_x[], PetscScalar u_t[])
2360: {
2361: PetscInt dOffset = 0, fOffset = 0, f, g;
2363: for (f = 0; f < Nf; ++f) {
2364: PetscCheck(r < T[f]->Nr, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Replica number %" PetscInt_FMT " should be in [0, %" PetscInt_FMT ")", r, T[f]->Nr);
2365: PetscCheck(q < T[f]->Np, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Point number %" PetscInt_FMT " should be in [0, %" PetscInt_FMT ")", q, T[f]->Np);
2366: PetscFE fe;
2367: const PetscInt k = ds->jetDegree[f];
2368: const PetscInt cdim = T[f]->cdim;
2369: const PetscInt dE = fegeom->dimEmbed;
2370: const PetscInt Nq = T[f]->Np;
2371: const PetscInt Nbf = T[f]->Nb;
2372: const PetscInt Ncf = T[f]->Nc;
2373: const PetscReal *Bq = &T[f]->T[0][(r * Nq + q) * Nbf * Ncf];
2374: const PetscReal *Dq = &T[f]->T[1][(r * Nq + q) * Nbf * Ncf * cdim];
2375: const PetscReal *Hq = k > 1 ? &T[f]->T[2][(r * Nq + q) * Nbf * Ncf * cdim * cdim] : NULL;
2376: PetscInt hOffset = 0, b, c, d;
2378: PetscCall(PetscDSGetDiscretization(ds, f, (PetscObject *)&fe));
2379: for (c = 0; c < Ncf; ++c) u[fOffset + c] = 0.0;
2380: for (d = 0; d < dE * Ncf; ++d) u_x[fOffset * dE + d] = 0.0;
2381: for (b = 0; b < Nbf; ++b) {
2382: for (c = 0; c < Ncf; ++c) {
2383: const PetscInt cidx = b * Ncf + c;
2385: u[fOffset + c] += Bq[cidx] * coefficients[dOffset + b];
2386: for (d = 0; d < cdim; ++d) u_x[(fOffset + c) * dE + d] += Dq[cidx * cdim + d] * coefficients[dOffset + b];
2387: }
2388: }
2389: if (k > 1) {
2390: for (g = 0; g < Nf; ++g) hOffset += T[g]->Nc * dE;
2391: for (d = 0; d < dE * dE * Ncf; ++d) u_x[hOffset + fOffset * dE * dE + d] = 0.0;
2392: for (b = 0; b < Nbf; ++b) {
2393: for (c = 0; c < Ncf; ++c) {
2394: const PetscInt cidx = b * Ncf + c;
2396: for (d = 0; d < cdim * cdim; ++d) u_x[hOffset + (fOffset + c) * dE * dE + d] += Hq[cidx * cdim * cdim + d] * coefficients[dOffset + b];
2397: }
2398: }
2399: PetscCall(PetscFEPushforwardHessian(fe, fegeom, 1, &u_x[hOffset + fOffset * dE * dE]));
2400: }
2401: PetscCall(PetscFEPushforward(fe, fegeom, 1, &u[fOffset]));
2402: PetscCall(PetscFEPushforwardGradient(fe, fegeom, 1, &u_x[fOffset * dE]));
2403: if (u_t) {
2404: for (c = 0; c < Ncf; ++c) u_t[fOffset + c] = 0.0;
2405: for (b = 0; b < Nbf; ++b) {
2406: for (c = 0; c < Ncf; ++c) {
2407: const PetscInt cidx = b * Ncf + c;
2409: u_t[fOffset + c] += Bq[cidx] * coefficients_t[dOffset + b];
2410: }
2411: }
2412: PetscCall(PetscFEPushforward(fe, fegeom, 1, &u_t[fOffset]));
2413: }
2414: fOffset += Ncf;
2415: dOffset += Nbf;
2416: }
2417: return PETSC_SUCCESS;
2418: }
2420: PetscErrorCode PetscFEEvaluateFieldJets_Hybrid_Internal(PetscDS ds, PetscInt Nf, PetscInt rc, PetscInt qc, PetscTabulation Tab[], const PetscInt rf[], const PetscInt qf[], PetscTabulation Tabf[], PetscFEGeom *fegeom, PetscFEGeom *fegeomNbr, const PetscScalar coefficients[], const PetscScalar coefficients_t[], PetscScalar u[], PetscScalar u_x[], PetscScalar u_t[])
2421: {
2422: PetscInt dOffset = 0, fOffset = 0, f;
2424: /* f is the field number in the DS */
2425: for (f = 0; f < Nf; ++f) {
2426: PetscBool isCohesive;
2427: PetscInt Ns;
2429: if (!Tab[f]) continue;
2430: PetscCall(PetscDSGetCohesive(ds, f, &isCohesive));
2431: Ns = isCohesive ? 1 : 2;
2432: {
2433: PetscTabulation T = isCohesive ? Tab[f] : Tabf[f];
2434: PetscFE fe = (PetscFE)ds->disc[f];
2435: const PetscInt dEt = T->cdim;
2436: const PetscInt dE = fegeom->dimEmbed;
2437: const PetscInt Nq = T->Np;
2438: const PetscInt Nbf = T->Nb;
2439: const PetscInt Ncf = T->Nc;
2441: for (PetscInt s = 0; s < Ns; ++s) {
2442: const PetscInt r = isCohesive ? rc : rf[s];
2443: const PetscInt q = isCohesive ? qc : qf[s];
2444: const PetscReal *Bq = &T->T[0][(r * Nq + q) * Nbf * Ncf];
2445: const PetscReal *Dq = &T->T[1][(r * Nq + q) * Nbf * Ncf * dEt];
2446: PetscInt b, c, d;
2448: PetscCheck(r < T->Nr, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT " Side %" PetscInt_FMT " Replica number %" PetscInt_FMT " should be in [0, %" PetscInt_FMT ")", f, s, r, T->Nr);
2449: PetscCheck(q < T->Np, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT " Side %" PetscInt_FMT " Point number %" PetscInt_FMT " should be in [0, %" PetscInt_FMT ")", f, s, q, T->Np);
2450: for (c = 0; c < Ncf; ++c) u[fOffset + c] = 0.0;
2451: for (d = 0; d < dE * Ncf; ++d) u_x[fOffset * dE + d] = 0.0;
2452: for (b = 0; b < Nbf; ++b) {
2453: for (c = 0; c < Ncf; ++c) {
2454: const PetscInt cidx = b * Ncf + c;
2456: u[fOffset + c] += Bq[cidx] * coefficients[dOffset + b];
2457: for (d = 0; d < dEt; ++d) u_x[(fOffset + c) * dE + d] += Dq[cidx * dEt + d] * coefficients[dOffset + b];
2458: }
2459: }
2460: PetscCall(PetscFEPushforward(fe, isCohesive ? fegeom : &fegeomNbr[s], 1, &u[fOffset]));
2461: PetscCall(PetscFEPushforwardGradient(fe, isCohesive ? fegeom : &fegeomNbr[s], 1, &u_x[fOffset * dE]));
2462: if (u_t) {
2463: for (c = 0; c < Ncf; ++c) u_t[fOffset + c] = 0.0;
2464: for (b = 0; b < Nbf; ++b) {
2465: for (c = 0; c < Ncf; ++c) {
2466: const PetscInt cidx = b * Ncf + c;
2468: u_t[fOffset + c] += Bq[cidx] * coefficients_t[dOffset + b];
2469: }
2470: }
2471: PetscCall(PetscFEPushforward(fe, fegeom, 1, &u_t[fOffset]));
2472: }
2473: fOffset += Ncf;
2474: dOffset += Nbf;
2475: }
2476: }
2477: }
2478: return PETSC_SUCCESS;
2479: }
2481: PetscErrorCode PetscFEEvaluateFaceFields_Internal(PetscDS prob, PetscInt field, PetscInt faceLoc, const PetscScalar coefficients[], PetscScalar u[])
2482: {
2483: PetscFE fe;
2484: PetscTabulation Tc;
2485: PetscInt b, c;
2487: if (!prob) return PETSC_SUCCESS;
2488: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fe));
2489: PetscCall(PetscFEGetFaceCentroidTabulation(fe, &Tc));
2490: {
2491: const PetscReal *faceBasis = Tc->T[0];
2492: const PetscInt Nb = Tc->Nb;
2493: const PetscInt Nc = Tc->Nc;
2495: for (c = 0; c < Nc; ++c) u[c] = 0.0;
2496: for (b = 0; b < Nb; ++b) {
2497: for (c = 0; c < Nc; ++c) u[c] += coefficients[b] * faceBasis[(faceLoc * Nb + b) * Nc + c];
2498: }
2499: }
2500: return PETSC_SUCCESS;
2501: }
2503: PetscErrorCode PetscFEUpdateElementVec_Internal(PetscFE fe, PetscTabulation T, PetscInt r, PetscScalar tmpBasis[], PetscScalar tmpBasisDer[], PetscInt e, PetscFEGeom *fegeom, PetscScalar f0[], PetscScalar f1[], PetscScalar elemVec[])
2504: {
2505: PetscFEGeom pgeom;
2506: const PetscInt dEt = T->cdim;
2507: const PetscInt dE = fegeom->dimEmbed;
2508: const PetscInt Nq = T->Np;
2509: const PetscInt Nb = T->Nb;
2510: const PetscInt Nc = T->Nc;
2511: const PetscReal *basis = &T->T[0][r * Nq * Nb * Nc];
2512: const PetscReal *basisDer = &T->T[1][r * Nq * Nb * Nc * dEt];
2513: PetscInt q, b, c, d;
2515: for (q = 0; q < Nq; ++q) {
2516: for (b = 0; b < Nb; ++b) {
2517: for (c = 0; c < Nc; ++c) {
2518: const PetscInt bcidx = b * Nc + c;
2520: tmpBasis[bcidx] = basis[q * Nb * Nc + bcidx];
2521: for (d = 0; d < dEt; ++d) tmpBasisDer[bcidx * dE + d] = basisDer[q * Nb * Nc * dEt + bcidx * dEt + d];
2522: for (d = dEt; d < dE; ++d) tmpBasisDer[bcidx * dE + d] = 0.0;
2523: }
2524: }
2525: PetscCall(PetscFEGeomGetCellPoint(fegeom, e, q, &pgeom));
2526: PetscCall(PetscFEPushforward(fe, &pgeom, Nb, tmpBasis));
2527: PetscCall(PetscFEPushforwardGradient(fe, &pgeom, Nb, tmpBasisDer));
2528: for (b = 0; b < Nb; ++b) {
2529: for (c = 0; c < Nc; ++c) {
2530: const PetscInt bcidx = b * Nc + c;
2531: const PetscInt qcidx = q * Nc + c;
2533: elemVec[b] += tmpBasis[bcidx] * f0[qcidx];
2534: for (d = 0; d < dE; ++d) elemVec[b] += tmpBasisDer[bcidx * dE + d] * f1[qcidx * dE + d];
2535: }
2536: }
2537: }
2538: return PETSC_SUCCESS;
2539: }
2541: PetscErrorCode PetscFEUpdateElementVec_Hybrid_Internal(PetscFE fe, PetscTabulation T, PetscInt r, PetscInt side, PetscScalar tmpBasis[], PetscScalar tmpBasisDer[], PetscFEGeom *fegeom, PetscScalar f0[], PetscScalar f1[], PetscScalar elemVec[])
2542: {
2543: const PetscInt dE = T->cdim;
2544: const PetscInt Nq = T->Np;
2545: const PetscInt Nb = T->Nb;
2546: const PetscInt Nc = T->Nc;
2547: const PetscReal *basis = &T->T[0][r * Nq * Nb * Nc];
2548: const PetscReal *basisDer = &T->T[1][r * Nq * Nb * Nc * dE];
2550: for (PetscInt q = 0; q < Nq; ++q) {
2551: for (PetscInt b = 0; b < Nb; ++b) {
2552: for (PetscInt c = 0; c < Nc; ++c) {
2553: const PetscInt bcidx = b * Nc + c;
2555: tmpBasis[bcidx] = basis[q * Nb * Nc + bcidx];
2556: for (PetscInt d = 0; d < dE; ++d) tmpBasisDer[bcidx * dE + d] = basisDer[q * Nb * Nc * dE + bcidx * dE + d];
2557: }
2558: }
2559: PetscCall(PetscFEPushforward(fe, fegeom, Nb, tmpBasis));
2560: // TODO This is currently broken since we do not pull the geometry down to the lower dimension
2561: // PetscCall(PetscFEPushforwardGradient(fe, fegeom, Nb, tmpBasisDer));
2562: if (side == 2) {
2563: // Integrating over whole cohesive cell, so insert for both sides
2564: for (PetscInt s = 0; s < 2; ++s) {
2565: for (PetscInt b = 0; b < Nb; ++b) {
2566: for (PetscInt c = 0; c < Nc; ++c) {
2567: const PetscInt bcidx = b * Nc + c;
2568: const PetscInt qcidx = (q * 2 + s) * Nc + c;
2570: elemVec[Nb * s + b] += tmpBasis[bcidx] * f0[qcidx];
2571: for (PetscInt d = 0; d < dE; ++d) elemVec[Nb * s + b] += tmpBasisDer[bcidx * dE + d] * f1[qcidx * dE + d];
2572: }
2573: }
2574: }
2575: } else {
2576: // Integrating over endcaps of cohesive cell, so insert for correct side
2577: for (PetscInt b = 0; b < Nb; ++b) {
2578: for (PetscInt c = 0; c < Nc; ++c) {
2579: const PetscInt bcidx = b * Nc + c;
2580: const PetscInt qcidx = q * Nc + c;
2582: elemVec[Nb * side + b] += tmpBasis[bcidx] * f0[qcidx];
2583: for (PetscInt d = 0; d < dE; ++d) elemVec[Nb * side + b] += tmpBasisDer[bcidx * dE + d] * f1[qcidx * dE + d];
2584: }
2585: }
2586: }
2587: }
2588: return PETSC_SUCCESS;
2589: }
2591: #define petsc_elemmat_kernel_g1(_NbI, _NcI, _NbJ, _NcJ, _dE) \
2592: do { \
2593: for (PetscInt fc = 0; fc < (_NcI); ++fc) { \
2594: for (PetscInt gc = 0; gc < (_NcJ); ++gc) { \
2595: const PetscScalar *G = g1 + (fc * (_NcJ) + gc) * _dE; \
2596: for (PetscInt f = 0; f < (_NbI); ++f) { \
2597: const PetscScalar tBIv = tmpBasisI[f * (_NcI) + fc]; \
2598: for (PetscInt g = 0; g < (_NbJ); ++g) { \
2599: const PetscScalar *tBDJ = tmpBasisDerJ + (g * (_NcJ) + gc) * (_dE); \
2600: PetscScalar s = 0.0; \
2601: for (PetscInt df = 0; df < _dE; ++df) s += G[df] * tBDJ[df]; \
2602: elemMat[(offsetI + f) * totDim + (offsetJ + g)] += s * tBIv; \
2603: } \
2604: } \
2605: } \
2606: } \
2607: } while (0)
2609: #define petsc_elemmat_kernel_g2(_NbI, _NcI, _NbJ, _NcJ, _dE) \
2610: do { \
2611: for (PetscInt gc = 0; gc < (_NcJ); ++gc) { \
2612: for (PetscInt fc = 0; fc < (_NcI); ++fc) { \
2613: const PetscScalar *G = g2 + (fc * (_NcJ) + gc) * _dE; \
2614: for (PetscInt g = 0; g < (_NbJ); ++g) { \
2615: const PetscScalar tBJv = tmpBasisJ[g * (_NcJ) + gc]; \
2616: for (PetscInt f = 0; f < (_NbI); ++f) { \
2617: const PetscScalar *tBDI = tmpBasisDerI + (f * (_NcI) + fc) * (_dE); \
2618: PetscScalar s = 0.0; \
2619: for (PetscInt df = 0; df < _dE; ++df) s += tBDI[df] * G[df]; \
2620: elemMat[(offsetI + f) * totDim + (offsetJ + g)] += s * tBJv; \
2621: } \
2622: } \
2623: } \
2624: } \
2625: } while (0)
2627: #define petsc_elemmat_kernel_g3(_NbI, _NcI, _NbJ, _NcJ, _dE) \
2628: do { \
2629: for (PetscInt fc = 0; fc < (_NcI); ++fc) { \
2630: for (PetscInt gc = 0; gc < (_NcJ); ++gc) { \
2631: const PetscScalar *G = g3 + (fc * (_NcJ) + gc) * (_dE) * (_dE); \
2632: for (PetscInt f = 0; f < (_NbI); ++f) { \
2633: const PetscScalar *tBDI = tmpBasisDerI + (f * (_NcI) + fc) * (_dE); \
2634: for (PetscInt g = 0; g < (_NbJ); ++g) { \
2635: PetscScalar s = 0.0; \
2636: const PetscScalar *tBDJ = tmpBasisDerJ + (g * (_NcJ) + gc) * (_dE); \
2637: for (PetscInt df = 0; df < (_dE); ++df) { \
2638: for (PetscInt dg = 0; dg < (_dE); ++dg) s += tBDI[df] * G[df * (_dE) + dg] * tBDJ[dg]; \
2639: } \
2640: elemMat[(offsetI + f) * totDim + (offsetJ + g)] += s; \
2641: } \
2642: } \
2643: } \
2644: } \
2645: } while (0)
2647: PetscErrorCode PetscFEUpdateElementMat_Internal(PetscFE feI, PetscFE feJ, PetscInt r, PetscInt q, PetscTabulation TI, PetscScalar tmpBasisI[], PetscScalar tmpBasisDerI[], PetscTabulation TJ, PetscScalar tmpBasisJ[], PetscScalar tmpBasisDerJ[], PetscFEGeom *fegeom, const PetscScalar g0[], const PetscScalar g1[], const PetscScalar g2[], const PetscScalar g3[], PetscInt totDim, PetscInt offsetI, PetscInt offsetJ, PetscScalar elemMat[])
2648: {
2649: const PetscInt cdim = TI->cdim;
2650: const PetscInt dE = fegeom->dimEmbed;
2651: const PetscInt NqI = TI->Np;
2652: const PetscInt NbI = TI->Nb;
2653: const PetscInt NcI = TI->Nc;
2654: const PetscReal *basisI = &TI->T[0][(r * NqI + q) * NbI * NcI];
2655: const PetscReal *basisDerI = &TI->T[1][(r * NqI + q) * NbI * NcI * cdim];
2656: const PetscInt NqJ = TJ->Np;
2657: const PetscInt NbJ = TJ->Nb;
2658: const PetscInt NcJ = TJ->Nc;
2659: const PetscReal *basisJ = &TJ->T[0][(r * NqJ + q) * NbJ * NcJ];
2660: const PetscReal *basisDerJ = &TJ->T[1][(r * NqJ + q) * NbJ * NcJ * cdim];
2662: for (PetscInt f = 0; f < NbI; ++f) {
2663: for (PetscInt fc = 0; fc < NcI; ++fc) {
2664: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2666: tmpBasisI[fidx] = basisI[fidx];
2667: for (PetscInt df = 0; df < cdim; ++df) tmpBasisDerI[fidx * dE + df] = basisDerI[fidx * cdim + df];
2668: }
2669: }
2670: PetscCall(PetscFEPushforward(feI, fegeom, NbI, tmpBasisI));
2671: PetscCall(PetscFEPushforwardGradient(feI, fegeom, NbI, tmpBasisDerI));
2672: if (feI != feJ) {
2673: for (PetscInt g = 0; g < NbJ; ++g) {
2674: for (PetscInt gc = 0; gc < NcJ; ++gc) {
2675: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2677: tmpBasisJ[gidx] = basisJ[gidx];
2678: for (PetscInt dg = 0; dg < cdim; ++dg) tmpBasisDerJ[gidx * dE + dg] = basisDerJ[gidx * cdim + dg];
2679: }
2680: }
2681: PetscCall(PetscFEPushforward(feJ, fegeom, NbJ, tmpBasisJ));
2682: PetscCall(PetscFEPushforwardGradient(feJ, fegeom, NbJ, tmpBasisDerJ));
2683: } else {
2684: tmpBasisJ = tmpBasisI;
2685: tmpBasisDerJ = tmpBasisDerI;
2686: }
2687: if (PetscUnlikely(g0)) {
2688: for (PetscInt f = 0; f < NbI; ++f) {
2689: const PetscInt i = offsetI + f; /* Element matrix row */
2691: for (PetscInt fc = 0; fc < NcI; ++fc) {
2692: const PetscScalar bI = tmpBasisI[f * NcI + fc]; /* Test function basis value */
2694: for (PetscInt g = 0; g < NbJ; ++g) {
2695: const PetscInt j = offsetJ + g; /* Element matrix column */
2696: const PetscInt fOff = i * totDim + j;
2698: for (PetscInt gc = 0; gc < NcJ; ++gc) elemMat[fOff] += bI * g0[fc * NcJ + gc] * tmpBasisJ[g * NcJ + gc];
2699: }
2700: }
2701: }
2702: }
2703: if (PetscUnlikely(g1)) {
2704: #if 1
2705: if (dE == 2) {
2706: petsc_elemmat_kernel_g1(NbI, NcI, NbJ, NcJ, 2);
2707: } else if (dE == 3) {
2708: petsc_elemmat_kernel_g1(NbI, NcI, NbJ, NcJ, 3);
2709: } else {
2710: petsc_elemmat_kernel_g1(NbI, NcI, NbJ, NcJ, dE);
2711: }
2712: #else
2713: for (PetscInt f = 0; f < NbI; ++f) {
2714: const PetscInt i = offsetI + f; /* Element matrix row */
2716: for (PetscInt fc = 0; fc < NcI; ++fc) {
2717: const PetscScalar bI = tmpBasisI[f * NcI + fc]; /* Test function basis value */
2719: for (PetscInt g = 0; g < NbJ; ++g) {
2720: const PetscInt j = offsetJ + g; /* Element matrix column */
2721: const PetscInt fOff = i * totDim + j;
2723: for (PetscInt gc = 0; gc < NcJ; ++gc) {
2724: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2726: for (PetscInt df = 0; df < dE; ++df) elemMat[fOff] += bI * g1[(fc * NcJ + gc) * dE + df] * tmpBasisDerJ[gidx * dE + df];
2727: }
2728: }
2729: }
2730: }
2731: #endif
2732: }
2733: if (PetscUnlikely(g2)) {
2734: #if 1
2735: if (dE == 2) {
2736: petsc_elemmat_kernel_g2(NbI, NcI, NbJ, NcJ, 2);
2737: } else if (dE == 3) {
2738: petsc_elemmat_kernel_g2(NbI, NcI, NbJ, NcJ, 3);
2739: } else {
2740: petsc_elemmat_kernel_g2(NbI, NcI, NbJ, NcJ, dE);
2741: }
2742: #else
2743: for (PetscInt g = 0; g < NbJ; ++g) {
2744: const PetscInt j = offsetJ + g; /* Element matrix column */
2746: for (PetscInt gc = 0; gc < NcJ; ++gc) {
2747: const PetscScalar bJ = tmpBasisJ[g * NcJ + gc]; /* Trial function basis value */
2749: for (PetscInt f = 0; f < NbI; ++f) {
2750: const PetscInt i = offsetI + f; /* Element matrix row */
2751: const PetscInt fOff = i * totDim + j;
2753: for (PetscInt fc = 0; fc < NcI; ++fc) {
2754: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2756: for (PetscInt df = 0; df < dE; ++df) elemMat[fOff] += tmpBasisDerI[fidx * dE + df] * g2[(fc * NcJ + gc) * dE + df] * bJ;
2757: }
2758: }
2759: }
2760: }
2761: #endif
2762: }
2763: if (PetscUnlikely(g3)) {
2764: #if 1
2765: if (dE == 2) {
2766: petsc_elemmat_kernel_g3(NbI, NcI, NbJ, NcJ, 2);
2767: } else if (dE == 3) {
2768: petsc_elemmat_kernel_g3(NbI, NcI, NbJ, NcJ, 3);
2769: } else {
2770: petsc_elemmat_kernel_g3(NbI, NcI, NbJ, NcJ, dE);
2771: }
2772: #else
2773: for (PetscInt f = 0; f < NbI; ++f) {
2774: const PetscInt i = offsetI + f; /* Element matrix row */
2776: for (PetscInt fc = 0; fc < NcI; ++fc) {
2777: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2779: for (PetscInt g = 0; g < NbJ; ++g) {
2780: const PetscInt j = offsetJ + g; /* Element matrix column */
2781: const PetscInt fOff = i * totDim + j;
2783: for (PetscInt gc = 0; gc < NcJ; ++gc) {
2784: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2786: for (PetscInt df = 0; df < dE; ++df) {
2787: for (PetscInt dg = 0; dg < dE; ++dg) elemMat[fOff] += tmpBasisDerI[fidx * dE + df] * g3[((fc * NcJ + gc) * dE + df) * dE + dg] * tmpBasisDerJ[gidx * dE + dg];
2788: }
2789: }
2790: }
2791: }
2792: }
2793: #endif
2794: }
2795: return PETSC_SUCCESS;
2796: }
2798: #undef petsc_elemmat_kernel_g1
2799: #undef petsc_elemmat_kernel_g2
2800: #undef petsc_elemmat_kernel_g3
2802: PetscErrorCode PetscFEUpdateElementMat_Hybrid_Internal(PetscFE feI, PetscBool isHybridI, PetscFE feJ, PetscBool isHybridJ, PetscInt r, PetscInt s, PetscInt t, PetscInt q, PetscTabulation TI, PetscScalar tmpBasisI[], PetscScalar tmpBasisDerI[], PetscTabulation TJ, PetscScalar tmpBasisJ[], PetscScalar tmpBasisDerJ[], PetscFEGeom *fegeom, const PetscScalar g0[], const PetscScalar g1[], const PetscScalar g2[], const PetscScalar g3[], PetscInt eOffset, PetscInt totDim, PetscInt offsetI, PetscInt offsetJ, PetscScalar elemMat[])
2803: {
2804: const PetscInt dE = TI->cdim;
2805: const PetscInt NqI = TI->Np;
2806: const PetscInt NbI = TI->Nb;
2807: const PetscInt NcI = TI->Nc;
2808: const PetscReal *basisI = &TI->T[0][(r * NqI + q) * NbI * NcI];
2809: const PetscReal *basisDerI = &TI->T[1][(r * NqI + q) * NbI * NcI * dE];
2810: const PetscInt NqJ = TJ->Np;
2811: const PetscInt NbJ = TJ->Nb;
2812: const PetscInt NcJ = TJ->Nc;
2813: const PetscReal *basisJ = &TJ->T[0][(r * NqJ + q) * NbJ * NcJ];
2814: const PetscReal *basisDerJ = &TJ->T[1][(r * NqJ + q) * NbJ * NcJ * dE];
2815: const PetscInt so = isHybridI ? 0 : s;
2816: const PetscInt to = isHybridJ ? 0 : t;
2817: PetscInt f, fc, g, gc, df, dg;
2819: for (f = 0; f < NbI; ++f) {
2820: for (fc = 0; fc < NcI; ++fc) {
2821: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2823: tmpBasisI[fidx] = basisI[fidx];
2824: for (df = 0; df < dE; ++df) tmpBasisDerI[fidx * dE + df] = basisDerI[fidx * dE + df];
2825: }
2826: }
2827: PetscCall(PetscFEPushforward(feI, fegeom, NbI, tmpBasisI));
2828: PetscCall(PetscFEPushforwardGradient(feI, fegeom, NbI, tmpBasisDerI));
2829: for (g = 0; g < NbJ; ++g) {
2830: for (gc = 0; gc < NcJ; ++gc) {
2831: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2833: tmpBasisJ[gidx] = basisJ[gidx];
2834: for (dg = 0; dg < dE; ++dg) tmpBasisDerJ[gidx * dE + dg] = basisDerJ[gidx * dE + dg];
2835: }
2836: }
2837: PetscCall(PetscFEPushforward(feJ, fegeom, NbJ, tmpBasisJ));
2838: // TODO This is currently broken since we do not pull the geometry down to the lower dimension
2839: // PetscCall(PetscFEPushforwardGradient(feJ, fegeom, NbJ, tmpBasisDerJ));
2840: for (f = 0; f < NbI; ++f) {
2841: for (fc = 0; fc < NcI; ++fc) {
2842: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2843: const PetscInt i = offsetI + NbI * so + f; /* Element matrix row */
2844: for (g = 0; g < NbJ; ++g) {
2845: for (gc = 0; gc < NcJ; ++gc) {
2846: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2847: const PetscInt j = offsetJ + NbJ * to + g; /* Element matrix column */
2848: const PetscInt fOff = eOffset + i * totDim + j;
2850: elemMat[fOff] += tmpBasisI[fidx] * g0[fc * NcJ + gc] * tmpBasisJ[gidx];
2851: for (df = 0; df < dE; ++df) {
2852: elemMat[fOff] += tmpBasisI[fidx] * g1[(fc * NcJ + gc) * dE + df] * tmpBasisDerJ[gidx * dE + df];
2853: elemMat[fOff] += tmpBasisDerI[fidx * dE + df] * g2[(fc * NcJ + gc) * dE + df] * tmpBasisJ[gidx];
2854: for (dg = 0; dg < dE; ++dg) elemMat[fOff] += tmpBasisDerI[fidx * dE + df] * g3[((fc * NcJ + gc) * dE + df) * dE + dg] * tmpBasisDerJ[gidx * dE + dg];
2855: }
2856: }
2857: }
2858: }
2859: }
2860: return PETSC_SUCCESS;
2861: }
2863: PetscErrorCode PetscFECreateCellGeometry(PetscFE fe, PetscQuadrature quad, PetscFEGeom *cgeom)
2864: {
2865: PetscDualSpace dsp;
2866: DM dm;
2867: PetscQuadrature quadDef;
2868: PetscInt dim, cdim, Nq;
2870: PetscFunctionBegin;
2871: PetscCall(PetscFEGetDualSpace(fe, &dsp));
2872: PetscCall(PetscDualSpaceGetDM(dsp, &dm));
2873: PetscCall(DMGetDimension(dm, &dim));
2874: PetscCall(DMGetCoordinateDim(dm, &cdim));
2875: PetscCall(PetscFEGetQuadrature(fe, &quadDef));
2876: quad = quad ? quad : quadDef;
2877: PetscCall(PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL));
2878: PetscCall(PetscMalloc1(Nq * cdim, &cgeom->v));
2879: PetscCall(PetscMalloc1(Nq * cdim * cdim, &cgeom->J));
2880: PetscCall(PetscMalloc1(Nq * cdim * cdim, &cgeom->invJ));
2881: PetscCall(PetscMalloc1(Nq, &cgeom->detJ));
2882: cgeom->dim = dim;
2883: cgeom->dimEmbed = cdim;
2884: cgeom->numCells = 1;
2885: cgeom->numPoints = Nq;
2886: PetscCall(DMPlexComputeCellGeometryFEM(dm, 0, quad, cgeom->v, cgeom->J, cgeom->invJ, cgeom->detJ));
2887: PetscFunctionReturn(PETSC_SUCCESS);
2888: }
2890: PetscErrorCode PetscFEDestroyCellGeometry(PetscFE fe, PetscFEGeom *cgeom)
2891: {
2892: PetscFunctionBegin;
2893: PetscCall(PetscFree(cgeom->v));
2894: PetscCall(PetscFree(cgeom->J));
2895: PetscCall(PetscFree(cgeom->invJ));
2896: PetscCall(PetscFree(cgeom->detJ));
2897: PetscFunctionReturn(PETSC_SUCCESS);
2898: }
2900: #if 0
2901: PetscErrorCode PetscFEUpdateElementMat_Internal_SparseIndices(PetscTabulation TI, PetscTabulation TJ, PetscInt dimEmbed, const PetscInt g0[], const PetscInt g1[], const PetscInt g2[], const PetscInt g3[], PetscInt totDim, PetscInt offsetI, PetscInt offsetJ, PetscInt *n_g0, PetscInt **g0_idxs_out, PetscInt *n_g1, PetscInt **g1_idxs_out, PetscInt *n_g2, PetscInt **g2_idxs_out, PetscInt *n_g3, PetscInt **g3_idxs_out)
2902: {
2903: const PetscInt dE = dimEmbed;
2904: const PetscInt NbI = TI->Nb;
2905: const PetscInt NcI = TI->Nc;
2906: const PetscInt NbJ = TJ->Nb;
2907: const PetscInt NcJ = TJ->Nc;
2908: PetscBool has_g0 = g0 ? PETSC_TRUE : PETSC_FALSE;
2909: PetscBool has_g1 = g1 ? PETSC_TRUE : PETSC_FALSE;
2910: PetscBool has_g2 = g2 ? PETSC_TRUE : PETSC_FALSE;
2911: PetscBool has_g3 = g3 ? PETSC_TRUE : PETSC_FALSE;
2912: PetscInt *g0_idxs = NULL, *g1_idxs = NULL, *g2_idxs = NULL, *g3_idxs = NULL;
2913: PetscInt g0_i, g1_i, g2_i, g3_i;
2915: PetscFunctionBegin;
2916: g0_i = g1_i = g2_i = g3_i = 0;
2917: if (has_g0)
2918: for (PetscInt i = 0; i < NcI * NcJ; i++)
2919: if (g0[i]) g0_i += NbI * NbJ;
2920: if (has_g1)
2921: for (PetscInt i = 0; i < NcI * NcJ * dE; i++)
2922: if (g1[i]) g1_i += NbI * NbJ;
2923: if (has_g2)
2924: for (PetscInt i = 0; i < NcI * NcJ * dE; i++)
2925: if (g2[i]) g2_i += NbI * NbJ;
2926: if (has_g3)
2927: for (PetscInt i = 0; i < NcI * NcJ * dE * dE; i++)
2928: if (g3[i]) g3_i += NbI * NbJ;
2929: if (g0_i == NbI * NbJ * NcI * NcJ) g0_i = 0;
2930: if (g1_i == NbI * NbJ * NcI * NcJ * dE) g1_i = 0;
2931: if (g2_i == NbI * NbJ * NcI * NcJ * dE) g2_i = 0;
2932: if (g3_i == NbI * NbJ * NcI * NcJ * dE * dE) g3_i = 0;
2933: has_g0 = g0_i ? PETSC_TRUE : PETSC_FALSE;
2934: has_g1 = g1_i ? PETSC_TRUE : PETSC_FALSE;
2935: has_g2 = g2_i ? PETSC_TRUE : PETSC_FALSE;
2936: has_g3 = g3_i ? PETSC_TRUE : PETSC_FALSE;
2937: if (has_g0) PetscCall(PetscMalloc1(4 * g0_i, &g0_idxs));
2938: if (has_g1) PetscCall(PetscMalloc1(4 * g1_i, &g1_idxs));
2939: if (has_g2) PetscCall(PetscMalloc1(4 * g2_i, &g2_idxs));
2940: if (has_g3) PetscCall(PetscMalloc1(4 * g3_i, &g3_idxs));
2941: g0_i = g1_i = g2_i = g3_i = 0;
2943: for (PetscInt f = 0; f < NbI; ++f) {
2944: const PetscInt i = offsetI + f; /* Element matrix row */
2945: for (PetscInt fc = 0; fc < NcI; ++fc) {
2946: const PetscInt fidx = f * NcI + fc; /* Test function basis index */
2948: for (PetscInt g = 0; g < NbJ; ++g) {
2949: const PetscInt j = offsetJ + g; /* Element matrix column */
2950: const PetscInt fOff = i * totDim + j;
2951: for (PetscInt gc = 0; gc < NcJ; ++gc) {
2952: const PetscInt gidx = g * NcJ + gc; /* Trial function basis index */
2954: if (has_g0) {
2955: if (g0[fc * NcJ + gc]) {
2956: g0_idxs[4 * g0_i + 0] = fidx;
2957: g0_idxs[4 * g0_i + 1] = fc * NcJ + gc;
2958: g0_idxs[4 * g0_i + 2] = gidx;
2959: g0_idxs[4 * g0_i + 3] = fOff;
2960: g0_i++;
2961: }
2962: }
2964: for (PetscInt df = 0; df < dE; ++df) {
2965: if (has_g1) {
2966: if (g1[(fc * NcJ + gc) * dE + df]) {
2967: g1_idxs[4 * g1_i + 0] = fidx;
2968: g1_idxs[4 * g1_i + 1] = (fc * NcJ + gc) * dE + df;
2969: g1_idxs[4 * g1_i + 2] = gidx * dE + df;
2970: g1_idxs[4 * g1_i + 3] = fOff;
2971: g1_i++;
2972: }
2973: }
2974: if (has_g2) {
2975: if (g2[(fc * NcJ + gc) * dE + df]) {
2976: g2_idxs[4 * g2_i + 0] = fidx * dE + df;
2977: g2_idxs[4 * g2_i + 1] = (fc * NcJ + gc) * dE + df;
2978: g2_idxs[4 * g2_i + 2] = gidx;
2979: g2_idxs[4 * g2_i + 3] = fOff;
2980: g2_i++;
2981: }
2982: }
2983: if (has_g3) {
2984: for (PetscInt dg = 0; dg < dE; ++dg) {
2985: if (g3[((fc * NcJ + gc) * dE + df) * dE + dg]) {
2986: g3_idxs[4 * g3_i + 0] = fidx * dE + df;
2987: g3_idxs[4 * g3_i + 1] = ((fc * NcJ + gc) * dE + df) * dE + dg;
2988: g3_idxs[4 * g3_i + 2] = gidx * dE + dg;
2989: g3_idxs[4 * g3_i + 3] = fOff;
2990: g3_i++;
2991: }
2992: }
2993: }
2994: }
2995: }
2996: }
2997: }
2998: }
2999: *n_g0 = g0_i;
3000: *n_g1 = g1_i;
3001: *n_g2 = g2_i;
3002: *n_g3 = g3_i;
3004: *g0_idxs_out = g0_idxs;
3005: *g1_idxs_out = g1_idxs;
3006: *g2_idxs_out = g2_idxs;
3007: *g3_idxs_out = g3_idxs;
3008: PetscFunctionReturn(PETSC_SUCCESS);
3009: }
3011: //example HOW TO USE
3012: for (PetscInt i = 0; i < g0_sparse_n; i++) {
3013: PetscInt bM = g0_sparse_idxs[4 * i + 0];
3014: PetscInt bN = g0_sparse_idxs[4 * i + 1];
3015: PetscInt bK = g0_sparse_idxs[4 * i + 2];
3016: PetscInt bO = g0_sparse_idxs[4 * i + 3];
3017: elemMat[bO] += tmpBasisI[bM] * g0[bN] * tmpBasisJ[bK];
3018: }
3019: #endif