dune-localfunctions 2.10
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refinedp1localbasis.hh
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1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3// SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
4// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5#ifndef DUNE_REFINED_P1_LOCALBASIS_HH
6#define DUNE_REFINED_P1_LOCALBASIS_HH
7
11
12#include <numeric>
13
14#include <dune/common/fmatrix.hh>
15
16#include <dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
17
18namespace Dune
19{
20 template<class D, class R, int dim>
21 class RefinedP1LocalBasis
22 : public RefinedSimplexLocalBasis<D,dim>
23 {
24 public:
25 RefinedP1LocalBasis()
26 {
27 DUNE_THROW(Dune::NotImplemented,"RefinedP1LocalBasis not implemented for dim > 3.");
28 }
29 };
30
53 template<class D, class R>
54 class RefinedP1LocalBasis<D,R,1>
55 : public RefinedSimplexLocalBasis<D,1>
56 {
57 public:
59 typedef LocalBasisTraits<D,1,Dune::FieldVector<D,1>,R,1,Dune::FieldVector<R,1>,
60 Dune::FieldMatrix<R,1,1> > Traits;
61
63 static constexpr unsigned int size ()
64 {
65 return 3;
66 }
67
69 inline void evaluateFunction (const typename Traits::DomainType& in,
70 std::vector<typename Traits::RangeType>& out) const
71 {
72 out.resize(3);
73
74 int subElement;
75 typename Traits::DomainType local;
76 this->getSubElement(in, subElement, local);
77
78 switch (subElement) {
79 case 0 :
80
81 out[0] = 1 - local[0];
82 out[1] = local[0];
83 out[2] = 0;
84 break;
85
86 case 1 :
87
88 out[0] = 0;
89 out[1] = 1 - local[0];
90 out[2] = local[0];
91 break;
92
93 }
94
95 }
96
98 inline void
99 evaluateJacobian (const typename Traits::DomainType& in, // position
100 std::vector<typename Traits::JacobianType>& out) const // return value
101 {
102 out.resize(3);
103
104 int subElement;
105 typename Traits::DomainType local;
106 this->getSubElement(in, subElement, local);
107
108 switch (subElement) {
109 case 0 :
110
111 out[0][0][0] = -2;
112 out[1][0][0] = 2;
113 out[2][0][0] = 0;
114 break;
115
116 case 1 :
117
118 out[0][0][0] = 0;
119 out[1][0][0] = -2;
120 out[2][0][0] = 2;
121 break;
122
123 }
124 }
125
127 void partial (const std::array<unsigned int, 1>& order,
128 const typename Traits::DomainType& in, // position
129 std::vector<typename Traits::RangeType>& out) const // return value
130 {
131 auto totalOrder = order[0];
132 if (totalOrder == 0) {
133 evaluateFunction(in, out);
134 } else if (totalOrder == 1)
135 {
136 out.resize(3);
137
138 int subElement;
139 typename Traits::DomainType local;
140 this->getSubElement(in, subElement, local);
141
142 switch (subElement) {
143 case 0:
144 out[0] = -2;
145 out[1] = 2;
146 out[2] = 0;
147 break;
148 case 1:
149 out[0] = 0;
150 out[1] = -2;
151 out[2] = 2;
152 break;
153 }
154 } else {
155 out.resize(3);
156 out[0] = out[1] = out[2] = 0;
157 }
158 }
159
163 static constexpr unsigned int order ()
164 {
165 return 1;
166 }
167
168 };
169
195 template<class D, class R>
196 class RefinedP1LocalBasis<D,R,2>
197 : public RefinedSimplexLocalBasis<D,2>
198 {
199 public:
201 typedef LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,1,Dune::FieldVector<R,1>,
202 Dune::FieldMatrix<R,1,2> > Traits;
203
205 static constexpr unsigned int size ()
206 {
207 return 6;
208 }
209
211 inline void evaluateFunction (const typename Traits::DomainType& in,
212 std::vector<typename Traits::RangeType>& out) const
213 {
214 out.resize(6);
215
216 int subElement;
217 typename Traits::DomainType local;
218 this->getSubElement(in, subElement, local);
219
220 switch (subElement) {
221 case 0 :
222
223 out[0] = 1 - local[0] - local[1];
224 out[1] = local[0];
225 out[2] = 0;
226 out[3] = local[1];
227 out[4] = 0;
228 out[5] = 0;
229 break;
230
231 case 1 :
232
233 out[0] = 0;
234 out[1] = 1 - local[0] - local[1];
235 out[2] = local[0];
236 out[3] = 0;
237 out[4] = local[1];
238 out[5] = 0;
239 break;
240
241 case 2 :
242
243 out[0] = 0;
244 out[1] = 0;
245 out[2] = 0;
246 out[3] = 1 - local[0] - local[1];
247 out[4] = local[0];
248 out[5] = local[1];
249 break;
250 case 3 :
251
252 out[0] = 0;
253 out[1] = local[1];
254 out[2] = 0;
255 out[3] = local[0];
256 out[4] = 1 - local[0] - local[1];
257 out[5] = 0;
258 }
259
260 }
261
263 inline void
264 evaluateJacobian (const typename Traits::DomainType& in, // position
265 std::vector<typename Traits::JacobianType>& out) const // return value
266 {
267 out.resize(6);
268
269 int subElement;
270 typename Traits::DomainType local;
271 this->getSubElement(in, subElement, local);
272
273 switch (subElement) {
274 case 0 :
275
276 out[0][0][0] = -2; out[0][0][1] = -2;
277 out[1][0][0] = 2; out[1][0][1] = 0;
278 out[2][0][0] = 0; out[2][0][1] = 0;
279 out[3][0][0] = 0; out[3][0][1] = 2;
280 out[4][0][0] = 0; out[4][0][1] = 0;
281 out[5][0][0] = 0; out[5][0][1] = 0;
282 break;
283
284 case 1 :
285
286 out[0][0][0] = 0; out[0][0][1] = 0;
287 out[1][0][0] = -2; out[1][0][1] = -2;
288 out[2][0][0] = 2; out[2][0][1] = 0;
289 out[3][0][0] = 0; out[3][0][1] = 0;
290 out[4][0][0] = 0; out[4][0][1] = 2;
291 out[5][0][0] = 0; out[5][0][1] = 0;
292 break;
293
294 case 2 :
295
296 out[0][0][0] = 0; out[0][0][1] = 0;
297 out[1][0][0] = 0; out[1][0][1] = 0;
298 out[2][0][0] = 0; out[2][0][1] = 0;
299 out[3][0][0] = -2; out[3][0][1] = -2;
300 out[4][0][0] = 2; out[4][0][1] = 0;
301 out[5][0][0] = 0; out[5][0][1] = 2;
302 break;
303 case 3 :
304
305 out[0][0][0] = 0; out[0][0][1] = 0;
306 out[1][0][0] = 0; out[1][0][1] = -2;
307 out[2][0][0] = 0; out[2][0][1] = 0;
308 out[3][0][0] = -2; out[3][0][1] = 0;
309 out[4][0][0] = 2; out[4][0][1] = 2;
310 out[5][0][0] = 0; out[5][0][1] = 0;
311 }
312 }
313
315 void partial (const std::array<unsigned int, 2>& order,
316 const typename Traits::DomainType& in, // position
317 std::vector<typename Traits::RangeType>& out) const // return value
318 {
319 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
320 if (totalOrder == 0) {
321 evaluateFunction(in, out);
322 } else if (totalOrder == 1) {
323 int subElement;
324 typename Traits::DomainType local;
325 this->getSubElement(in, subElement, local);
326
327 auto const direction = std::distance(order.begin(), std::find(order.begin(), order.end(), 1));
328 out.resize(size());
329
330 for (std::size_t i = 0; i < size(); ++i)
331 out[i] = 0;
332
333 switch (direction) {
334 case 0: // direction == 0
335
336 switch (subElement) {
337 case 0 :
338 out[0] = -2;
339 out[1] = 2;
340 break;
341 case 1 :
342 out[1] = -2;
343 out[2] = 2;
344 break;
345 case 2 :
346 out[3] = -2;
347 out[4] = 2;
348 break;
349 case 3 :
350 out[3] = -2;
351 out[4] = 2;
352 }
353 break;
354
355 case 1: // direction == 1
356
357 switch (subElement) {
358 case 0 :
359 out[0] = -2;
360 out[3] = 2;
361 break;
362 case 1 :
363 out[1] = -2;
364 out[4] = 2;
365 break;
366 case 2 :
367 out[3] = -2;
368 out[5] = 2;
369 break;
370 case 3 :
371 out[1] = -2;
372 out[4] = 2;
373 }
374 break;
375
376 default:
377 DUNE_THROW(RangeError, "Component out of range.");
378 }
379 } else {
380 out.resize(size());
381 for (std::size_t i = 0; i < size(); ++i)
382 out[i] = 0;
383 }
384 }
385
389 static constexpr unsigned int order ()
390 {
391 return 1;
392 }
393
394 };
395
425 template<class D, class R>
426 class RefinedP1LocalBasis<D,R,3>
427 : public RefinedSimplexLocalBasis<D,3>
428 {
429 public:
431 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
432 Dune::FieldMatrix<R,1,3> > Traits;
433
435 static constexpr unsigned int size ()
436 {
437 return 10;
438 }
439
441 inline void evaluateFunction (const typename Traits::DomainType& in,
442 std::vector<typename Traits::RangeType>& out) const
443 {
444 out.resize(10);
445
446 int subElement;
447 typename Traits::DomainType local;
448 this->getSubElement(in, subElement, local);
449
450 switch (subElement) {
451 case 0 :
452
453 out[0] = 1 - local[0] - local[1] - local[2];
454 out[1] = local[0];
455 out[2] = 0;
456 out[3] = local[1];
457 out[4] = 0;
458 out[5] = 0;
459 out[6] = local[2];
460 out[7] = 0;
461 out[8] = 0;
462 out[9] = 0;
463 break;
464
465 case 1 :
466
467 out[0] = 0;
468 out[1] = 1 - local[0] - local[1] -local[2];
469 out[2] = local[0];
470 out[3] = 0;
471 out[4] = local[1];
472 out[5] = 0;
473 out[6] = 0;
474 out[7] = local[2];
475 out[8] = 0;
476 out[9] = 0;
477 break;
478
479 case 2 :
480
481 out[0] = 0;
482 out[1] = 0;
483 out[2] = 0;
484 out[3] = 1 - local[0] - local[1] -local[2];
485 out[4] = local[0];
486 out[5] = local[1];
487 out[6] = 0;
488 out[7] = 0;
489 out[8] = local[2];
490 out[9] = 0;
491 break;
492
493 case 3 :
494
495 out[0] = 0;
496 out[1] = 0;
497 out[2] = 0;
498 out[3] = 0;
499 out[4] = 0;
500 out[5] = 0;
501 out[6] = 1 - local[0] - local[1] -local[2];
502 out[7] = local[0];
503 out[8] = local[1];
504 out[9] = local[2];
505 break;
506
507 case 4 :
508
509 out[0] = 0;
510 out[1] = 1 - local[0] - local[1] -local[2];
511 out[2] = 0;
512 out[3] = local[0];
513 out[4] = 0;
514 out[5] = 0;
515 out[6] = local[1];
516 out[7] = local[2];
517 out[8] = 0;
518 out[9] = 0;
519 break;
520
521 case 5 :
522
523 out[0] = 0;
524 out[1] = local[1];
525 out[2] = 0;
526 out[3] = local[0];
527 out[4] = 1 - local[0] - local[1] -local[2];
528 out[5] = 0;
529 out[6] = 0;
530 out[7] = local[2];
531 out[8] = 0;
532 out[9] = 0;
533 break;
534
535 case 6 :
536
537 out[0] = 0;
538 out[1] = 0;
539 out[2] = 0;
540 out[3] = 1 - local[0] - local[1] -local[2];
541 out[4] = 0;
542 out[5] = 0;
543 out[6] = local[0];
544 out[7] = local[1];
545 out[8] = local[2];
546 out[9] = 0;
547 break;
548
549 case 7 :
550
551 out[0] = 0;
552 out[1] = 0;
553 out[2] = 0;
554 out[3] = 1 - local[0] - local[1] -local[2];
555 out[4] = local[2];
556 out[5] = 0;
557 out[6] = 0;
558 out[7] = local[1];
559 out[8] = local[0];
560 out[9] = 0;
561 break;
562 }
563
564 }
565
567 inline void
568 evaluateJacobian (const typename Traits::DomainType& in, // position
569 std::vector<typename Traits::JacobianType>& out) const // return value
570 {
571 out.resize(10);
572
573 int subElement;
574 typename Traits::DomainType local;
575 this->getSubElement(in, subElement, local);
576
577 switch (subElement) {
578 case 0 :
579
580 out[0][0][0] = -2; out[0][0][1] = -2; out[0][0][2] = -2;
581 out[1][0][0] = 2; out[1][0][1] = 0; out[1][0][2] = 0;
582 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
583 out[3][0][0] = 0; out[3][0][1] = 2; out[3][0][2] = 0;
584 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
585 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
586 out[6][0][0] = 0; out[6][0][1] = 0; out[6][0][2] = 2;
587 out[7][0][0] = 0; out[7][0][1] = 0; out[7][0][2] = 0;
588 out[8][0][0] = 0; out[8][0][1] = 0; out[8][0][2] = 0;
589 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
590 break;
591
592 case 1 :
593
594 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
595 out[1][0][0] = -2; out[1][0][1] = -2; out[1][0][2] = -2;
596 out[2][0][0] = 2; out[2][0][1] = 0; out[2][0][2] = 0;
597 out[3][0][0] = 0; out[3][0][1] = 0; out[3][0][2] = 0;
598 out[4][0][0] = 0; out[4][0][1] = 2; out[4][0][2] = 0;
599 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
600 out[6][0][0] = 0; out[6][0][1] = 0; out[6][0][2] = 0;
601 out[7][0][0] = 0; out[7][0][1] = 0; out[7][0][2] = 2;
602 out[8][0][0] = 0; out[8][0][1] = 0; out[8][0][2] = 0;
603 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
604 break;
605
606 case 2 :
607
608 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
609 out[1][0][0] = 0; out[1][0][1] = 0; out[1][0][2] = 0;
610 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
611 out[3][0][0] = -2; out[3][0][1] = -2; out[3][0][2] = -2;
612 out[4][0][0] = 2; out[4][0][1] = 0; out[4][0][2] = 0;
613 out[5][0][0] = 0; out[5][0][1] = 2; out[5][0][2] = 0;
614 out[6][0][0] = 0; out[6][0][1] = 0; out[6][0][2] = 0;
615 out[7][0][0] = 0; out[7][0][1] = 0; out[7][0][2] = 0;
616 out[8][0][0] = 0; out[8][0][1] = 0; out[8][0][2] = 2;
617 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
618 break;
619
620 case 3 :
621
622 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
623 out[1][0][0] = 0; out[1][0][1] = 0; out[1][0][2] = 0;
624 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
625 out[3][0][0] = 0; out[3][0][1] = 0; out[3][0][2] = 0;
626 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
627 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
628 out[6][0][0] = -2; out[6][0][1] = -2; out[6][0][2] = -2;
629 out[7][0][0] = 2; out[7][0][1] = 0; out[7][0][2] = 0;
630 out[8][0][0] = 0; out[8][0][1] = 2; out[8][0][2] = 0;
631 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 2;
632 break;
633
634 case 4 :
635
636 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
637 out[1][0][0] = 0; out[1][0][1] = -2; out[1][0][2] = -2;
638 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
639 out[3][0][0] = 0; out[3][0][1] = 2; out[3][0][2] = 0;
640 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
641 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
642 out[6][0][0] = -2; out[6][0][1] = -2; out[6][0][2] = 0;
643 out[7][0][0] = 2; out[7][0][1] = 2; out[7][0][2] = 2;
644 out[8][0][0] = 0; out[8][0][1] = 0; out[8][0][2] = 0;
645 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
646 break;
647
648 case 5 :
649
650 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
651 out[1][0][0] = 0; out[1][0][1] = -2; out[1][0][2] = -2;
652 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
653 out[3][0][0] = -2; out[3][0][1] = 0; out[3][0][2] = 0;
654 out[4][0][0] = 2; out[4][0][1] = 2; out[4][0][2] = 0;
655 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
656 out[6][0][0] = 0; out[6][0][1] = 0; out[6][0][2] = 0;
657 out[7][0][0] = 0; out[7][0][1] = 0; out[7][0][2] = 2;
658 out[8][0][0] = 0; out[8][0][1] = 0; out[8][0][2] = 0;
659 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
660 break;
661
662 case 6 :
663
664 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
665 out[1][0][0] = 0; out[1][0][1] = 0; out[1][0][2] = 0;
666 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
667 out[3][0][0] = 0; out[3][0][1] = 0; out[3][0][2] = -2;
668 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 0;
669 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
670 out[6][0][0] = -2; out[6][0][1] = -2; out[6][0][2] = 0;
671 out[7][0][0] = 2; out[7][0][1] = 0; out[7][0][2] = 0;
672 out[8][0][0] = 0; out[8][0][1] = 2; out[8][0][2] = 2;
673 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
674 break;
675
676 case 7 :
677
678 out[0][0][0] = 0; out[0][0][1] = 0; out[0][0][2] = 0;
679 out[1][0][0] = 0; out[1][0][1] = 0; out[1][0][2] = 0;
680 out[2][0][0] = 0; out[2][0][1] = 0; out[2][0][2] = 0;
681 out[3][0][0] = -2; out[3][0][1] = -2; out[3][0][2] = -2;
682 out[4][0][0] = 2; out[4][0][1] = 2; out[4][0][2] = 0;
683 out[5][0][0] = 0; out[5][0][1] = 0; out[5][0][2] = 0;
684 out[6][0][0] = 0; out[6][0][1] = 0; out[6][0][2] = 0;
685 out[7][0][0] = 0; out[7][0][1] = -2; out[7][0][2] = 0;
686 out[8][0][0] = 0; out[8][0][1] = 2; out[8][0][2] = 2;
687 out[9][0][0] = 0; out[9][0][1] = 0; out[9][0][2] = 0;
688 break;
689 }
690 }
691
693 void partial (const std::array<unsigned int, 3>& order,
694 const typename Traits::DomainType& in, // position
695 std::vector<typename Traits::RangeType>& out) const // return value
696 {
697 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
698 if (totalOrder == 0) {
699 evaluateFunction(in, out);
700 } else if (totalOrder == 1) {
701 int subElement;
702 typename Traits::DomainType local;
703 this->getSubElement(in, subElement, local);
704
705 auto const direction = std::distance(order.begin(), std::find(order.begin(), order.end(), 1));
706 out.resize(size());
707
708 for (std::size_t i = 0; i < size(); ++i)
709 out[i] = 0;
710
711 switch (direction) {
712 case 0: // direction == 0
713
714 switch (subElement) {
715 case 0 :
716 out[0] = -2;
717 out[1] = 2;
718 break;
719 case 1 :
720 out[1] = -2;
721 out[2] = 2;
722 break;
723 case 2 :
724 out[3] = -2;
725 out[4] = 2;
726 break;
727 case 3 :
728 out[6] = -2;
729 out[7] = 2;
730 break;
731 case 4 :
732 out[6] = -2;
733 out[7] = 2;
734 break;
735 case 5 :
736 out[3] = -2;
737 out[4] = 2;
738 break;
739 case 6 :
740 out[6] = -2;
741 out[7] = 2;
742 break;
743 case 7 :
744 out[3] = -2;
745 out[4] = 2;
746 break;
747 }
748 break;
749
750 case 1: // direction == 1
751
752 switch (subElement) {
753 case 0 :
754 out[0] = -2;
755 out[3] = 2;
756 break;
757 case 1 :
758 out[1] = -2;
759 out[4] = 2;
760 break;
761 case 2 :
762 out[3] = -2;
763 out[5] = 2;
764 break;
765 case 3 :
766 out[6] = -2;
767 out[8] = 2;
768 break;
769 case 4 :
770 out[1] = -2;
771 out[3] = 2;
772 out[6] = -2;
773 break;
774 case 5 :
775 out[1] = -2;
776 out[4] = 2;
777 break;
778 case 6 :
779 out[6] = -2;
780 out[8] = 2;
781 break;
782 case 7 :
783 out[3] = -2;
784 out[4] = 2;
785 out[7] = -2;
786 out[8] = 2;
787 break;
788 }
789 break;
790
791 case 2: // direction == 2
792
793 switch (subElement) {
794 case 0 :
795 out[0] = -2;
796 out[6] = 2;
797 break;
798 case 1 :
799 out[1] = -2;
800 out[7] = 2;
801 break;
802 case 2 :
803 out[3] = -2;
804 out[8] = 2;
805 break;
806 case 3 :
807 out[6] = -2;
808 out[9] = 2;
809 break;
810 case 4 :
811 out[1] = -2;
812 out[7] = 2;
813 break;
814 case 5 :
815 out[1] = -2;
816 out[7] = 2;
817 break;
818 case 6 :
819 out[3] = -2;
820 out[8] = 2;
821 break;
822 case 7 :
823 out[3] = -2;
824 out[8] = 2;
825 break;
826 }
827 break;
828
829 default:
830 DUNE_THROW(RangeError, "Component out of range.");
831 }
832 } else {
833 out.resize(size());
834 for (std::size_t i = 0; i < size(); ++i)
835 out[i] = 0;
836 }
837 }
838
842 static constexpr unsigned int order ()
843 {
844 return 1;
845 }
846
847 };
848}
849#endif
refinedsimplexlocalbasis.hh
Contains a base class for LocalBasis classes based on uniform refinement.
Dune
Definition bdfmcube.hh:18
Dune::LocalBasisTraits
Type traits for LocalBasisVirtualInterface.
Definition common/localbasis.hh:35
Dune::RefinedSimplexLocalBasis::RefinedSimplexLocalBasis
RefinedSimplexLocalBasis()
Definition refinedsimplexlocalbasis.hh:22
Dune::RefinedSimplexLocalBasis< D, 1 >::getSubElement
static int getSubElement(const FieldVector< D, 1 > &global)
Get the number of the subelement containing a given point.
Definition refinedsimplexlocalbasis.hh:54
Dune::RefinedSimplexLocalBasis< D, 2 >::getSubElement
static int getSubElement(const FieldVector< D, 2 > &global)
Get the number of the subtriangle containing a given point.
Definition refinedsimplexlocalbasis.hh:121
Dune::RefinedSimplexLocalBasis< D, 3 >::getSubElement
static int getSubElement(const FieldVector< D, 3 > &global)
Get the number of the subsimplex containing a given point in the reference element.
Definition refinedsimplexlocalbasis.hh:218
Dune::RefinedP1LocalBasis::RefinedP1LocalBasis
RefinedP1LocalBasis()
Definition refinedp1localbasis.hh:25
Dune::RefinedP1LocalBasis< D, R, 1 >::Traits
LocalBasisTraits< D, 1, Dune::FieldVector< D, 1 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 1 > > Traits
export type traits for function signature
Definition refinedp1localbasis.hh:60
Dune::RefinedP1LocalBasis< D, R, 1 >::evaluateJacobian
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition refinedp1localbasis.hh:99
Dune::RefinedP1LocalBasis< D, R, 1 >::order
static constexpr unsigned int order()
Polynomial order of the shape functions Doesn't really apply: these shape functions are only piecewis...
Definition refinedp1localbasis.hh:163
Dune::RefinedP1LocalBasis< D, R, 1 >::evaluateFunction
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition refinedp1localbasis.hh:69
Dune::RefinedP1LocalBasis< D, R, 1 >::partial
void partial(const std::array< unsigned int, 1 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition refinedp1localbasis.hh:127
Dune::RefinedP1LocalBasis< D, R, 1 >::size
static constexpr unsigned int size()
number of shape functions
Definition refinedp1localbasis.hh:63
Dune::RefinedP1LocalBasis< D, R, 2 >::evaluateJacobian
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition refinedp1localbasis.hh:264
Dune::RefinedP1LocalBasis< D, R, 2 >::Traits
LocalBasisTraits< D, 2, Dune::FieldVector< D, 2 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 2 > > Traits
export type traits for function signature
Definition refinedp1localbasis.hh:202
Dune::RefinedP1LocalBasis< D, R, 2 >::evaluateFunction
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition refinedp1localbasis.hh:211
Dune::RefinedP1LocalBasis< D, R, 2 >::partial
void partial(const std::array< unsigned int, 2 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition refinedp1localbasis.hh:315
Dune::RefinedP1LocalBasis< D, R, 2 >::order
static constexpr unsigned int order()
Polynomial order of the shape functions Doesn't really apply: these shape functions are only piecewis...
Definition refinedp1localbasis.hh:389
Dune::RefinedP1LocalBasis< D, R, 2 >::size
static constexpr unsigned int size()
number of shape functions
Definition refinedp1localbasis.hh:205
Dune::RefinedP1LocalBasis< D, R, 3 >::partial
void partial(const std::array< unsigned int, 3 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition refinedp1localbasis.hh:693
Dune::RefinedP1LocalBasis< D, R, 3 >::evaluateFunction
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition refinedp1localbasis.hh:441
Dune::RefinedP1LocalBasis< D, R, 3 >::Traits
LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 3 > > Traits
export type traits for function signature
Definition refinedp1localbasis.hh:432
Dune::RefinedP1LocalBasis< D, R, 3 >::size
static constexpr unsigned int size()
number of shape functions
Definition refinedp1localbasis.hh:435
Dune::RefinedP1LocalBasis< D, R, 3 >::order
static constexpr unsigned int order()
Polynomial order of the shape functions Doesn't really apply: these shape functions are only piecewis...
Definition refinedp1localbasis.hh:842
Dune::RefinedP1LocalBasis< D, R, 3 >::evaluateJacobian
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition refinedp1localbasis.hh:568
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