20 {
21
23
24 try {
25
26 moab::Core mb_instance;
27 moab::Interface &moab = mb_instance;
29
30
31 enum bases {
32 LEGENDREPOLYNOMIAL,
33 LOBATTOPOLYNOMIAL,
34 JACOBIPOLYNOMIAL,
35 INTEGRATEDJACOBIPOLYNOMIAL,
36 H1TET_AINSWORTH,
37 H1TET_BERNSTEIN_BEZIER,
38 HDIVTET_AINSWORTH,
39 HDIVTET_DEMKOWICZ,
40 HCURLTET_AINSWORTH,
41 HCURLTET_DEMKOWICZ,
42 L2TET,
43 H1TRI_AINSWORTH,
44 H1TRI_BERNSTEIN_BEZIER,
45 H1QUAD,
46 HDIVTRI_AINSWORTH,
47 HDIVTRI_DEMKOWICZ,
48 HCURLTRI_AINSWORTH,
49 HCURLTRI_DEMKOWICZ,
50 L2TRI,
51 H1EDGE_AINSWORTH,
52 H1EDGE_BERNSTEIN_BEZIER,
53 HCURLEDGE_AINSWORTH,
54 HCURLEDGE_DEMKOWICZ,
55 L2EDGE,
56 H1FLATPRIS,
57 H1FATPRISM,
59 };
60
61 const char *list[] = {"legendre",
62 "lobatto",
63 "jacobi",
64 "integrated_jacobi",
65 "h1tet_ainsworth",
66 "h1tet_bernstein_bezier",
67 "hdivtet_ainsworth",
68 "hdivtet_demkowicz",
69 "hcurltet_ainsworth",
70 "hcurltet_demkowicz",
71 "l2tet",
72 "h1tri_ainsworth",
73 "h1tri_bernstein_bezier",
74 "h1quad",
75 "hdivtri_ainsworth",
76 "hdivtri_demkowicz",
77 "hcurltri_ainsworth",
78 "hcurltri_demkowicz",
79 "l2tri",
80 "h1edge_ainsworth",
81 "h1edge_bernstein_bezier",
82 "hcurledge_ainsworth",
83 "hcurledge_demkowicz",
84 "l2edge",
85 "h1flatprism",
86 "h1fatprism"};
87
88 PetscBool flg;
89 PetscInt choice_value = LEGENDREPOLYNOMIAL;
91 &choice_value, &flg);
93 if (flg != PETSC_TRUE) {
95 }
96
98 pts_1d(0, 0) = -0.5;
99 pts_1d(0, 1) = 0.;
100 pts_1d(0, 2) = +0.5;
101
102 boost::shared_ptr<MatrixDouble> base_ptr(
new MatrixDouble);
103 boost::shared_ptr<MatrixDouble> diff_base_ptr(
new MatrixDouble);
104
105 const double eps = 1e-3;
106
107 if (choice_value == LEGENDREPOLYNOMIAL) {
108 double diff_s = 1;
111 4, &diff_s, 1, base_ptr, diff_base_ptr)));
113
114 std::cout << "LegendrePolynomial\n";
115 std::cout << pts_1d << std::endl;
116 std::cout << *base_ptr << std::endl;
117 std::cout << *diff_base_ptr << std::endl;
120 std::cout << sum << std::endl;
121 std::cout << diff_sum << std::endl;
122 if (fabs(2.04688 - sum) >
eps) {
124 }
125 if (fabs(2.25 - diff_sum) >
eps) {
127 }
128 }
129
130 pts_1d.resize(1, 11, false);
131 for (int ii = 0; ii != 11; ii++) {
132 pts_1d(0, ii) = 2 * ((
double)ii / 10) - 1;
133 }
134
135 boost::shared_ptr<MatrixDouble> kernel_base_ptr(
new MatrixDouble);
136 boost::shared_ptr<MatrixDouble> diff_kernel_base_ptr(
new MatrixDouble);
137
138 if (choice_value == LOBATTOPOLYNOMIAL) {
139 double diff_s = 1;
142 7 + 2, &diff_s, 1, base_ptr, diff_base_ptr)));
145 pts_1d,
147 7, &diff_s, 1, kernel_base_ptr, diff_kernel_base_ptr)));
149 for (int ii = 0; ii != 11; ii++) {
150 double s = pts_1d(0, ii);
151 std::cerr << "lobatto_plot " << s << " " << (*base_ptr)(ii, 1) << " "
152 << (*diff_base_ptr)(ii, 1) << " " << (*kernel_base_ptr)(ii, 1)
153 << " " << (*diff_kernel_base_ptr)(ii, 1) << " "
154 << (*kernel_base_ptr)(ii, 1) * (1 - s * s) << " "
155 << (*kernel_base_ptr)(ii, 1) * (-2 * s) +
156 (*diff_kernel_base_ptr)(ii, 1) * (1 - s * s)
157 << " " << std::endl;
158 }
159 std::cout << "LobattoPolynomial\n";
160 std::cout << pts_1d << std::endl;
161 std::cout << *base_ptr << std::endl;
162 std::cout << *diff_base_ptr << std::endl;
163 {
166 std::cout << sum << std::endl;
167 std::cout << diff_sum << std::endl;
168 if (fabs(9.39466 - sum) >
eps) {
170 }
171 if (fabs(14.0774 - diff_sum) >
eps) {
173 }
174 }
175 {
177 double diff_sum =
sum_matrix(*diff_kernel_base_ptr);
178 std::cout << sum << std::endl;
179 std::cout << diff_sum << std::endl;
180 if (fabs(-13.9906 * 4 - sum) >
eps) {
182 }
183 if (fabs(-101.678 * 4 - diff_sum) >
eps) {
185 }
186 }
187 }
188
189 if (choice_value == JACOBIPOLYNOMIAL) {
190
193 pts_1d.resize(1,
n,
false);
195 for (
int ii = 0; ii !=
n; ii++) {
196 pts_1d(0, ii) = (
double)ii / (
n - 1);
197 pts_1d_t(0, ii) = 1;
198 }
199
200 base_ptr->clear();
201 diff_base_ptr->clear();
202
203 double diff_x = 1;
204 double diff_t = 0;
206 pts_1d, pts_1d_t,
208 5, &diff_x, &diff_t, 1, 0, base_ptr, diff_base_ptr)));
210 for (
int ii = 0; ii !=
n; ii++) {
211 double s = pts_1d(0, ii);
212 std::cerr << "jacobi_plot " << s << " " << (*base_ptr)(ii, 4) << " "
213 << (*diff_base_ptr)(ii, 4) << std::endl;
214 }
215 for (
int ii = 0; ii !=
n - 1; ii++) {
216 double s = (pts_1d(0, ii) + pts_1d(0, ii + 1)) / 2;
217 std::cerr << "jacobi_diff_plot_fd " << s << " "
218 << ((*base_ptr)(ii + 1, 4) - (*base_ptr)(ii, 4)) /
220 << std::endl;
221 }
222 std::cout << "JacobiPolynomial\n";
223 std::cout << pts_1d << std::endl;
224 std::cout << *base_ptr << std::endl;
225 std::cout << *diff_base_ptr << std::endl;
226 {
229 std::cout << sum << std::endl;
230 std::cout << diff_sum << std::endl;
231 if (fabs(23.2164 - sum) >
eps) {
233 }
234 if (fabs(167.995 - diff_sum) >
eps) {
236 }
237 }
238 }
239
240 if (choice_value == INTEGRATEDJACOBIPOLYNOMIAL) {
241
244 pts_1d.resize(1,
n,
false);
246 for (
int ii = 0; ii !=
n; ii++) {
247 pts_1d(0, ii) = (
double)ii / 20.;
248 pts_1d_t(0, ii) = 1 - pts_1d(0, ii);
249 }
250
251 base_ptr->clear();
252 diff_base_ptr->clear();
253
254 double diff_x = 1;
255 double diff_t = 0;
257 pts_1d, pts_1d_t,
259 6, &diff_x, &diff_t, 1, 1, base_ptr, diff_base_ptr)));
261 for (
int ii = 0; ii !=
n; ii++) {
262 double s = pts_1d(0, ii);
263 std::cerr <<
"integrated_jacobi_plot " << s <<
" " << (
double)ii / 20.
264 << " " << (*base_ptr)(ii, 1) << " " << (*base_ptr)(ii, 2)
265 << " " << (*base_ptr)(ii, 3) << " " << (*base_ptr)(ii, 4)
266 << " " << (*base_ptr)(ii, 5) << endl;
267 ;
268
269 }
270 std::cout << "IntegratedJacobiPolynomial\n";
271 std::cout << pts_1d << std::endl;
272 std::cout << *base_ptr << std::endl;
273 std::cout << *diff_base_ptr << std::endl;
274 {
277 std::cout << sum << std::endl;
278 std::cout << diff_sum << std::endl;
279
280
281
282
283
284
285 }
286 }
287
289 for (
int type = MBVERTEX;
type != MBMAXTYPE;
type++) {
290 tet_data.spacesOnEntities[
type].set(
L2);
291 tet_data.spacesOnEntities[
type].set(
H1);
292 tet_data.spacesOnEntities[
type].set(
HDIV);
293 tet_data.spacesOnEntities[
type].set(
HCURL);
294 }
295 tet_data.dataOnEntities[MBVERTEX].resize(1);
296 tet_data.dataOnEntities[MBVERTEX][0].getOrder() = 1;
297 tet_data.dataOnEntities[MBEDGE].resize(6);
298 for (int ee = 0; ee < 6; ee++) {
299 tet_data.dataOnEntities[MBEDGE][ee].getOrder() = 3;
300 tet_data.dataOnEntities[MBEDGE][ee].getSense() = 1;
301 }
302 tet_data.dataOnEntities[MBTRI].resize(4);
303 for (int ff = 0; ff < 4; ff++) {
304 tet_data.dataOnEntities[MBTRI][ff].getOrder() = 4;
305 tet_data.dataOnEntities[MBTRI][ff].getSense() = 1;
306 }
307 tet_data.dataOnEntities[MBTET].resize(1);
308 tet_data.dataOnEntities[MBTET][0].getOrder() = 5;
309 tet_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(4, false);
310 std::fill(tet_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
311 tet_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().end(), 5);
312
314 int tet_rule = 2;
316 pts_tet.resize(3, nb_gauss_pts, false);
317 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[1], 4,
318 &pts_tet(0, 0), 1);
319 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[2], 4,
320 &pts_tet(1, 0), 1);
321 cblas_dcopy(nb_gauss_pts, &
QUAD_3D_TABLE[tet_rule]->points[3], 4,
322 &pts_tet(2, 0), 1);
323 tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 4,
324 false);
325 {
326 double *shape_ptr =
327 &*tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).data().begin();
328 cblas_dcopy(4 * nb_gauss_pts,
QUAD_3D_TABLE[tet_rule]->points, 1,
329 shape_ptr, 1);
330 }
331 tet_data.facesNodes.resize(4, 3);
332 const int cannonical_tet_face[4][3] = {
333 {0, 1, 3}, {1, 2, 3}, {0, 3, 2}, {0, 2, 1}};
334 for (int ff = 0; ff < 4; ff++) {
335 for (int nn = 0; nn < 3; nn++) {
336 tet_data.facesNodes(ff, nn) = cannonical_tet_face[ff][nn];
337 }
338 }
339
340 if (choice_value == H1TET_AINSWORTH) {
341
342 tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 4,
343 false);
345 &*tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).data().begin(),
346 &pts_tet(0, 0), &pts_tet(1, 0), &pts_tet(2, 0), nb_gauss_pts);
348
350 pts_tet,
354 if (tet_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
355 tet_data.dataOnEntities[MBVERTEX][0]
357 .get()) {
359 "Different pointers");
360 }
361
362 double sum = 0, diff_sum = 0;
363 std::cout << "Edges\n";
364 for (int ee = 0; ee < 6; ee++) {
365 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getN(
367 << std::endl;
368 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
370 << std::endl;
373 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
375 }
376 std::cout << "Faces\n";
377 for (int ff = 0; ff < 4; ff++) {
378 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN(
380 << std::endl;
381 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN(
383 << std::endl;
386 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBTRI][ff].getDiffN(
388 }
389 std::cout << "Tets\n";
390 std::cout << tet_data.dataOnEntities[MBTET][0].getN(
392 << std::endl;
393 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
395 << std::endl;
400 std::cout << "sum " << sum << std::endl;
401 std::cout << "diff_sum " << diff_sum << std::endl;
402 if (fabs(1.3509 - sum) >
eps) {
404 }
405 if (fabs(0.233313 - diff_sum) >
eps) {
407 }
408 }
409
410 if (choice_value == H1TET_BERNSTEIN_BEZIER) {
411
412 tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 4,
413 false);
415 &*tet_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).data().begin(),
416 &pts_tet(0, 0), &pts_tet(1, 0), &pts_tet(2, 0), nb_gauss_pts);
421 if (tet_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() ==
422 tet_data.dataOnEntities[MBVERTEX][0]
424 .get())
426
427 double sum = 0, diff_sum = 0;
428 std::cout << "Vertices\n";
429 std::cout << tet_data.dataOnEntities[MBVERTEX][0].getN("TEST_FIELD")
430 << std::endl;
431 std::cout << tet_data.dataOnEntities[MBVERTEX][0].getDiffN("TEST_FIELD")
432 << std::endl;
433 sum +=
434 sum_matrix(tet_data.dataOnEntities[MBVERTEX][0].getN(
"TEST_FIELD"));
436 tet_data.dataOnEntities[MBVERTEX][0].getDiffN("TEST_FIELD"));
437 std::cout << "Edges\n";
438 for (int ee = 0; ee < 6; ee++) {
439 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getN("TEST_FIELD")
440 << std::endl;
441 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getDiffN("TEST_FIELD")
442 << std::endl;
443 sum +=
444 sum_matrix(tet_data.dataOnEntities[MBEDGE][ee].getN(
"TEST_FIELD"));
446 tet_data.dataOnEntities[MBEDGE][ee].getDiffN("TEST_FIELD"));
447 }
448 std::cout << "Faces\n";
449 for (int ff = 0; ff < 4; ff++) {
450 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN("TEST_FIELD")
451 << std::endl;
452 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN("TEST_FIELD")
453 << std::endl;
454 sum +=
455 sum_matrix(tet_data.dataOnEntities[MBTRI][ff].getN(
"TEST_FIELD"));
457 tet_data.dataOnEntities[MBTRI][ff].getDiffN("TEST_FIELD"));
458 }
459 std::cout << "Tets\n";
460 std::cout << tet_data.dataOnEntities[MBTET][0].getN("TEST_FIELD")
461 << std::endl;
462 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN("TEST_FIELD")
463 << std::endl;
464 sum +=
sum_matrix(tet_data.dataOnEntities[MBTET][0].getN(
"TEST_FIELD"));
465 diff_sum +=
466 sum_matrix(tet_data.dataOnEntities[MBTET][0].getDiffN(
"TEST_FIELD"));
467 std::cout << "sum " << sum << std::endl;
468 std::cout << "diff_sum " << diff_sum << std::endl;
469 if (fabs(4.38395 - sum) >
eps) {
471 }
472 if (fabs(diff_sum) >
eps) {
474 }
475 }
476
477 if (choice_value == HDIVTET_AINSWORTH) {
482 double sum = 0, diff_sum = 0;
483 std::cout << "Faces\n";
484 for (int ff = 0; ff < 4; ff++) {
485 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN(
487 << std::endl;
488 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN(
490 << std::endl;
493 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBTRI][ff].getDiffN(
495 }
496 std::cout << "Tets\n";
497 std::cout << tet_data.dataOnEntities[MBTET][0].getN(
499 << std::endl;
500 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
502 << std::endl;
507 std::cout << "sum " << 1e8 * sum << std::endl;
508 std::cout << "diff_sum " << 1e8 * diff_sum << std::endl;
509 if (fabs(0.188636 - sum) >
eps) {
511 }
512 if (fabs(32.9562 - diff_sum) >
eps) {
514 }
515 }
516
517 if (choice_value == HDIVTET_DEMKOWICZ) {
522 double sum = 0, diff_sum = 0;
523 std::cout << "Faces\n";
524 for (int ff = 0; ff < 4; ff++) {
525 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN(
527 << std::endl;
528 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN(
530 << std::endl;
535 }
536 std::cout << "Tets\n";
538 << std::endl;
539 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
541 << std::endl;
546 std::cout << "sum " << sum << std::endl;
547 std::cout << "diff_sum " << diff_sum << std::endl;
548 const double expected_result = -2.70651;
549 const double expected_diff_result = 289.421;
550 if (fabs((expected_result - sum) / expected_result) >
eps) {
552 }
553 if (fabs((expected_diff_result - diff_sum) / expected_diff_result) >
556 }
557 }
558
559 if (choice_value == HCURLTET_AINSWORTH) {
564 double sum = 0, diff_sum = 0;
565 std::cout << "Edges\n";
566 for (int ee = 0; ee < 6; ee++) {
567 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getN(
569 << std::endl;
570 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
572 << std::endl;
575 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
577 }
578 std::cout << "Faces\n";
579 for (int ff = 0; ff < 4; ff++) {
580 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN(
582 << std::endl;
583 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN(
585 << std::endl;
588 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBTRI][ff].getDiffN(
590 }
591 std::cout << "Tets\n";
592 std::cout << tet_data.dataOnEntities[MBTET][0].getN(
594 << std::endl;
595 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
597 << std::endl;
602 std::cout << "sum " << sum << std::endl;
603 std::cout << "diff_sum " << diff_sum << std::endl;
604 if (fabs(-1.7798 - sum) >
eps) {
606 }
607 if (fabs(-67.1793 - diff_sum) >
eps) {
609 }
610 }
611
612 if (choice_value == HCURLTET_DEMKOWICZ) {
616 double sum = 0, diff_sum = 0;
617 std::cout << "Edges\n";
618 for (int ee = 0; ee < 6; ee++) {
619 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getN(
621 << std::endl;
622 std::cout << tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
624 << std::endl;
627 diff_sum +=
sum_matrix(tet_data.dataOnEntities[MBEDGE][ee].getDiffN(
629 }
630 std::cout << "Faces\n";
631 for (int ff = 0; ff < 4; ff++) {
632 std::cout << tet_data.dataOnEntities[MBTRI][ff].getN(
634 << std::endl;
635 std::cout << tet_data.dataOnEntities[MBTRI][ff].getDiffN(
637 << std::endl;
642 }
643 std::cout << "Tets\n";
645 << std::endl;
646 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
648 << std::endl;
653 std::cout << "sum " << sum << std::endl;
654 std::cout << "diff_sum " << diff_sum << std::endl;
655 if (fabs(7.35513 - sum) >
eps) {
657 }
658 if (fabs(62.4549 - diff_sum) >
eps) {
660 }
661 }
662
663 if (choice_value == L2TET) {
668 double sum = 0, diff_sum = 0;
669 std::cout << "Tets\n";
670 std::cout << tet_data.dataOnEntities[MBTET][0].getN(
672 << std::endl;
673 std::cout << tet_data.dataOnEntities[MBTET][0].getDiffN(
675 << std::endl;
680 std::cout << "sum " << sum << std::endl;
681 std::cout << "diff_sum " << diff_sum << std::endl;
682 if (fabs(3.60352 - sum) >
eps) {
684 }
685 if (fabs(-36.9994 - diff_sum) >
eps) {
687 }
688 }
689
691 for (
int type = MBVERTEX;
type != MBMAXTYPE;
type++) {
692 tri_data.spacesOnEntities[
type].set(
L2);
693 tri_data.spacesOnEntities[
type].set(
H1);
694 tri_data.spacesOnEntities[
type].set(
HDIV);
695 tri_data.spacesOnEntities[
type].set(
HCURL);
696 }
697 tri_data.dataOnEntities[MBVERTEX].resize(1);
698 tri_data.dataOnEntities[MBVERTEX][0].getOrder() = 1;
699 tri_data.dataOnEntities[MBEDGE].resize(3);
700 for (int ee = 0; ee < 3; ee++) {
701 tri_data.dataOnEntities[MBEDGE][ee].getOrder() = 3;
702 tri_data.dataOnEntities[MBEDGE][ee].getSense() = 1;
703 }
704 tri_data.dataOnEntities[MBTRI].resize(1);
705 tri_data.dataOnEntities[MBTRI][0].getOrder() = 4;
706 tri_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(3, false);
707 std::fill(tri_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
708 tri_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().end(), 4);
709
711 int tri_rule = 2;
713 pts_tri.resize(2, nb_gauss_pts, false);
714 cblas_dcopy(nb_gauss_pts, &
QUAD_2D_TABLE[tri_rule]->points[1], 3,
715 &pts_tri(0, 0), 1);
716 cblas_dcopy(nb_gauss_pts, &
QUAD_2D_TABLE[tri_rule]->points[2], 3,
717 &pts_tri(1, 0), 1);
718 tri_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 3,
719 false);
720 {
721 double *shape_ptr =
722 &*tri_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).data().begin();
723 cblas_dcopy(3 * nb_gauss_pts,
QUAD_2D_TABLE[tri_rule]->points, 1,
724 shape_ptr, 1);
725 }
726 tri_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE).resize(3, 2,
false);
728 &*tri_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE).data().begin());
730
731 if (choice_value == H1TRI_AINSWORTH) {
735 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
736 tri_data.dataOnEntities[MBVERTEX][0]
738 .get())
740 "Different pointers");
741
742 double sum = 0, diff_sum = 0;
743 std::cout << "Edges\n";
744 for (int ee = 0; ee < 3; ee++) {
745 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getN(
747 << std::endl;
748 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getDiffN(
750 << std::endl;
753 diff_sum +=
sum_matrix(tri_data.dataOnEntities[MBEDGE][ee].getDiffN(
755 }
756 std::cout << "Face\n";
757 std::cout << tri_data.dataOnEntities[MBTRI][0].getN(
759 << std::endl;
760 std::cout << tri_data.dataOnEntities[MBTRI][0].getDiffN(
762 << std::endl;
767 std::cout << "sum " << sum << std::endl;
768 std::cout << "diff_sum " << diff_sum << std::endl;
769 if (fabs(0.805556 - sum) >
eps)
771
772 if (fabs(0.0833333 - diff_sum) >
eps)
774 }
775
776 if (choice_value == H1TRI_BERNSTEIN_BEZIER) {
781 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() ==
782 tri_data.dataOnEntities[MBVERTEX][0]
784 .get())
786 "Pointers should be diffrent");
787
788 double sum = 0, diff_sum = 0;
789 std::cout << "Vertex\n";
790 std::cout << tri_data.dataOnEntities[MBVERTEX][0].getN("TET_FIELD")
791 << std::endl;
792 std::cout << tri_data.dataOnEntities[MBVERTEX][0].getDiffN("TET_FIELD")
793 << std::endl;
794 sum +=
sum_matrix(tri_data.dataOnEntities[MBVERTEX][0].getN(
"TET_FIELD"));
796 tri_data.dataOnEntities[MBVERTEX][0].getDiffN("TET_FIELD"));
797 std::cout << "Edges\n";
798 for (int ee = 0; ee < 3; ee++) {
799 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getN("TET_FIELD")
800 << std::endl;
801 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getDiffN("TET_FIELD")
802 << std::endl;
803 sum +=
804 sum_matrix(tri_data.dataOnEntities[MBEDGE][ee].getN(
"TET_FIELD"));
806 tri_data.dataOnEntities[MBEDGE][ee].getDiffN("TET_FIELD"));
807 }
808 std::cout << "Face\n";
809 std::cout << tri_data.dataOnEntities[MBTRI][0].getN("TET_FIELD")
810 << std::endl;
811 std::cout << tri_data.dataOnEntities[MBTRI][0].getDiffN("TET_FIELD")
812 << std::endl;
813 sum +=
sum_matrix(tri_data.dataOnEntities[MBTRI][0].getN(
"TET_FIELD"));
814 diff_sum +=
815 sum_matrix(tri_data.dataOnEntities[MBTRI][0].getDiffN(
"TET_FIELD"));
816 std::cout << "sum " << sum << std::endl;
817 std::cout << "diff_sum " << diff_sum << std::endl;
818 if (std::abs(3.01389 - sum) >
eps)
820
821 if (std::abs(diff_sum) >
eps)
823 "wrong result %3.4e != $3.4e", 0, diff_sum);
824 }
825
826 if (choice_value == HDIVTRI_AINSWORTH) {
830 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
831 tri_data.dataOnEntities[MBVERTEX][0]
833 .get())
835 "Different pointers");
836
837 double sum = 0;
838 std::cout << "Face\n";
839 std::cout << tri_data.dataOnEntities[MBTRI][0].getN(
841 << std::endl;
844 std::cout << "sum " << sum << std::endl;
845 if (fabs(1.93056 - sum) >
eps)
847 }
848
849 if (choice_value == HDIVTRI_DEMKOWICZ) {
854 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
855 tri_data.dataOnEntities[MBVERTEX][0]
857 .get()) {
859 "Different pointers");
860 }
861 double sum = 0;
862 std::cout << "Face\n";
864 << std::endl;
867 std::cout << "sum " << sum << std::endl;
868 const double expected_result = 28.25;
869 if (fabs((expected_result - sum) / expected_result) >
eps) {
871 }
872 }
873
874 if (choice_value == HCURLTRI_AINSWORTH) {
879 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
880 tri_data.dataOnEntities[MBVERTEX][0]
882 .get()) {
884 "Different pointers");
885 }
886 double sum = 0;
887 std::cout << "Edges\n";
888 for (int ee = 0; ee < 3; ee++) {
889 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getN(
891 << std::endl;
894 }
895 std::cout << "Face\n";
896 std::cout << tri_data.dataOnEntities[MBTRI][0].getN(
898 << std::endl;
901 std::cout << "sum " << sum << std::endl;
902 if (fabs(0.333333 - sum) >
eps) {
904 }
905 }
906
907 if (choice_value == HCURLTRI_DEMKOWICZ) {
911 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
912 tri_data.dataOnEntities[MBVERTEX][0]
914 .get()) {
916 "Different pointers");
917 }
918 double sum = 0;
919 std::cout << "Edges\n";
920 for (int ee = 0; ee < 3; ee++) {
921 std::cout << tri_data.dataOnEntities[MBEDGE][ee].getN(
923 << std::endl;
926 }
927 std::cout << "Face\n";
929 << std::endl;
932 std::cout << "sum " << sum << std::endl;
933 if (fabs(1.04591 - sum) >
eps) {
935 }
936 }
937
938 if (choice_value == L2TRI) {
943 if (tri_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
944 tri_data.dataOnEntities[MBVERTEX][0]
946 .get()) {
948 "Different pointers");
949 }
950 double sum = 0;
951 std::cout << "Face\n";
952 std::cout << tri_data.dataOnEntities[MBTRI][0].getN(
954 << std::endl;
957 std::cout << "sum " << sum << std::endl;
958 if (fabs(0.671875 - sum) >
eps) {
960 }
961 }
962
964 for (
int type = MBVERTEX;
type != MBMAXTYPE;
type++) {
965 edge_data.spacesOnEntities[
type].set(
L2);
966 edge_data.spacesOnEntities[
type].set(
H1);
967 edge_data.spacesOnEntities[
type].set(
HDIV);
968 edge_data.spacesOnEntities[
type].set(
HCURL);
969 }
970 edge_data.dataOnEntities[MBVERTEX].resize(1);
971 edge_data.dataOnEntities[MBVERTEX][0].getOrder() = 1;
972 edge_data.dataOnEntities[MBEDGE].resize(1);
973 edge_data.dataOnEntities[MBEDGE][0].getOrder() = 4;
974 edge_data.dataOnEntities[MBEDGE][0].getSense() = 1;
975 edge_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().resize(2, false);
976 std::fill(edge_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().begin(),
977 edge_data.dataOnEntities[MBVERTEX][0].getBBNodeOrder().end(), 4);
978
980 int edge_rule = 6;
982 pts_edge.resize(2, nb_gauss_pts, false);
983 cblas_dcopy(nb_gauss_pts, &
QUAD_1D_TABLE[edge_rule]->points[1], 2,
984 &pts_edge(0, 0), 1);
985 cblas_dcopy(nb_gauss_pts,
QUAD_1D_TABLE[edge_rule]->weights, 1,
986 &pts_edge(1, 0), 1);
987
988 edge_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 2,
989 false);
990 {
991 double *shape_ptr =
992 &*edge_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).data().begin();
993 cblas_dcopy(2 * nb_gauss_pts,
QUAD_1D_TABLE[edge_rule]->points, 1,
994 shape_ptr, 1);
995 }
996
997 if (choice_value == H1EDGE_AINSWORTH) {
1001 if (edge_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
1002 edge_data.dataOnEntities[MBVERTEX][0]
1004 .get()) {
1006 "Different pointers");
1007 }
1008 double sum = 0, diff_sum = 0;
1009 std::cout << "Edge\n";
1010 std::cout << edge_data.dataOnEntities[MBEDGE][0].getN(
1012 << std::endl;
1013 std::cout << edge_data.dataOnEntities[MBEDGE][0].getDiffN(
1015 << std::endl;
1018 diff_sum +=
sum_matrix(edge_data.dataOnEntities[MBEDGE][0].getDiffN(
1020 std::cout << "sum " << sum << std::endl;
1021 std::cout << "diff sum " << diff_sum << std::endl;
1022 if (std::abs(0.506122 - sum) >
eps)
1024
1025 if (std::abs(2.85714 - diff_sum) >
eps)
1027 }
1028
1029 if (choice_value == H1EDGE_BERNSTEIN_BEZIER) {
1034 if (edge_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() ==
1035 edge_data.dataOnEntities[MBVERTEX][0]
1037 .get())
1039 "Should be diffrent pointers");
1040
1041 double sum = 0, diff_sum = 0;
1042 std::cout << "Vertex\n";
1043 std::cout << edge_data.dataOnEntities[MBVERTEX][0].getN("TET_FIELD")
1044 << std::endl;
1045 std::cout << edge_data.dataOnEntities[MBVERTEX][0].getDiffN("TET_FIELD")
1046 << std::endl;
1047 std::cout << "Edge\n";
1048 std::cout << edge_data.dataOnEntities[MBEDGE][0].getN("TET_FIELD")
1049 << std::endl;
1050 std::cout << edge_data.dataOnEntities[MBEDGE][0].getDiffN("TET_FIELD")
1051 << std::endl;
1052 sum +=
1053 sum_matrix(edge_data.dataOnEntities[MBVERTEX][0].getN(
"TET_FIELD"));
1055 edge_data.dataOnEntities[MBVERTEX][0].getDiffN("TET_FIELD"));
1056 sum +=
sum_matrix(edge_data.dataOnEntities[MBEDGE][0].getN(
"TET_FIELD"));
1057 diff_sum +=
1058 sum_matrix(edge_data.dataOnEntities[MBEDGE][0].getDiffN(
"TET_FIELD"));
1059 std::cout << "sum " << sum << std::endl;
1060 std::cout << "diff sum " << diff_sum << std::endl;
1061 if (std::abs(4 - sum) >
eps)
1063
1064 if (std::abs(diff_sum) >
eps)
1066 }
1067
1068 if (choice_value == HCURLEDGE_AINSWORTH) {
1070 pts_edge,
1073 if (edge_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
1074 edge_data.dataOnEntities[MBVERTEX][0]
1076 .get()) {
1078 "Different pointers");
1079 }
1080 std::cout << edge_data.dataOnEntities[MBEDGE][0].getN(
1082 << std::endl;
1083 double sum = 0;
1086 std::cout.precision(std::numeric_limits<double>::max_digits10 - 1);
1087 std::cout << "sum " << sum << std::endl;
1088 if (fabs(-4.174149659863944 - sum) >
eps) {
1090 }
1091 }
1092
1093 if (choice_value == HCURLEDGE_DEMKOWICZ) {
1097 if (edge_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
1098 edge_data.dataOnEntities[MBVERTEX][0]
1100 .get()) {
1102 "Different pointers");
1103 }
1104 std::cout << edge_data.dataOnEntities[MBEDGE][0].getN(
1106 << std::endl;
1109 std::cout.precision(std::numeric_limits<double>::max_digits10 - 1);
1110 std::cout << "sum " << sum << std::endl;
1111 if (std::fabs(4.571428571428571 - sum) >
eps) {
1113 }
1114 }
1115
1116 if (choice_value == L2EDGE) {
1118 pts_edge,
1122 pts_edge,
1126 pts_edge,
1129
1134 std::cout << "sum " << sum << std::endl;
1135 if (std::fabs(sum) >
eps) {
1136 SETERRQ(
1138 "Difference between ainsworth and demkowicz base should be zero");
1139 }
1140
1141 auto order = edge_data.dataOnEntities[MBEDGE][0].getOrder();
1142 auto &base =
1144
1145 if (base.size1() != pts_edge.size2())
1147 "wrong number of integration points");
1150 "wrong number of base functions");
1151
1152 double ort_sum = 0;
1153 for (auto gg = 0; gg != pts_edge.size2(); ++gg) {
1154 double w = pts_edge(1, gg);
1158 ort_sum += base(gg,
i) * base(gg,
j) *
w;
1159 }
1160 }
1161 }
1162 }
1163 std::cout << "ort sum " << ort_sum << std::endl;
1164 if (std::fabs(ort_sum) >
eps) {
1165 SETERRQ(
1167 "check orthogonality of base");
1168 }
1169
1170 auto &diff_base =
1172 double ort_diff_sum = 0;
1173 for (auto gg = 0; gg != pts_edge.size2(); ++gg) {
1174 double w = pts_edge(1, gg);
1178 ort_diff_sum += diff_base(gg,
i) * diff_base(gg,
j) *
w;
1179 }
1180 }
1181 }
1182 }
1183 std::cout << "ort diff sum " << ort_diff_sum << std::endl;
1184 if (std::fabs(ort_diff_sum) >
eps) {
1186 "check orthogonality of diff lobatto base");
1187 }
1188
1189 }
1190
1192 for (
int type = MBVERTEX;
type != MBMAXTYPE;
type++) {
1193 quad_data.spacesOnEntities[
type].set(
H1);
1194 }
1195 quad_data.dataOnEntities[MBVERTEX].resize(1);
1196 quad_data.dataOnEntities[MBVERTEX][0].getOrder() = 1;
1197 quad_data.dataOnEntities[MBEDGE].resize(4);
1198 for (int ee = 0; ee < 4; ee++) {
1199 quad_data.dataOnEntities[MBEDGE][ee].getOrder() = 4;
1200 quad_data.dataOnEntities[MBEDGE][ee].getSense() = 1;
1201 }
1202 quad_data.dataOnEntities[MBQUAD].resize(1);
1203 quad_data.dataOnEntities[MBQUAD][0].getOrder() = 6;
1204
1206 int rule_ksi = 6;
1207 int rule_eta = 4;
1209 rule_eta);
1210 nb_gauss_pts = pts_quad.size2();
1211 quad_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE).resize(nb_gauss_pts, 4,
1212 false);
1213 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE).resize(nb_gauss_pts,
1214 8, false);
1215 for (
int i = 0;
i < nb_gauss_pts; ++
i) {
1216 quad_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE)(
i, 0) =
1218 quad_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE)(
i, 1) =
1220 quad_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE)(
i, 2) =
1222 quad_data.dataOnEntities[MBVERTEX][0].getN(
NOBASE)(
i, 3) =
1224
1225 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 0) =
1227 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 1) =
1229 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 2) =
1231 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 3) =
1233 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 4) =
1235 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 5) =
1237 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 6) =
1239 quad_data.dataOnEntities[MBVERTEX][0].getDiffN(
NOBASE)(
i, 7) =
1241 }
1242
1243 if (choice_value == H1QUAD) {
1247 if (quad_data.dataOnEntities[MBVERTEX][0].getNSharedPtr(
NOBASE).get() !=
1248 quad_data.dataOnEntities[MBVERTEX][0]
1250 .get()) {
1252 "Different pointers");
1253 }
1254 double sum = 0, diff_sum = 0;
1255 for (int ee = 0; ee < 4; ee++) {
1258 diff_sum +=
sum_matrix(quad_data.dataOnEntities[MBEDGE][ee].getDiffN(
1260 }
1263 diff_sum +=
sum_matrix(quad_data.dataOnEntities[MBQUAD][0].getDiffN(
1265
1266 std::cout << sum << " " << diff_sum << endl;
1267
1268 if (std::abs(3.58249 - sum) >
eps)
1270
1271
1272 if (std::abs(-0.134694 - diff_sum) >
eps)
1274
1275 }
1276 }
1278
1280}
#define CATCH_ERRORS
Catch errors.
@ AINSWORTH_LEGENDRE_BASE
Ainsworth Cole (Legendre) approx. base nme:nme847.
@ AINSWORTH_BERNSTEIN_BEZIER_BASE
@ L2
field with C-1 continuity
@ HCURL
field with continuous tangents
@ HDIV
field with continuous normal traction
@ CONTINUOUS
Regular field.
#define CHKERRG(n)
Check error code of MoFEM/MOAB/PETSc function.
@ MOFEM_DATA_INCONSISTENCY
#define CHKERR
Inline error check.
#define NBEDGE_L2(P)
Number of base functions on edge from L2 space.
FTensor::Index< 'i', SPACE_DIM > i
const double n
refractive index of diffusive medium
FTensor::Index< 'j', 3 > j
static MoFEMErrorCodeGeneric< PetscErrorCode > ierr
PetscErrorCode PetscOptionsGetEList(PetscOptions *, const char pre[], const char name[], const char *const *list, PetscInt next, PetscInt *value, PetscBool *set)
static QUAD *const QUAD_2D_TABLE[]
static QUAD *const QUAD_1D_TABLE[]
static QUAD *const QUAD_3D_TABLE[]
static MoFEMErrorCode Initialize(int *argc, char ***args, const char file[], const char help[])
Initializes the MoFEM database PETSc, MOAB and MPI.
static MoFEMErrorCode Finalize()
Checks for options to be called at the conclusion of the program.
Calculate base functions on tetrahedral.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Class used to pass element data to calculate base functions on tet,triangle,edge.
data structure for finite element entity
MoFEMErrorCode getValue(MatrixDouble &pts_x, MatrixDouble &pts_t, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Class used to give arguments to Legendre base functions.
Calculating Legendre base functions.
MoFEMErrorCode getValue(MatrixDouble &pts_x, MatrixDouble &pts_t, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Class used to give arguments to Kernel Lobatto base functions.
Calculating Lobatto base functions.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Class used to give arguments to Legendre base functions.
Calculating Legendre base functions.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Class used to give arguments to Lobatto base functions.
Calculating Lobatto base functions.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Calculate base functions on triangle.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Calculate base functions on tetrahedral.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
Calculate base functions on triangle.
MoFEMErrorCode getValue(MatrixDouble &pts, boost::shared_ptr< BaseFunctionCtx > ctx_ptr)
static double sum_matrix(MatrixDouble &m)