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Hcurl.hpp
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1/** \file Hcurl.hpp
2
3 \brief Implementation of H-curl base function.
4
5 Based on Hierarchic Finite Element Bases on Unstructured Tetrahedral
6 Meshes, by \cite NME:NME847 and \cite fuentes2015orientation
7 Shape functions for MBTRI/MBTET and HCurl space
8
9*/
10
11#ifndef __HCURL_HPP__
12#define __HCURL_HPP__
13
14namespace MoFEM {
15
16/**
17 * \brief Edge based H-curl base functions on tetrahedral
18
19 Function generates hierarchical base of h-curl comforting functions on
20 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
21
22 On each tetrahedral's edge we have P+1 functions. See NBEDGE_AINSWORTH_HCURL
23
24 * @param sense sense fo edge (i.e. unique orientation)
25 * @param p array of oder for each edge
26 * @param N array shape functions evaluated at each integration
27 point
28 * @param diffN derivatives of shape functions
29 * @param edgeN base functions on edges
30 * @param diff_edgeN derivatives of edge shape functions
31 * @param nb_integration_pts number of integration points
32 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
33 * @return error code
34 */
35MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET(
36 int *sense, int *p, double *N, double *diffN, double *edgeN[],
37 double *diff_edgeN[], int nb_integration_pts,
38 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
39 double *L, double *diffL,
40 const int dim));
41
42/**
43 * \brief Edge based H-curl base functions on edge
44
45 Function generates hierarchical base of h-curl comforting functions on
46 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
47
48 On each edge we have P+1 functions. See NBEDGE_AINSWORTH_HCURL
49
50 * @param sense sense fo edge (i.e. unique orientation)
51 * @param p array of oder for each edge
52 * @param N array shape functions evaluated at each integration
53 point
54 * @param diffN derivatives of shape functions
55 * @param edgeN base functions on edges
56 * @param diff_edgeN derivatives of edge shape functions
57 * @param nb_integration_pts number of integration points
58 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
59 * @return error code
60 */
61MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_EDGE(
62 int sense, int p, double *N, double *diffN, double *edgeN,
63 double *diff_edgeN, int nb_integration_pts,
64 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
65 double *L, double *diffL,
66 const int dim));
67
68/**
69 * \brief Edge based H-curl base functions on face
70
71 Function generates hierarchical base of h-curl comforting functions on
72 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
73
74 On each face's edge we have P+1 functions. See NBEDGE_AINSWORTH_HCURL
75
76 * @param sense sense fo edge (i.e. unique orientation)
77 * @param p array of oder for each edge
78 * @param N array shape functions evaluated at each integration
79 point
80 * @param diffN derivatives of shape functions
81 * @param edgeN base functions on edges
82 * @param diff_edgeN derivatives of edge shape functions
83 * @param nb_integration_pts number of integration points
84 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
85 * @return error code
86 */
87MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_FACE(
88 int *sense, int *p, double *N, double *diffN, double *edgeN[],
89 double *diff_edgeN[], int nb_integration_pts,
90 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
91 double *L, double *diffL,
92 const int dim));
93
94/** \brief Face edge base functions of Hcurl space on tetrahedral.
95
96 On each edge we have (P-1) base functions, and each face has 3 edges and are 4
97 faces on tetrahedral.
98
99 See NBFACETRI_AINSWORTH_EDGE_HCURL
100
101 * @param face_nodes array [4*3] of local indices of face nodes
102 * @param p approximation order
103 * @param N array shape functions evaluated at each integration
104 point
105 * @param diffN derivatives of nodal shape functions
106 * @param phi_f[4] calculated shape functions for each face
107 * @param diff_phi_v[4] derivatives of shape functions for each face
108 * @param nb_integration_pts number of shape functions
109 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
110 * @return error code
111
112*/
113MoFEMErrorCode Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET(
114 int *faces_nodes, int *p, double *N, double *diffN, double *phi_f_e[4][3],
115 double *diff_phi_f_e[4][3], int nb_integration_pts,
116 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
117 double *L, double *diffL,
118 const int dim));
119
120/** \brief Face edge base functions of Hcurl space.
121
122 On each edge we have (P-1) base functions, and each face has 3 edges and are 4
123 faces on tetrahedral.
124
125 See NBFACETRI_AINSWORTH_EDGE_HCURL
126
127 * @param face_nodes array [4*3] of local indices of face nodes
128 * @param p approximation order
129 * @param N array shape functions evaluated at each integration
130 point
131 * @param diffN derivatives of nodal shape functions
132 * @param phi_f[4] calculated shape functions for each face
133 * @param diff_phi_v[4] derivatives of shape functions for each face
134 * @param nb_integration_pts number of shape functions
135 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
136 * @return error code
137
138*/
139MoFEMErrorCode Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET_ON_FACE(
140 int *faces_nodes, int p, double *N, double *diffN, double *phi_f_e[3],
141 double *diff_phi_f_e[3], int nb_integration_pts,
142 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
143 double *L, double *diffL,
144 const int dim));
145
146/** \brief Face edge base functions of Hcurl space on face on tetrahedral.
147
148 On each face we have P*(P-1) base functions and are 4 faces.
149
150 See NBFACETRI_AINSWORTH_EDGE_HCURL
151
152 * @param face_nodes array [4*3] of local indices of face nodes
153 * @param p approximation order
154 * @param N array shape functions evaluated at each integration
155 point
156 * @param diffN derivatives of nodal shape functions
157 * @param phi_f[4] calculated shape functions for each face
158 * @param diff_phi_v[4] derivatives of shape functions for each face
159 * @param nb_integration_pts number of shape functions
160 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
161 * @return error code
162
163*/
164MoFEMErrorCode Hcurl_Ainsworth_BubbleFaceFunctions_MBTET(
165 int *faces_nodes, int *p, double *N, double *diffN, double *phi_f[4],
166 double *diff_phi_f[4], int nb_integration_pts,
167 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
168 double *L, double *diffL,
169 const int dim));
170
171/** \brief Face edge base functions of Hcurl space on face.
172
173 On each face we have P*(P-1) base functions and are 4 faces.
174
175 See NBFACETRI_AINSWORTH_EDGE_HCURL
176
177 * @param face_nodes array [4*3] of local indices of face nodes
178 * @param p approximation order
179 * @param N array shape functions evaluated at each integration
180 point
181 * @param diffN derivatives of nodal shape functions
182 * @param phi_f[4] calculated shape functions for each face
183 * @param diff_phi_v[4] derivatives of shape functions for each face
184 * @param nb_integration_pts number of shape functions
185 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
186 * @return error code
187
188*/
189MoFEMErrorCode Hcurl_Ainsworth_BubbleFaceFunctions_MBTET_ON_FACE(
190 int *faces_nodes, int p, double *N, double *diffN, double *phi_f,
191 double *diff_phi_f, int nb_integration_pts,
192 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
193 double *L, double *diffL,
194 const int dim));
195
196/** \brief Face base interior function
197
198On each face we have P*(P-1)/2 and are 4 faces on Tetrahedral.
199
200See NBFACETRI_AINSWORTH_FACE_HCURL
201
202* @param face_nodes array [4*3] of local indices of face nodes
203* @param p approximation order
204* @param N nodal shape functions
205* @param diffN derivatives of nodal shape functions
206* @param phi_v calculated shape functions
207* @param diff_phi_v derivatives of shape functions
208* @param nb_integration_pts number of shape functions
209* @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
210* @return error code
211
212
213*/
214MoFEMErrorCode Hcurl_Ainsworth_FaceInteriorFunctions_MBTET(
215 int *faces_nodes, int p, double *N, double *diffN, double *phi_v,
216 double *diff_phi_v, int nb_integration_pts,
217 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
218 double *L, double *diffL,
219 const int dim));
220
221/** \brief Volume interior function
222
223On volume have (P-3)*(P-2)*(P-1)/2.
224
225See NBVOLUMETET_AINSWORTH_TET_HCURL
226
227* @param p approximation order
228* @param N nodal shape functions
229* @param diffN derivatives of nodal shape functions
230* @param phi_v calculated shape functions
231* @param diff_phi_v derivatives of shape functions
232* @param nb_integration_pts number of shape functions
233* @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
234* @return error code
235
236*/
237MoFEMErrorCode Hcurl_Ainsworth_VolumeInteriorFunctions_MBTET(
238 int p, double *N, double *diffN, double *phi_v, double *diff_phi_v,
239 int nb_integration_pts,
240 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
241 double *L, double *diffL,
242 const int dim));
243
244/** \brief Face H-curl functions
245
246 Face H-curl functions are set of Eddge-Based Face functions
247 (Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET) and Bubble-Face functions
248 (Hcurl_Ainsworth_BubbleFaceFunctions_MBTET).
249
250 See NBVOLUMETET_AINSWORTH_FACE_HCURL
251
252 * @param face_nodes array [4*3] of local indices of face nodes
253 * @param p approximation order
254 * @param N nodal shape functions
255 * @param diffN derivatives of nodal shape functions
256 * @param phi_f[4] calculated shape functions for each face
257 * @param diff_phi_v[4] derivatives of shape functions for each face
258 * @param nb_integration_pts number of shape functions
259 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
260 * @return error code
261
262*/
263MoFEMErrorCode Hcurl_Ainsworth_FaceFunctions_MBTET(
264 int *face_nodes, int *p, double *N, double *diffN, double *phi_f[4],
265 double *diff_phi_f[4], int nb_integration_pts,
266 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
267 double *L, double *diffL,
268 const int dim));
269
270/** \brief Face H-curl functions
271
272 Face H-curl functions are set of Eddge-Based Face functions
273 (Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET) and Bubble-Face functions
274 (Hcurl_Ainsworth_BubbleFaceFunctions_MBTET).
275
276 See NBVOLUMETET_AINSWORTH_FACE_HCURL
277
278 * @param face_nodes array [4*3] of local indices of face nodes
279 * @param p approximation order
280 * @param N nodal shape functions
281 * @param diffN derivatives of nodal shape functions
282 * @param phi_f[4] calculated shape functions for each face
283 * @param diff_phi_v[4] derivatives of shape functions for each face
284 * @param nb_integration_pts number of shape functions
285 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
286 * @return error code
287
288*/
289MoFEMErrorCode Hcurl_Ainsworth_FaceFunctions_MBTET_ON_FACE(
290 int *faces_nodes, int p, double *N, double *diffN, double *phi_f,
291 double *diff_phi_f, int nb_integration_pts,
292 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
293 double *L, double *diffL,
294 const int dim));
295
296/**
297 \brief H-curl volume base functions
298
299 Volume base functions are collection of iace interior base functions and
300 volume interior base functions.
301
302 * @param p approximation order
303 * @param N nodal shape functions
304 * @param diffN derivatives of nodal shape functions
305 * @param phi_v calculated shape functions
306 * @param diff_phi_v derivatives of shape functions
307 * @param nb_integration_pts number of shape functions
308 * @param base_polynomials polynomial base function (f.e. Legendre of Lobatto)
309 * @return error code
310
311 */
312MoFEMErrorCode Hcurl_Ainsworth_VolumeFunctions_MBTET(
313 int p, double *N, double *diffN, double *phi_v, double *diff_phi_v,
314 int nb_integration_pts,
315 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
316 double *L, double *diffL,
317 const int dim));
318
319/**
320 * \brief Edge based H-curl base functions on tetrahedral
321
322 Function generates hierarchical base of h-curl comforting functions on
323 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
324
325 * @param sense sense fo edge (i.e. unique orientation)
326 * @param p array of oder for each edge
327 * @param n array shape functions evaluated at each integration
328 point
329 * @param diff_n derivatives of shape functions
330 * @param phi base functions on edges
331 * @param diff_phi derivatives of edge shape functions
332 * @param nb_integration_pts number of integration points
333 * @return error code
334 */
335MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBTET(
336 int *sense, int *p, double *n, double *diff_n, double *phi[],
337 double *diff_phi[], int nb_integration_pts);
338
339/**
340 * \brief Edge based H-curl base functions on teriangle
341
342 Function generates hierarchical base of h-curl comforting functions on
343 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
344
345 * @param sense sense fo edge (i.e. unique orientation)
346 * @param p array of oder for each edge
347 * @param n array shape functions evaluated at each integration
348 point
349 * @param diff_n derivatives of shape functions
350 * @param phi base functions on edges
351 * @param diff_phi derivatives of edge shape functions
352 * @param nb_integration_pts number of integration points
353 * @return error code
354 */
355MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBTRI(
356 int *sense, int *p, double *n, double *diff_n, double *phi[],
357 double *diff_phi[], int nb_integration_pts);
358
359/**
360 * \brief Edge based H-curl base functions on edge
361
362 Function generates hierarchical base of h-curl comforting functions on
363 tetrahedral edge. For more details see \cite ainsworth2011bernstein.
364
365 * @param sense sense fo edge (i.e. unique orientation)
366 * @param p array of oder for each edge
367 * @param n array shape functions evaluated at each integration
368 point
369 * @param diff_n derivatives of shape functions
370 * @param phi base functions on edges
371 * @param diff_phi derivatives of edge shape functions
372 * @param nb_integration_pts number of integration points
373 * @return error code
374 */
375MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBEDGE(
376 int sense, int p, double *n, double *diff_n, double *phi,
377 double *diff_phi, int nb_integration_pts);
378
379/** \brief Face base interior function
380
381* @param face_nodes array [4*3] of local indices of face nodes
382* @param p approximation order
383* @param n nodal shape functions
384* @param diff_n derivatives of nodal shape functions
385* @param phi calculated shape functions
386* @param diff_phi derivatives of shape functions
387* @param nb_integration_pts number of shape functions
388* @return error code
389
390*/
391MoFEMErrorCode Hcurl_Demkowicz_FaceBaseFunctions_MBTET(
392 int *faces_nodes, int *p, double *n, double *diff_n, double *phi[],
393 double *diff_phi[], int nb_integration_pts);
394
395/** \brief Face base interior function
396
397* @param face_nodes array [4*3] of local indices of face nodes
398* @param p approximation order
399* @param n nodal shape functions
400* @param diff_n derivatives of nodal shape functions
401* @param phi calculated shape functions
402* @param diff_phi derivatives of shape functions
403* @param nb_integration_pts number of shape functions
404* @return error code
405
406*/
407MoFEMErrorCode Hcurl_Demkowicz_FaceBaseFunctions_MBTRI(
408 int *faces_nodes, int p, double *n, double *diff_n, double *phi,
409 double *diff_phi, int nb_integration_pts);
410
411/** \brief Volume base interior function
412
413* @param p approximation order
414* @param n nodal shape functions
415* @param diff_n derivatives of nodal shape functions
416* @param phi calculated shape functions
417* @param diff_phi derivatives of shape functions
418* @param nb_integration_pts number of shape functions
419* @return error code
420
421
422*/
423MoFEMErrorCode Hcurl_Demkowicz_VolumeBaseFunctions_MBTET(
424 int p, double *n, double *diff_n, double *phi,
425 double *diff_phi, int nb_integration_pts);
426
427
428} // namespace MoFEM
429
430#endif // __HCURL_HPP__
p
static Index< 'p', 3 > p
Definition: BasicFeTools.hpp:90
dim
const int dim
Definition: elec_phys_2D.cpp:12
n
FTensor::Index< 'n', SPACE_DIM > n
Definition: fluid_structure_eigenproblem.cpp:66
phi
static double phi
Definition: fluid_structure_eigenproblem.cpp:69
MoFEM::Exceptions::MoFEMErrorCode
PetscErrorCode MoFEMErrorCode
MoFEM/PETSc error code.
Definition: Exceptions.hpp:56
MoFEM
implementation of Data Operators for Forces and Sources
Definition: Common.hpp:10
MoFEM::Hcurl_Demkowicz_EdgeBaseFunctions_MBTRI
MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBTRI(int *sense, int *p, double *n, double *diff_n, double *phi[], double *diff_phi[], int nb_integration_pts)
Edge based H-curl base functions on teriangle.
Definition: Hcurl.cpp:2105
MoFEM::Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET(int *faces_nodes, int *p, double *N, double *diffN, double *phi_f_e[4][3], double *diff_phi_f_e[4][3], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face edge base functions of Hcurl space on tetrahedral.
Definition: Hcurl.cpp:363
MoFEM::Hcurl_Ainsworth_VolumeInteriorFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_VolumeInteriorFunctions_MBTET(int p, double *N, double *diffN, double *phi_v, double *diff_phi_v, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Volume interior function.
Definition: Hcurl.cpp:909
MoFEM::Hcurl_Ainsworth_FaceFunctions_MBTET_ON_FACE
MoFEMErrorCode Hcurl_Ainsworth_FaceFunctions_MBTET_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f, double *diff_phi_f, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face H-curl functions.
Definition: Hcurl.cpp:1249
MoFEM::Hcurl_Demkowicz_EdgeBaseFunctions_MBEDGE
MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBEDGE(int sense, int p, double *n, double *diff_n, double *phi, double *diff_phi, int nb_integration_pts)
Edge based H-curl base functions on edge.
Definition: Hcurl.cpp:2144
MoFEM::Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_FACE
MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_FACE(int *sense, int *p, double *N, double *diffN, double *edgeN[], double *diff_edgeN[], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Edge based H-curl base functions on face.
Definition: Hcurl.cpp:237
MoFEM::Hcurl_Ainsworth_BubbleFaceFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_BubbleFaceFunctions_MBTET(int *faces_nodes, int *p, double *N, double *diffN, double *phi_f[4], double *diff_phi_f[4], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face edge base functions of Hcurl space on face on tetrahedral.
Definition: Hcurl.cpp:545
MoFEM::Hcurl_Ainsworth_VolumeFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_VolumeFunctions_MBTET(int p, double *N, double *diffN, double *phi_v, double *diff_phi_v, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
H-curl volume base functions.
Definition: Hcurl.cpp:1403
MoFEM::Hcurl_Ainsworth_FaceInteriorFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_FaceInteriorFunctions_MBTET(int *faces_nodes, int p, double *N, double *diffN, double *phi_v, double *diff_phi_v, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face base interior function.
Definition: Hcurl.cpp:775
MoFEM::Hcurl_Ainsworth_EdgeBaseFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET(int *sense, int *p, double *N, double *diffN, double *edgeN[], double *diff_edgeN[], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Edge based H-curl base functions on tetrahedral.
Definition: Hcurl.cpp:16
MoFEM::Hcurl_Demkowicz_FaceBaseFunctions_MBTRI
MoFEMErrorCode Hcurl_Demkowicz_FaceBaseFunctions_MBTRI(int *faces_nodes, int p, double *n, double *diff_n, double *phi, double *diff_phi, int nb_integration_pts)
Face base interior function.
Definition: Hcurl.cpp:2433
MoFEM::Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET_ON_FACE
MoFEMErrorCode Hcurl_Ainsworth_EdgeBasedFaceFunctions_MBTET_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f_e[3], double *diff_phi_f_e[3], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face edge base functions of Hcurl space.
Definition: Hcurl.cpp:458
MoFEM::Hcurl_Demkowicz_FaceBaseFunctions_MBTET
MoFEMErrorCode Hcurl_Demkowicz_FaceBaseFunctions_MBTET(int *faces_nodes, int *p, double *n, double *diff_n, double *phi[], double *diff_phi[], int nb_integration_pts)
Face base interior function.
Definition: Hcurl.cpp:2395
MoFEM::Hcurl_Demkowicz_VolumeBaseFunctions_MBTET
MoFEMErrorCode Hcurl_Demkowicz_VolumeBaseFunctions_MBTET(int p, double *n, double *diff_n, double *phi, double *diff_phi, int nb_integration_pts)
Volume base interior function.
Definition: Hcurl.cpp:2468
MoFEM::Hcurl_Demkowicz_EdgeBaseFunctions_MBTET
MoFEMErrorCode Hcurl_Demkowicz_EdgeBaseFunctions_MBTET(int *sense, int *p, double *n, double *diff_n, double *phi[], double *diff_phi[], int nb_integration_pts)
Edge based H-curl base functions on tetrahedral.
Definition: Hcurl.cpp:2068
MoFEM::Hcurl_Ainsworth_FaceFunctions_MBTET
MoFEMErrorCode Hcurl_Ainsworth_FaceFunctions_MBTET(int *face_nodes, int *p, double *N, double *diffN, double *phi_f[4], double *diff_phi_f[4], int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face H-curl functions.
Definition: Hcurl.cpp:1052
MoFEM::Hcurl_Ainsworth_BubbleFaceFunctions_MBTET_ON_FACE
MoFEMErrorCode Hcurl_Ainsworth_BubbleFaceFunctions_MBTET_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f, double *diff_phi_f, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face edge base functions of Hcurl space on face.
Definition: Hcurl.cpp:663
MoFEM::Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_EDGE
MoFEMErrorCode Hcurl_Ainsworth_EdgeBaseFunctions_MBTET_ON_EDGE(int sense, int p, double *N, double *diffN, double *edgeN, double *diff_edgeN, int nb_integration_pts, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Edge based H-curl base functions on edge.
Definition: Hcurl.cpp:175
N
const int N
Definition: speed_test.cpp:3
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