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Hdiv.hpp
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1/** \file Hdiv.hpp
2
3 \brief Implementation of H-curl base function.
4
5 Based on Hierarchic Finite Element Bases on Unstructured Tetrahedral
6 Meshes, by Mark Ainsworth and Joe Coyle
7 Shape functions for MBTRI/MBTET and HCurl space
8
9*/
10
11#ifndef __HDIV_HPP__
12#define __HDIV_HPP__
13
14namespace MoFEM {
15
16/**
17 * \brief Hdiv base functions, Edge-based face functions by Ainsworth \cite
18 * NME:NME847
19 * @param faces_nodes Face nodes on tetrahedral
20 * @param p Approximation order on faces
21 * @param N Shape functions
22 * @param diffN Derivatives of shape functions
23 * @param phi_f_e Base functions (returned)
24 * @param diff_phi_f_e Derivatives of base functions (returned)
25 * @param gdim Number of integration pts
26 * @param base_polynomials base function (Legendre/Lobbatto-Gauss)
27 * @return error code
28 */
29MoFEMErrorCode Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET(
30 int *faces_nodes, int *p, double *N, double *diffN, double *phi_f_e[4][3],
31 double *diff_phi_f_e[4][3], int gdim,
32 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
33 double *L, double *diffL,
34 const int dim));
35
36/**
37 * \brief Hdiv base functions, Edge-based face functions by Ainsworth \cite
38 * NME:NME847
39 * @param faces_nodes Face nodes on face
40 * @param p Approximation order on faces
41 * @param N Shape functions
42 * @param diffN Derivatives of shape functions
43 * @param phi_f_e Base functions (returned)
44 * @param diff_phi_f_e Derivatives of base functions (returned)
45 * @param gdim Number of integration pts
46 * @param base_polynomials base function (Legendre/Lobbatto-Gauss)
47 * @param nb Number of nodes on entity (4 if tet, 3 if triangle)
48 * @return error code
49 */
50MoFEMErrorCode Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET_ON_FACE(
51 int *faces_nodes, int p, double *N, double *diffN, double *phi_f_e[3],
52 double *diff_phi_f_e[3], int gdim, int nb,
53 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
54 double *L, double *diffL,
55 const int dim));
56
57/**
58 * \brief Face bubble functions by Ainsworth \cite NME:NME847
59 * @param faces_nodes Face nodes on tetrahedral
60 * @param p Approx. order on faces
61 * @param N Shape function
62 * @param diffN Derivatives of shape functions
63 * @param phi_f Base functions
64 * @param diff_phi_f Derivatives of base functions
65 * @param gdim Number of integration pts
66 * @param base_polynomials Base function (Legendre/Lobbatto-Gauss)
67 * @return error code
68 */
69MoFEMErrorCode Hdiv_Ainsworth_FaceBubbleShapeFunctions(
70 int *faces_nodes, int *p, double *N, double *diffN, double *phi_f[],
71 double *diff_phi_f[], int gdim,
72 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
73 double *L, double *diffL,
74 const int dim));
75
76/**
77 * \brief Face bubble functions by Ainsworth \cite NME:NME847
78 * @param faces_nodes Face nodes on face
79 * @param p Approx. order on face
80 * @param N Shape function
81 * @param diffN Derivatives of shape functions
82 * @param phi_f Base functions
83 * @param diff_phi_f Derivatives of base functions
84 * @param gdim Number of integration pts
85 * @param nb Number of nodes on entity (4 if tet, 3 if triangle)
86 * @param base_polynomials Base function (Legendre/Lobbatto-Gauss)
87 * @return error code
88 */
89MoFEMErrorCode Hdiv_Ainsworth_FaceBubbleShapeFunctions_ON_FACE(
90 int *faces_nodes, int p, double *N, double *diffN, double *phi_f,
91 double *diff_phi_f, int gdim, int nb,
92 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
93 double *L, double *diffL,
94 const int dim));
95
96/**
97 * \brief Hdiv base function, Edge-based interior (volume) functions by
98 * Ainsworth \cite NME:NME847
99 * @param p volume approx. order
100 * @param N shape functions
101 * @param diffN derivatives of shape functions
102 * @param phi_v_e base functions (return)
103 * @param diff_phi_v_e derivatives of base functions (returned)
104 * @param gdim number of integration points
105 * @param base_polynomials base function (Legendre/Lobbatto-Gauss)
106 * @return error code
107 */
108MoFEMErrorCode Hdiv_Ainsworth_EdgeBasedVolumeShapeFunctions_MBTET(
109 int p, double *N, double *diffN, double *phi_v_e[6],
110 double *diff_phi_v_e[6], int gdim,
111 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
112 double *L, double *diffL,
113 const int dim));
114
115/** Hdiv Face-based interior functions by Ainsworth \cite NME:NME847
116 * @param p Approximation order on face
117 * @param N Shape functions on face
118 * @param diffN Derivatives of shape functions of face
119 * @param phi_v_f Base functions (returned)
120 * @param diff_phi_v_f Derivatives of base functions (returned)
121 * @param gdim Number of integration points
122 * @param base_polynomials Base function (Legendre/Lobbatto-Gauss)
123 * @return Error code
124 */
125MoFEMErrorCode Hdiv_Ainsworth_FaceBasedVolumeShapeFunctions_MBTET(
126 int p, double *N, double *diffN, double *phi_v_f[], double *diff_phi_v_f[],
127 int gdim,
128 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
129 double *L, double *diffL,
130 const int dim));
131
132/**
133 * \brief Interior bubble functions by Ainsworth \cite NME:NME847
134 * @param p Volume order
135 * @param N Shape functions
136 * @param diffN Derivatives of shape functions
137 * @param phi_v Base functions
138 * @param diff_phi_v Derivatives of shape functions
139 * @param gdim Number of integration points
140 * @param base_polynomials Base function (Legendre/Lobbatto-Gauss)
141 * @return Error code
142 */
143MoFEMErrorCode Hdiv_Ainsworth_VolumeBubbleShapeFunctions_MBTET(
144 int p, double *N, double *diffN, double *phi_v, double *diff_phi_v,
145 int gdim,
146 PetscErrorCode (*base_polynomials)(int p, double s, double *diff_s,
147 double *L, double *diffL,
148 const int dim));
149
150/**
151 * \brirf HDiv base finuctions on triangle by Demkowicz \cite
152 * fuentes2015orientation
153 *
154 * @param faces_nodes Nodes on face
155 * @param p Approx. order
156 * @param N Shape functions
157 * @param diffN Derivatives of shape functions
158 * @param phi_f Returned base functions on face
159 * @param diff_phi_f Returned derivatives of base functions on face
160 * @param gdim Number of integration points
161 * @param nb nb is 4 for face on tetrahedral and 3 for face
162 * @return error code
163 */
164MoFEMErrorCode Hdiv_Demkowicz_Face_MBTET_ON_FACE(int *faces_nodes, int p,
165 double *N, double *diffN,
166 double *phi_f,
167 double *diff_phi_f, int gdim,
168 int nb);
169
170/**
171 * \brirf HDiv base finuctions in tetrahedral interior by Demkowicz \cite
172 * fuentes2015orientation
173 *
174 * @param p Approximation order
175 * @param N Shape functions
176 * @param diffN Derivatives of base functions
177 * @param p_face Max order on faces
178 * @param phi_f Precalculated face base functions
179 * @param diff_phi_f Precalculated derivatives of face base functions
180 * @param phi_v Returned base functions in volume
181 * @param diff_phi_v Returned derivatives of base functions in volume
182 * @param gdim Number of integration points
183 * @return error code
184 */
185MoFEMErrorCode Hdiv_Demkowicz_Interior_MBTET(int p, double *N, double *diffN,
186 int p_face[], double *phi_f[4],
187 double *diff_phi_f[4],
188 double *phi_v, double *diff_phi_v,
189 int gdim);
190
191} // namespace MoFEM
192
193#endif // __HDIV_HPP__
p
static Index< 'p', 3 > p
Definition: BasicFeTools.hpp:90
dim
const int dim
Definition: elec_phys_2D.cpp:12
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::Hdiv_Ainsworth_FaceBubbleShapeFunctions
MoFEMErrorCode Hdiv_Ainsworth_FaceBubbleShapeFunctions(int *faces_nodes, int *p, double *N, double *diffN, double *phi_f[], double *diff_phi_f[], int gdim, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face bubble functions by Ainsworth .
Definition: Hdiv.cpp:137
MoFEM::Hdiv_Demkowicz_Face_MBTET_ON_FACE
MoFEMErrorCode Hdiv_Demkowicz_Face_MBTET_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f, double *diff_phi_f, int gdim, int nb)
Definition: Hdiv.cpp:617
MoFEM::Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET
MoFEMErrorCode Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET(int *faces_nodes, int *p, double *N, double *diffN, double *phi_f_e[4][3], double *diff_phi_f_e[4][3], int gdim, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Hdiv base functions, Edge-based face functions by Ainsworth .
Definition: Hdiv.cpp:13
MoFEM::Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET_ON_FACE
MoFEMErrorCode Hdiv_Ainsworth_EdgeFaceShapeFunctions_MBTET_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f_e[3], double *diff_phi_f_e[3], int gdim, int nb, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Hdiv base functions, Edge-based face functions by Ainsworth .
Definition: Hdiv.cpp:37
MoFEM::Hdiv_Demkowicz_Interior_MBTET
MoFEMErrorCode Hdiv_Demkowicz_Interior_MBTET(int p, double *N, double *diffN, int p_face[], double *phi_f[4], double *diff_phi_f[4], double *phi_v, double *diff_phi_v, int gdim)
Definition: Hdiv.cpp:762
MoFEM::Hdiv_Ainsworth_FaceBasedVolumeShapeFunctions_MBTET
MoFEMErrorCode Hdiv_Ainsworth_FaceBasedVolumeShapeFunctions_MBTET(int p, double *N, double *diffN, double *phi_v_f[], double *diff_phi_v_f[], int gdim, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Definition: Hdiv.cpp:368
MoFEM::Hdiv_Ainsworth_FaceBubbleShapeFunctions_ON_FACE
MoFEMErrorCode Hdiv_Ainsworth_FaceBubbleShapeFunctions_ON_FACE(int *faces_nodes, int p, double *N, double *diffN, double *phi_f, double *diff_phi_f, int gdim, int nb, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Face bubble functions by Ainsworth .
Definition: Hdiv.cpp:160
MoFEM::Hdiv_Ainsworth_EdgeBasedVolumeShapeFunctions_MBTET
MoFEMErrorCode Hdiv_Ainsworth_EdgeBasedVolumeShapeFunctions_MBTET(int p, double *N, double *diffN, double *phi_v_e[6], double *diff_phi_v_e[6], int gdim, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Hdiv base function, Edge-based interior (volume) functions by Ainsworth .
Definition: Hdiv.cpp:280
MoFEM::Hdiv_Ainsworth_VolumeBubbleShapeFunctions_MBTET
MoFEMErrorCode Hdiv_Ainsworth_VolumeBubbleShapeFunctions_MBTET(int p, double *N, double *diffN, double *phi_v, double *diff_phi_v, int gdim, PetscErrorCode(*base_polynomials)(int p, double s, double *diff_s, double *L, double *diffL, const int dim))
Interior bubble functions by Ainsworth .
Definition: Hdiv.cpp:484
N
const int N
Definition: speed_test.cpp:3
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