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hcurl_fe_transformation.h
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1// The libMesh Finite Element Library.
2// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
3
4// This library is free software; you can redistribute it and/or
5// modify it under the terms of the GNU Lesser General Public
6// License as published by the Free Software Foundation; either
7// version 2.1 of the License, or (at your option) any later version.
8
9// This library is distributed in the hope that it will be useful,
10// but WITHOUT ANY WARRANTY; without even the implied warranty of
11// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12// Lesser General Public License for more details.
13
14// You should have received a copy of the GNU Lesser General Public
15// License along with this library; if not, write to the Free Software
16// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17
18#ifndef LIBMESH_HCURL_FE_TRANSFORMATION_H
19#define LIBMESH_HCURL_FE_TRANSFORMATION_H
20
21#include "libmesh/fe_transformation_base.h"
22
23namespace libMesh
24{
25
35template<typename OutputShape>
37{
38public:
39
42
43 virtual ~HCurlFETransformation() = default;
44
48 virtual void init_map_phi(const FEGenericBase<OutputShape> & fe) const override;
49
53 virtual void init_map_dphi(const FEGenericBase<OutputShape> & fe) const override;
54
58 virtual void init_map_d2phi(const FEGenericBase<OutputShape> & fe) const override;
59
68 virtual void map_phi(const unsigned int dim,
69 const Elem * const elem,
70 const std::vector<Point> & qp,
72 std::vector<std::vector<OutputShape>> & phi,
73 bool add_p_level = true) const override;
74
79 virtual void map_dphi(const unsigned int /*dim*/,
80 const Elem * const /*elem*/,
81 const std::vector<Point> & /*qp*/,
82 const FEGenericBase<OutputShape> & /*fe*/,
83 std::vector<std::vector<typename FEGenericBase<OutputShape>::OutputGradient>> & /*dphi*/,
84 std::vector<std::vector<OutputShape>> & /*dphidx*/,
85 std::vector<std::vector<OutputShape>> & /*dphidy*/,
86 std::vector<std::vector<OutputShape>> & /*dphidz*/) const override
87 {
88 libmesh_warning("WARNING: Shape function gradients for HCurl elements are not currently being computed!");
89 }
90
91#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
96 virtual void map_d2phi(const unsigned int /*dim*/,
97 const std::vector<Point> & /*qp*/,
98 const FEGenericBase<OutputShape> & /*fe*/,
99 std::vector<std::vector<typename FEGenericBase<OutputShape>::OutputTensor>> & /*d2phi*/,
100 std::vector<std::vector<OutputShape>> & /*d2phidx2*/,
101 std::vector<std::vector<OutputShape>> & /*d2phidxdy*/,
102 std::vector<std::vector<OutputShape>> & /*d2phidxdz*/,
103 std::vector<std::vector<OutputShape>> & /*d2phidy2*/,
104 std::vector<std::vector<OutputShape>> & /*d2phidydz*/,
105 std::vector<std::vector<OutputShape>> & /*d2phidz2*/) const override
106 {
107 libmesh_warning("WARNING: Shape function Hessians for HCurl elements are not currently being computed!");
108 }
109#endif //LIBMESH_ENABLE_SECOND_DERIVATIVES
110
118 virtual void map_curl(const unsigned int dim,
119 const Elem * const elem,
120 const std::vector<Point> & qp,
122 std::vector<std::vector<OutputShape>> & curl_phi) const override;
123
128 virtual void map_div(const unsigned int /*dim*/,
129 const Elem * const /*elem*/,
130 const std::vector<Point> & /*qp*/,
131 const FEGenericBase<OutputShape> & /*fe*/,
132 std::vector<std::vector<typename FEGenericBase<OutputShape>::OutputDivergence>> & /*div_phi*/) const override
133 {
134 libmesh_warning("WARNING: Shape function divergences for HCurl elements are not currently being computed!");
135 }
136
137}; // class HCurlFETransformation
138
139}
140
141#endif // LIBMESH_HCURL_FE_TRANSFORMATION_H
unsigned int dim
This is the base class from which all geometric element types are derived.
Definition elem.h:96
This class forms the foundation from which generic finite elements may be derived.
Definition fe_base.h:86
TensorTools::DecrementRank< OutputShape >::type OutputDivergence
Definition fe_base.h:122
This class handles the computation of the shape functions in the physical domain.
This class handles the computation of the shape functions in the physical domain for HCurl conforming...
virtual ~HCurlFETransformation()=default
virtual void init_map_phi(const FEGenericBase< OutputShape > &fe) const override
Pre-requests any necessary data from FEMap.
virtual void map_phi(const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< OutputShape > > &phi, bool add_p_level=true) const override
Evaluates shape functions in physical coordinates for conforming elements.
virtual void map_curl(const unsigned int dim, const Elem *const elem, const std::vector< Point > &qp, const FEGenericBase< OutputShape > &fe, std::vector< std::vector< OutputShape > > &curl_phi) const override
Evaluates the shape function curl in physical coordinates based on conforming finite element transfo...
virtual void init_map_dphi(const FEGenericBase< OutputShape > &fe) const override
Pre-requests any necessary data from FEMap.
virtual void map_d2phi(const unsigned int, const std::vector< Point > &, const FEGenericBase< OutputShape > &, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputTensor > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &) const override
Evaluates shape function Hessians in physical coordinates based on conforming finite element transfo...
virtual void map_div(const unsigned int, const Elem *const, const std::vector< Point > &, const FEGenericBase< OutputShape > &, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputDivergence > > &) const override
Evaluates the shape function divergence in physical coordinates based on conforming finite element t...
virtual void init_map_d2phi(const FEGenericBase< OutputShape > &fe) const override
Pre-requests any necessary data from FEMap.
virtual void map_dphi(const unsigned int, const Elem *const, const std::vector< Point > &, const FEGenericBase< OutputShape > &, std::vector< std::vector< typename FEGenericBase< OutputShape >::OutputGradient > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &, std::vector< std::vector< OutputShape > > &) const override
Evaluates shape function gradients in physical coordinates for conforming elements.
This class defines a vector in LIBMESH_DIM dimensional Real or Complex space.
The libMesh namespace provides an interface to certain functionality in the library.