Intrepid2
Intrepid2_NodalBasisFamily.hpp
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49#ifndef Intrepid2_NodalBasisFamily_h
50#define Intrepid2_NodalBasisFamily_h
51
53
56
61
66
71
76
77namespace Intrepid2 {
78
79 // the following defines a family of nodal basis functions for the reference Triangle
80 template<typename ExecutionSpace,
81 typename OutputScalar = double,
82 typename PointScalar = double,
83 bool defineVertexFunctions = true>
85 {
86 public:
91 };
92
93 // the following defines a family of nodal basis functions for the reference Tetrahedron
94 template<typename ExecutionSpace,
95 typename OutputScalar = double,
96 typename PointScalar = double,
97 bool defineVertexFunctions = true>
99 {
100 public:
105 };
106
107
108 // the following defines a family of nodal basis functions, derived from a the standard high-order Intrepid2 bases on the line
109 // note that because the standard H(curl) basis uses a lower-order H(grad) basis in place of the H(vol) that is arguably more natural,
110 // the following will *not* match the standard nodal basis declared below. (Similarly for H(div).)
111
119 template<typename ExecutionSpace,
120 typename OutputScalar = double,
121 typename PointScalar = double>
126
132 template<typename ExecSpace,
133 typename OutputScalar = double,
134 typename PointScalar = double>
136 {
137 public:
139 using OutputValueType = OutputScalar;
140 using PointValueType = PointScalar;
141
143 using BasisPtr = Teuchos::RCP<BasisType>;
144
145 // line bases
148
149 // quadrilateral bases
154
155 // triangle bases
160
161 // hexahedron bases
166
167 // tetrahedron bases
172
173 };
174}
175
176#endif /* Intrepid2_NodalBasisFamily_h */
Stateless class representing a family of basis functions, templated on H(vol) and H(grad) on the line...
Header file for the Intrepid2::Basis_HCURL_HEX_In_FEM class.
Header file for the Intrepid2::Basis_HCURL_QUAD_In_FEM class.
Header file for the Intrepid2::Basis_HCURL_TET_In_FEM class.
Header file for the Intrepid2::Basis_HCURL_TRI_In_FEM class.
Header file for the Intrepid2::Basis_HDIV_HEX_In_FEM class.
Header file for the Intrepid2::Basis_HDIV_QUAD_In_FEM class.
Header file for the Intrepid2::Basis_HDIV_TET_In_FEM class.
Header file for the Intrepid2::Basis_HDIV_TRI_In_FEM class.
Header file for the Intrepid2::Basis_HGRAD_HEX_Cn_FEM class.
Header file for the Intrepid2::Basis_HGRAD_LINE_Cn_FEM class.
Header file for the Intrepid2::Basis_HGRAD_QUAD_Cn_FEM class.
Header file for the Intrepid2::Basis_HGRAD_TET_Cn_FEM class.
Header file for the Intrepid2::Basis_HGRAD_TRI_Cn_FEM class.
Header file for the Intrepid2::Basis_HVOL_HEX_Cn_FEM class.
Header file for the Intrepid2::Basis_HVOL_LINE_Cn_FEM class.
Header file for the Intrepid2::Basis_HVOL_QUAD_Cn_FEM class.
Header file for the Intrepid2::Basis_HVOL_TET_Cn_FEM class.
Header file for the Intrepid2::Basis_HVOL_TRI_Cn_FEM class.
Implementation of the default H(curl)-compatible FEM basis on Hexahedron cell.
Implementation of the default H(curl)-compatible FEM basis on Quadrilateral cell.
Implementation of the default H(curl)-compatible Nedelec (first kind) basis of arbitrary degree on Te...
Implementation of the default H(curl)-compatible Nedelec (first kind) basis of arbitrary degree on Tr...
Implementation of the default H(div)-compatible FEM basis on Hexahedron cell.
Implementation of the default H(div)-compatible FEM basis on Quadrilateral cell
Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Tetrahedr...
Implementation of the default H(div)-compatible Raviart-Thomas basis of arbitrary degree on Triangle ...
Implementation of the default H(grad)-compatible FEM basis of degree 2 on Hexahedron cell.
Implementation of the locally H(grad)-compatible FEM basis of variable order on the [-1,...
Implementation of the default H(grad)-compatible FEM basis of degree n on Quadrilateral cell Implemen...
Implementation of the default H(grad)-compatible Lagrange basis of arbitrary degree on Tetrahedron ce...
Implementation of the default H(grad)-compatible Lagrange basis of arbitrary degree on Triangle cell.
Implementation of the default HVOL-compatible FEM basis of degree n on Hexahedron cell.
Implementation of the locally HVOL-compatible FEM basis of variable order on the [-1,...
Implementation of the default HVOL-compatible FEM basis of degree n on Quadrilateral cell Implements ...
Implementation of the default HVOL-compatible Lagrange basis of arbitrary degree on Tetrahedron cell.
Implementation of the default HVOL-compatible Lagrange basis of arbitrary degree on Triangle cell.
An abstract base class that defines interface for concrete basis implementations for Finite Element (...
A family of basis functions, constructed from H(vol) and H(grad) bases on the line.
A family of nodal basis functions representing the higher-order Lagrangian basis family that Intrepid...