Intrepid2
Intrepid2_NodalBasisFamily.hpp
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43 
49 #ifndef Intrepid2_NodalBasisFamily_h
50 #define Intrepid2_NodalBasisFamily_h
51 
53 
56 
61 
66 
71 
76 
77 namespace 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:
138  using ExecutionSpace = ExecSpace;
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...