Intrepid2
Intrepid2_HierarchicalBasisFamily.hpp
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42 
48 #ifndef Intrepid2_HierarchicalBasisFamily_h
49 #define Intrepid2_HierarchicalBasisFamily_h
50 
52 
66 
67 namespace Intrepid2 {
68 
69 
70 //Dummy basis to be temporarily used for Hierarchical bases that have not been implemented yet
71  template<typename ExecutionSpace, typename OutputScalar, typename PointScalar>
72  class dummyBasis
73  : public Basis<ExecutionSpace,OutputScalar,PointScalar> {
74  public:
75  dummyBasis(int /*order*/, EPointType /*pointType*/= POINTTYPE_DEFAULT) {};
76  };
77 
78 // the following defines a family of hierarchical basis functions that matches the unpermuted ESEAS basis functions
79 // each basis member is associated with appropriate subcell topologies, making this suitable for continuous Galerkin finite elements.
80  template<typename DeviceType,
81  typename OutputScalar = double,
82  typename PointScalar = double,
83  bool defineVertexFunctions = true>
85  {
86  public:
87  // we will fill these in as we implement them
89  using HCURL = HierarchicalBasis_HCURL_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.
90  using HDIV = HierarchicalBasis_HDIV_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.
92  };
93 
94  template<typename DeviceType,
95  typename OutputScalar = double,
96  typename PointScalar = double,
97  bool defineVertexFunctions = true>
99  {
100  public:
101  // we will fill these in as we implement them
106  };
107 
108 
109  template<typename DeviceType,
110  typename OutputScalar = double,
111  typename PointScalar = double,
112  bool defineVertexFunctions = true>
114  {
115  public:
116  // we will fill these in as we implement them
118  using HCURL = void;
121  };
122 
143  template<typename DeviceType,
144  typename OutputScalar = double,
145  typename PointScalar = double>
151  >;
152 
161  template<typename DeviceType,
162  typename OutputScalar = double,
163  typename PointScalar = double>
169  >;
170 
171 }
172 
173 #endif /* Intrepid2_HierarchicalBasisFamily_h */
H(grad) basis on the line based on integrated Legendre polynomials.
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line...
H(vol) basis on the triangle based on integrated Legendre polynomials.
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line...
H(div) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomial...
Stateless class representing a family of basis functions, templated on H(vol) and H(grad) on the line...
An abstract base class that defines interface for concrete basis implementations for Finite Element (...
A family of hierarchical basis functions, constructed in a way that follows work by Fuentes et al...
H(curl) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomia...
For mathematical details of the construction, see:
H(grad) basis on the pyramid based on integrated Legendre polynomials.
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line...
For mathematical details of the construction, see:
H(vol) basis on the pyramid based on Legendre polynomials.
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line...
Basis defining Legendre basis on the line, a polynomial subspace of L^2 (a.k.a. H(vol)) on the line...
H(curl) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomia...
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line: e...
H(vol) basis on the line based on Legendre polynomials.
H(div) basis on the tetrahedron using a construction involving Legendre and integrated Jacobi polynom...
H(grad) basis on the triangle based on integrated Legendre polynomials.
For mathematical details of the construction, see:
A family of basis functions, constructed from H(vol) and H(grad) bases on the line.
Basis defining Legendre basis on the line, a polynomial subspace of H(vol) on the line: extension to ...
H(grad) basis on the tetrahedon based on integrated Legendre polynomials.
H(div) basis on the pyramid based on integrated Legendre polynomials.
Basis defining Legendre basis on the line, a polynomial subspace of H(vol) on the line: extension to ...
H(vol) basis on the triangle based on integrated Legendre polynomials.
For mathematical details of the construction, see: