Intrepid2
Intrepid2_HierarchicalBasisFamily.hpp
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43 
49 #ifndef Intrepid2_HierarchicalBasisFamily_h
50 #define Intrepid2_HierarchicalBasisFamily_h
51 
53 
64 
65 namespace Intrepid2 {
66 
67 
68 //Dummy basis to be temporarily used for Hierarchical bases that have not been implemented yet
69  template<typename ExecutionSpace, typename OutputScalar, typename PointScalar>
70  class dummyBasis
71  : public Basis<ExecutionSpace,OutputScalar,PointScalar> {
72  public:
73  dummyBasis(int /*order*/, EPointType /*pointType*/= POINTTYPE_DEFAULT) {};
74  };
75 
76 // the following defines a family of hierarchical basis functions that matches the unpermuted ESEAS basis functions
77 // each basis member is associated with appropriate subcell topologies, making this suitable for continuous Galerkin finite elements.
78  template<typename DeviceType,
79  typename OutputScalar = double,
80  typename PointScalar = double,
81  bool defineVertexFunctions = true>
83  {
84  public:
85  // we will fill these in as we implement them
87  using HCURL = HierarchicalBasis_HCURL_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.
88  using HDIV = HierarchicalBasis_HDIV_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.
90  };
91 
92  template<typename DeviceType,
93  typename OutputScalar = double,
94  typename PointScalar = double,
95  bool defineVertexFunctions = true>
97  {
98  public:
99  // we will fill these in as we implement them
104  };
105 
126  template<typename DeviceType,
127  typename OutputScalar = double,
128  typename PointScalar = double>
133  >;
134 
143  template<typename DeviceType,
144  typename OutputScalar = double,
145  typename PointScalar = double>
150  >;
151 
152 }
153 
154 #endif /* Intrepid2_HierarchicalBasisFamily_h */
H(grad) basis on the line based on integrated Legendre polynomials.
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:
For mathematical details of the construction, see:
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 ...
EPointType
Enumeration of types of point distributions in Intrepid.
H(grad) basis on the tetrahedon 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: