Intrepid2_NodalBasisFamily.hpp

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#ifndef Intrepid2_NodalBasisFamily_h
#define Intrepid2_NodalBasisFamily_h

#include "Intrepid2_DerivedBasisFamily.hpp"

#include <Intrepid2_HGRAD_LINE_Cn_FEM.hpp>
#include <Intrepid2_HVOL_LINE_Cn_FEM.hpp>

#include <Intrepid2_HGRAD_QUAD_Cn_FEM.hpp>
#include <Intrepid2_HCURL_QUAD_In_FEM.hpp>
#include <Intrepid2_HDIV_QUAD_In_FEM.hpp>
#include <Intrepid2_HVOL_QUAD_Cn_FEM.hpp>

#include <Intrepid2_HGRAD_TRI_Cn_FEM.hpp>
#include <Intrepid2_HCURL_TRI_In_FEM.hpp>
#include <Intrepid2_HDIV_TRI_In_FEM.hpp>
#include <Intrepid2_HVOL_TRI_Cn_FEM.hpp>

#include <Intrepid2_HGRAD_HEX_Cn_FEM.hpp>
#include <Intrepid2_HCURL_HEX_In_FEM.hpp>
#include <Intrepid2_HDIV_HEX_In_FEM.hpp>
#include <Intrepid2_HVOL_HEX_Cn_FEM.hpp>

#include <Intrepid2_HGRAD_TET_Cn_FEM.hpp>
#include <Intrepid2_HCURL_TET_In_FEM.hpp>
#include <Intrepid2_HDIV_TET_In_FEM.hpp>
#include <Intrepid2_HVOL_TET_Cn_FEM.hpp>

namespace Intrepid2 {

  // the following defines a family of nodal basis functions for the reference Triangle
  template<typename ExecutionSpace,
           typename OutputScalar = double,
           typename PointScalar  = double,
           bool defineVertexFunctions = true>
  class NodalTriangleBasisFamily
  {
  public:
    using HGRAD = Basis_HGRAD_TRI_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HCURL = Basis_HCURL_TRI_In_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HDIV  = Basis_HDIV_TRI_In_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HVOL  = Basis_HVOL_TRI_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>;
  };

  // the following defines a family of nodal basis functions for the reference Tetrahedron
  template<typename ExecutionSpace,
  typename OutputScalar = double,
  typename PointScalar  = double,
  bool defineVertexFunctions = true>
  class NodalTetrahedronBasisFamily
  {
  public:
    using HGRAD = Basis_HGRAD_TET_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HCURL = Basis_HCURL_TET_In_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HDIV  = Basis_HDIV_TET_In_FEM<ExecutionSpace,OutputScalar,PointScalar>;
    using HVOL  = Basis_HVOL_TET_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>;
  };


  // the following defines a family of nodal basis functions, derived from a the standard high-order Intrepid2 bases on the line
  // 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,
  // the following will *not* match the standard nodal basis declared below.  (Similarly for H(div).)
  
  template<typename ExecutionSpace,
           typename OutputScalar = double,
           typename PointScalar  = double>
  using DerivedNodalBasisFamily = DerivedBasisFamily< Basis_HGRAD_LINE_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>,
                                                      Basis_HVOL_LINE_Cn_FEM<ExecutionSpace,OutputScalar,PointScalar>,
                                                      NodalTriangleBasisFamily<ExecutionSpace,OutputScalar,PointScalar>,
                                                      NodalTetrahedronBasisFamily<ExecutionSpace,OutputScalar,PointScalar> >;
  
  template<typename ExecSpace,
           typename OutputScalar = double,
           typename PointScalar  = double>
  class NodalBasisFamily
  {
  public:
    using ExecutionSpace  = ExecSpace;
    using OutputValueType = OutputScalar;
    using PointValueType  = PointScalar;
    
    using BasisType = Basis<ExecSpace,OutputScalar,PointScalar>;
    using BasisPtr  = Teuchos::RCP<BasisType>;
    
    // line bases
    using HGRAD_LINE = Basis_HGRAD_LINE_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HVOL_LINE  = Basis_HVOL_LINE_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    
    // quadrilateral bases
    using HGRAD_QUAD = Basis_HGRAD_QUAD_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HCURL_QUAD = Basis_HCURL_QUAD_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HDIV_QUAD  = Basis_HDIV_QUAD_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HVOL_QUAD  = Basis_HVOL_QUAD_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    
    // triangle bases
    using HGRAD_TRI = Basis_HGRAD_TRI_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HCURL_TRI = Basis_HCURL_TRI_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HDIV_TRI  = Basis_HDIV_TRI_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HVOL_TRI  = Basis_HVOL_TRI_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    
    // hexahedron bases
    using HGRAD_HEX = Basis_HGRAD_HEX_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HCURL_HEX = Basis_HCURL_HEX_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HDIV_HEX  = Basis_HDIV_HEX_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HVOL_HEX  = Basis_HVOL_HEX_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    
    // tetrahedron bases
    using HGRAD_TET = Basis_HGRAD_TET_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HCURL_TET = Basis_HCURL_TET_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HDIV_TET  = Basis_HDIV_TET_In_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    using HVOL_TET  = Basis_HVOL_TET_Cn_FEM<ExecutionSpace,OutputValueType,PointValueType>;
    
  };
}

#endif /* Intrepid2_NodalBasisFamily_h */