trilinos/intrepid2/Intrepid2__HierarchicalBasisFamily_8hpp_source.html

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//                           Intrepid2 Package

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// Copyright 2007 NTESS and the Intrepid2 contributors.

// SPDX-License-Identifier: BSD-3-Clause

// *****************************************************************************

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#ifndef Intrepid2_HierarchicalBasisFamily_h

#define Intrepid2_HierarchicalBasisFamily_h


#include "Intrepid2_DerivedBasisFamily.hpp"


#include "Intrepid2_HierarchicalBasis_HCURL_TRI.hpp"

#include "Intrepid2_HierarchicalBasis_HCURL_TET.hpp"

#include "Intrepid2_HierarchicalBasis_HDIV_TRI.hpp"

#include "Intrepid2_HierarchicalBasis_HDIV_TET.hpp"

#include "Intrepid2_HierarchicalBasis_HDIV_PYR.hpp"

#include "Intrepid2_IntegratedLegendreBasis_HGRAD_LINE.hpp"

#include "Intrepid2_IntegratedLegendreBasis_HGRAD_TRI.hpp"

#include "Intrepid2_IntegratedLegendreBasis_HGRAD_TET.hpp"

#include "Intrepid2_IntegratedLegendreBasis_HGRAD_PYR.hpp"

#include "Intrepid2_LegendreBasis_HVOL_LINE.hpp"

#include "Intrepid2_LegendreBasis_HVOL_TRI.hpp"

#include "Intrepid2_LegendreBasis_HVOL_TET.hpp"

#include "Intrepid2_LegendreBasis_HVOL_PYR.hpp"


namespace Intrepid2 {


//Dummy basis to be temporarily used for Hierarchical bases that have not been implemented yet

  template<typename ExecutionSpace, typename OutputScalar, typename PointScalar>


  class dummyBasis

  : public Basis<ExecutionSpace,OutputScalar,PointScalar> {

  public:

    dummyBasis(int /*order*/, EPointType /*pointType*/= POINTTYPE_DEFAULT) {};

  };


// the following defines a family of hierarchical basis functions that matches the unpermuted ESEAS basis functions

// each basis member is associated with appropriate subcell topologies, making this suitable for continuous Galerkin finite elements.

  template<typename DeviceType,

           typename OutputScalar = double,

           typename PointScalar  = double,

           bool defineVertexFunctions = true>


  class HierarchicalTriangleBasisFamily

  {

  public:

    // we will fill these in as we implement them

    using HGRAD = IntegratedLegendreBasis_HGRAD_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>;

    using HCURL = HierarchicalBasis_HCURL_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.

    using HDIV  = HierarchicalBasis_HDIV_TRI<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>; // last template argument: useCGBasis; corresponds with defineVertexFunctions.

    using HVOL  = LegendreBasis_HVOL_TRI<DeviceType,OutputScalar,PointScalar>;

  };


  template<typename DeviceType,

           typename OutputScalar = double,

           typename PointScalar  = double,

           bool defineVertexFunctions = true>


  class HierarchicalTetrahedronBasisFamily

  {

  public:

    // we will fill these in as we implement them

    using HGRAD = IntegratedLegendreBasis_HGRAD_TET<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>;

    using HCURL = HierarchicalBasis_HCURL_TET<DeviceType,OutputScalar,PointScalar>;

    using HDIV  = HierarchicalBasis_HDIV_TET<DeviceType,OutputScalar,PointScalar>;

    using HVOL  = LegendreBasis_HVOL_TET<DeviceType,OutputScalar,PointScalar>;

  };


  template<typename DeviceType,

           typename OutputScalar = double,

           typename PointScalar  = double,

           bool defineVertexFunctions = true>


  class HierarchicalPyramidBasisFamily

  {

  public:

    // we will fill these in as we implement them

    using HGRAD = IntegratedLegendreBasis_HGRAD_PYR<DeviceType,OutputScalar,PointScalar,defineVertexFunctions>;

    using HCURL = void;

    using HDIV  = HierarchicalBasis_HDIV_PYR<DeviceType,OutputScalar,PointScalar>;

    using HVOL  = LegendreBasis_HVOL_PYR<DeviceType,OutputScalar,PointScalar>;

  };


  template<typename DeviceType,

           typename OutputScalar = double,

           typename PointScalar  = double>

  using HierarchicalBasisFamily = DerivedBasisFamily< IntegratedLegendreBasis_HGRAD_LINE<DeviceType,OutputScalar,PointScalar,true>,

                                                      LegendreBasis_HVOL_LINE<DeviceType,OutputScalar,PointScalar>,

                                                      HierarchicalTriangleBasisFamily<DeviceType,OutputScalar,PointScalar>,

                                                      HierarchicalTetrahedronBasisFamily<DeviceType,OutputScalar,PointScalar>,

                                                      HierarchicalPyramidBasisFamily<DeviceType,OutputScalar,PointScalar>

                                                      >;


  template<typename DeviceType,

           typename OutputScalar = double,

           typename PointScalar  = double>

  using DGHierarchicalBasisFamily = DerivedBasisFamily< IntegratedLegendreBasis_HGRAD_LINE<DeviceType,OutputScalar,PointScalar,false>,

                                                        LegendreBasis_HVOL_LINE<DeviceType,OutputScalar,PointScalar>,

                                                        HierarchicalTriangleBasisFamily<DeviceType,OutputScalar,PointScalar,false>,

                                                        HierarchicalTetrahedronBasisFamily<DeviceType,OutputScalar,PointScalar,false>,

                                                        HierarchicalPyramidBasisFamily<DeviceType,OutputScalar,PointScalar,false>

                                                      >;


}


#endif /* Intrepid2_HierarchicalBasisFamily_h */

Intrepid2_DerivedBasisFamily.hpp
Stateless class representing a family of basis functions, templated on H(vol) and H(grad) on the line...

Intrepid2_HierarchicalBasis_HCURL_TET.hpp
H(curl) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomia...

Intrepid2_HierarchicalBasis_HCURL_TRI.hpp
H(curl) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomia...

Intrepid2_HierarchicalBasis_HDIV_PYR.hpp
H(div) basis on the pyramid based on integrated Legendre polynomials.

Intrepid2_HierarchicalBasis_HDIV_TET.hpp
H(div) basis on the tetrahedron using a construction involving Legendre and integrated Jacobi polynom...

Intrepid2_HierarchicalBasis_HDIV_TRI.hpp
H(div) basis on the triangle using a construction involving Legendre and integrated Jacobi polynomial...

Intrepid2_IntegratedLegendreBasis_HGRAD_LINE.hpp
H(grad) basis on the line based on integrated Legendre polynomials.

Intrepid2_IntegratedLegendreBasis_HGRAD_PYR.hpp
H(grad) basis on the pyramid based on integrated Legendre polynomials.

Intrepid2_IntegratedLegendreBasis_HGRAD_TET.hpp
H(grad) basis on the tetrahedon based on integrated Legendre polynomials.

Intrepid2_IntegratedLegendreBasis_HGRAD_TRI.hpp
H(grad) basis on the triangle based on integrated Legendre polynomials.

Intrepid2_LegendreBasis_HVOL_LINE.hpp
H(vol) basis on the line based on Legendre polynomials.

Intrepid2_LegendreBasis_HVOL_PYR.hpp
H(vol) basis on the pyramid based on Legendre polynomials.

Intrepid2_LegendreBasis_HVOL_TET.hpp
H(vol) basis on the triangle based on integrated Legendre polynomials.

Intrepid2_LegendreBasis_HVOL_TRI.hpp
H(vol) basis on the triangle based on integrated Legendre polynomials.

HierarchicalBasisFamily
A family of hierarchical basis functions, constructed in a way that follows work by Fuentes et al.

Intrepid2::HierarchicalBasis_HCURL_TET
For mathematical details of the construction, see:
Definition Intrepid2_HierarchicalBasis_HCURL_TET.hpp:683

Intrepid2::HierarchicalBasis_HCURL_TRI
For mathematical details of the construction, see:
Definition Intrepid2_HierarchicalBasis_HCURL_TRI.hpp:330

Intrepid2::HierarchicalBasis_HDIV_PYR
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line.
Definition Intrepid2_HierarchicalBasis_HDIV_PYR.hpp:1241

Intrepid2::HierarchicalBasis_HDIV_TET
For mathematical details of the construction, see:
Definition Intrepid2_HierarchicalBasis_HDIV_TET.hpp:701

Intrepid2::HierarchicalBasis_HDIV_TRI
For mathematical details of the construction, see:
Definition Intrepid2_HierarchicalBasis_HDIV_TRI.hpp:46

Intrepid2::HierarchicalPyramidBasisFamily
Definition Intrepid2_HierarchicalBasisFamily.hpp:81

Intrepid2::HierarchicalTetrahedronBasisFamily
Definition Intrepid2_HierarchicalBasisFamily.hpp:66

Intrepid2::HierarchicalTriangleBasisFamily
Definition Intrepid2_HierarchicalBasisFamily.hpp:52

Intrepid2::IntegratedLegendreBasis_HGRAD_PYR
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line.
Definition Intrepid2_IntegratedLegendreBasis_HGRAD_PYR.hpp:671

Intrepid2::IntegratedLegendreBasis_HGRAD_TET
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line.
Definition Intrepid2_IntegratedLegendreBasis_HGRAD_TET.hpp:580

Intrepid2::IntegratedLegendreBasis_HGRAD_TRI
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line: e...
Definition Intrepid2_IntegratedLegendreBasis_HGRAD_TRI.hpp:343

Intrepid2::LegendreBasis_HVOL_PYR
Basis defining integrated Legendre basis on the line, a polynomial subspace of H(grad) on the line.
Definition Intrepid2_LegendreBasis_HVOL_PYR.hpp:262

Intrepid2::LegendreBasis_HVOL_TET
Basis defining Legendre basis on the line, a polynomial subspace of H(vol) on the line: extension to ...
Definition Intrepid2_LegendreBasis_HVOL_TET.hpp:185

Intrepid2::LegendreBasis_HVOL_TRI
Basis defining Legendre basis on the line, a polynomial subspace of H(vol) on the line: extension to ...
Definition Intrepid2_LegendreBasis_HVOL_TRI.hpp:155