qkdg.hh

// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
 
#ifndef DUNE_PDELAB_FINITEELEMENTMAP_QKDG_HH
#define DUNE_PDELAB_FINITEELEMENTMAP_QKDG_HH
 
#include <dune/pdelab/finiteelement/qkdglagrange.hh>
#include <dune/pdelab/finiteelement/qkdglegendre.hh>
#include <dune/pdelab/finiteelement/qkdglobatto.hh>
 
#include <dune/pdelab/finiteelementmap/opbfem.hh>
#include <dune/pdelab/finiteelementmap/finiteelementmap.hh>
 
namespace Dune {
  namespace PDELab {
 
    enum class QkDGBasisPolynomial { lagrange, legendre, lobatto, l2orthonormal};
 
#ifndef DOXYGEN
    // Class declaration. Use template specialization below.
    template<class D, class R, int k, int d, QkDGBasisPolynomial p = QkDGBasisPolynomial::lagrange>
    class QkDGLocalFiniteElementMap;
#endif
 
    template<class D, class R, int k, int d>
    class QkDGLocalFiniteElementMap<D,R,k,d,QkDGBasisPolynomial::lagrange>
      : public Dune::PDELab::SimpleLocalFiniteElementMap< Dune::QkDGLagrangeLocalFiniteElement<D,R,k,d>,d>
    {
    public:
 
      static constexpr bool fixedSize()
      {
        return true;
      }
 
      static constexpr bool hasDOFs(int codim)
      {
        return codim == 0;
      }
 
      static constexpr std::size_t size(GeometryType gt)
      {
        if (gt == GeometryTypes::cube(d))
          return Dune::QkStuff::QkSize<k,d>::value;
        else
          return 0;
      }
 
      static constexpr std::size_t maxLocalSize()
      {
        return Dune::QkStuff::QkSize<k,d>::value;
      }
 
      static constexpr QkDGBasisPolynomial polynomial()
      {
        return QkDGBasisPolynomial::lagrange;
      }
 
      static constexpr std::size_t order()
      {
        return k;
      }
    };
 
    template<class D, class R, int k, int d>
    class QkDGLocalFiniteElementMap<D,R,k,d,QkDGBasisPolynomial::legendre>
      : public Dune::PDELab::SimpleLocalFiniteElementMap< Dune::QkDGLegendreLocalFiniteElement<D,R,k,d>,d>
    {
    public:
 
      static constexpr bool fixedSize()
      {
        return true;
      }
 
      static constexpr bool hasDOFs(int codim)
      {
        return codim == 0;
      }
 
      static constexpr std::size_t size(GeometryType gt)
      {
        if (gt == GeometryTypes::cube(d))
          return Dune::QkStuff::QkSize<k,d>::value;
        else
          return 0;
      }
 
      static constexpr std::size_t maxLocalSize()
      {
        return Dune::LegendreStuff::LegendreSize<k,d>::value;
      }
 
      static constexpr QkDGBasisPolynomial polynomial()
      {
        return QkDGBasisPolynomial::legendre;
      }
 
      static constexpr std::size_t order()
      {
        return k;
      }
    };
 
    template<class D, class R, int k, int d>
    class QkDGLocalFiniteElementMap<D,R,k,d,QkDGBasisPolynomial::lobatto>
      : public Dune::PDELab::SimpleLocalFiniteElementMap< Dune::QkDGGLLocalFiniteElement<D,R,k,d>,d>
    {
    public:
 
      static constexpr bool fixedSize()
      {
        return true;
      }
 
      static constexpr bool hasDOFs(int codim)
      {
        return codim == 0;
      }
 
      static constexpr std::size_t size(GeometryType gt)
      {
        if (gt == GeometryTypes::cube(d))
          return Dune::QkStuff::QkSize<k,d>::value;
        else
          return 0;
      }
 
      static constexpr std::size_t maxLocalSize()
      {
        return Dune::QkStuff::QkSize<k,d>::value;
      }
 
      static constexpr QkDGBasisPolynomial polynomial()
      {
        return QkDGBasisPolynomial::lobatto;
      }
 
      static constexpr std::size_t order()
      {
        return k;
      }
    };
 
 
   template<class D, class R, int k, int d>
    class QkDGLocalFiniteElementMap<D,R,k,d,QkDGBasisPolynomial::l2orthonormal>
      : public OPBLocalFiniteElementMap<D,R,k,d,Dune::GeometryType::cube,
#if HAVE_GMP
                                        Dune::GMPField<512>,
#else
                                        R,
#endif
                                        Dune::PB::BasisType::Qk>
    {
    public:
 
      static constexpr QkDGBasisPolynomial polynomial()
      {
        return QkDGBasisPolynomial::l2orthonormal;
      }
 
      static constexpr std::size_t order()
      {
        return k;
      }
 
    };
 
  }
}
 
#endif // DUNE_PDELAB_FINITEELEMENTMAP_QKDG_HH