legendre.hh

#ifndef DUNE_FEM_HPDG_SPACE_DISCONTINUOUSGALERKIN_LEGENDRE_HH
#define DUNE_FEM_HPDG_SPACE_DISCONTINUOUSGALERKIN_LEGENDRE_HH
 
#include <dune/grid/common/gridenums.hh>
 
#include <dune/fem/operator/matrix/istlmatrixadapter.hh>
#include <dune/fem/space/common/capabilities.hh>
#include <dune/fem/space/common/commoperations.hh>
#include <dune/fem/space/common/defaultcommhandler.hh>
#include <dune/fem/space/common/localrestrictprolong.hh>
#include <dune/fem/space/discontinuousgalerkin/localrestrictprolong.hh>
 
#include <dune/fem/space/shapefunctionset/selectcaching.hh>
#include <dune/fem/space/basisfunctionset/hpdg/legendre.hh>
 
#include "blockmapper.hh"
#include "space.hh"
 
namespace Dune
{
 
  namespace Fem
  {
 
    namespace hpDG
    {
 
      // Internal forward declaration
      // ----------------------------
 
      template< class FunctionSpace, class GridPart, int order, class Storage = Fem::CachingStorage >
      class LegendreDiscontinuousGalerkinSpace;
 
      template< class FunctionSpace, class GridPart, int order, class Storage = Fem::CachingStorage >
      class HierarchicLegendreDiscontinuousGalerkinSpace;
 
 
#ifndef DOXYGEN
 
      // LegendreDiscontinuousGalerkinSpaceTraits
      // ----------------------------------------
 
      template< class FunctionSpace, class GridPart, int order, bool hierarchicalOrdering, class Storage >
      struct LegendreDiscontinuousGalerkinSpaceTraits
      {
        // select space implementation depending on basis function ordering
        typedef typename std::conditional< hierarchicalOrdering,
            HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage >,
            LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage > >::type  DiscreteFunctionSpaceType;
 
        using FunctionSpaceType = FunctionSpace;
 
        using GridPartType = GridPart;
 
        using BasisFunctionSetsType = hpDG::LegendreBasisFunctionSets< FunctionSpaceType, GridPartType, order, hierarchicalOrdering, Storage >;
        using BasisFunctionSetType = typename BasisFunctionSetsType::BasisFunctionSetType;
 
        static const int codimension = BasisFunctionSetType::EntityType::codimension;
 
        using BlockMapperType = hpDG::DiscontinuousGalerkinBlockMapper< GridPartType, BasisFunctionSetsType >;
        static const int localBlockSize = BasisFunctionSetsType::localBlockSize;
 
        typedef Hybrid::IndexRange< int, localBlockSize > LocalBlockIndices;
 
        template< class DiscreteFunction, class Operation = Dune::Fem::DFCommunicationOperation::Copy >
        struct CommDataHandle
        {
          using OperationType = Operation;
          using Type = Dune::Fem::DefaultCommunicationHandler< DiscreteFunction, Operation >;
        };
      };
 
#endif // #ifndef DOXYGEN
 
 
 
      // LegendreDiscontinuousGalerkinSpace
      // ----------------------------------
 
      template< class FunctionSpace, class GridPart, int order, class Storage >
      class LegendreDiscontinuousGalerkinSpace
      : public hpDG::DiscontinuousGalerkinSpace< LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, order, false, Storage > >
      {
        using BaseType = hpDG::DiscontinuousGalerkinSpace< LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, order, false, Storage > >;
 
      public:
        static const int polynomialOrder = order;
 
        using GridPartType = typename BaseType::GridPartType;
        using BasisFunctionSetsType = typename BaseType::BasisFunctionSetsType;
 
        explicit LegendreDiscontinuousGalerkinSpace ( GridPartType &gridPart,
                                                      const Dune::InterfaceType interface = Dune::InteriorBorder_All_Interface,
                                                      const Dune::CommunicationDirection direction = Dune::ForwardCommunication )
          : BaseType( gridPart, BasisFunctionSetsType{}, order, interface, direction )
        {}
 
        template< class Function >
        LegendreDiscontinuousGalerkinSpace ( GridPartType &gridPart, Function function,
                                             const Dune::InterfaceType interface = Dune::InteriorBorder_All_Interface,
                                             const Dune::CommunicationDirection direction = Dune::ForwardCommunication )
          : BaseType( gridPart, BasisFunctionSetsType{}, order, function, interface, direction )
        {}
      };
 
      // HierarchicLegendreDiscontinuousGalerkinSpace
      // --------------------------------------------
 
      template< class FunctionSpace, class GridPart, int order, class Storage >
      class HierarchicLegendreDiscontinuousGalerkinSpace
      : public hpDG::DiscontinuousGalerkinSpace< LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, order, true, Storage > >
      {
        using BaseType = hpDG::DiscontinuousGalerkinSpace< LegendreDiscontinuousGalerkinSpaceTraits< FunctionSpace, GridPart, order, true, Storage > >;
 
      public:
        static const int polynomialOrder = order;
 
        using GridPartType = typename BaseType::GridPartType;
        using EntityType   = typename BaseType::EntityType;
        using BasisFunctionSetsType = typename BaseType::BasisFunctionSetsType;
 
        explicit HierarchicLegendreDiscontinuousGalerkinSpace ( GridPartType &gridPart,
                                                                const Dune::InterfaceType interface = Dune::InteriorBorder_All_Interface,
                                                                const Dune::CommunicationDirection direction = Dune::ForwardCommunication )
          : BaseType( gridPart, BasisFunctionSetsType{}, order, interface, direction )
        {}
 
        template <class Function,
                  std::enable_if_t<
                    std::is_arithmetic<
                      decltype(Function(std::declval<const EntityType>()))>::value,int> i=0>
        HierarchicLegendreDiscontinuousGalerkinSpace ( GridPartType &gridPart, Function function,
                                                       const Dune::InterfaceType interface = Dune::InteriorBorder_All_Interface,
                                                       const Dune::CommunicationDirection direction = Dune::ForwardCommunication )
          : BaseType( gridPart, BasisFunctionSetsType{}, order, function, interface, direction )
        {}
      };
 
     } // namespace hpDG
 
 
 
#ifndef DOXYGEN
 
     // DefaultLocalRestrictProlong
     // ---------------------------
 
    template< class FunctionSpace, class GridPart, int order, class Storage >
    class DefaultLocalRestrictProlong< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage > >
    : public DiscontinuousGalerkinLocalRestrictProlong< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage >, false >
    {
      using BaseType = DiscontinuousGalerkinLocalRestrictProlong< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage >, false >;
 
    public:
      explicit DefaultLocalRestrictProlong ( const typename BaseType::DiscreteFunctionSpaceType &space )
        : BaseType( space )
      {}
    };
 
 
     // DefaultLocalRestrictProlong
     // ---------------------------
 
    template< class FunctionSpace, class GridPart, int order, class Storage >
    class DefaultLocalRestrictProlong< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage > >
    : public DiscontinuousGalerkinLocalRestrictProlong< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage >, false >
    {
      using BaseType = DiscontinuousGalerkinLocalRestrictProlong< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, order, Storage >, false >;
 
    public:
      explicit DefaultLocalRestrictProlong ( const typename BaseType::DiscreteFunctionSpaceType &space )
        : BaseType( space )
      {}
    };
 
 
#endif // #ifndef DOXYGEN
 
 
    namespace Capabilities
    {
      //  hpDG::LegendreDiscontinuousGalerkinSpace
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct hasStaticPolynomialOrder< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
        static const int order = polOrder;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct isLocalized< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct isAdaptive< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct viewThreadSafe< hpDG::LegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      //  hpDG::HierarchicLegendreDiscontinuousGalerkinSpace
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct hasStaticPolynomialOrder< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
        static const int order = polOrder;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct isLocalized< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct isAdaptive< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct viewThreadSafe< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
      template< class FunctionSpace, class GridPart, int polOrder, class Storage >
      struct isHierarchic< hpDG::HierarchicLegendreDiscontinuousGalerkinSpace< FunctionSpace, GridPart, polOrder, Storage > >
      {
        static const bool v = true;
      };
 
    } // namespace Capabilities
 
  } // namespace Fem
 
} // namespace Dune
 
#endif // #ifndef DUNE_FEM_HPDG_SPACE_DISCONTINUOUSGALERKIN_LEGENDRE_HH