localfunctiongeometry.hh

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#ifndef DUNE_FEM_GRIDPART_COMMON_LOCALFUNCTIONGEOMETRY_HH
#define DUNE_FEM_GRIDPART_COMMON_LOCALFUNCTIONGEOMETRY_HH
 
#include <type_traits>
#include <utility>
 
#include <dune/common/fmatrix.hh>
#include <dune/common/fvector.hh>
 
#include <dune/geometry/quadraturerules.hh>
#include <dune/geometry/referenceelements.hh>
 
#include <dune/grid/common/geometry.hh>
 
#include <dune/fem/common/fmatrixcol.hh>
 
#include <dune/fem/gridpart/common/simplegeometry.hh>
 
namespace Dune
{
 
  namespace Fem
  {
 
    // LocalFunctionBasicGeometry
    // --------------------------
 
    template< class LocalFunction >
    struct LocalFunctionBasicGeometry
    {
      typedef typename LocalFunction::EntityType Entity;
      typedef typename LocalFunction::FunctionSpaceType::RangeFieldType ctype;
 
      static const int mydimension = Entity::mydimension;
      static const int coorddimension = LocalFunction::FunctionSpaceType::dimRange;
 
      typedef FieldVector< ctype, mydimension > LocalCoordinate;
      typedef FieldVector< ctype, coorddimension > GlobalCoordinate;
 
      typedef FieldMatrix< ctype, mydimension, coorddimension > JacobianTransposed;
 
      template< class... Args, std::enable_if_t< std::is_constructible< LocalFunction, Args &&... >::value, int > = 0 >
      LocalFunctionBasicGeometry ( Args &&... args )
        : localFunction_( std::forward< Args >( args )... )
      {}
 
      GlobalCoordinate global ( const LocalCoordinate &local ) const
      {
        GlobalCoordinate ret;
        localFunction().evaluate( local, ret );
        return ret;
      }
 
      JacobianTransposed jacobianTransposed ( const LocalCoordinate &local ) const
      {
        const auto gradFT = localFunction().geometry().jacobianTransposed( local );
 
        typename LocalFunction::FunctionSpaceType::JacobianRangeType gradPhi;
 
        localFunction().jacobian( local, gradPhi );
 
        JacobianTransposed jacTransposed( 0 );
        for( int i = 0; i < coorddimension; ++i )
        {
          FieldMatrixColumn< JacobianTransposed > col( jacTransposed, i );
          gradFT.mv( gradPhi[ i ], col );
        }
        return jacTransposed;
      }
 
      const QuadratureRule< ctype, mydimension > &quadrature ( int order ) const
      {
        return QuadratureRules< ctype, mydimension >::rule( type(), order + (2*localFunction().order() + 1) );
      }
 
      GeometryType type () const { return localFunction().entity().type(); }
 
      void bind ( const Entity &entity ) { localFunction_.bind( entity ); }
      void init ( const Entity &entity ) { bind( entity ); }
 
      const LocalFunction &localFunction () const { return localFunction_; }
 
    private:
      LocalFunction localFunction_;
    };
 
 
 
    // LocalFunctionGeometry
    // ---------------------
 
    template< class LocalFunction >
    using LocalFunctionGeometry = SimpleGeometry< LocalFunctionBasicGeometry< LocalFunction > >;
 
  } // namespace Fem
 
} // namespace Dune
 
#endif // #ifndef DUNE_FEM_GRIDPART_COMMON_LOCALFUNCTIONGEOMETRY_HH