dense.hh

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#ifndef DUNE_FEM_OPERATOR_PROJECTION_LOCAL_RIESZ_DENSE_HH
#define DUNE_FEM_OPERATOR_PROJECTION_LOCAL_RIESZ_DENSE_HH
 
#include <cassert>
#include <cstddef>
 
#include <utility>
#include <vector>
 
#include <dune/common/dynmatrix.hh>
 
#include "localrieszprojection.hh"
 
namespace Dune
{
 
  namespace Fem
  {
 
    // DenseLocalRieszProjection
    // -------------------------
 
    template< class BasisFunctionSet, class Quadrature >
    class DenseLocalRieszProjection
    : public LocalRieszProjection< BasisFunctionSet, DenseLocalRieszProjection< BasisFunctionSet, Quadrature > >
    {
      typedef DenseLocalRieszProjection< BasisFunctionSet, Quadrature > ThisType;
      typedef LocalRieszProjection< BasisFunctionSet, DenseLocalRieszProjection< BasisFunctionSet, Quadrature > > BaseType;
 
    public:
      typedef typename BaseType::BasisFunctionSetType BasisFunctionSetType;
 
      explicit DenseLocalRieszProjection ( const BasisFunctionSetType &basisFunctionSet )
        : basisFunctionSet_( basisFunctionSet ),
          inverse_( basisFunctionSet.size(), basisFunctionSet.size() )
      {
        assemble( basisFunctionSet, inverse_ );
        inverse_.invert();
      }
 
      explicit DenseLocalRieszProjection ( BasisFunctionSetType &&basisFunctionSet )
        : basisFunctionSet_( std::forward< BasisFunctionSetType >( basisFunctionSet ) ),
          inverse_( basisFunctionSet.size(), basisFunctionSet.size() )
      {
        assemble( basisFunctionSet, inverse_ );
        inverse_.invert();
      }
 
      DenseLocalRieszProjection ( const ThisType &other ) = default;
 
      DenseLocalRieszProjection ( ThisType &&other )
        : basisFunctionSet_( std::move( other.basisFunctionSet_ ) ),
          inverse_( std::move( other.inverse_ ) )
      {}
 
      ThisType &operator= ( const ThisType &other ) = default;
 
      ThisType &operator= ( ThisType &&other )
      {
        basisFunctionSet_ = std::move( other.basisFunctionSet_ );
        inverse_ = std::move( other.inverse_ );
        return *this;
      }
 
      BasisFunctionSetType basisFunctionSet () const { return basisFunctionSet_; }
 
      template< class F, class LocalDofVector >
      void apply ( const F&f, LocalDofVector &dofs ) const
      {
        inverse_.mv( f, dofs );
      }
 
    private:
      template< class DenseMatrix >
      void assemble ( const BasisFunctionSetType &basisFunctionSet, DenseMatrix &matrix )
      {
        const std::size_t size = basisFunctionSet.size();
        std::vector< typename BasisFunctionSetType::RangeType > phi( size );
 
        matrix = static_cast< typename DenseMatrix::value_type >( 0 );
        assert( matrix.N() == basisFunctionSet.size() );
        assert( matrix.M() == basisFunctionSet.size() );
 
        const auto &geometry = basisFunctionSet.geometry();
        const Quadrature quadrature( geometry.type(), 2*basisFunctionSet.order() );
        const std::size_t nop = quadrature.nop();
        for( std::size_t qp = 0; qp < nop; ++qp )
        {
          basisFunctionSet.evaluateAll( quadrature[ qp ], phi );
 
          const auto weight = quadrature.weight( qp )*geometry.integrationElement( quadrature.point( qp ) );
          for( std::size_t i = 0; i < size; ++i )
          {
            matrix[ i ][ i ] += weight*( phi[ i ] * phi[ i ] );
            for( std::size_t j = i+1; j < size; ++j )
            {
              const auto value = weight*( phi[ i ]* phi[ j ] );
              matrix[ i ][ j ] += value;
              matrix[ j ][ i ] += value;
            }
          }
        }
      }
 
      BasisFunctionSetType basisFunctionSet_;
      Dune::DynamicMatrix< typename BasisFunctionSetType::FunctionSpaceType::RangeFieldType > inverse_;
    };
 
  } // namespace Fem
 
} // namepsace Dune
 
#endif // #ifndef DUNE_FEM_OPERATOR_PROJECTION_LOCAL_RIESZ_DENSE_HH