localerror.hh

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#ifndef DUNE_FEM_MARKING_LOCALERROR_HH
#define DUNE_FEM_MARKING_LOCALERROR_HH
 
#include <dune/common/dynvector.hh>
 
#include <dune/fem/function/localfunction/const.hh>
#include <dune/fem/space/common/functionspace.hh>
 
namespace Dune
{
 
  namespace Fem
  {
 
    // LocalFunctionalError
    // --------------------
 
    template< class ErrorFunctional >
    class LocalFunctionalError
    {
      typedef LocalFunctionalError< ErrorFunctional > ThisType;
 
      static_assert( ErrorFunctional::dimRange == 1, "Error functionals must have dimRange == 1." );
 
    public:
      typedef ErrorFunctional ErrorFunctionalType;
 
      typedef typename ErrorFunctionalType::DiscreteFunctionSpaceType DiscreteFunctionSpaceType;
      typedef typename ErrorFunctionalType::GridPartType GridPartType;
 
      typedef typename DiscreteFunctionSpaceType::DomainType DomainType;
      typedef typename DiscreteFunctionSpaceType::RangeType RangeType;
      typedef typename DiscreteFunctionSpaceType::RangeFieldType RangeFieldType;
 
      typedef typename GridPartType::template Codim< 0 >::EntityType ElementType;
 
      typedef ConstLocalFunction< ErrorFunctionalType > LocalErrorFunctionalType;
 
    private:
      struct LocalOne
      {
        typedef typename GridPartType::template Codim< 0 >::EntityType EntityType;
 
        typedef typename DiscreteFunctionSpaceType::FunctionSpaceType FunctionSpaceType;
 
        static const int dimDomain = FunctionSpaceType::dimDomain;
        static const int dimRange = FunctionSpaceType::dimRange;
 
        typedef typename FunctionSpaceType::DomainType DomainType;
        typedef typename FunctionSpaceType::RangeType RangeType;
        typedef typename FunctionSpaceType::RangeFieldType RangeFieldType;
 
        LocalOne ( const EntityType &entity, int order ) : entity_( entity ), order_( order ) {}
 
        template< class Point >
        void evaluate ( const Point &x, RangeType &value ) const
        {
          value[ 0 ] = 1;
        }
 
        template< class Quadrature, class Values >
        void evaluateQuadrature ( const Quadrature &quadrature, Values &values ) const
        {
          for( const auto qp : quadrature )
            evaluate( qp, values[ qp.index() ] );
        }
 
        int order () const { return order_; }
 
        const EntityType &entity () const { return entity_; }
 
      private:
        const EntityType &entity_;
        int order_;
      };
 
    public:
      explicit LocalFunctionalError ( const ErrorFunctionalType &errorFunctional )
        : localErrorFunctional_( errorFunctional )
      {
        localIndicator_.reserve( space().blockMapper().maxNumDofs() * DiscreteFunctionSpaceType::localBlockSize );
      }
 
      RangeFieldType operator() ( const ElementType &element ) const
      {
        localErrorFunctional_.init( element );
        localIndicator_.resize( localErrorFunctional_.basisFunctionSet().size() );
 
        const auto &interpolation = space().interpolation( element );
        interpolation( LocalOne( element, localErrorFunctional_.order() ), localIndicator_ );
 
        return localErrorFunctional_.localDofVector() * localIndicator_;
      }
 
      const DiscreteFunctionSpaceType &space () const { return localErrorFunctional_.discreteFunction().space(); }
 
    private:
      LocalErrorFunctionalType localErrorFunctional_;
      Dune::DynamicVector< RangeFieldType > localIndicator_;
    };
 
  } // namespace Fem
 
} // namespace Dune
 
#endif // #ifndef DUNE_FEM_MARKING_LOCALERROR_HH