numericalresidual.hh

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// -*- tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=8 sw=2 sts=2:
#ifndef DUNE_PDELAB_LOCALOPERATOR_NUMERICALRESIDUAL_HH
#define DUNE_PDELAB_LOCALOPERATOR_NUMERICALRESIDUAL_HH
 
#include <cmath>
 
#include <dune/pdelab/gridfunctionspace/localvector.hh>
#include <dune/pdelab/gridoperator/common/localmatrix.hh>
 
namespace Dune {
  namespace PDELab {
 
 
    //
    //  Implementation of alpha_*() in terms of jacobian_*()
    //
 
 
    template<typename Imp>
    class JacobianBasedAlphaVolume
    {
    public:
 
      template<typename EG, typename LFSU, typename X, typename LFSV,
               typename R>
      void alpha_volume
      ( const EG& eg,
        const LFSU& lfsu, const X& x, const LFSV& lfsv,
        R& r) const
      {
        typedef LocalMatrix<typename R::value_type> Jacobian;
        typedef typename Jacobian::WeightedAccumulationView JacobianView;
 
        Jacobian mat(r.size(),x.size(), 0);
        JacobianView matview = mat.weightedAccumulationView(1.0);
        asImp().jacobian_volume(eg, lfsu, x, lfsv, matview);
        // we need to include the weight here, as umv() and usmv() operate on the bare container for effiency
        mat.usmv(r.weight(),x,r);
      }
 
    private:
      Imp& asImp () { return static_cast<Imp &> (*this); }
      const Imp& asImp () const { return static_cast<const Imp &>(*this); }
    };
 
 
    template<typename Imp>
    class JacobianBasedAlphaSkeleton
    {
    public:
 
      template<typename IG, typename LFSU, typename X, typename LFSV,
               typename R>
      void alpha_skeleton
      ( const IG& ig,
        const LFSU& lfsu_s, const X& x_s, const LFSV& lfsv_s,
        const LFSU& lfsu_n, const X& x_n, const LFSV& lfsv_n,
        R& r_s, R& r_n) const
      {
        typedef LocalMatrix<typename R::value_type> Jacobian;
        typedef typename Jacobian::WeightedAccumulationView JacobianView;
 
        Jacobian mat_ss(r_s.size(),x_s.size(),0);
        Jacobian mat_sn(r_s.size(),x_n.size(),0);
        Jacobian mat_ns(r_n.size(),x_s.size(),0);
        Jacobian mat_nn(r_n.size(),x_n.size(),0);
 
        JacobianView view_ss = mat_ss.weightedAccumulationView(1.0);
        JacobianView view_sn = mat_sn.weightedAccumulationView(1.0);
        JacobianView view_ns = mat_ns.weightedAccumulationView(1.0);
        JacobianView view_nn = mat_nn.weightedAccumulationView(1.0);
 
        asImp().jacobian_skeleton(ig,
          lfsu_s, x_s, lfsv_s,
          lfsu_n, x_n, lfsv_n,
          view_ss, view_sn, view_ns, view_nn);
        // TODO: Reihenfolge der Multiplikationen!
        mat_ss.usmv(r_s.weight(),x_s,r_s);
        mat_ns.usmv(r_n.weight(),x_s,r_n);
        mat_sn.usmv(r_s.weight(),x_n,r_s);
        mat_nn.usmv(r_n.weight(),x_n,r_n);
      }
 
    private:
      Imp& asImp () { return static_cast<Imp &> (*this); }
      const Imp& asImp () const { return static_cast<const Imp &>(*this); }
    };
 
 
    template<typename Imp>
    class JacobianBasedAlphaBoundary
    {
    public:
 
      template<typename IG, typename LFSU, typename X, typename LFSV,
               typename R>
      void alpha_boundary
      ( const IG& ig,
        const LFSU& lfsu, const X& x, const LFSV& lfsv,
        R& r) const
      {
        typedef LocalMatrix<typename R::value_type> Jacobian;
        typedef typename Jacobian::WeightedAccumulationView JacobianView;
 
        Jacobian mat(x.size(),r.size(), 0);
        JacobianView view = mat.weightedAccumulationView(1.0);
        asImp().jacobian_boundary(ig, lfsu, x, lfsv, view);
        // we need to include the weight here, as umv() and usmv() operate on the bare container for effiency
        mat.usmv(r.weight(),x,r);
      }
 
    private:
      Imp& asImp () { return static_cast<Imp &> (*this); }
      const Imp& asImp () const { return static_cast<const Imp &>(*this); }
    };
 
  }
}
 
#endif // DUNE_PDELAB_LOCALOPERATOR_NUMERICALRESIDUAL_HH