inner_boundary_impl.h

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/*
 * Copyright (c) 2011-2015:  G-CSC, Goethe University Frankfurt
 * Author: Markus Breit
 * 
 * This file is part of UG4.
 * 
 * UG4 is free software: you can redistribute it and/or modify it under the
 * terms of the GNU Lesser General Public License version 3 (as published by the
 * Free Software Foundation) with the following additional attribution
 * requirements (according to LGPL/GPL v3 §7):
 * 
 * (1) The following notice must be displayed in the Appropriate Legal Notices
 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (2) The following notice must be displayed at a prominent place in the
 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (3) The following bibliography is recommended for citation and must be
 * preserved in all covered files:
 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
 *   parallel geometric multigrid solver on hierarchically distributed grids.
 *   Computing and visualization in science 16, 4 (2013), 151-164"
 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
 *   flexible software system for simulating pde based models on high performance
 *   computers. Computing and visualization in science 16, 4 (2013), 165-179"
 * 
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
 * GNU Lesser General Public License for more details.
 */
 
#ifndef __H__UG__LIB_DISC__SPACIAL_DISCRETIZATION__ELEM_DISC__NEUMANN_BOUNDARY__FV1__INNER_BOUNDARY_IMPL__
#define __H__UG__LIB_DISC__SPACIAL_DISCRETIZATION__ELEM_DISC__NEUMANN_BOUNDARY__FV1__INNER_BOUNDARY_IMPL__
 
#include "inner_boundary.h"
#include "lib_disc/spatial_disc/disc_util/geom_provider.h"
#include "lib_disc/spatial_disc/disc_util/fv1_geom.h"
#include "lib_algebra/cpu_algebra_types.h"
 
 
namespace ug
{
 
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
set_flux_scale(number scale)
{
  set_flux_scale(make_sp(new ConstUserNumber<dim>(scale)));
}
 
 
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
set_flux_scale(SmartPtr<CplUserData<number, dim> > scaleFct)
{
  m_fluxScale.set_data(scaleFct);
  this->register_import(m_fluxScale);
}
 
#ifdef UG_FOR_LUA
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
set_flux_scale(const char* luaScaleFctName)
{
  set_flux_scale(LuaUserDataFactory<number,dim>::create(luaScaleFctName));
}
#endif
 
 
 
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
prepare_setting(const std::vector<LFEID>& vLfeID, bool bNonRegularGrid)
{
  // check that Lagrange 1st order
  for(size_t i = 0; i < vLfeID.size(); ++i)
    if(vLfeID[i].type() != LFEID::LAGRANGE || vLfeID[i].order() != 1)
      UG_THROW("FV1InnerBoundary: 1st order lagrange expected.");
 
  // update assemble functions
  m_bNonRegularGrid = bNonRegularGrid;
  register_all_fv1_funcs();
}
 
template <typename TImpl, typename TDomain>
bool FV1InnerBoundaryElemDisc<TImpl, TDomain>::
use_hanging() const
{
  return true;
}
 
 
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::previous_solution_required(bool b)
{
  m_bPrevSolRequired = b;
}
 
 
template <typename TImpl, typename TDomain>
template <typename TAlgebra>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::prep_timestep
(
  number future_time,
  number time,
  VectorProxyBase* upb
)
{
  if (!m_bPrevSolRequired)
    return;
 
  // the proxy provided here will not survive, but the vector it wraps will,
  // so we re-wrap it in a new proxy for ourselves
  typedef VectorProxy<typename TAlgebra::vector_type> tProxy;
  tProxy* proxy = static_cast<tProxy*>(upb);
  m_spOldSolutionProxy = make_sp(new tProxy(proxy->m_v));
}
 
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
prep_elem_loop(const ReferenceObjectID roid, const int si)
{
  m_si = si;
 
  //  set local positions
  if (!TFVGeom::usesHangingNodes)
  {
    static const int refDim = TElem::dim;
    static const TFVGeom& geo = GeomProvider<TFVGeom>::get();
    const MathVector<refDim>* vBFip = geo.bf_local_ips();
    const size_t numBFip = geo.num_bf_local_ips();
 
    m_fluxScale.template set_local_ips<refDim>(vBFip, numBFip, false);
  }
}
 
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
fsh_elem_loop()
{}
 
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
prep_elem(const LocalVector& u, GridObject* elem, const ReferenceObjectID roid, const MathVector<dim> vCornerCoords[])
{
#ifdef UG_PARALLEL
  DistributedGridManager& dgm = *this->approx_space()->domain()->grid()->distributed_grid_manager();
  m_bCurrElemIsHSlave = dgm.get_status(elem) & ES_H_SLAVE;
#endif
 
  // on horizontal interfaces: only treat hmasters
  if (m_bCurrElemIsHSlave) return;
 
  // update Geometry for this element
  static TFVGeom& geo = GeomProvider<TFVGeom>::get();
  try {geo.update(elem, vCornerCoords, &(this->subset_handler()));}
  UG_CATCH_THROW("FV1InnerBoundaryElemDisc::prep_elem: "
            "Cannot update Finite Volume Geometry.");
 
  // set local positions
  if (TFVGeom::usesHangingNodes)
  {
    const int refDim = TElem::dim;
    const MathVector<refDim>* vBFip = geo.bf_local_ips();
    const size_t numBFip = geo.num_bf_local_ips();
 
    m_fluxScale.template set_local_ips<refDim>(vBFip, numBFip);
  }
 
  //  set global positions
  const MathVector<dim>* vBFip = geo.bf_global_ips();
  const size_t numBFip = geo.num_bf_global_ips();
 
  m_fluxScale.set_global_ips(vBFip, numBFip);
 
  // create a local vector with values of the previous solution
  if (!m_bPrevSolRequired)
    return;
 
  // copy local vector of current solution to get indices and map access right,
  // then copy correct values
  m_locUOld = u;
  const LocalIndices& ind = m_locUOld.get_indices();
  for (size_t fct = 0; fct < m_locUOld.num_all_fct(); ++fct)
  {
    for(size_t dof = 0; dof < m_locUOld.num_all_dof(fct); ++dof)
    {
      const DoFIndex di = ind.multi_index(fct, dof);
      m_locUOld.value(fct, dof) = m_spOldSolutionProxy->evaluate(di);
    }
  }
}
 
// assemble stiffness part of Jacobian
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
add_jac_A_elem(LocalMatrix& J, const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[])
{
  // on horizontal interfaces: only treat hmasters
  if (m_bCurrElemIsHSlave) return;
 
  // get finite volume geometry
  const static TFVGeom& fvgeom = GeomProvider<TFVGeom>::get();
 
  FluxDerivCond fdc;
  size_t nFct = u.num_fct();
  m_uAtCorner.resize(nFct);
  m_uOldAtCorner.resize(nFct);
  for (size_t i = 0; i < fvgeom.num_bf(); ++i)
  {
    // get current BF
    const typename TFVGeom::BF& bf = fvgeom.bf(i);
 
    // get associated node and subset index
    const int co = bf.node_id();
 
    // get corner coordinates
    const MathVector<dim>& cc = bf.global_corner(0);
 
    // get solution at the corner of the bf
    for (size_t fct = 0; fct < nFct; fct++)
      m_uAtCorner[fct] = u(fct,co);
 
    if (!m_bPrevSolRequired)
    {
      if (!static_cast<TImpl*>(this)->fluxDensityDerivFct(m_uAtCorner, elem, cc, m_si, fdc))
        UG_THROW("FV1InnerBoundaryElemDisc::add_jac_A_elem:"
          " Call to fluxDensityDerivFct did not succeed.");
    }
    else
    {
      for (size_t fct = 0; fct < nFct; fct++)
        m_uOldAtCorner[fct] = m_locUOld(fct,co);
 
      if (!static_cast<TImpl*>(this)->fluxDensityDerivFct(m_uAtCorner, m_uOldAtCorner, elem, cc, m_si, fdc))
        UG_THROW("FV1InnerBoundaryElemDisc::add_jac_A_elem:"
          " Call to fluxDensityDerivFct did not succeed.");
    }
 
    // scale with volume of BF and flux scale (if applicable)
    number scale = bf.volume();
    if (m_fluxScale.data_given())
      scale *= m_fluxScale[i];
 
    for (size_t j=0; j<fdc.fluxDeriv.size(); j++)
      for (size_t k=0; k<fdc.fluxDeriv[j].size(); k++)
        fdc.fluxDeriv[j][k].second *= scale;
    
    // add to Jacobian
    for (size_t j=0; j<fdc.fluxDeriv.size(); j++)
    {
      for (size_t k=0; k<fdc.fluxDeriv[j].size(); k++)
      {
        if (fdc.from[j] != InnerBoundaryConstants::_IGNORE_)
          J(fdc.from[j], co, fdc.fluxDeriv[j][k].first, co) += fdc.fluxDeriv[j][k].second;
        if (fdc.to[j] != InnerBoundaryConstants::_IGNORE_)
          J(fdc.to[j], co, fdc.fluxDeriv[j][k].first, co) -= fdc.fluxDeriv[j][k].second;
      }
    } 
  }
}
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
add_jac_M_elem(LocalMatrix& J, const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[])
{}
 
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
add_def_A_elem(LocalVector& d, const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[])
{
  // on horizontal interfaces: only treat hmasters
  if (m_bCurrElemIsHSlave) return;
 
  // get finite volume geometry
  static TFVGeom& fvgeom = GeomProvider<TFVGeom>::get();
 
  FluxCond fc;
  size_t nFct = u.num_fct();
  m_uAtCorner.resize(nFct);
  m_uOldAtCorner.resize(nFct);
 
  // loop Boundary Faces
  for (size_t i = 0; i < fvgeom.num_bf(); ++i)
  {
    // get current BF
    const typename TFVGeom::BF& bf = fvgeom.bf(i);
    
    // get associated node and subset index
    const int co = bf.node_id();
 
    // get solution at the corner of the bf
    for (size_t fct = 0; fct < nFct; fct++)
      m_uAtCorner[fct] = u(fct,co);
 
    // get corner coordinates
    const MathVector<dim>& cc = bf.global_corner(0);
 
    // get flux densities in that node
    if (!m_bPrevSolRequired)
    {
      if (!static_cast<TImpl*>(this)->fluxDensityFct(m_uAtCorner, elem, cc, m_si, fc))
      {
        UG_THROW("FV1InnerBoundaryElemDisc::add_def_A_elem:"
              " Call to fluxDensityFct did not succeed.");
      }
    }
    else
    {
      // get solution at the corner of the bf
      for (size_t fct = 0; fct < nFct; fct++)
        m_uOldAtCorner[fct] = m_locUOld(fct,co);
 
      if (!static_cast<TImpl*>(this)->fluxDensityFct(m_uAtCorner, m_uOldAtCorner, elem, cc, m_si, fc))
        UG_THROW("FV1InnerBoundaryElemDisc::add_def_A_elem:"
          " Call to fluxDensityFct did not succeed.");
    }
 
    // scale with volume of BF and flux scale (if applicable)
    number scale = bf.volume();
    if (m_fluxScale.data_given())
      scale *= m_fluxScale[i];
 
    for (size_t j=0; j<fc.flux.size(); j++)
      fc.flux[j] *= scale;
 
    // add to defect
    for (size_t j=0; j<fc.flux.size(); j++)
    {
      if (fc.from[j] != InnerBoundaryConstants::_IGNORE_) d(fc.from[j], co) += fc.flux[j];
      if (fc.to[j] != InnerBoundaryConstants::_IGNORE_) d(fc.to[j], co) -= fc.flux[j];
    }
  }
}
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
add_def_M_elem(LocalVector& d, const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[])
{}
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
add_rhs_elem(LocalVector& rhs, GridObject* elem, const MathVector<dim> vCornerCoords[])
{}
 
 
// ////////////////////////////////////////////////////////////////////////////////////////////////
//   error estimation (begin)                                    //
 
//  prepares the loop over all elements of one type for the computation of the error estimator
template <typename TImpl, typename TDomain>
template <typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
prep_err_est_elem_loop(const ReferenceObjectID roid, const int si)
{
  m_si = si;
 
  //  get the error estimator data object and check that it is of the right type
  //  we check this at this point in order to be able to dispense with this check later on
  //  (i.e. in prep_err_est_elem and compute_err_est_A_elem())
  if (this->m_spErrEstData.get() == NULL)
  {
    UG_THROW("No ErrEstData object has been given to this ElemDisc!");
  }
 
  err_est_type* err_est_data = dynamic_cast<err_est_type*>(this->m_spErrEstData.get());
 
  if (!err_est_data)
  {
    UG_THROW("Dynamic cast to MultipleSideAndElemErrEstData failed."
        << std::endl << "Make sure you handed the correct type of ErrEstData to this discretization.");
  }
 
  if (!err_est_data->equal_side_order())
  {
    UG_THROW("The underlying error estimator data objects of this discretization's "
         "error estimator do not all have the same integration orders. This case "
         "is not supported by the implementation. If you need it, implement!");
  }
 
  if (err_est_data->num() < 1)
  {
    UG_THROW("No underlying error estimator data objects present. No IPs can be determined.");
  }
 
  //  set local positions
  if (!TFVGeom::usesHangingNodes)
  {
    static const int refDim = TElem::dim;
 
    // get local IPs
    size_t numSideIPs;
    const MathVector<refDim>* sideIPs;
    try
    {
      numSideIPs = err_est_data->get(0)->num_side_ips(roid);
      sideIPs = err_est_data->get(0)->template side_local_ips<refDim>(roid);
    }
    UG_CATCH_THROW("Integration points for error estimator cannot be set.");
 
    // set local IPs in import
    m_fluxScale.template set_local_ips<refDim>(sideIPs, numSideIPs, false);
 
    // store values of shape functions in local IPs
    LagrangeP1<typename reference_element_traits<TElem>::reference_element_type> trialSpace
          = Provider<LagrangeP1<typename reference_element_traits<TElem>::reference_element_type> >::get();
 
    m_shapeValues.resize(numSideIPs, trialSpace.num_sh());
    for (size_t ip = 0; ip < numSideIPs; ip++)
      trialSpace.shapes(m_shapeValues.shapesAtSideIP(ip), sideIPs[ip]);
  }
}
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
prep_err_est_elem(const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[])
{
#ifdef UG_PARALLEL
  DistributedGridManager& dgm = *this->approx_space()->domain()->grid()->distributed_grid_manager();
  m_bCurrElemIsHSlave = dgm.get_status(elem) & ES_H_SLAVE;
#endif
 
  // on horizontal interfaces: only treat hmasters
  if (m_bCurrElemIsHSlave) return;
 
  // get error estimator
  err_est_type* err_est_data = dynamic_cast<err_est_type*>(this->m_spErrEstData.get());
 
  // roid
  ReferenceObjectID roid = elem->reference_object_id();
 
  // set local positions
  if (TFVGeom::usesHangingNodes)
  {
    static const int refDim = TElem::dim;
 
    size_t numSideIPs;
    const MathVector<refDim>* sideIPs;
    try
    {
      numSideIPs = err_est_data->get(0)->num_side_ips(roid);
      sideIPs = err_est_data->get(0)->template side_local_ips<refDim>(roid);
    }
    UG_CATCH_THROW("Integration points for error estimator cannot be set.");
 
    // set local IPs in import
    m_fluxScale.template set_local_ips<refDim>(sideIPs, numSideIPs);
 
    // store values of shape functions in local IPs
    LagrangeP1<typename reference_element_traits<TElem>::reference_element_type> trialSpace
          = Provider<LagrangeP1<typename reference_element_traits<TElem>::reference_element_type> >::get();
 
    m_shapeValues.resize(numSideIPs, trialSpace.num_sh());
    for (size_t ip = 0; ip < numSideIPs; ip++)
      trialSpace.shapes(m_shapeValues.shapesAtSideIP(ip), sideIPs[ip]);
  }
 
  // set global positions
  size_t numSideIPs;
  MathVector<dim>* sideIPs;
 
  try
  {
    numSideIPs = err_est_data->get(0)->num_side_ips(roid);
    sideIPs = err_est_data->get(0)->side_global_ips(elem, vCornerCoords);
  }
  UG_CATCH_THROW("Global integration points for error estimator cannot be set.");
 
  // set local IPs in import
  m_fluxScale.set_global_ips(&sideIPs[0], numSideIPs);
}
 
//  computes the error estimator contribution for one element
template <typename TImpl, typename TDomain>
template <typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
compute_err_est_A_elem(const LocalVector& u, GridObject* elem, const MathVector<dim> vCornerCoords[], const number& scale)
{
  // on horizontal interfaces: only treat hmasters
  if (m_bCurrElemIsHSlave) return;
 
  // get error estimator
  err_est_type* err_est_data = dynamic_cast<err_est_type*>(this->m_spErrEstData.get());
 
  // cast this elem to side_type of error estimator
  typename SideAndElemErrEstData<domain_type>::side_type* side =
    dynamic_cast<typename SideAndElemErrEstData<domain_type>::side_type*>(elem);
  if (!side)
  {
    UG_THROW("Error in DependentNeumannBoundaryFV1::compute_err_est_A_elem():\n"
         "Element that error assembling routine is called for has the wrong type.");
  }
 
  // global IPs
  ReferenceObjectID roid = side->reference_object_id();
  size_t numSideIPs = err_est_data->get(0)->num_side_ips(roid);
  MathVector<dim>* globIPs = err_est_data->get(0)->side_global_ips(side, vCornerCoords);
 
  // loop IPs
  try
  {
    for (size_t sip = 0; sip < numSideIPs; sip++)
    {
      // get values of u at ip (interpolate)
      size_t nFct = u.num_fct();
      std::vector<LocalVector::value_type> uAtIP = std::vector<LocalVector::value_type>(nFct);
 
      for (size_t fct = 0; fct < nFct; fct++)
      {
        uAtIP[fct] = 0.0;
        for (size_t sh = 0; sh < m_shapeValues.num_sh(); sh++)
          uAtIP[fct] += u(fct,sh) * m_shapeValues.shapeAtSideIP(sh,sip);
      }
 
      // ip coordinates
      const MathVector<dim>& ipCoords = globIPs[sip];
 
      FluxCond fc;
      if (!static_cast<TImpl*>(this)->fluxDensityFct(uAtIP, elem, ipCoords, m_si, fc))
      {
        UG_THROW("FV1InnerBoundaryElemDisc::compute_err_est_A_elem:"
              " Call to fluxDensityFct did not succeed.");
      }
 
      // scale fluxes if applicable
      if (m_fluxScale.data_given())
        for (size_t j = 0; j < fc.flux.size(); ++j)
          fc.flux[j] *= m_fluxScale[sip];
 
 
      // subtract from estimator values
      // sign must be opposite of that in add_def_A_elem
      // as the difference between this and the actual flux of the unknown is calculated
      for (size_t j=0; j<fc.flux.size(); j++)
      {
        if (fc.from[j] != InnerBoundaryConstants::_IGNORE_)
          (*err_est_data->get(this->m_fctGrp[fc.from[j]])) (side,sip) -= scale * fc.flux[j];
        if (fc.to[j] != InnerBoundaryConstants::_IGNORE_)
          (*err_est_data->get(this->m_fctGrp[fc.to[j]])) (side,sip) += scale * fc.flux[j];
      }
    }
  }
  UG_CATCH_THROW("Values for the error estimator could not be assembled at every IP." << std::endl
      << "Maybe wrong type of ErrEstData object? This implementation needs: MultipleSideAndElemErrEstData.");
}
 
//  postprocesses the loop over all elements of one type in the computation of the error estimator
template <typename TImpl, typename TDomain>
template <typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
fsh_err_est_elem_loop()
{
  // nothing to do
}
 
//   error estimation (end)                                      //
// ////////////////////////////////////////////////////////////////////////////////////////////////
 
 
//  register assemble functions
 
// register for 1D
template <typename TImpl, typename TDomain>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
register_all_fv1_funcs()
{
//  register prep_timestep function for all known algebra types
  RegisterPrepTimestep<bridge::CompileAlgebraList>(this);
 
//  register assembling functions for all element types
  typedef typename domain_traits<dim>::ManifoldElemList ElemList;
  boost::mpl::for_each<ElemList>(RegisterAssemblingFuncs(this));
}
 
template <typename TImpl, typename TDomain>
template<typename TElem, typename TFVGeom>
void FV1InnerBoundaryElemDisc<TImpl, TDomain>::
register_fv1_func()
{
  ReferenceObjectID id = geometry_traits<TElem>::REFERENCE_OBJECT_ID;
  typedef this_type T;
 
  this->clear_add_fct(id);
  this->set_prep_elem_loop_fct( id, &T::template prep_elem_loop<TElem, TFVGeom>);
  this->set_prep_elem_fct(    id, &T::template prep_elem<TElem, TFVGeom>);
  this->set_fsh_elem_loop_fct(  id, &T::template fsh_elem_loop<TElem, TFVGeom>);
  this->set_add_jac_A_elem_fct( id, &T::template add_jac_A_elem<TElem, TFVGeom>);
  this->set_add_jac_M_elem_fct( id, &T::template add_jac_M_elem<TElem, TFVGeom>);
  this->set_add_def_A_elem_fct( id, &T::template add_def_A_elem<TElem, TFVGeom>);
  this->set_add_def_M_elem_fct( id, &T::template add_def_M_elem<TElem, TFVGeom>);
  this->set_add_rhs_elem_fct(   id, &T::template add_rhs_elem<TElem, TFVGeom>);
 
  // error estimator parts
  this->set_prep_err_est_elem_loop( id, &T::template prep_err_est_elem_loop<TElem, TFVGeom>);
  this->set_prep_err_est_elem(    id, &T::template prep_err_est_elem<TElem, TFVGeom>);
  this->set_compute_err_est_A_elem( id, &T::template compute_err_est_A_elem<TElem, TFVGeom>);
  this->set_fsh_err_est_elem_loop(  id, &T::template fsh_err_est_elem_loop<TElem, TFVGeom>);
}
 
} // namespace ug
 
 
#endif /*__H__UG__LIB_DISC__SPACIAL_DISCRETIZATION__ELEM_DISC__NEUMANN_BOUNDARY__FV1__INNER_BOUNDARY_IMPL__*/