allen_cahn/matrix.h

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/**********************************************************************
 *  Copyright (C) 2011 - 2014 by the authors
 *  Distributed under the MIT License
 *
 * See the files AUTHORS and LICENSE in the project root directory
 **********************************************************************/
#ifndef __matrix_allen_cahn_h
#define __matrix_allen_cahn_h

#include <amandus/integrator.h>
#include <deal.II/integrators/divergence.h>
#include <deal.II/integrators/l2.h>
#include <deal.II/integrators/laplace.h>
#include <deal.II/meshworker/integration_info.h>

namespace AllenCahn
{
using namespace dealii;
using namespace LocalIntegrators;

template <int dim>
class Matrix : public AmandusIntegrator<dim>
{
public:
  Matrix(double diffusion);

  virtual void cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const;
  virtual void boundary(MeshWorker::DoFInfo<dim>& dinfo,
                        MeshWorker::IntegrationInfo<dim>& info) const;
  virtual void face(MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
                    MeshWorker::IntegrationInfo<dim>& info1,
                    MeshWorker::IntegrationInfo<dim>& info2) const;

private:
  double D;
};

template <int dim>
Matrix<dim>::Matrix(double diffusion)
  : D(diffusion)
{
  this->use_boundary = false;
}

template <int dim>
void
Matrix<dim>::cell(MeshWorker::DoFInfo<dim>& dinfo, MeshWorker::IntegrationInfo<dim>& info) const
{
  AssertDimension(dinfo.n_matrices(), 1);
  //  Assert (info.values.size() >0, ExcInternalError());
  Laplace::cell_matrix(dinfo.matrix(0, false).matrix, info.fe_values(0), D);
  if (info.values.size() > 0)
  {
    AssertDimension(info.values[0][0].size(), info.fe_values(0).n_quadrature_points);
    std::vector<double> fu(info.fe_values(0).n_quadrature_points);
    for (unsigned int k = 0; k < fu.size(); ++k)
    {
      const double u = info.values[0][0][k];
      fu[k] = (3. * u * u - 1.);
    }
    L2::weighted_mass_matrix(dinfo.matrix(0, false).matrix, info.fe_values(0), fu);
  }
}

template <int dim>
void
Matrix<dim>::boundary(MeshWorker::DoFInfo<dim>&, typename MeshWorker::IntegrationInfo<dim>&) const
{
}

template <int dim>
void
Matrix<dim>::face(MeshWorker::DoFInfo<dim>& dinfo1, MeshWorker::DoFInfo<dim>& dinfo2,
                  MeshWorker::IntegrationInfo<dim>& info1,
                  MeshWorker::IntegrationInfo<dim>& info2) const
{
  const unsigned int deg = info1.fe_values(0).get_fe().tensor_degree();
  Laplace::ip_matrix(dinfo1.matrix(0, false).matrix,
                     dinfo1.matrix(0, true).matrix,
                     dinfo2.matrix(0, true).matrix,
                     dinfo2.matrix(0, false).matrix,
                     info1.fe_values(0),
                     info2.fe_values(0),
                     Laplace::compute_penalty(dinfo1, dinfo2, deg, deg),
                     D);
}
}

#endif