mg_block_smoother.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2005 - 2017 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------

#ifndef dealii_mg_block_smoother_h
#define dealii_mg_block_smoother_h


#include <deal.II/base/config.h>
#include <deal.II/base/mg_level_object.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/lac/block_vector.h>
#include <deal.II/lac/linear_operator.h>
#include <deal.II/lac/vector_memory.h>
#include <deal.II/multigrid/mg_smoother.h>
#include <vector>

DEAL_II_NAMESPACE_OPEN

/*
 * MGSmootherBase is defined in mg_base.h
 */


template <typename MatrixType, class RelaxationType, typename number>
class MGSmootherBlock
  : public MGSmoother<BlockVector<number> >
{
public:
  DEAL_II_DEPRECATED
  MGSmootherBlock (VectorMemory<BlockVector<number> > &mem,
                   const unsigned int                   steps     = 1,
                   const bool                           variable  = false,
                   const bool                           symmetric = false,
                   const bool                           transpose = false,
                   const bool                           reverse   = false);

  MGSmootherBlock (const unsigned int                   steps     = 1,
                   const bool                           variable  = false,
                   const bool                           symmetric = false,
                   const bool                           transpose = false,
                   const bool                           reverse   = false);

  template <class MGMatrixType, class MGRelaxationType>
  void initialize (const MGMatrixType     &matrices,
                   const MGRelaxationType &smoothers);

  void clear ();

  void set_reverse (const bool);

  virtual void smooth (const unsigned int         level,
                       BlockVector<number>       &u,
                       const BlockVector<number> &rhs) const;

  std::size_t memory_consumption () const;
private:
  MGLevelObject<LinearOperator<BlockVector<number> > > matrices;

  MGLevelObject<LinearOperator<BlockVector<number> > > smoothers;

  bool reverse;

  SmartPointer<VectorMemory<BlockVector<number> >, MGSmootherBlock<MatrixType, RelaxationType, number > > mem;
};

//---------------------------------------------------------------------------

#ifndef DOXYGEN

template <typename MatrixType, class RelaxationType, typename number>
inline
MGSmootherBlock<MatrixType, RelaxationType, number>::MGSmootherBlock
(VectorMemory<BlockVector<number> > &mem,
 const unsigned int                  steps,
 const bool                          variable,
 const bool                          symmetric,
 const bool                          transpose,
 const bool                          reverse)
  : MGSmoother<BlockVector<number> >(steps, variable, symmetric, transpose),
    reverse(reverse),
    mem(&mem)
{}

template <typename MatrixType, class RelaxationType, typename number>
inline
MGSmootherBlock<MatrixType, RelaxationType, number>::MGSmootherBlock
(const unsigned int                  steps,
 const bool                          variable,
 const bool                          symmetric,
 const bool                          transpose,
 const bool                          reverse)
  : MGSmoother<BlockVector<number> >(steps, variable, symmetric, transpose),
    reverse(reverse),
    mem(&this->vector_memory)
{}


template <typename MatrixType, class RelaxationType, typename number>
inline void
MGSmootherBlock<MatrixType, RelaxationType, number>::clear ()
{
  unsigned int i=matrices.min_level(),
               max_level=matrices.max_level();
  for (; i<=max_level; ++i)
    {
      smoothers[i] = LinearOperator<BlockVector<number> >();
      matrices[i] = LinearOperator<BlockVector<number> >();
    }
}


template <typename MatrixType, class RelaxationType, typename number>
template <class MGMatrixType, class MGRelaxationType>
inline void
MGSmootherBlock<MatrixType, RelaxationType, number>::initialize (const MGMatrixType &m,
    const MGRelaxationType &s)
{
  const unsigned int min = m.min_level();
  const unsigned int max = m.max_level();

  matrices.resize(min, max);
  smoothers.resize(min, max);

  for (unsigned int i=min; i<=max; ++i)
    {
      // Workaround: Unfortunately, not every "m[i]" object has a
      // rich enough interface to populate reinit_(domain|range)_vector.
      // Thus, apply an empty LinearOperator exemplar.
      matrices[i] = linear_operator<BlockVector<number> >(
                      LinearOperator<BlockVector<number> >(), m[i]);
      smoothers[i] = linear_operator<BlockVector<number> >(matrices[i], s[i]);
    }
}


template <typename MatrixType, class RelaxationType, typename number>
inline void
MGSmootherBlock<MatrixType, RelaxationType, number>::
set_reverse (const bool flag)
{
  reverse = flag;
}


template <typename MatrixType, class RelaxationType, typename number>
inline std::size_t
MGSmootherBlock<MatrixType, RelaxationType, number>::
memory_consumption () const
{
  return sizeof(*this)
         + matrices.memory_consumption()
         + smoothers.memory_consumption()
         + this->vector_memory.memory_consumption();
}


template <typename MatrixType, class RelaxationType, typename number>
inline void
MGSmootherBlock<MatrixType, RelaxationType, number>::smooth(const unsigned int         level,
                                                            BlockVector<number>       &u,
                                                            const BlockVector<number> &rhs) const
{
  LogStream::Prefix prefix("Smooth");

  unsigned int maxlevel = matrices.max_level();
  unsigned int steps2 = this->steps;

  if (this->variable)
    steps2 *= (1<<(maxlevel-level));

  typename VectorMemory<BlockVector<number> >::Pointer r(*this->mem);
  typename VectorMemory<BlockVector<number> >::Pointer d(*this->mem);
  r->reinit(u);
  d->reinit(u);

  bool T = this->transpose;
  if (this->symmetric && (steps2 % 2 == 0))
    T = false;

  for (unsigned int i=0; i<steps2; ++i)
    {
      if (T)
        {
          matrices[level].vmult(*r,u);
          r->sadd(-1.,1.,rhs);
          smoothers[level].Tvmult(*d, *r);
        }
      else
        {
          matrices[level].vmult(*r,u);
          r->sadd(-1.,1.,rhs);
          smoothers[level].vmult(*d, *r);
        }
      u += *d;
      if (this->symmetric)
        T = !T;
    }
}

#endif // DOXYGEN

DEAL_II_NAMESPACE_CLOSE

#endif