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//
// Copyright (C) 1999 - 2016 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_smoother_h
#define dealii__mg_smoother_h
#include <deal.II/base/config.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/lac/pointer_matrix.h>
#include <deal.II/lac/vector_memory.h>
#include <deal.II/multigrid/mg_base.h>
#include <deal.II/base/mg_level_object.h>
#include <vector>
DEAL_II_NAMESPACE_OPEN
/*
* MGSmootherBase is defined in mg_base.h
*/
/*!@addtogroup mg */
/*@{*/
/**
* A base class for smoother handling information on smoothing. While not
* adding to the abstract interface in MGSmootherBase, this class stores
* information on the number and type of smoothing steps, which in turn can be
* used by a derived class.
*
* @author Guido Kanschat 2009
*/
template <typename VectorType>
class MGSmoother : public MGSmootherBase<VectorType>
{
public:
/**
* Constructor.
*/
MGSmoother(const unsigned int steps = 1,
const bool variable = false,
const bool symmetric = false,
const bool transpose = false);
/**
* Modify the number of smoothing steps on finest level.
*/
void set_steps (const unsigned int);
/**
* Switch on/off variable smoothing.
*/
void set_variable (const bool);
/**
* Switch on/off symmetric smoothing.
*/
void set_symmetric (const bool);
/**
* Switch on/off transposed smoothing. The effect is overridden by
* set_symmetric().
*/
void set_transpose (const bool);
/**
* Set @p debug to a nonzero value to get debug information logged to @p
* deallog. Increase to get more information
*/
void set_debug (const unsigned int level);
protected:
/**
* A memory object to be used for temporary vectors.
*
* The object is marked as mutable since we will need to use it to allocate
* temporary vectors also in functions that are const.
*/
mutable GrowingVectorMemory<VectorType> vector_memory;
/**
* Number of smoothing steps on the finest level. If no #variable smoothing
* is chosen, this is the number of steps on all levels.
*/
unsigned int steps;
/**
* Variable smoothing: double the number of smoothing steps whenever going
* to the next coarser level
*/
bool variable;
/**
* Symmetric smoothing: in the smoothing iteration, alternate between the
* relaxation method and its transpose.
*/
bool symmetric;
/**
* Use the transpose of the relaxation method instead of the method itself.
* This has no effect if #symmetric smoothing is chosen.
*/
bool transpose;
/**
* Output debugging information to @p deallog if this is nonzero.
*/
unsigned int debug;
};
/**
* Smoother doing nothing. This class is not useful for many applications
* other than for testing some multigrid procedures. Also some applications
* might get convergence without smoothing and then this class brings you the
* cheapest possible multigrid.
*
* @author Guido Kanschat, 1999, 2002
*/
template <typename VectorType>
class MGSmootherIdentity : public MGSmootherBase<VectorType>
{
public:
/**
* Implementation of the interface for @p Multigrid. This function does
* nothing, which by comparison with the definition of this function means
* that the the smoothing operator equals the null operator.
*/
virtual void smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const;
virtual void clear ();
};
namespace mg
{
/**
* Smoother using relaxation classes.
*
* A relaxation class is an object that satisfies the
* @ref ConceptRelaxationType "relaxation concept".
*
* This class performs smoothing on each level. The operation can be
* controlled by several parameters. First, the relaxation parameter @p
* omega is used in the underlying relaxation method. @p steps is the number
* of relaxation steps on the finest level (on all levels if @p variable is
* off). If @p variable is @p true, the number of smoothing steps is doubled
* on each coarser level. This results in a method having the complexity of
* the W-cycle, but saving grid transfers. This is the method proposed by
* Bramble at al.
*
* The option @p symmetric switches on alternating between the smoother and
* its transpose in each step as proposed by Bramble.
*
* @p transpose uses the transposed smoothing operation using <tt>Tstep</tt>
* instead of the regular <tt>step</tt> of the relaxation scheme.
*
* If you are using block matrices, the second @p initialize function offers
* the possibility to extract a single block for smoothing. In this case,
* the multigrid method must be used only with the vector associated to that
* single block.
*
* @author Guido Kanschat,
* @date 2003, 2009, 2010
*/
template<class RelaxationType, typename VectorType>
class SmootherRelaxation : public MGLevelObject<RelaxationType>, public MGSmoother<VectorType>
{
public:
/**
* Constructor. Sets smoothing parameters.
*/
SmootherRelaxation(const unsigned int steps = 1,
const bool variable = false,
const bool symmetric = false,
const bool transpose = false);
/**
* Initialize for matrices. This function initializes the smoothing
* operator with the same smoother for each level.
*
* @p additional_data is an object of type @p
* RelaxationType::AdditionalData and is handed to the initialization
* function of the relaxation method.
*/
template <typename MatrixType2>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const typename RelaxationType::AdditionalData &additional_data
= typename RelaxationType::AdditionalData());
/**
* Initialize matrices and additional data for each level.
*
* If minimal or maximal level of the two objects differ, the greatest
* common range is utilized. This way, smoothing can be restricted to
* certain levels even if the matrix was generated for all levels.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const MGLevelObject<DATA> &additional_data);
/**
* Empty all vectors.
*/
void clear ();
/**
* The actual smoothing method.
*/
virtual void smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const;
/**
* Memory used by this object.
*/
std::size_t memory_consumption () const;
};
}
/**
* Smoother using a solver that satisfies the
* @ref ConceptRelaxationType "relaxation concept".
*
* This class performs smoothing on each level. The operation can be
* controlled by several parameters. First, the relaxation parameter @p omega
* is used in the underlying relaxation method. @p steps is the number of
* relaxation steps on the finest level (on all levels if @p variable is off).
* If @p variable is @p true, the number of smoothing steps is doubled on each
* coarser level. This results in a method having the complexity of the
* W-cycle, but saving grid transfers. This is the method proposed by Bramble
* at al.
*
* The option @p symmetric switches on alternating between the smoother and
* its transpose in each step as proposed by Bramble.
*
* @p transpose uses the transposed smoothing operation using <tt>Tstep</tt>
* instead of the regular <tt>step</tt> of the relaxation scheme.
*
* If you are using block matrices, the second @p initialize function offers
* the possibility to extract a single block for smoothing. In this case, the
* multigrid method must be used only with the vector associated to that
* single block.
*
* The library contains instantiation for <tt>SparseMatrix<.></tt> and
* <tt>Vector<.></tt>, where the template arguments are all combinations of @p
* float and @p double. Additional instantiations may be created by including
* the file mg_smoother.templates.h.
*
* @author Guido Kanschat, 2003
*/
template<typename MatrixType, class RelaxationType, typename VectorType>
class MGSmootherRelaxation : public MGSmoother<VectorType>
{
public:
/**
* Constructor. Sets smoothing parameters.
*/
MGSmootherRelaxation(const unsigned int steps = 1,
const bool variable = false,
const bool symmetric = false,
const bool transpose = false);
/**
* Initialize for matrices. This function stores pointers to the level
* matrices and initializes the smoothing operator with the same smoother
* for each level.
*
* @p additional_data is an object of type @p RelaxationType::AdditionalData
* and is handed to the initialization function of the relaxation method.
*/
template <typename MatrixType2>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const typename RelaxationType::AdditionalData &additional_data
= typename RelaxationType::AdditionalData());
/**
* Initialize for matrices. This function stores pointers to the level
* matrices and initializes the smoothing operator with the according
* smoother for each level.
*
* @p additional_data is an object of type @p RelaxationType::AdditionalData
* and is handed to the initialization function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const MGLevelObject<DATA> &additional_data);
/**
* Initialize for single blocks of matrices. Of this block matrix, the block
* indicated by @p block_row and @p block_col is selected on each level.
* This function stores pointers to the level matrices and initializes the
* smoothing operator with the same smoother for each level.
*
* @p additional_data is an object of type @p RelaxationType::AdditionalData
* and is handed to the initialization function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const DATA &additional_data,
const unsigned int block_row,
const unsigned int block_col);
/**
* Initialize for single blocks of matrices. Of this block matrix, the block
* indicated by @p block_row and @p block_col is selected on each level.
* This function stores pointers to the level matrices and initializes the
* smoothing operator with the according smoother for each level.
*
* @p additional_data is an object of type @p RelaxationType::AdditionalData
* and is handed to the initialization function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const MGLevelObject<DATA> &additional_data,
const unsigned int block_row,
const unsigned int block_col);
/**
* Empty all vectors.
*/
void clear ();
/**
* The actual smoothing method.
*/
virtual void smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const;
/**
* Object containing relaxation methods.
*/
MGLevelObject<RelaxationType> smoothers;
/**
* Memory used by this object.
*/
std::size_t memory_consumption () const;
private:
/**
* Pointer to the matrices.
*/
MGLevelObject<PointerMatrix<MatrixType, VectorType> > matrices;
};
/**
* Smoother using preconditioner classes.
*
* This class performs smoothing on each level. The operation can be
* controlled by several parameters. First, the relaxation parameter @p omega
* is used in the underlying relaxation method. @p steps is the number of
* relaxation steps on the finest level (on all levels if @p variable is off).
* If @p variable is @p true, the number of smoothing steps is doubled on each
* coarser level. This results in a method having the complexity of the
* W-cycle, but saving grid transfers. This is the method proposed by Bramble
* at al.
*
* The option @p symmetric switches on alternating between the smoother and
* its transpose in each step as proposed by Bramble.
*
* @p transpose uses the transposed smoothing operation using <tt>Tvmult</tt>
* instead of the regular <tt>vmult</tt> of the relaxation scheme.
*
* If you are using block matrices, the second @p initialize function offers
* the possibility to extract a single block for smoothing. In this case, the
* multigrid method must be used only with the vector associated to that
* single block.
*
* The library contains instantiation for <tt>SparseMatrix<.></tt> and
* <tt>Vector<.></tt>, where the template arguments are all combinations of @p
* float and @p double. Additional instantiations may be created by including
* the file mg_smoother.templates.h.
*
* @author Guido Kanschat, 2009
*/
template<typename MatrixType, typename PreconditionerType, typename VectorType>
class MGSmootherPrecondition : public MGSmoother<VectorType>
{
public:
/**
* Constructor. Sets smoothing parameters.
*/
MGSmootherPrecondition(const unsigned int steps = 1,
const bool variable = false,
const bool symmetric = false,
const bool transpose = false);
/**
* Initialize for matrices. This function stores pointers to the level
* matrices and initializes the smoothing operator with the same smoother
* for each level.
*
* @p additional_data is an object of type @p
* PreconditionerType::AdditionalData and is handed to the initialization
* function of the relaxation method.
*/
template <typename MatrixType2>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const typename PreconditionerType::AdditionalData &additional_data = typename PreconditionerType::AdditionalData());
/**
* Initialize for matrices. This function stores pointers to the level
* matrices and initializes the smoothing operator with the according
* smoother for each level.
*
* @p additional_data is an object of type @p
* PreconditionerType::AdditionalData and is handed to the initialization
* function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const MGLevelObject<DATA> &additional_data);
/**
* Initialize for single blocks of matrices. Of this block matrix, the block
* indicated by @p block_row and @p block_col is selected on each level.
* This function stores pointers to the level matrices and initializes the
* smoothing operator with the same smoother for each level.
*
* @p additional_data is an object of type @p
* PreconditionerType::AdditionalData and is handed to the initialization
* function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const DATA &additional_data,
const unsigned int block_row,
const unsigned int block_col);
/**
* Initialize for single blocks of matrices. Of this block matrix, the block
* indicated by @p block_row and @p block_col is selected on each level.
* This function stores pointers to the level matrices and initializes the
* smoothing operator with the according smoother for each level.
*
* @p additional_data is an object of type @p
* PreconditionerType::AdditionalData and is handed to the initialization
* function of the relaxation method.
*/
template <typename MatrixType2, class DATA>
void initialize (const MGLevelObject<MatrixType2> &matrices,
const MGLevelObject<DATA> &additional_data,
const unsigned int block_row,
const unsigned int block_col);
/**
* Empty all vectors.
*/
void clear ();
/**
* The actual smoothing method.
*/
virtual void smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const;
/**
* Object containing relaxation methods.
*/
MGLevelObject<PreconditionerType> smoothers;
/**
* Memory used by this object.
*/
std::size_t memory_consumption () const;
private:
/**
* Pointer to the matrices.
*/
MGLevelObject<PointerMatrix<MatrixType, VectorType> > matrices;
};
/*@}*/
/* ------------------------------- Inline functions -------------------------- */
#ifndef DOXYGEN
template <typename VectorType>
inline void
MGSmootherIdentity<VectorType>::smooth (const unsigned int,
VectorType &,
const VectorType &) const
{}
template <typename VectorType>
inline void
MGSmootherIdentity<VectorType>::clear ()
{}
//---------------------------------------------------------------------------
template <typename VectorType>
inline
MGSmoother<VectorType>::MGSmoother (const unsigned int steps,
const bool variable,
const bool symmetric,
const bool transpose)
:
steps(steps),
variable(variable),
symmetric(symmetric),
transpose(transpose),
debug(0)
{}
template <typename VectorType>
inline void
MGSmoother<VectorType>::set_steps (const unsigned int s)
{
steps = s;
}
template <typename VectorType>
inline void
MGSmoother<VectorType>::set_debug (const unsigned int s)
{
debug = s;
}
template <typename VectorType>
inline void
MGSmoother<VectorType>::set_variable (const bool flag)
{
variable = flag;
}
template <typename VectorType>
inline void
MGSmoother<VectorType>::set_symmetric (const bool flag)
{
symmetric = flag;
}
template <typename VectorType>
inline void
MGSmoother<VectorType>::set_transpose (const bool flag)
{
transpose = flag;
}
//----------------------------------------------------------------------//
namespace mg
{
template <class RelaxationType, typename VectorType>
inline
SmootherRelaxation<RelaxationType, VectorType>::SmootherRelaxation
(const unsigned int steps,
const bool variable,
const bool symmetric,
const bool transpose)
: MGSmoother<VectorType>(steps, variable, symmetric, transpose)
{}
template <class RelaxationType, typename VectorType>
inline void
SmootherRelaxation<RelaxationType, VectorType>::clear ()
{
MGLevelObject<RelaxationType>::clear();
}
template <class RelaxationType, typename VectorType>
template <typename MatrixType2>
inline void
SmootherRelaxation<RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const typename RelaxationType::AdditionalData &data)
{
const unsigned int min = m.min_level();
const unsigned int max = m.max_level();
this->resize(min, max);
for (unsigned int i=min; i<=max; ++i)
(*this)[i].initialize(m[i], data);
}
template <class RelaxationType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
SmootherRelaxation<RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const MGLevelObject<DATA> &data)
{
const unsigned int min = std::max(m.min_level(), data.min_level());
const unsigned int max = std::min(m.max_level(), data.max_level());
this->resize(min, max);
for (unsigned int i=min; i<=max; ++i)
(*this)[i].initialize(m[i], data[i]);
}
template <class RelaxationType, typename VectorType>
inline void
SmootherRelaxation<RelaxationType, VectorType>::smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const
{
unsigned int maxlevel = this->max_level();
unsigned int steps2 = this->steps;
if (this->variable)
steps2 *= (1<<(maxlevel-level));
bool T = this->transpose;
if (this->symmetric && (steps2 % 2 == 0))
T = false;
if (this->debug > 0)
deallog << 'S' << level << ' ';
for (unsigned int i=0; i<steps2; ++i)
{
if (T)
(*this)[level].Tstep(u, rhs);
else
(*this)[level].step(u, rhs);
if (this->symmetric)
T = !T;
}
}
template <class RelaxationType, typename VectorType>
inline
std::size_t
SmootherRelaxation<RelaxationType, VectorType>::
memory_consumption () const
{
return sizeof(*this)
-sizeof(MGLevelObject<RelaxationType>)
+ MGLevelObject<RelaxationType>::memory_consumption()
+ this->vector_memory.memory_consumption();
}
}
//----------------------------------------------------------------------//
template <typename MatrixType, class RelaxationType, typename VectorType>
inline
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::MGSmootherRelaxation
(const unsigned int steps,
const bool variable,
const bool symmetric,
const bool transpose)
:
MGSmoother<VectorType>(steps, variable, symmetric, transpose)
{}
template <typename MatrixType, class RelaxationType, typename VectorType>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::clear ()
{
smoothers.clear();
unsigned int i=matrices.min_level(),
max_level=matrices.max_level();
for (; i<=max_level; ++i)
matrices[i]=0;
}
template <typename MatrixType, class RelaxationType, typename VectorType>
template <typename MatrixType2>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const typename RelaxationType::AdditionalData &data)
{
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)
{
matrices[i] = &m[i];
smoothers[i].initialize(m[i], data);
}
}
template <typename MatrixType, class RelaxationType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const MGLevelObject<DATA> &data)
{
const unsigned int min = m.min_level();
const unsigned int max = m.max_level();
Assert (data.min_level() == min,
ExcDimensionMismatch(data.min_level(), min));
Assert (data.max_level() == max,
ExcDimensionMismatch(data.max_level(), max));
matrices.resize(min, max);
smoothers.resize(min, max);
for (unsigned int i=min; i<=max; ++i)
{
matrices[i] = &m[i];
smoothers[i].initialize(m[i], data[i]);
}
}
template <typename MatrixType, class RelaxationType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const DATA &data,
const unsigned int row,
const unsigned int col)
{
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)
{
matrices[i] = &(m[i].block(row, col));
smoothers[i].initialize(m[i].block(row, col), data);
}
}
template <typename MatrixType, class RelaxationType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const MGLevelObject<DATA> &data,
const unsigned int row,
const unsigned int col)
{
const unsigned int min = m.min_level();
const unsigned int max = m.max_level();
Assert (data.min_level() == min,
ExcDimensionMismatch(data.min_level(), min));
Assert (data.max_level() == max,
ExcDimensionMismatch(data.max_level(), max));
matrices.resize(min, max);
smoothers.resize(min, max);
for (unsigned int i=min; i<=max; ++i)
{
matrices[i] = &(m[i].block(row, col));
smoothers[i].initialize(m[i].block(row, col), data[i]);
}
}
template <typename MatrixType, class RelaxationType, typename VectorType>
inline void
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::smooth (const unsigned int level,
VectorType &u,
const VectorType &rhs) const
{
unsigned int maxlevel = smoothers.max_level();
unsigned int steps2 = this->steps;
if (this->variable)
steps2 *= (1<<(maxlevel-level));
bool T = this->transpose;
if (this->symmetric && (steps2 % 2 == 0))
T = false;
if (this->debug > 0)
deallog << 'S' << level << ' ';
for (unsigned int i=0; i<steps2; ++i)
{
if (T)
smoothers[level].Tstep(u, rhs);
else
smoothers[level].step(u, rhs);
if (this->symmetric)
T = !T;
}
}
template <typename MatrixType, class RelaxationType, typename VectorType>
inline
std::size_t
MGSmootherRelaxation<MatrixType, RelaxationType, VectorType>::
memory_consumption () const
{
return sizeof(*this)
+ matrices.memory_consumption()
+ smoothers.memory_consumption()
+ this->vector_memory.memory_consumption();
}
//----------------------------------------------------------------------//
template <typename MatrixType, typename PreconditionerType, typename VectorType>
inline
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::MGSmootherPrecondition
(const unsigned int steps,
const bool variable,
const bool symmetric,
const bool transpose)
:
MGSmoother<VectorType>(steps, variable, symmetric, transpose)
{}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::clear ()
{
smoothers.clear();
unsigned int i=matrices.min_level(),
max_level=matrices.max_level();
for (; i<=max_level; ++i)
matrices[i]=0;
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
template <typename MatrixType2>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const typename PreconditionerType::AdditionalData &data)
{
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)
{
matrices[i] = &m[i];
smoothers[i].initialize(m[i], data);
}
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const MGLevelObject<DATA> &data)
{
const unsigned int min = m.min_level();
const unsigned int max = m.max_level();
Assert (data.min_level() == min,
ExcDimensionMismatch(data.min_level(), min));
Assert (data.max_level() == max,
ExcDimensionMismatch(data.max_level(), max));
matrices.resize(min, max);
smoothers.resize(min, max);
for (unsigned int i=min; i<=max; ++i)
{
matrices[i] = &m[i];
smoothers[i].initialize(m[i], data[i]);
}
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const DATA &data,
const unsigned int row,
const unsigned int col)
{
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)
{
matrices[i] = &(m[i].block(row, col));
smoothers[i].initialize(m[i].block(row, col), data);
}
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
template <typename MatrixType2, class DATA>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::initialize
(const MGLevelObject<MatrixType2> &m,
const MGLevelObject<DATA> &data,
const unsigned int row,
const unsigned int col)
{
const unsigned int min = m.min_level();
const unsigned int max = m.max_level();
Assert (data.min_level() == min,
ExcDimensionMismatch(data.min_level(), min));
Assert (data.max_level() == max,
ExcDimensionMismatch(data.max_level(), max));
matrices.resize(min, max);
smoothers.resize(min, max);
for (unsigned int i=min; i<=max; ++i)
{
matrices[i] = &(m[i].block(row, col));
smoothers[i].initialize(m[i].block(row, col), data[i]);
}
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
inline void
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::smooth
(const unsigned int level,
VectorType &u,
const VectorType &rhs) const
{
unsigned int maxlevel = matrices.max_level();
unsigned int steps2 = this->steps;
if (this->variable)
steps2 *= (1<<(maxlevel-level));
typename VectorMemory<VectorType>::Pointer r(this->vector_memory);
typename VectorMemory<VectorType>::Pointer d(this->vector_memory);
r->reinit(u,true);
d->reinit(u,true);
bool T = this->transpose;
if (this->symmetric && (steps2 % 2 == 0))
T = false;
if (this->debug > 0)
deallog << 'S' << level << ' ';
for (unsigned int i=0; i<steps2; ++i)
{
if (T)
{
if (this->debug > 0)
deallog << 'T';
if (i == 0 && u.all_zero())
*r = rhs;
else
{
matrices[level].Tvmult(*r,u);
r->sadd(-1.,1.,rhs);
}
if (this->debug > 2)
deallog << ' ' << r->l2_norm() << ' ';
smoothers[level].Tvmult(*d, *r);
if (this->debug > 1)
deallog << ' ' << d->l2_norm() << ' ';
}
else
{
if (this->debug > 0)
deallog << 'N';
if (i == 0 && u.all_zero())
*r = rhs;
else
{
matrices[level].vmult(*r,u);
r->sadd(-1.,rhs);
}
if (this->debug > 2)
deallog << ' ' << r->l2_norm() << ' ';
smoothers[level].vmult(*d, *r);
if (this->debug > 1)
deallog << ' ' << d->l2_norm() << ' ';
}
u += *d;
if (this->symmetric)
T = !T;
}
if (this->debug > 0)
deallog << std::endl;
}
template <typename MatrixType, typename PreconditionerType, typename VectorType>
inline
std::size_t
MGSmootherPrecondition<MatrixType, PreconditionerType, VectorType>::
memory_consumption () const
{
return sizeof(*this)
+ matrices.memory_consumption()
+ smoothers.memory_consumption()
+ this->vector_memory.memory_consumption();
}
#endif // DOXYGEN
DEAL_II_NAMESPACE_CLOSE
#endif
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