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// $Id: relaxation_block.h 30036 2013-07-18 16:55:32Z maier $
//
// Copyright (C) 2010 - 2013 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 __deal2__relaxation_block_h
#define __deal2__relaxation_block_h
#include <deal.II/base/subscriptor.h>
#include <deal.II/base/smartpointer.h>
#include <deal.II/lac/vector.h>
#include <deal.II/lac/precondition_block_base.h>
#include <deal.II/lac/block_list.h>
#include <vector>
#include <set>
DEAL_II_NAMESPACE_OPEN
/**
* @warning The part of the interface based on BlockList may change in
* a future release.
*
* Base class for the implementation of overlapping, multiplicative
* Schwarz relaxation methods and smoothers.
*
* This class uses the infrastructure provided by
* PreconditionBlockBase. It adds functions to initialize with a block
* list and to do the relaxation step. The actual relaxation method
* with the interface expected by SolverRelaxation and
* MGSmootherRelaxation is in the derived classes.
*
* This class allows for more general relaxation methods than
* PreconditionBlock, since the index sets may be arbitrary and
* overlapping, while there only contiguous, disjoint sets of equal
* size are allowed. As a drawback, this class cannot be used as a
* preconditioner, since its implementation relies on a straight
* forward implementation of the Gauss-Seidel process.
*
* @ingroup Preconditioners
* @author Guido Kanschat
* @date 2010
*/
template <class MATRIX, typename inverse_type=typename MATRIX::value_type>
class RelaxationBlock :
protected PreconditionBlockBase<inverse_type>
{
private:
/**
* Define number type of matrix.
*/
typedef typename MATRIX::value_type number;
/**
* Value type for inverse matrices.
*/
typedef inverse_type value_type;
public:
/**
* Declare type for container size.
*/
typedef types::global_dof_index size_type;
/**
* Parameters for block relaxation methods.
*/
class AdditionalData : public Subscriptor
{
public:
/**
* Constructor.
*/
AdditionalData (const double relaxation = 1.,
const bool invert_diagonal = true,
const bool same_diagonal = false);
/**
* @deprecated Since the BlockList is now a data member of this
* class, it is not recommended anymore to generate it
* independently.
*
* Constructor.
*/
AdditionalData (const BlockList &block_list,
const double relaxation = 1.,
const bool invert_diagonal = true,
const bool same_diagonal = false) DEAL_II_DEPRECATED;
/**
* The mapping from indices to blocks.
*/
SparsityPattern block_list;
/**
* Relaxation parameter.
*/
double relaxation;
/**
* Invert diagonal during initialization.
*/
bool invert_diagonal;
/**
* Assume all diagonal blocks are equal to save memory.
*/
bool same_diagonal;
/**
* Choose the inversion method for the blocks.
*/
typename PreconditionBlockBase<inverse_type>::Inversion inversion;
/**
* The if #inversion is SVD, the threshold below which a singular
* value will be considered zero and thus not inverted. This
* parameter is used in the call to
* LAPACKFullMatrix::compute_inverse_svd().
*/
double threshold;
/**
* The order in which blocks should be traversed. This vector can
* initiate several modes of execution:
*
* <ol>
*
* <li>If the length of the vector is zero, then the relaxation
* method will be executed from first to last block.</li>
*
* <li> If the length is one, then the inner vector must have the
* same size as the number of blocks. The relaxation method is
* applied in the order given in this vector.</li>
*
* <li> If the outer vector has length greater one, then the
* relaxation method is applied several times, each time in the
* order given by the inner vector of the corresponding
* index. This mode can for instance be used for ADI methods and
* similar direction sweeps.</li>
*
* </ol>
*/
std::vector<std::vector<unsigned int> > order;
/**
* Return the memory allocated in this object.
*/
std::size_t memory_consumption() const;
};
/**
* Initialize matrix and block size. We store the matrix and the
* block size in the preconditioner object. In a second step, the
* inverses of the diagonal blocks may be computed.
*
* Additionally, a relaxation parameter for derived classes may be
* provided.
*/
void initialize (const MATRIX &A,
const AdditionalData ¶meters);
/**
* Deletes the inverse diagonal block matrices if existent, sets the
* blocksize to 0, hence leaves the class in the state that it had
* directly after calling the constructor.
*/
void clear();
/**
* Checks whether the object is empty.
*/
bool empty () const;
/**
* Read-only access to entries. This function is only possible if
* the inverse diagonal blocks are stored.
*/
value_type el(size_type i,
size_type j) const;
/**
* Stores the inverse of the diagonal blocks in @p inverse. This
* costs some additional memory - for DG methods about 1/3 (for
* double inverses) or 1/6 (for float inverses) of that used for the
* matrix - but it makes the preconditioning much faster.
*
* It is not allowed to call this function twice (will produce an
* error) before a call of <tt>clear(...)</tt> because at the second
* time there already exist the inverse matrices.
*
* After this function is called, the lock on the matrix given
* through the @p use_matrix function is released, i.e. you may
* overwrite of delete it. You may want to do this in case you use
* this matrix to precondition another matrix.
*/
void invert_diagblocks();
protected:
/**
* Perform one block relaxation step.
*
* Depending on the arguments @p dst and @p pref, this performs an
* SOR step (both reference the same vector) of a Jacobi step (both
* are different vectors). For the Jacobi step, the calling function
* must copy @p dst to @p pref after this.
*/
template <typename number2>
void do_step (
Vector<number2> &dst,
const Vector<number2> &prev,
const Vector<number2> &src,
const bool backward) const;
/**
* Pointer to the matrix. Make sure that the matrix exists as long
* as this class needs it, i.e. until calling @p invert_diagblocks,
* or (if the inverse matrices should not be stored) until the last
* call of the preconditoining @p vmult function of the derived
* classes.
*/
SmartPointer<const MATRIX,RelaxationBlock<MATRIX,inverse_type> > A;
/**
* Control information.
*/
SmartPointer<const AdditionalData, RelaxationBlock<MATRIX,inverse_type> > additional_data;
};
/**
* Block Jacobi (additive Schwarz) method with possibly overlapping
* blocks.
*
* This class implements the step() and Tstep() functions expected by
* SolverRelaxation and MGSmootherRelaxation. They perform an additive
* Schwarz method on the blocks provided in the BlockList of
* AdditionalData. Differing from PreconditionBlockJacobi, these
* blocks may be of varying size, non-contiguous, and overlapping. On
* the other hand, this class does not implement the preconditioner
* interface expected by Solver objects.
*
* @ingroup Preconditioners
* @author Guido Kanschat
* @date 2010
*/
template<class MATRIX, typename inverse_type = typename MATRIX::value_type>
class RelaxationBlockJacobi : public virtual Subscriptor,
protected RelaxationBlock<MATRIX, inverse_type>
{
public:
/**
* Default constructor.
*/
// RelaxationBlockJacobi();
/**
* Define number type of matrix.
*/
typedef typename MATRIX::value_type number;
/**
* Make type publicly available.
*/
using typename RelaxationBlock<MATRIX,inverse_type>::AdditionalData;
/**
* Make initialization function
* publicly available.
*/
using RelaxationBlock<MATRIX, inverse_type>::initialize;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::clear;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::empty;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::size;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_householder;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_svd;
using PreconditionBlockBase<inverse_type>::log_statistics;
/**
* Perform one step of the Jacobi iteration.
*/
template <typename number2>
void step (Vector<number2> &dst, const Vector<number2> &rhs) const;
/**
* Perform one step of the Jacobi iteration.
*/
template <typename number2>
void Tstep (Vector<number2> &dst, const Vector<number2> &rhs) const;
/**
* Return the memory allocated in this object.
*/
std::size_t memory_consumption() const;
};
/**
* Block Gauss-Seidel method with possibly overlapping blocks.
*
* This class implements the step() and Tstep() functions expected by
* SolverRelaxation and MGSmootherRelaxation. They perform a
* multiplicative Schwarz method on the blocks provided in the
* BlockList of AdditionalData. Differing from PreconditionBlockSOR,
* these blocks may be of varying size, non-contiguous, and
* overlapping. On the other hand, this class does not implement the
* preconditioner interface expected by Solver objects.
*
* @ingroup Preconditioners
* @author Guido Kanschat
* @date 2010
*/
template<class MATRIX, typename inverse_type = typename MATRIX::value_type>
class RelaxationBlockSOR : public virtual Subscriptor,
protected RelaxationBlock<MATRIX, inverse_type>
{
public:
/**
* Default constructor.
*/
// RelaxationBlockSOR();
/**
* Define number type of matrix.
*/
typedef typename MATRIX::value_type number;
/**
* Make type publicly available.
*/
using typename RelaxationBlock<MATRIX,inverse_type>::AdditionalData;
/**
* Make initialization function
* publicly available.
*/
using RelaxationBlock<MATRIX, inverse_type>::initialize;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::clear;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::empty;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::size;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_householder;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_svd;
using PreconditionBlockBase<inverse_type>::log_statistics;
/**
* Perform one step of the SOR iteration.
*/
template <typename number2>
void step (Vector<number2> &dst, const Vector<number2> &rhs) const;
/**
* Perform one step of the transposed SOR iteration.
*/
template <typename number2>
void Tstep (Vector<number2> &dst, const Vector<number2> &rhs) const;
};
/**
* Symmetric block Gauss-Seidel method with possibly overlapping blocks.
*
* This class implements the step() and Tstep() functions expected by
* SolverRelaxation and MGSmootherRelaxation. They perform a
* multiplicative Schwarz method on the blocks provided in the
* BlockList of AdditionalData in symmetric fashion. Differing from
* PreconditionBlockSSOR, these blocks may be of varying size,
* non-contiguous, and overlapping. On the other hand, this class does
* not implement the preconditioner interface expected by Solver
* objects.
*
* @ingroup Preconditioners
* @author Guido Kanschat
* @date 2010
*/
template<class MATRIX, typename inverse_type = typename MATRIX::value_type>
class RelaxationBlockSSOR : public virtual Subscriptor,
protected RelaxationBlock<MATRIX, inverse_type>
{
public:
/**
* Define number type of matrix.
*/
typedef typename MATRIX::value_type number;
/**
* Make type publicly available.
*/
using typename RelaxationBlock<MATRIX,inverse_type>::AdditionalData;
/**
* Make initialization function publicly available.
*/
using RelaxationBlock<MATRIX, inverse_type>::initialize;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::clear;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::empty;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::size;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_householder;
/**
* Make function of base class public again.
*/
using RelaxationBlock<MATRIX, inverse_type>::inverse_svd;
using PreconditionBlockBase<inverse_type>::log_statistics;
/**
* Perform one step of the SOR iteration.
*/
template <typename number2>
void step (Vector<number2> &dst, const Vector<number2> &rhs) const;
/**
* Perform one step of the transposed SOR iteration.
*/
template <typename number2>
void Tstep (Vector<number2> &dst, const Vector<number2> &rhs) const;
};
DEAL_II_NAMESPACE_CLOSE
#endif
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