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// $Id: shifted_matrix.h 19894 2009-10-15 22:19:51Z kanschat $
// Version: $Name$
//
// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2009 by the deal.II authors
//
// This file is subject to QPL and may not be distributed
// without copyright and license information. Please refer
// to the file deal.II/doc/license.html for the text and
// further information on this license.
//
//---------------------------------------------------------------------------
#ifndef __deal2__shifted_matrix_h
#define __deal2__shifted_matrix_h
#include <base/config.h>
#include <base/smartpointer.h>
DEAL_II_NAMESPACE_OPEN
/*! @addtogroup Matrix2
*@{
*/
/**
* Matrix with shifted diagonal values.
*
* Given a matrix <tt>A</tt>, this class implements a matrix-vector
* product with <i>A+s I</i>, where <i>s</i> is a provided shift
* parameter.
*
* @author Guido Kanschat, 2000, 2001
*/
template<class MATRIX>
class ShiftedMatrix
{
public:
/**
* Constructor. Provide the base
* matrix and a shift parameter.
*/
ShiftedMatrix (const MATRIX& A, const double sigma);
/**
* Set the shift parameter.
*/
void shift (const double sigma);
/**
* Access to the shift parameter.
*/
double shift () const;
/**
* Matrix-vector-product.
*/
template <class VECTOR>
void vmult (VECTOR& dst, const VECTOR& src) const;
/**
* Residual.
*/
template <class VECTOR>
double residual (VECTOR& dst, const VECTOR& src, const VECTOR& rhs) const;
private:
/**
* Storage for base matrix.
*/
SmartPointer<const MATRIX,ShiftedMatrix<MATRIX> > A;
/**
* Auxiliary vector.
*/
// VECTOR aux;
/**
* Shift parameter.
*/
double sigma;
};
/**
* Matrix with shifted diagonal values with respect to a certain scalar product.
*
* Given a matrix <tt>A</tt>, this class implements a matrix-vector product
* with <i>A+s M</i>, where <i>s</i> is a provided shift parameter and
* <tt>M</tt> is the matrix representing the identity
*
* @author Guido Kanschat, 2001
*/
template<class MATRIX, class MASSMATRIX, class VECTOR>
class ShiftedMatrixGeneralized
{
public:
/**
* Constructor.
* Provide the base matrix and a shift parameter.
*/
ShiftedMatrixGeneralized (const MATRIX& A,
const MASSMATRIX& M,
const double sigma);
/**
* Set the shift parameter.
*/
void shift (const double sigma);
/**
* Access to the shift parameter.
*/
double shift () const;
/**
* Matrix-vector-product.
*/
void vmult (VECTOR& dst, const VECTOR& src) const;
/**
* Residual.
*/
double residual (VECTOR& dst, const VECTOR& src, const VECTOR& rhs) const;
private:
/**
* Storage for base matrix.
*/
SmartPointer<const MATRIX,ShiftedMatrixGeneralized<MATRIX,MASSMATRIX,VECTOR> > A;
/**
* Storage for mass matrix.
*/
SmartPointer<const MASSMATRIX,ShiftedMatrixGeneralized<MATRIX,MASSMATRIX,VECTOR> > M;
/**
* Auxiliary vector.
*/
VECTOR aux;
/**
* Shift parameter.
*/
double sigma;
};
/*@}*/
//---------------------------------------------------------------------------
template <class MATRIX>
inline
ShiftedMatrix<MATRIX>::ShiftedMatrix (const MATRIX& A, const double sigma)
:
A(&A), sigma(sigma)
{}
template <class MATRIX>
inline void
ShiftedMatrix<MATRIX>::shift (const double s)
{
sigma = s;
}
template <class MATRIX>
inline double
ShiftedMatrix<MATRIX>::shift () const
{
return sigma;
}
template <class MATRIX>
template <class VECTOR>
inline void
ShiftedMatrix<MATRIX>::vmult (VECTOR& dst, const VECTOR& src) const
{
A->vmult(dst, src);
if (sigma != 0.)
dst.add(sigma, src);
}
template <class MATRIX>
template <class VECTOR>
inline double
ShiftedMatrix<MATRIX>::residual (VECTOR& dst,
const VECTOR& src,
const VECTOR& rhs) const
{
A->vmult(dst, src);
if (sigma != 0.)
dst.add(sigma, src);
dst.sadd(-1.,1.,rhs);
return dst.l2_norm ();
}
//---------------------------------------------------------------------------
template <class MATRIX, class MASSMATRIX, class VECTOR>
inline
ShiftedMatrixGeneralized<MATRIX, MASSMATRIX, VECTOR>
::ShiftedMatrixGeneralized (const MATRIX& A,
const MASSMATRIX& M,
const double sigma)
:
A(&A), M(&M), sigma(sigma)
{}
template <class MATRIX, class MASSMATRIX, class VECTOR>
inline void
ShiftedMatrixGeneralized<MATRIX, MASSMATRIX, VECTOR>::shift (const double s)
{
sigma = s;
}
template <class MATRIX, class MASSMATRIX, class VECTOR>
inline double
ShiftedMatrixGeneralized<MATRIX, MASSMATRIX, VECTOR>::shift () const
{
return sigma;
}
template <class MATRIX, class MASSMATRIX, class VECTOR>
inline void
ShiftedMatrixGeneralized<MATRIX, MASSMATRIX, VECTOR>::vmult (VECTOR& dst,
const VECTOR& src) const
{
A->vmult(dst, src);
if (sigma != 0.)
{
aux.reinit(dst);
M.vmult(aux, src);
dst.add(sigma, aux);
}
}
template <class MATRIX, class MASSMATRIX, class VECTOR>
inline double
ShiftedMatrixGeneralized<MATRIX, MASSMATRIX, VECTOR>::residual (VECTOR& dst,
const VECTOR& src,
const VECTOR& rhs) const
{
A->vmult(dst, src);
if (sigma != 0.)
{
aux.reinit(dst);
M.vmult(aux, src);
dst.add(sigma, aux);
}
dst.sadd(-1.,1.,rhs);
return dst.l2_norm ();
}
DEAL_II_NAMESPACE_CLOSE
#endif
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