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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2001, 2002, 2003 Stphane Del Pino
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2, or (at your option)
// any later version.
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
// $Id: SecondOrderOperator.hpp,v 1.4 2006/07/20 19:08:54 delpinux Exp $
#ifndef SECOND_ORDER_OPERATOR_HPP
#define SECOND_ORDER_OPERATOR_HPP
#include <TinyMatrix.hpp>
#include <PDEOperator.hpp>
/**
* @file SecondOrderOperator.hpp
* @author Stphane Del Pino
* @date Mon Jun 9 23:27:51 2003
*
* @brief second order partial differencial operators
*
* The class SecondOrderOperator describes second order partial
* differencial operators: \f$ \nabla\cdot A \nabla \f$ where \f$ A
* \f$ is a \f$ 3\times 3 \f$ matrix of functions.
*
* \par example: if \f$ A = I \f$, the operator is the Laplacian.
*/
class SecondOrderOperator
: public PDEOperator
{
public:
typedef
TinyMatrix<3,3, ConstReferenceCounting<ScalarFunctionBase> >
Matrix; /**< @typedef matrix of functions */
private:
ConstReferenceCounting<SecondOrderOperator::Matrix>
__A; /**< \f$ A \f$: \f$ A_{ij} \f$ */
public:
/**
* Checks if a coefficient of @f$ A @f$ is set
*
* @param i line
* @param j column
*
* @return true if @f$ A_{ij} @f$ has been set
*/
bool isSet(const int&i,
const int&j) const
{
return ((*__A)(i,j) != 0);
}
/**
* Writes the name of the operator
*
* @return "SecondOrderOperator"
*/
std::string typeName() const
{
return "SecondOrderOperator";
}
/**
* Read-only access to the coefficient @f$ A_{ij} @f$
*
* @param i line number
* @param j column number
*
* @return @f$ A_{ij} @f$
*/
ConstReferenceCounting<ScalarFunctionBase>
A(const int&i, const int&j) const
{
return (*__A)(i,j);
}
/**
* Read-only access to the matrix @f$ A @f$
*
* @return __A
*/
ConstReferenceCounting<SecondOrderOperator::Matrix>
A() const
{
return __A;
}
/**
* "multiplies" the operator by a coefficient
*
* @param c coefficient
*
* @return @f$ \nabla \cdot c A \nabla @f$
*/
ConstReferenceCounting<PDEOperator>
operator*(const ConstReferenceCounting<ScalarFunctionBase>& c) const
{
ReferenceCounting<SecondOrderOperator::Matrix> A2
= new SecondOrderOperator::Matrix;
for (size_t i=0; i<3; ++i)
for (size_t j=0; j<3; ++j) {
if ((*__A)(i,j) != 0) {
ScalarFunctionBuilder functionBuilder;
functionBuilder.setFunction((*__A)(i,j));
functionBuilder.setBinaryOperation(BinaryOperation::product,c);
(*A2)(i,j) = functionBuilder.getBuiltFunction();
}
}
return (new SecondOrderOperator(A2));
}
//! Returns a pointer on the opposed SecondOrderOperator operator.
/**
* gets the opposite operator
*
* @return @f$ -\nabla\cdot A\nabla @f$
*/
ConstReferenceCounting<PDEOperator>
operator-() const
{
ReferenceCounting<SecondOrderOperator::Matrix> A2
= new SecondOrderOperator::Matrix;
for (size_t i=0; i<3; ++i)
for (size_t j=0; j<3; ++j) {
if ((*__A)(i,j) != 0) {
ScalarFunctionBuilder functionBuilder;
functionBuilder.setFunction((*__A)(i,j));
functionBuilder.setUnaryMinus();
(*A2)(i,j) = functionBuilder.getBuiltFunction();
}
}
return (new SecondOrderOperator(A2));
}
/**
* Constructor
*
* @param A given matrix
*/
SecondOrderOperator(ReferenceCounting<SecondOrderOperator::Matrix> A)
: PDEOperator(PDEOperator::secondorderop,
9),
__A(A)
{
;
}
/**
* Copy constructor
*
* @param O given operator
*/
SecondOrderOperator(const SecondOrderOperator& O)
: PDEOperator(O),
__A(O.__A)
{
;
}
/**
* Destructor
*
*/
~SecondOrderOperator()
{
;
}
};
#endif // SECOND_ORDER_OPERATOR_HPP
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