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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 1.3 2003/09/20 21:31:09 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$, the operator is the Laplacian.
*/
class SecondOrderOperator
: public PDEOperator
{
public:
typedef TinyMatrix<3,3, ReferenceCounting<UserFunction> > Matrix;
private:
/*!
Coeficients of \f$ A \f$: \f$ a_{ij} \f$.
*/
ReferenceCounting<SecondOrderOperator::Matrix> __A;
public:
const UserFunction& coefficient(const size_t i)
{
assert (i<9);
return (*(*__A)(i/3,i%3));
}
const bool isSet(const int&i, const int&j) const
{
return ((*__A)(i,j) != 0);
}
std::string TypeName() const
{
return std::string("SecondOrderOperator");
}
//! Read-only access to operator coefs.
const UserFunction& A(const int&i, const int&j) const
{
return *(*__A)(i,j);
}
//! Read-only access to operator coefs.
const SecondOrderOperator::Matrix& A() const
{
return *__A;
}
//! Returns a pointer on a SecondOrderOperator that was "multiplied" by u
ReferenceCounting<PDEOperator> operator * (ConstReferenceCounting<UserFunction> u) 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)
(*A2)(i,j) = new MulUserFunction((*__A)(i,j), u);
}
return (new SecondOrderOperator(A2));
}
//! Returns a pointer on the opposed SecondOrderOperator operator.
ReferenceCounting<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)
(*A2)(i,j) = new UnaryMinusUserFunction((*__A)(i,j));
}
return (new SecondOrderOperator(A2));
}
//! Constructs the operator using the \a Mesh and a given function matrix \a initA.
SecondOrderOperator(ReferenceCounting<SecondOrderOperator::Matrix> initA)
: PDEOperator(PDEOperator::secondorderop,
9),
__A(initA)
{
;
}
//! Copy constructor.
SecondOrderOperator(const SecondOrderOperator& D)
: PDEOperator(D),
__A(D.__A)
{
;
}
//! Destrutor.
~SecondOrderOperator()
{
;
}
};
#endif // SECOND_ORDER_OPERATOR_HPP
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