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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: DivMuGrad.hpp,v 1.4 2007/05/20 23:02:47 delpinux Exp $
// Implement the - div(grad()) operator, in the domain.
// using finit differences on a Structured3DMesh
#ifndef DIV_MU_GRAD_HPP
#define DIV_MU_GRAD_HPP
#include <PDEOperator.hpp>
#include <ScalarFunctionBase.hpp>
#include <ScalarFunctionBuilder.hpp>
/**
* @file DivMuGrad.hpp
* @author Stephane Del Pino
* @date Wed Jul 19 16:10:23 2006
*
* @brief This class describes second order partial differencial
* operators of the form: \f$ \nabla\cdot \mu \nabla \f$
*
* This class describes second order partial differencial operators of
* the form: \f$ \nabla\cdot \mu \nabla \f$ where
*
* \f$
* \begin{array}{ll}
* \mu: &\Omega \to R \\
* &x \mapsto \mu(x)
* \end{array}
* \f$.
*
* \par example: if \f$ \mu = 1 \f$, the operator is the Laplacian.
*
*
*/
class DivMuGrad
: public PDEOperator
{
ConstReferenceCounting<ScalarFunctionBase>
__mu; /**< @f$ \mu @f$ */
public:
/**
* Access to the ith coefficient of the operator
*
* @param i the coefficient number
*
* @return @f$ \mu @f$
*/
ConstReferenceCounting<ScalarFunctionBase>
coefficient(const size_t& i)
{
ASSERT (i<1);
return __mu;
}
/**
* Gets the name of the operator
*
* @return "DivMuGrad"
*/
std::string typeName() const
{
return "DivMuGrad";
}
/**
* read-only access to the coefficient
*
* @return @f$ \mu @f$
*/
ConstReferenceCounting<ScalarFunctionBase>
mu() const
{
return __mu;
}
/**
* "multiplies" the operator by a coefficient @a c
*
* @param c the coefficient
*
* @return @f$ \nabla\cdot c\mu \nabla @f$
*/
ConstReferenceCounting<PDEOperator>
operator*(const ConstReferenceCounting<ScalarFunctionBase>& c) const
{
ScalarFunctionBuilder functionBuilder;
functionBuilder.setFunction(__mu);
functionBuilder.setBinaryOperation(BinaryOperation::product,c);
return new DivMuGrad(functionBuilder.getBuiltFunction());
}
/**
* Returns the opposite operator
*
* @return @f$ -\nabla\cdot\mu\nabla @f$
*/
ConstReferenceCounting<PDEOperator>
operator-() const
{
ScalarFunctionBuilder functionBuilder;
functionBuilder.setFunction(__mu);
functionBuilder.setUnaryMinus();
return new DivMuGrad(functionBuilder.getBuiltFunction());
}
/**
* Constructor
*
* @param mu the coefficient
*/
DivMuGrad(ConstReferenceCounting<ScalarFunctionBase> mu)
: PDEOperator(PDEOperator::divmugrad,
1),
__mu(mu)
{
;
}
/**
* Copy constructor
*
* @param D given DivMuGrad
*/
DivMuGrad(const DivMuGrad& D)
: PDEOperator(D),
__mu(D.__mu)
{
;
}
/**
* Destructor
*
*/
~DivMuGrad()
{
;
}
};
#endif // DIV_MU_GRAD_HPP
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