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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: FirstOrderOperator.hpp,v 1.3 2003/09/20 21:31:09 delpinux Exp $
#ifndef _FIRST_ORDER_OP_
#define _FIRST_ORDER_OP_
#include <PDEOperator.hpp>
/*!
\class FirstOrderOperator
The class FirstOrderOp describes first order partial differencial
operators: \f$ \nu\cdot\nabla \f$ where \f$ \nu \f$ is a dimension 3
function vector.
\par example:
if \f$ \nu = (1,1,1) \f$, the operator is the divergence.
\author Stphane Del Pino
*/
class FirstOrderOperator
: public PDEOperator
{
public:
typedef TinyVector<3, ReferenceCounting<UserFunction> > Vector;
/*!
Coeficients of \f$ \nu \f$: \f$ \nu_i \f$.
*/
private:
ReferenceCounting<FirstOrderOperator::Vector> __nu;
public:
const UserFunction& coefficient(const size_t i)
{
assert (i<3);
return (*(*__nu)[i]);
}
std::string TypeName() const
{
return std::string("FirstOrderOperator");
}
//! Read-only access to operator coefs.
const UserFunction& nu(const int&i) const
{
return *(*__nu)[i];
}
//! Read-only access to operator coefs.
const FirstOrderOperator::Vector& nu() const
{
return *__nu;
}
//! Returns a pointer on the "multiplied" by u FirstOrderOperator
ReferenceCounting<PDEOperator> operator * (ConstReferenceCounting<UserFunction> u) const
{
ReferenceCounting<FirstOrderOperator::Vector> __nu2
= new FirstOrderOperator::Vector;
for (size_t i=0; i<3; ++i)
(*__nu2)[i] = new MulUserFunction((*__nu)[i], u);
return (new FirstOrderOperator(__nu2));
}
//! Returns a pointer on the opposed FirstOrderOperator operator.
ReferenceCounting<PDEOperator> operator - () const
{
ReferenceCounting<FirstOrderOperator::Vector> __nu2
= new FirstOrderOperator::Vector;
for (size_t i=0; i<3; ++i)
(*__nu2)[i] = new UnaryMinusUserFunction((*__nu)[i]);
return (new FirstOrderOperator(__nu2));
}
//! Constructs the operator using the \a Mesh and a given function matrix \a initA.
FirstOrderOperator(ReferenceCounting<FirstOrderOperator::Vector> initNu)
: PDEOperator(PDEOperator::firstorderop,
3),
__nu(initNu)
{
;
}
//! Copy constructor.
FirstOrderOperator(const FirstOrderOperator& D)
: PDEOperator(D),
__nu(D.__nu)
{
;
}
//! Destrutor.
~FirstOrderOperator()
{
;
}
};
#endif // _FIRST_ORDER_OP_
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