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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: Neumann.hpp,v 1.2 2003/06/10 18:26:22 delpinux Exp $
// this class allows to define Neumann Boundary Conditions
#ifndef _NEUMANN_HPP_
#define _NEUMANN_HPP_
#include <TinyVector.hpp>
#include <TinyMatrix.hpp>
#include <PDECondition.hpp>
#include <UserFunction.hpp>
/*!
\class Neumann
This class sets Neumann boundary conditions
\f$ A \nabla u\cdot n = g \f$ on \f$ \gamma \f$.
where \f$ A \f$ is the matrix associated to the operator
\f$ \nabla\cdot A\nabla \f$ and \f$ n \f$ the normal to
\f$ \gamma \$f. So \f$ g \f$, the given data is the \b
conormal derivative of \f$ u \f$.
\author Stphane Del Pino
*/
class Neumann
: public PDECondition
{
private:
//! The function to impose as a Neumann boundary condition.
ReferenceCounting<UserFunction> __g;
public:
inline const real_t g(const TinyVector<3,real_t>& X) const
{
return (*__g)(X);
}
inline ReferenceCounting<UserFunction> gReference() const
{
return __g;
}
const std::string typeName() const
{
return std::string("Neumann");
}
//! Constructs a Neumann boundary condition.
Neumann(ReferenceCounting<UserFunction> uf,
const size_t unknownNumber)
: PDECondition(PDECondition::neumann, unknownNumber),
__g(uf)
{
;
}
//! Copy a Neumann boundary condition.
Neumann(const Neumann& N)
: PDECondition(N),
__g(N.__g)
{
;
}
//! Destrutor.
~Neumann()
{
;
}
};
#endif // _NEUMANN_HPP_
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