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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: FictitiousDomainMethod.hpp,v 1.2 2004/01/30 17:34:12 delpinux Exp $
#ifndef FICTITIOUS_DOMAIN_METHOD_HPP
#define FICTITIOUS_DOMAIN_METHOD_HPP
#include <BaseMatrix.hpp>
#include <BaseVector.hpp>
#include <Method.hpp>
#include <Problem.hpp>
#include <PDESystem.hpp>
#include <Solution.hpp>
#include <DegreeOfFreedomSet.hpp>
#include <DegreeOfFreedomFDMSet.hpp>
#include <Mesh.hpp>
class BoundaryConditionDiscretization;
/**
* @file FictitiousDomainMethod.hpp
* @author Stephane Del Pino
* @date Mon Nov 3 18:29:42 2003
*
* @brief discretizes standard fictitious domain like methods
*
*/
class FictitiousDomainMethod
: public Method
{
protected:
ReferenceCounting<BaseMatrix> __A; /**< The matrix */
ReferenceCounting<BaseVector> __b; /**< The second member */
ReferenceCounting<Vector<real_t> > __u; /**< the unknown vector */
ReferenceCounting<Mesh> __mesh; /**< The discretization mesh */
ConstReferenceCounting<Problem> __problem; /**< The problem to discretze */
const DegreeOfFreedomSet& __givenDegreeOfFreedomSet; /**< The guessed degrees of freedom set */
ReferenceCounting<DegreeOfFreedomFDMSet> __degreeOfFreedomSet; /**< The "real" degrees of freedom set */
private:
/**
* Computes the degrees of freedom set and modifies the problem.
* The problem is modified to take into account the domain geometry.
* This template version use a specific \a MeshType.
*
* @param givenProblem will be modified and stored in \a __problem
*/
template <typename MeshType>
void __computesDegreesOfFreedom(ConstReferenceCounting<Problem> givenProblem);
template <typename ElementGeometry>
real_t __integrateCharacteristicFunction(const ElementGeometry& e, const Domain& D);
/**
* Effectively discretizes the problem
*
*/
template <typename MeshType>
void __discretize();
protected:
/**
* Specific call to the boundary condition discretization
*
* @return the boundary condition discretization
*/
virtual ReferenceCounting<BoundaryConditionDiscretization> discretizeBoundaryConditions() = 0;
/**
* Computes the degrees of freedom set and modifies the problem.
* The problem is modified to take into account the domain geometry
*
* @param givenProblem will be modified and stored in \a __problem
*/
void computesDegreesOfFreedom(ConstReferenceCounting<Problem> givenProblem);
public:
/**
* Discretizes the problem P
*
* @param P the problem to discretize
*/
void Discretize (ConstReferenceCounting<Problem> P);
/**
* Computes the solution u of the problem
*
* @param u the solution
*/
void Compute (Solution& u);
/**
* Read only access to the problem
*
* @return the problem
*/
const Problem& problem() const
{
return *__problem;
}
/**
* Access to the mesh
*
* @return the mesh
*/
Mesh& mesh()
{
return *__mesh;
}
/**
* Constructs a FictitiousDomainMethod using a mesh and a given
* degree of freedom set.
*
* @param M a given mesh
* @param dof a given degree of freedom set
*
*/
FictitiousDomainMethod(ReferenceCounting<Mesh> M,
const DegreeOfFreedomSet& dof)
: __mesh(M),
__givenDegreeOfFreedomSet(dof)
{
;
}
/**
* Virtual Destructor
*
*/
virtual ~FictitiousDomainMethod()
{
;
}
};
#endif // FICTITIOUS_DOMAIN_METHOD_HPP
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