File: FiniteElementMethod.cpp

package info (click to toggle)
freefem3d 1.0pre10-3.4
  • links: PTS, VCS
  • area: main
  • in suites: stretch
  • size: 25,016 kB
  • ctags: 8,675
  • sloc: cpp: 57,204; sh: 8,788; yacc: 2,975; makefile: 1,149; ansic: 508; perl: 110
file content (178 lines) | stat: -rw-r--r-- 5,120 bytes parent folder | download | duplicates (5)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
//  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: FiniteElementMethod.cpp,v 1.19 2007/05/20 23:15:36 delpinux Exp $

#include <FiniteElementMethod.hpp>

#include <PDESolution.hpp>

#include <PDEProblem.hpp>

#include <Structured3DMesh.hpp>
#include <MeshOfHexahedra.hpp>
#include <MeshOfTetrahedra.hpp>

#include <FEMDiscretization.hpp>

#include <BoundaryConditionDiscretizationFEM.hpp>

#include <map>
#include <list>

#include <KrylovSolver.hpp>

#include <MatrixManagement.hpp>

#include <SparseMatrix.hpp>
#include <PETScMatrix.hpp>

#include <Timer.hpp>

#include <ErrorHandler.hpp>

template <typename MeshType,
	  DiscretizationType::Type TypeOfDiscretization>
void FiniteElementMethod::__discretizeOnMesh()
{
  MemoryManager MM;

  bool performAssembling =MM.ReserveMatrix(__A,
					   problem().numberOfUnknown(),
					   __degreeOfFreedomSet.size());

  MM.ReserveVector(__b,
		   problem().numberOfUnknown(),
		   __degreeOfFreedomSet.size());

  ffout(2) << "Finite element method: disretization...\n";

  ReferenceCounting<FEMDiscretization<MeshType,
                                      TypeOfDiscretization> > FEM
    = new FEMDiscretization<MeshType,
                            TypeOfDiscretization>(problem(),
						  dynamic_cast<MeshType&>(mesh()),
						  *__A,*__b, __degreeOfFreedomSet);

  if (performAssembling) {
    FEM->assembleMatrix();
  } else {
    ffout(2) << "- keeping previous operator discretization\n";
  }

  FEM->assembleSecondMember();


  ffout(2) << "- discretizing boundary conditions\n";

  BoundaryConditionDiscretizationFEM<MeshType,
                                     TypeOfDiscretization>* bcd
    = new BoundaryConditionDiscretizationFEM<MeshType,
                                             TypeOfDiscretization>(problem(),
								   dynamic_cast<MeshType&>(mesh()),
								   __degreeOfFreedomSet);
  bcd->associatesMeshesToBoundaryConditions();
  ReferenceCounting<BoundaryConditionDiscretization> bcDiscretization = bcd;

  // Set Dirichlet information to the matrix
  FEM->setDirichletList(bcDiscretization->getDirichletList());

  ffout(2) << "- second member modification\n";
  bcDiscretization->setSecondMember(__A,__b);

  ffout(2) << "- matrix modification\n";
  bcDiscretization->setMatrix(__A,__b);

  ffout(2) << "Finite element method: disretization done\n";

  if (__A->type() == BaseMatrix::doubleHashedMatrix) {
    Timer t;
    t.start();

#warning temporary implementation
#ifdef    HAVE_PETSC
    PETScMatrix* aa
      = new PETScMatrix(static_cast<DoubleHashedMatrix&>(*__A));
    __A = aa; // now use sparse matrix
#else  // HAVE_PETSC
    SparseMatrix* aa
      = new SparseMatrix(static_cast<DoubleHashedMatrix&>(*__A));
    
    __A = aa; // now use sparse matrix
#endif // HAVE_PETSC

    t.stop();
    ffout(2) << "Matrix copy: " << t << '\n';
  }
}

template <DiscretizationType::Type TypeOfDiscretization>
void FiniteElementMethod::__discretize()
{
  switch (mesh().type()) {
  case Mesh::cartesianHexahedraMesh: {
    this->__discretizeOnMesh<Structured3DMesh, TypeOfDiscretization>();
    break;
  }
  case Mesh::hexahedraMesh: {
    this->__discretizeOnMesh<MeshOfHexahedra, TypeOfDiscretization>();
    break;
  }
  case Mesh::tetrahedraMesh: {
    this->__discretizeOnMesh<MeshOfTetrahedra, TypeOfDiscretization>();
    break;
  }
  default: {
    throw ErrorHandler(__FILE__, __LINE__,
		       "Cannot use '"+mesh().typeName()+"' for finite element computations",
		       ErrorHandler::normal);
  }
  }
}

void FiniteElementMethod::Discretize (ConstReferenceCounting<Problem> Pb)
{
  __problem = Pb;

  switch(__discretizationType.type()) {
  case DiscretizationType::lagrangianFEM0: {
    this->__discretize<DiscretizationType::lagrangianFEM0>();
    return;
  }
  case DiscretizationType::lagrangianFEM1: {
    this->__discretize<DiscretizationType::lagrangianFEM1>();
    return;
  }
  case DiscretizationType::lagrangianFEM2: {
    this->__discretize<DiscretizationType::lagrangianFEM2>();
    return;
  }
  default: {
    throw ErrorHandler(__FILE__,__LINE__,
		       "Discretization type not implemented",
		       ErrorHandler::normal);
  }
  }
}

void FiniteElementMethod::Compute (Solution& U)
{
  PDESolution& u = static_cast<PDESolution&>(U);
  KrylovSolver K(*__A, *__b, __degreeOfFreedomSet);
  K.solve(problem(), u.values());
}