File: VariationalProblemExpression.hpp

package info (click to toggle)
freefem3d 1.0pre10-2
  • links: PTS, VCS
  • area: main
  • in suites: lenny
  • size: 24,816 kB
  • ctags: 8,361
  • sloc: cpp: 57,201; sh: 8,788; yacc: 2,975; makefile: 1,148; ansic: 508; perl: 110
file content (207 lines) | stat: -rw-r--r-- 5,621 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
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
//  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: VariationalProblemExpression.hpp,v 1.8 2007/02/10 17:20:53 delpinux Exp $

#ifndef VARIATIONAL_PROBLEM_EXPRESSION_HPP
#define VARIATIONAL_PROBLEM_EXPRESSION_HPP

#include <Expression.hpp>

#include <ProblemExpression.hpp>

#include <VariationalFormulaExpression.hpp>
#include <VariationalDirichletListExpression.hpp>

#include <UnknownListExpression.hpp>
#include <TestFunctionExpressionList.hpp>

#include <BoundaryConditionSet.hpp>
class PDECondition;
class Boundary;

/**
 * @file   VariationalProblemExpression.hpp
 * @author Stephane Del Pino
 * @date   Wed May 29 17:32:59 2002
 * 
 * @brief  This class describes Variational Problems
 * 
 * This class describes Variational Problems
 */
class VariationalProblem;
class VariationalProblemExpression
  : public ProblemExpression
{
private:
  ReferenceCounting<VariationalFormulaExpression>
  __variationalFormula;		/**< the variational formula */

  ReferenceCounting<VariationalDirichletListExpression>
  __dirichletList;		/**< the NON-natural boundary conditions */

  ReferenceCounting<UnknownListExpression>
  __unknownList;		/**< list of unknowns */

  ReferenceCounting<TestFunctionExpressionList>
  __testFunctionList;		/**< list of testFunctions */

  ReferenceCounting<VariationalProblem>
  __variationalProblem;		/**< Variational Problem */

  /** 
   * Expression::put() overloading
   * 
   * @param os input stream
   * 
   * @return os
   */
  std::ostream& put(std::ostream& os) const
  {
    os << *__variationalFormula << '\n';
    os << *__dirichletList << '\n';
    return os;
  }

  class AlgebraicPlus;
  class AlgebraicMinus;

  /** 
   * Converts bilinear expression to variationnal form
   * 
   * @param bilinearList the bilinear expression
   * 
   */
  template <typename AlgebraicOperator>
  void __internalSetBilinear(VariationalFormulaExpression::BilinearOperatorList& bilinearList);

  /** 
   * Converts linear expression to variationnal form
   * 
   * @param linearList the linear expression
   * 
   */
  template <typename AlgebraicOperator>
  void __internalSetLinear(VariationalFormulaExpression::LinearOperatorList& linearList);

  /** 
   * Converts bilinear boundary expression to variationnal form
   * 
   * @param bilinearList the bilinear expression
   * 
   */
  template <typename AlgebraicOperator>
  void __internalSetBilinearBC(VariationalFormulaExpression::BilinearOperatorList& bilinearList);

  /** 
   * Converts linear boundary expression to variationnal form
   * 
   * @param linearList the bilinear expression
   * 
   */
  template <typename AlgebraicOperator>
  void __internalSetLinearBC(VariationalFormulaExpression::LinearOperatorList& linearList);

  /** 
   * Splites linear bounday variational expressions list
   * 
   * @param testNumber number of the test function
   * @param f the function in the linear expression
   * @param b the boundary
   */
  void __splitLinearBoundaryList(const size_t& testNumber,
				 const ScalarFunctionBase* f,
				 const Boundary* b);

  /** 
   * Splits bilinear boundary variational expression list
   * 
   * @param unknownNumber 
   * @param testNumber 
   * @param alpha 
   * @param b 
   */
  void __splitBilinearBoundaryList(const size_t& unknownNumber,
				   const size_t& testNumber,
				   const ScalarFunctionBase* alpha,
				   const Boundary* b);

  /** 
   * Splits list of boundary conditions (Dirichlet case)
   * 
   * @param bcSet the set of boundary condition currently created
   * @param pde the condition
   * @param b the boundary
   */
  void __splitBoundaryList(BoundaryConditionSet& bcSet,
			   const PDECondition* pde,
			   const Boundary* b);

public:

  /** 
   */
  /** 
   * Checks if the problem expression contains POVRay references. If
   * it does the execution is stopped. This verification is required
   * by standard FEM.
   * 
   * @return true of the 
   */
  bool hasPOVBoundary() const;

  /** 
   * 
   * Access to the variational problem
   * 
   * @return __variationalProblem
   */
  ReferenceCounting<VariationalProblem> variationalProblem();

  /** 
   * Expression::execute() overloading
   * 
   */
  void execute();

  /** 
   * Constructs the variational problem
   * 
   * @param v a variational formula
   * @param d dirichlet boundary condtions
   * @param t the test functions set
   */
  VariationalProblemExpression(ReferenceCounting<VariationalFormulaExpression> v,
			       ReferenceCounting<VariationalDirichletListExpression> d,
			       ReferenceCounting<TestFunctionExpressionList> t);

  /** 
   * Copy constructor
   * 
   * @param vp a variational problem
   */
  VariationalProblemExpression(const VariationalProblemExpression& vp);

  /** 
   * The destructor
   *
   */
  ~VariationalProblemExpression();
};

#endif // VARIATIONAL_PROBLEM_EXPRESSION_HPP