forked from johannesgerer/jburkardt-f
-
Notifications
You must be signed in to change notification settings - Fork 1
/
fem2d_poisson_sparse_lake.html
156 lines (133 loc) · 3.96 KB
/
fem2d_poisson_sparse_lake.html
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
<html>
<head>
<title>
FEM2D_POISSON_SPARSE_LAKE - A Problem in a Lake-shaped Region for FEM2D_POISSON_SPARSE
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM2D_POISSON_SPARSE_LAKE <br> A Problem in a Lake-shaped Region for FEM2D_POISSON_SPARSE
</h1>
<hr>
<p>
<b>FEM2D_POISSON_SPARSE_LAKE</b>
is a FORTRAN90 library which
defines the geometry of a lake-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by FEM2D_POISSON_SPARSE
as part of a solution procedure.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/fem2d_poisson_sparse/fem2d_poisson_sparse.html">
FEM2D_POISSON_SPARSE</a>,
a FORTRAN90 program which
solves Poisson's equation on a triangulated region,
using the finite element method.
</p>
<p>
<a href = "../../f_src/fem2d_poisson_sparse_ell/fem2d_poisson_sparse_ell.html">
FEM2D_POISSON_SPARSE_ELL</a>,
a FORTRAN90 library which
defines the geometry of an L-shaped region, as well as boundary
conditions for a given Poisson problem, and is called by FEM2D_POISSON_SPARSE
as part of a solution procedure.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Hans Rudolf Schwarz,<br>
Methode der Finiten Elemente,<br>
Teubner Studienbuecher, 1980,<br>
ISBN: 3-519-02349-0.
</li>
<li>
Gilbert Strang, George Fix,<br>
An Analysis of the Finite Element Method,<br>
Cambridge, 1973,<br>
ISBN: 096140888X,<br>
LC: TA335.S77.
</li>
<li>
Olgierd Zienkiewicz,<br>
The Finite Element Method,<br>
Sixth Edition,<br>
Butterworth-Heinemann, 2005,<br>
ISBN: 0750663200.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "lake.f90">lake.f90</a>,
the user-supplied routines to evaluate the right hand side,
linear coefficient, and boundary conditions;
</li>
<li>
<a href = "lake_nodes.txt">lake_nodes.txt</a>,
a text file containing a list, for each node, of its X and Y
coordinates;
</li>
<li>
<a href = "lake_nodes.png">lake_nodes.png</a>,
a PNG image of the nodes.
</li>
<li>
<a href = "lake_elements.txt">lake_elements.txt</a>,
a text file containing a list, for each element, of the three
nodes that compose it;
</li>
<li>
<a href = "lake_elements.png">lake_elements.png</a>,
a PNG image of the elements.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "lake.sh">lake.sh</a>,
commands to compile the user routines, link them with
the partial program, and run the program;
</li>
<li>
<a href = "lake_output.txt">lake_output.txt</a>,
the output file.
</li>
<li>
<a href = "lake_solution.txt">lake_solution.txt</a>,
a text file containing the solution U at each node (X,Y);
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 02 January 2011.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>