-
Notifications
You must be signed in to change notification settings - Fork 57
/
fem2d_poisson_sparse_ell.html
165 lines (140 loc) · 4.77 KB
/
fem2d_poisson_sparse_ell.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
156
157
158
159
160
161
162
163
164
165
<html>
<head>
<title>
FEM2D_POISSON_SPARSE_ELL - A Poisson Problem in an L-shaped Region
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM2D_POISSON_SPARSE_ELL <br> A Poisson Problem in an L-shaped Region
</h1>
<hr>
<p>
<b>FEM2D_POISSON_SPARSE_ELL</b> is a MATLAB library which
defines the geometry and other data for the "ell" problem,
an L-shaped region. The problem is suitable for solution
by <b>fem2d_poisson_sparse</b>.
</p>
<p>
This mesh, which uses 65 nodes, was created by starting with
a crude mesh, and having it refined by TRIANGULATION_REFINE
and renumbered by TRIANGULATION_RCM.
</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">
Languages:
</h3>
<p>
<b>FEM2D_POISSON_SPARSE_ELL</b> is available in
<a href = "../../cpp_src/fem2d_poisson_sparse_ell/fem2d_poisson_sparse_ell.html">a C++ version</a> and
<a href = "../../f_src/fem2d_poisson_sparse_ell/fem2d_poisson_sparse_ell.html">a FORTRAN90 version</a> and
<a href = "../../m_src/fem2d_poisson_sparse_ell/fem2d_poisson_sparse_ell.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/fem2d_poisson_sparse/fem2d_poisson_sparse.html">
FEM2D_POISSON_SPARSE</a>,
a MATLAB program which
solves the steady (time independent) Poisson equation on an arbitrary
2D triangulated region using MATLAB's sparse solver.
</p>
<p>
<a href = "../../m_src/fem2d_poisson_sparse_baffle/fem2d_poisson_sparse_baffle.html">
FEM2D_POISSON_SPARSE_BAFFLE</a>,
a MATLAB library which
defines the geometry of a rectangle channel containing 13 hexagonal baffles,
as well as boundary conditions for a given Poisson problem, and is called by
fem2d_poisson_sparse as part of a solution procedure.
</p>
<p>
<a href = "../../m_src/fem2d_poisson_sparse_lake/fem2d_poisson_sparse_lake.html">
FEM2D_POISSON_SPARSE_LAKE</a>,
a MATLAB 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>
<p>
<a href = "../../m_src/triangulation_order3_contour/triangulation_order3_contour.html">
TRIANGULATION_ORDER3_CONTOUR</a>,
a MATLAB program which
makes a contour plot of scattered data,
or of data defined on an order 3 triangulation. In particular, it can display
contour plots of scalar data output by fem2d_poisson or fem2d_poisson_sparse.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "dirichlet_condition.m">dirichlet_condition.m</a>,
the user-supplied routine to evaluate the boundary conditions;
</li>
<li>
<a href = "h_coef.m">h_coef.m</a>,
the user-supplied routine to evaluate H(X,Y);
</li>
<li>
<a href = "k_coef.m">k_coef.m</a>,
the user-supplied routine to evaluate K(X,Y);
</li>
<li>
<a href = "rhs.m">rhs.m</a>,
the user-supplied routine the right hand side;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "ell_output.txt">ell_output.txt</a>,
output from a run of the program;
</li>
<li>
<a href = "ell_nodes.txt">ell_nodes.txt</a>,
a text file containing a list, for each node, of its X and Y
coordinates;
</li>
<li>
<a href = "ell_nodes.png">ell_nodes.png</a>,
a PNG image of the nodes;
</li>
<li>
<a href = "ell_elements.txt">ell_elements.txt</a>,
a text file containing a list, for each element, of the three
nodes that compose it;
</li>
<li>
<a href = "ell_elements.png">ell_elements.png</a>,
a PNG image of the element mesh;
</li>
<li>
<a href = "ell_values.txt">ell_values.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 = "../m_src.html">
the MATLAB source code page</a>.
</p>
<hr>
<i>
Last revised on 13 December 2012.
</i>
<!-- John Burkardt -->
</body>
</html>