ex5_3.out

an introduction to boundary element methods一书源码

Example 5.3 (Constant Elements)
 
 Input 
 
Number of Boundary Elements = 12 
Number of Interior Points =  5 
 
Cordinates of Extreme Points 

Point    X          Y
 1     0.0000     0.0000 
 2     2.0000     0.0000 
 3     4.0000     0.0000 
 4     6.0000     0.0000 
 5     6.0000     2.0000 
 6     6.0000     4.0000 
 7     6.0000     6.0000 
 8     4.0000     6.0000 
 9     2.0000     6.0000 
10     0.0000     6.0000 
11     0.0000     4.0000 
12     0.0000     2.0000 
 
 
Boundary Conditions 

Node Code  Prescribed Value
 1   0     0.0000 
 2   0     0.0000 
 3   0     0.0000 
 4   1    48.9000 
 5   1    43.7000 
 6   1    48.9000 
 7   0    45.3000 
 8   0   148.9000 
 9   0   231.6000 
10   1   -48.9000 
11   1   -43.7000 
12   1   -48.9000 
 
 
 
Interior Point Coordinates 

Point    Xi      Yi
 1     2.0000 2.0000 
 2     2.0000 4.0000 
 3     3.0000 3.0000 
 4     4.0000 2.0000 
 5     4.0000 4.0000 
******************************************************************************** 
Solution: 
 
Boundary Nodes 

    Nodes (X,Y)			u	q

(    1.0000,     0.0000)     0.0000    18.5887
(    3.0000,     0.0000)     0.0000   -23.0516
(    5.0000,     0.0000)     0.0000   -68.5201
(    6.0000,     1.0000)    86.6211    48.9000
(    6.0000,     3.0000)   141.8811    43.7000
(    6.0000,     5.0000)   123.5765    48.9000
(    5.0000,     6.0000)    45.3000   -79.9286
(    3.0000,     6.0000)   148.9000    30.6955
(    1.0000,     6.0000)   231.6000   122.3420
(    0.0000,     5.0000)   111.1346   -48.9000
(    0.0000,     3.0000)    -0.6826   -43.7000
(    0.0000,     1.0000)   -41.6171   -48.9000


Interior Points (Xi,Yi)  	u	  q_x	    q_y

(    2.0000,     2.0000)    31.7246    18.0850    22.1573
(    2.0000,     4.0000)    92.1872     6.8650    39.4602
(    3.0000,     3.0000)    71.1491    11.9264    24.0222
(    4.0000,     2.0000)    62.6036    17.7637    25.4824
(    4.0000,     4.0000)    97.8294     5.5206     8.8485