ex5_4.out

an introduction to boundary element methods一书源码

Example 5.4 (Constant Elements)
 
 Input 
 
Number of Boundary Elements = 16 
Number of Interior Points =  3 
 
Cordinates of Extreme Points 

Point    X          Y
 1    10.0000     0.0000 
 2    15.0000     0.0000 
 3    20.0000     0.0000 
 4    25.0000     0.0000 
 5    30.0000     0.0000 
 6    27.7164    11.4805 
 7    21.2132    21.2132 
 8    11.4805    27.7164 
 9     0.0000    30.0000 
10     0.0000    25.0000 
11     0.0000    20.0000 
12     0.0000    15.0000 
13     0.0000    10.0000 
14     3.8268     9.2388 
15     7.0711     7.0711 
16     9.2388     3.8268 
 
 
Boundary Conditions 

Node Code  Prescribed Value
 1   1     0.0000 
 2   1     0.0000 
 3   1     0.0000 
 4   1     0.0000 
 5   0   400.0000 
 6   0   400.0000 
 7   0   400.0000 
 8   0   400.0000 
 9   1     0.0000 
10   1     0.0000 
11   1     0.0000 
12   1     0.0000 
13   0  1000.0000 
14   0  1000.0000 
15   0  1000.0000 
16   0  1000.0000 
 
 
 
Interior Point Coordinates 

Point    Xi      Yi
 1     18.4776 7.6537 
 2     14.1421 14.1421 
 3     7.6537 18.4776 
******************************************************************************** 
Solution: 
 
Boundary Nodes 

    Nodes (X,Y)			u	q

(   12.5000,     0.0000)   876.1200     0.0000
(   17.5000,     0.0000)   688.5446     0.0000
(   22.5000,     0.0000)   548.9432     0.0000
(   27.5000,     0.0000)   438.1204     0.0000
(   28.8582,     5.7403)   400.0000   -18.8493
(   24.4648,    16.3468)   400.0000   -18.4573
(   16.3468,    24.4648)   400.0000   -18.4573
(    5.7403,    28.8582)   400.0000   -18.8494
(    0.0000,    27.5000)   438.1204     0.0000
(    0.0000,    22.5000)   548.9433     0.0000
(    0.0000,    17.5000)   688.5447     0.0000
(    0.0000,    12.5000)   876.1202     0.0000
(    1.9134,     9.6194)  1000.0000    58.3131
(    5.4489,     8.1549)  1000.0000    53.7123
(    8.1549,     5.4489)  1000.0000    53.7123
(    9.6194,     1.9134)  1000.0000    58.3130


Interior Points (Xi,Yi)  	u	  q_x	    q_y

(   18.4776,     7.6537)   613.8828   -25.3482   -10.6362
(   14.1421,    14.1421)   613.4034   -19.3796   -19.3796
(    7.6537,    18.4776)   613.8828   -10.6362   -25.3482