ex5_2.out

an introduction to boundary element methods一书源码

Example 5.2 (Constant elements, Fig. 5.10(b) )
 
 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   1     0.0000 
 2   1     0.0000 
 3   1     0.0000 
 4   0   200.0000 
 5   0   200.0000 
 6   0   200.0000 
 7   1     0.0000 
 8   1     0.0000 
 9   1     0.0000 
10   0     0.0000 
11   0     0.0000 
12   0     0.0000 
 
 
 
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)    31.8338     0.0000
(    3.0000,     0.0000)   100.0125     0.0000
(    5.0000,     0.0000)   168.1661     0.0000
(    6.0000,     1.0000)   200.0000    35.3129
(    6.0000,     3.0000)   200.0000    32.4912
(    6.0000,     5.0000)   200.0000    35.3129
(    5.0000,     6.0000)   168.1662     0.0000
(    3.0000,     6.0000)   100.0123     0.0000
(    1.0000,     6.0000)    31.8336     0.0000
(    0.0000,     5.0000)     0.0000   -35.3077
(    0.0000,     3.0000)     0.0000   -32.5140
(    0.0000,     1.0000)     0.0000   -35.3076


Interior Points (Xi,Yi)  	u	  q_x	    q_y

(    2.0000,     2.0000)    66.4934    33.5370     0.0971
(    2.0000,     4.0000)    66.4934    33.5370    -0.0971
(    3.0000,     3.0000)   100.0063    33.4764     0.0000
(    4.0000,     2.0000)   133.5199    33.5356    -0.0998
(    4.0000,     4.0000)   133.5199    33.5356     0.0998