ex5_6.out

an introduction to boundary element methods一书源码

Example 5.6 (Linear Elements)
 
Input 
 
Number of Boundary Elements = 11 
 
Number of InteriorPoints = 1 
 
Coordinates of the Extreme Points  of the  Boundary Elements  
 
Point      X          Y
 1       2.0000     0.0000
 2       1.9696     0.1736
 3       1.8794     0.3420
 4       1.7320     0.5000
 5       1.5320     0.6428
 6       1.2856     0.7660
 7       1.0000     0.8660
 8       0.6840     0.9397
 9       0.3473     0.9848
10       0.0000     1.0000
11       0.0000     0.0000
 
Boundary  Conditions 

               First Node             Second Node
               Prescribed             Prescribed
Element     CODE   Value           CODE    Value
 1			 0     2.0000			 0     1.9547
 2			 0     1.9547			 0     1.8245
 3			 0     1.8245			 0     1.6249
 4			 0     1.6249			 0     1.3800
 5			 0     1.3800			 0     1.1197
 6			 0     1.1197			 0     0.8749
 7			 0     0.8749			 0     0.6754
 8			 0     0.6754			 0     0.5422
 9			 0     0.5422			 0     0.5000
10			 1     0.0000			 1     0.0000
11			 1     0.0000			 1     0.0000

Interior Point Coordinates

       Xi         Yi
     1.0000     0.5000
 


Solution: 

Boundary Nodes 
          (X,Y)               u       Prenodal q  Postnodal q
(    2.0000,     0.0000)     2.0000     0.0000     1.2138
(    1.9696,     0.1736)     1.9547     0.7349     0.7349
(    1.8794,     0.3420)     1.8245     0.4469     0.4469
(    1.7320,     0.5000)     1.6249     0.1941     0.1941
(    1.5320,     0.6428)     1.3800    -0.1510    -0.1510
(    1.2856,     0.7660)     1.1197    -0.4201    -0.4201
(    1.0000,     0.8660)     0.8749    -0.5929    -0.5929
(    0.6840,     0.9397)     0.6754    -0.7533    -0.7533
(    0.3473,     0.9848)     0.5422    -0.7199    -0.7199
(    0.0000,     1.0000)     0.5000    -1.5266     0.0000
(    0.0000,     0.0000)     0.9506     0.0000     0.0000


Interior Points 
          (Xi,Yi)            u          q_x          q_y
(    1.0000,     0.5000)     1.0755     0.5645     -0.3547