ex5_12b.out

an introduction to boundary element methods一书源码

Example 5.12 (multiply--connected region, constant elements)

Input 
 
Number of Boundary Elements = 32 
Number of Interior Points = 4 
Number of different Boundaries = 2 
 
Last node on  boundary  1 = 16 
Last node on  boundary  2 = 32 
 
Cordinates of The Extreme Points of the Boundary Elements 

Point    X          Y 
 1     0.0000    -2.0000 
 2     0.7653    -1.8478 
 3     1.4142    -1.4142 
 4     1.8478    -0.7653 
 5     2.0000     0.0000 
 6     1.8478     0.7653 
 7     1.4142     1.4142 
 8     0.7653     1.8478 
 9     0.0000     2.0000 
10    -0.7653     1.8478 
11    -1.4142     1.4142 
12    -1.8478     0.7653 
13    -2.0000     0.0000 
14    -1.8478    -0.7653 
15    -1.4142    -1.4142 
16    -0.7653    -1.8478 
17    -0.3826    -0.9238 
18    -0.7971    -0.7971 
19    -0.9238    -0.3826 
20    -1.0000     0.0000 
21    -0.9238     0.3826 
22    -0.7971     0.7971 
23    -0.3826     0.9238 
24     0.0000     1.0000 
25     0.3826     0.9238 
26     0.7971     0.7971 
27     0.9238     0.3826 
28     1.0000     0.0000 
29     0.9238    -0.3826 
30     0.7971    -0.7971 
31     0.3826    -0.9238 
32     0.0000    -1.0000 
 
 
Boundary Conditions 

Node		Code	Prescribed Value 
 1 			 0 			    0.0000 
 2 			 0 			    0.0000 
 3 			 0 			    0.0000 
 4 			 0 			    0.0000 
 5 			 0 			    0.0000 
 6 			 0 			    0.0000 
 7 			 0 			    0.0000 
 8 			 0 			    0.0000 
 9 			 0 			    0.0000 
10 			 0 			    0.0000 
11 			 0 			    0.0000 
12 			 0 			    0.0000 
13 			 0 			    0.0000 
14 			 0 			    0.0000 
15 			 0 			    0.0000 
16 			 0 			    0.0000 
17 			 0 			  100.0000 
18 			 0 			  100.0000 
19 			 0 			  100.0000 
20 			 0 			  100.0000 
21 			 0 			  100.0000 
22 			 0 			  100.0000 
23 			 0 			  100.0000 
24 			 0 			  100.0000 
25 			 0 			  100.0000 
26 			 0 			  100.0000 
27 			 0 			  100.0000 
28 			 0 			  100.0000 
29 			 0 			  100.0000 
30 			 0 			  100.0000 
31 			 0 			  100.0000 
32 			 0 			  100.0000 
 
 
 
Interior Point Coordinates 

Point    Xi         Yi
 1     1.3858    -0.5740
 2     1.3858     0.5740
 3     0.5740     1.3858
 4    -1.3858    -0.5740
******************************************************************************** 
 
Results 


            (X,Y)              u         q
(    0.3826,    -1.9239)     0.0000   -74.5771
(    1.0897,    -1.6310)     0.0000   -77.9664
(    1.6310,    -1.0897)     0.0000   -77.9663
(    1.9239,    -0.3826)     0.0000   -74.5770
(    1.9239,     0.3826)     0.0000   -74.5772
(    1.6310,     1.0897)     0.0000   -77.9664
(    1.0897,     1.6310)     0.0000   -77.9663
(    0.3826,     1.9239)     0.0000   -74.5771
(   -0.3826,     1.9239)     0.0000   -74.5769
(   -1.0897,     1.6310)     0.0000   -77.9664
(   -1.6310,     1.0897)     0.0000   -77.9662
(   -1.9239,     0.3826)     0.0000   -74.5769
(   -1.9239,    -0.3826)     0.0000   -74.5769
(   -1.6310,    -1.0897)     0.0000   -77.9664
(   -1.0897,    -1.6310)     0.0000   -77.9665
(   -0.3826,    -1.9239)     0.0000   -74.5768
(   -0.5899,    -0.8605)   100.0000   156.1554
(   -0.8605,    -0.5899)   100.0000   156.1560
(   -0.9619,    -0.1913)   100.0000   133.4006
(   -0.9619,     0.1913)   100.0000   133.4010
(   -0.8605,     0.5899)   100.0000   156.1558
(   -0.5899,     0.8605)   100.0000   156.1555
(   -0.1913,     0.9619)   100.0000   133.4016
(    0.1913,     0.9619)   100.0000   133.4006
(    0.5899,     0.8605)   100.0000   156.1559
(    0.8605,     0.5899)   100.0000   156.1555
(    0.9619,     0.1913)   100.0000   133.4013
(    0.9619,    -0.1913)   100.0000   133.4010
(    0.8605,    -0.5899)   100.0000   156.1556
(    0.5899,    -0.8605)   100.0000   156.1559
(    0.1913,    -0.9619)   100.0000   133.4008
(   -0.1913,    -0.9619)   100.0000   133.4012



		Interior Points 

          (Xi,Yi)              u         q_x       q_y
(    1.3858,    -0.5740)    41.1499   -94.5370    35.0564
(    1.3858,     0.5740)    41.1499   -94.5371   -35.0564
(    0.5740,     1.3858)    41.1500   -35.0564   -94.5370
(   -1.3858,    -0.5740)    41.1500    94.5370    35.0564