?? ex5_12b.out
字號(hào):
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
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