?? ex5_2.out
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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
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