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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 0.984810 0.0000 1.000011 0.0000 0.0000 Boundary Conditions First Node Second Node Prescribed PrescribedElement 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 0.500010 1 0.0000 1 0.000011 1 0.0000 1 0.0000Interior 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 0.0000Interior Points (Xi,Yi) u q_x q_y( 1.0000, 0.5000) 1.0755 0.5645 -0.3547
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