?? ex5_12b.out
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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 -74.5786( 1.0897, -1.6310) 0.0000 -77.9671( 1.6310, -1.0897) 0.0000 -77.9672( 1.9239, -0.3826) 0.0000 -74.5777( 1.9239, 0.3826) 0.0000 -74.5780( 1.6310, 1.0897) 0.0000 -77.9677( 1.0897, 1.6310) 0.0000 -77.9660( 0.3826, 1.9239) 0.0000 -74.5773( -0.3826, 1.9239) 0.0000 -74.5766( -1.0897, 1.6310) 0.0000 -77.9663( -1.6310, 1.0897) 0.0000 -77.9665( -1.9239, 0.3826) 0.0000 -74.5771( -1.9239, -0.3826) 0.0000 -74.5768( -1.6310, -1.0897) 0.0000 -77.9666( -1.0897, -1.6310) 0.0000 -77.9662( -0.3826, -1.9239) 0.0000 -74.5771( -0.5899, -0.8605) 100.0000 156.1557( -0.8605, -0.5899) 100.0000 156.1561( -0.9619, -0.1913) 100.0000 133.4009( -0.9619, 0.1913) 100.0000 133.4015( -0.8605, 0.5899) 100.0000 156.1558( -0.5899, 0.8605) 100.0000 156.1553( -0.1913, 0.9619) 100.0000 133.4015( 0.1913, 0.9619) 100.0000 133.4006( 0.5899, 0.8605) 100.0000 156.1557( 0.8605, 0.5899) 100.0000 156.1559( 0.9619, 0.1913) 100.0000 133.4007( 0.9619, -0.1913) 100.0000 133.4013( 0.8605, -0.5899) 100.0000 156.1556( 0.5899, -0.8605) 100.0000 156.1557( 0.1913, -0.9619) 100.0000 133.4011( -0.1913, -0.9619) 100.0000 133.4009 Interior Points (Xi,Yi) u q_x q_y( 1.3858, -0.5740) 41.1500 -94.5373 35.0565( 1.3858, 0.5740) 41.1501 -94.5374 -35.0563( 0.5740, 1.3858) 41.1506 -35.0566 -94.5368( -1.3858, -0.5740) 41.1508 94.5368 35.0564
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