WELCOME TO PARABOLIC ELEMENT BEM PROGRAM I N P U T D A T A BOUNDARY ELEMENT METHOD APPLIED TO POTENTIAL PROBLEMS BOUNDARY CONDITIONS ARE ASSIGNED TO ELEMENTS. IF ELM TYPE(I) = 1, THEN DIRICHLIT. IF ELM TYPE(I) = 2, THEN NEUMANN. NUMBER OF ELEMENTS= 8 ELM # ---> ELEMENT NUMBER ELM # I J K ELM TYPE BOUNDARY VALUES 1 1 2 3 1 0.00000 0.00000 0.00000 2 3 4 5 1 0.00000 0.00000 0.00000 3 5 6 7 1 0.00000 0.00000 0.00000 4 7 8 1 1 0.00000 0.00000 0.00000 5 9 10 11 1 1.00000 1.00000 1.00000 6 11 12 13 1 1.00000 1.00000 1.00000 7 13 14 15 1 1.00000 1.00000 1.00000 8 15 16 9 1 1.00000 1.00000 1.00000 NUMBER OF BOUNDARY NODES= 16 NODE X-COORDINATE Y-COORDINATE 1 10.00000000 0.00000000 2 7.07000000 7.07000000 3 0.00000000 10.00000000 4 -7.07000000 7.07000000 5 -10.00000000 0.00000000 6 -7.07000000 -7.07000000 7 0.00000000 -10.00000000 8 7.07000000 -7.07000000 9 5.00000000 0.00000000 10 3.53500000 -3.53500000 11 0.00000000 -5.00000000 12 -3.53500000 -3.53500000 13 -5.00000000 0.00000000 14 -3.53500000 3.53500000 15 0.00000000 5.00000000 16 3.53500000 3.53500000 NUMBER OF INTERIOR POINTS= 4 POINT X-COORDINATE Y-COORDINATE 1 6.00000000 0.00000000 2 7.00000000 0.00000000 3 8.00000000 0.00000000 4 9.00000000 0.00000000 END OF INPUT-DATA ECHO PRINT *** N U M E R I C A L S O L U T I O N *** -- FLUX ON BOUNDARY -- ELEMENT NODE-I NODE-J NODE-K DP/DN(I) DP/DN(J) DP/DN(K) 1 1 2 3 0.1455457929 0.1450576332 0.1455457929 2 3 4 5 0.1455457929 0.1450576332 0.1455457929 3 5 6 7 0.1455457929 0.1450576332 0.1455457929 4 7 8 1 0.1455457929 0.1450576332 0.1455457929 5 9 10 11 -0.2916232116 -0.2892339421 -0.2916232116 6 11 12 13 -0.2916232116 -0.2892339421 -0.2916232116 7 13 14 15 -0.2916232116 -0.2892339421 -0.2916232116 8 15 16 9 -0.2916232116 -0.2892339421 -0.2916232116 -- FREE TERM AND POTENTIAL VALUES AT NODAL POINTS -- NODE FREE TERM POTENTIAL 1 0.470138 0.00000000E+00 2 0.500000 0.00000000E+00 3 0.470138 0.00000000E+00 4 0.500000 0.00000000E+00 5 0.470138 0.00000000E+00 6 0.500000 0.00000000E+00 7 0.470138 0.00000000E+00 8 0.500000 0.00000000E+00 9 0.529863 1.0000000 10 0.500000 1.0000000 11 0.529863 1.0000000 12 0.500000 1.0000000 13 0.529863 1.0000000 14 0.500000 1.0000000 15 0.529863 1.0000000 16 0.500000 1.0000000 -- POTENTIAL AT INTERNAL POINT -- POINT X-COORD Y-COORD POTENTIAL 1 6.0000 0.00000E+00 0.73185 2 7.0000 0.00000E+00 0.50940 3 8.0000 0.00000E+00 0.31682 4 9.0000 0.00000E+00 0.14758