C 代码 实现有限元法 （FEM） 以实现稳定的 （时间无关）一维热方程.rar

26 February 2022 06:06:25 PM FEM1D_BVP_LINEAR_TEST C version Test the FEM1D_HEAT_STEADY library. FEM1D_HEAT_STEADY_TEST01 K1(X) = 1.0 F1(X) = X * ( X + 3 ) * exp ( X ) U1(X) = X * ( 1 - X ) * exp ( X ) Number of nodes = 11 Left endpoint A = 0.000000 Right endpoint B = 1.000000 Prescribed U(A) = 0.000000 Prescribed U(B) = 0.000000 I X U Uexact Error 0 0.000000 0.000000 0.000000 4.996e-16 1 0.100000 0.099466 0.099465 1.33423e-07 2 0.200000 0.195425 0.195424 2.47563e-07 3 0.300000 0.283471 0.283470 3.39433e-07 4 0.400000 0.358038 0.358038 4.05613e-07 5 0.500000 0.412181 0.412180 4.42187e-07 6 0.600000 0.437309 0.437309 4.44681e-07 7 0.700000 0.422888 0.422888 4.07976e-07 8 0.800000 0.356087 0.356087 3.26231e-07 9 0.900000 0.221364 0.221364 1.92775e-07 10 1.000000 0.000000 0.000000 0 FEM1D_HEAT_STEADY_TEST Normal end of execution. 26 February 2022 06:06:25 PM