Abstract
A sensitivity analysis scheme for the boundary value problem governed with Poisson equation by using Trefftz method is presented in this paper. An inhomogeneous term of Poisson equation is approximated with the polynomial function to derive the particular solutions. An unknown function is approximated with the superposition of T-complete functions of Laplace equation and the derived particular solutions. So, direct differentiation of the approximate solution leads to the sensitivities. The present scheme is applied to a numerical example.