A FINITE ELEMENT METHOD USING SINGULAR FUNCTIONS FOR HELMHOLTZ EQUATIONS : PART Ⅰ

초록

In [7, 8], they proposed a new singular function(NSF) method to compute singu-lar solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularitiesare eliminated and only the regular part of the solution that is inH2 is computed. The stressintensity factor and the solution can be computed as a post processing step. This method wasextended to the interface problem and Poisson equations with the mixed boundary condition.In this paper, we give NSF method for the Helmholtz equations u + Ku = f with homoge-neous Dirichlet boundary condition. Examples with a singular point are given with numerical results.