Basic Study on Element-Free Galerkin Method : 2nd Report, Application to Two-dimensional Potential Problem

Abstract

To introduce a numerical simulation technique for the design sites of industrial products, a "CAD/CAE seamless" system from modeling to computation is desired. A meshless or element-free method is expected to be an effective procedure for realizing such a system, because time-consuming mesh generation processes can be omitted. The element-free Galerkin method (EFGM) proposed by Belytschko et al. is one practical meshless method. This study describes an application of EFGM to solve two-dimensional potential problems. A new methodology of enforcing the essential boundary condition in the EFGM formulation is proposed. Numerical examples are shown and the solutions by EFGM are examined by comparing with exact solutions or those by the conventional FEM.