An extended element free Galerkin method based on moving kriging interpolation for second-order elliptic interface problems

Abstract

The aim of this paper is to introduce an efficient meshless element free Galerkin technique for solving elliptic interface problems. In this work, the second-order elliptic equation with discontinuous coefficients and homogeneous and inhomogeneous jump conditions is considered. Moving kriging interpolation is chosen to construct shape functions in the proposed method. To apply the jump conditions in the weak form of the problem, Nitsche's method is used. Some examples are presented to confirm the effectiveness of the proposed method for interface problems.