An Extended Element Free Galerkin Method Based on Moving Kriging Interpolation for Second-Order Elliptic Interface Problems

The aim of this paper is to introduce an effcient meshless element free Galerkin technique for solving elliptic interface problems. In this work, the second-order elliptic equation with discontinuous co- effcients and homogeneous and nonhomogeneous 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 conrm the effectiveness of the proposed method for interface problems.