An improved element free Galerkin formulation

An improved formulation of the Element-Free Galerkin Method (EFGM) is presented in this paper. The major shortcoming of the conventional EFGM has been that, due to the use of Moving Least-Squares (MLS) approximation, it does not allow the explicit prescription of boundary conditions. Lagrange multipliers have been employed to circumvent this problem undermining the attractiveness of the method. The proposed EFGM formulation eliminates this shortcoming through the use of a set of MLS interpolants that employ singular weight functions. The validity, accuracy and efficiency of the present formulation are demonstrated through the solution of a variety of example problems.