Annals of Management Science


This paper deals with the numerical implementation of the Element-free Galerkin method to solve two dimensional elasto-static problems using the Moving Least Squares (MLS) approximation. The Galerkin weak form is employed to obtain a system of equations, and the Lagrange multipliers method is applied for imposing the boundary conditions. The system of equations is solved using the matrix and the mathematical programming methods. Numerical examples/cases are given to test the efficiency of both methods .However our interest and attention are focused more on investigating whether the second method is more suitable for solving non-linear problems.