Implementation of MATLAB Quadprog in Meshless Methods

May 18, 2014 Posted by admin

Khadija Khammari and Hicham Fihri Fassi

LERMO, Faculty of Sciences and Technology, Hassan1er University
Box 577 road of Casablanca, Settat, 26000, Morocco

Abstract
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.

Keywords:EFG method, MLS approximation, elasticity, Lagrange multipliers, mathematical programming.

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