Author(s)

Ali Rahmani Firoozjaee, Ehsan Hendi, Farzad Farvizi

Faculty of Civil Engineering Department, Babol University of Technology, Babol, Iran.

A meshfree method namely, element free Gelerkin (EFG) method, is presented in this paper for the solution of governing equations of 2-D potential problems. The EFG method is a numerical method which uses nodal points in order to discretize the computational domain, but where the use of connectivity is absent. The unknowns in the problems are approximated by means of connectivity-free technique known as moving least squares (MLS) approximation. The effect of irregular distribution of nodal points on the accuracy of the EFG method is the main goal of this paper as a complement to the precedent researches investigated by proposing an irregularity index (II) in order to analyze some 2-D benchmark examples and the results of sensitivity analysis on the parameters of the method are presented.

Element Free Galerkin (EFG) Method, Potential Problems, Moving Least Squares Approximation, Irregular Distribution of Nodal Points, Irregularity Index

Firoozjaee, A. , Hendi, E. and Farvizi, F. (2015) Element Free Gelerkin Method for 2-D Potential Problems. Applied Mathematics, 6, 149-162. doi: 10.4236/am.2015.61015.