Firoozjaee, A.R. and Afshar, M.H. (2009) Discrete Least Squares Meshless Method with Sampling Points for the Solution of Elliptic Partial Differential Equations. Engineering Analysis with Boundary Elements, 33, 83-92.
http://dx.doi.org/10.1016/j.enganabound.2008.03.004

has been cited by the following article:

• TITLE: Element Free Gelerkin Method for 2-D Potential Problems

  AUTHORS: Ali Rahmani Firoozjaee, Ehsan Hendi, Farzad Farvizi

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

  JOURNAL NAME: Applied Mathematics, Vol.6 No.1, January 16, 2015

  ABSTRACT: 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.