Authors : N. Benbouza , F.Z. Louai , S. Drid and A. Benoudjit
Abstract: Meshless or element free methods are a new class of numerical techniques as alternatives to the popular Finite Element Method (FEM) for solving partial differential equations. The solution is entirely built in terms of a set of distributed nodes, thus no element connectivity is required. The meshless local Petrov-Galerkin method based on the moving least squares approximation is one of the recent meshless approaches. By a judicious choice of the test and trial functions, a weighted residual form is applied to a local sub-domain and makes the method truly meshless. In this study, the method is presented to study electromagnetic field problems both in one-Dimensional (1D) and two-Dimensional (2D). The formulations were implemented using a penalty approach to enforce essential boundary conditions. The sensitivity of several parameters of the method was mainly studied and discussed by comparing results with those calculated using the difference finite method. Very accurate solutions could be obtained by a judicious choice of these parameters.
N. Benbouza , F.Z. Louai , S. Drid and A. Benoudjit , 2007. Parametric Analysis by the Meshless Local Petrov Galerkin (MLPG) Approach Applied to Electromagnetic Problems. International Journal of Electrical and Power Engineering, 1: 138-145.