TY  - JOUR
T1  - Parametric Analysis by the Meshless Local Petrov Galerkin (MLPG) Approach Applied to Electromagnetic Problems
AU - , N. Benbouza AU - , F.Z. Louai AU - , S. Drid AU - , A. Benoudjit 
JO  - International Journal of Electrical and Power Engineering
VL  - 1
IS  - 2
SP  - 138
EP  - 145
PY  - 2007
DA  - 2001/08/19
SN  - 1990-7958
DO  - ijepe.2007.138.145
UR  - https://makhillpublications.co/view-article.php?doi=ijepe.2007.138.145
KW  - Moving Least Square (MLS) approximation
KW  -local week form
KW  -weight and test functions
KW  -domain of influence
KW  -gauss integration
KW  -penalty approach
KW  -Meshless Local Petrov Galerkin (MLPG) method
AB  - 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.
ER  -