NUMERICAL ANALYSIS OF ELECTROMAGNETIC AXISYMMETRIC PROBLEMS USING ELEMENT FREE GALERKIN METHOD

Fatima-Zohra Louaï - Nasreddine Naït-Saïd - Said Drid

   The element free Galerkin method (EFGM) is a method for solving partial differential equations with moving least squares interpolants. This method, based as the finite element method on an integral formulation, requires only a set of nodes distributed on the analysis area for the construction of the shape functions, no element connectivity is needed. The objective of this paper is to present the application of EFGM to axisymmetric electromagnetic problems which describe wide types of induction heating device. A non-uniform nodal distribution algorithm is developed. Numerical examples show the effect of the nodal distribution (uniform or non-uniform distribution) on the solution. The results compared to the finite element method (FEM) show the accuracy and the power of the developed algorithm.

Keywords: element free Galerkin method (EFGM), moving least square (MLS) method, weight function, influence domain, non-uniform nodal distribution

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