Modified weight function with automatic node generation in element-free Galerkin method for magnetic field computation

Element-free Galerkin method (EFGM) is one of the numerical methods which is used for solving partial differential equations with moving least squares interpolations. This method is based on finite-element method (FEM) on an integral formulation requires only a set of nodes distributed on the analysis domain for weight function construction. No element connectivity is needed. The objective of this study is to present a modified weight function including automatic node generation for improvement of the EFGM calculation accuracy. Numerical examples show that the effect of the proposed weight function on results accuracy. Verification of improved EFGM simulation results is done by FEM.