Radial basis function and finite element method hybrid approach for three-dimensional electromagnetics problems

This paper presents a Radial Basis Function (RBF) and Finite Element Method (FEM) hybrid approach to solve a 3-D electromagnetic problem. The proposed method divides the entire computational domain into a series of sub-domains. The shape functions of each sub-domain are obtained by point interpolation method based on RBF to improve fitting performance of FEM. Each sub-domain consists of Galerkin FEM elements in the entire computational domain. To validate the proposed method, a case study is carried out based on a dual-electrode DC arc furnace. The results demonstrate that RBF and FEM hybrid approach in this paper is superior to the traditional FEM.