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

Article type: Research Article

Authors: Han, Xiaoming^a | Liu, Zheng^a | Li, Guofeng^a; | Wang, Zhen^a | Wu, Ziku^b | Wu, Yan^a

Affiliations: [a] School of Electrical Engineering, Dalian University of Technology, Dalian, China | [b] Science and Information College, Qingdao Agricultural University, Qingdao, China

Correspondence: [*] Corresponding author: Guofeng Li, School of Electrical Engineering, Dalian University of Technology, No. 2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, 116024, P.R. China. Tel.: +86 411 84706489; Fax: +86 411 84706489; E-mail: guofenli@dlut.edu.cn

Abstract: 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.

Keywords: Finite element method, radial basis function, magnetic vector potential, three dimensional (3-D)

DOI: 10.3233/JAE-180059

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 60, no. 3, pp. 445-455, 2019