A Divergence-Free Meshless Method Based on the Vector Basis Function for Transient Electromagnetic Analysis

Author

Shunchuan Yang ; Zhizhang Chen ; Yiqiang Yu ; Ponomarenko, S.

Author_Institution

Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol., Chengdu, China

Volume

62

Issue

7

fYear

2014

fDate

Jul-14

Firstpage

1409

Lastpage

1416

Abstract

Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.

Keywords

computational electromagnetics; radial basis function networks; transient analysis; RBF based meshless method; divergence-free meshless method; scalar radial basis functions; transient electromagnetic analysis; vector basis function; Equations; Finite difference methods; Magnetic domains; Resonant frequency; Shape; Vectors; Divergence free; meshless; transient analysis; vector radial basis function (RBF);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2014.2322334

Filename

6815781