An Improved Multiquadric Collocation Method for 3-D Electromagnetic Problems

Author

Zhang, Yong ; Shao, K.R. ; Guo, Youguang ; Zhu, Jianguo ; Xie, D.X. ; Lavers, J.D.

Author_Institution

Huazhong Univ. of Sci. & Technol., Wuhan

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1509

Lastpage

1512

Abstract

The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions. It was introduced for solving many 1- and 2-D partial differential equations (PDEs), including linear and nonlinear problems. However, few works are found for electromagnetic PDEs, especially for 3-D problems. This paper presents an improved MQ collocation method for 3-D electromagnetic problems. Numerical results show a considerable improvement in accuracy over the traditional MQ collocation method, although both methods are direct collocation method with exponential convergence

Keywords

computational electromagnetics; partial differential equations; radial basis function networks; 3D electromagnetic problems; exponential convergence; global basis functions; linear-nonlinear problems; multiquadratic radial basis function method; multiquadric collocation method; partial differential equations; Clouds; Computational efficiency; Computational geometry; Convergence of numerical methods; Educational institutions; Finite element methods; Laplace equations; Partial differential equations; Shape; Solid modeling; 3-D problems; Meshless method; multiquadric;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892479

Filename

4137837