A Comparison of Point Interpolative Boundary Meshless Method Based on PBF and RBF for Transient Eddy-Current Analysis

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

1497

Lastpage

1500

Abstract

This paper presents the boundary polynomial point interpolation meshless method (BPPIM) and the boundary radial point interpolation meshless method (BRPIM) based on the polynomial basis function (PBF) and radial basis function (RBF), respectively, for transient eddy-current analysis, and their interpolation shape functions satisfy the Kronecker delta function, thus, the essential boundary conditions can be directly imposed on the boundary nodes. An example on analyzing transient eddy current of a square metal column is set to prove the validity of the proposed methods, and a comparison on accuracy between BPPIM and BRPIM is analyzed as well

Keywords

eddy currents; interpolation; polynomials; radial basis function networks; transient analysis; Kronecker delta function; RBF; boundary polynomial point interpolation meshless method; interpolation shape functions; polynomial basis function; radial basis function; square metal column; transient eddy current analysis; transient eddy-current analysis; Boundary conditions; Eddy currents; Educational institutions; Electromagnetic transients; Equations; Interpolation; Polynomials; Robustness; Shape; Transient analysis; Boundary meshless method (BMM); polynomial basis function (PBF); radial basis function (RBF); transient eddy current;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.892475

Filename

4137836