Well-Conditioned Nyström Discretization of the Volume Integral Equation for Eddy Current Analysis

Author

Young, John C. ; Adams, Robert J. ; Gedney, Stephen D.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA

Volume

51

Issue

2

fYear

2015

fDate

Feb. 2015

Firstpage

1

Lastpage

6

Abstract

A well-conditioned, high-order Nyström discretization of a volume integral equation for quasi-magnetostatic, time-harmonic eddy current analysis of magnetic-conducting materials is presented. Good conditioning is contingent on augmenting the system with a charge neutrality constraint. Two forms of the continuity constraint are discussed. An iterative diagonal preconditioning scheme is applied to greatly improve the condition number. Results are presented for canonical problems and the TEAM Workshop Problem 7.

Keywords

eddy currents; integral equations; iterative methods; magnetostatics; TEAM Workshop Problem 7; canonical problems; charge neutrality constraint; continuity constraint; iterative diagonal preconditioning scheme; magnetic-conducting materials; quasimagnetostatic time-harmonic eddy current analysis; volume integral equation; well-conditioned high-order Nystrom discretization; Convergence; Eddy currents; Geometry; Integral equations; Jacobian matrices; Magnetic resonance imaging; Mathematical model; Eddy currents; integral equation methods; locally corrected Nystr??m (LCN) method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2355780

Filename

6894231