Well-conditioned nyström discretization of the volume integral equation for Eddy current analysis

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

doi:10.1109/TMAG.2014.2355780

Well-conditioned nyström discretization of the volume integral equation for Eddy current analysis

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

Producción científica: Article › revisión exhaustiva

5 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	1-6
Número de páginas	6
Publicación	IEEE Transactions on Magnetics
Volumen	51
N.º	2
DOI	https://doi.org/10.1109/TMAG.2014.2355780
Estado	Published - feb 1 2015

Nota bibliográfica

Publisher Copyright:
© 1965-2012 IEEE.

Financiación

Financiadores	Número del financiador
Office of Naval Research	N00014-04-1-0625, N00014-14-1-0161

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2014.2355780

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title = "Well-conditioned nystr{\"o}m discretization of the volume integral equation for Eddy current analysis",

abstract = "A well-conditioned, high-order Nystr{\"o}m 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 equation methods, Locally corrected Nystr{\"o}m (LCN) method",

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AU - Young, John C.

AU - Adams, Robert J.

AU - Gedney, Stephen D.

PY - 2015/2/1

Y1 - 2015/2/1

N2 - 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.

AB - 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.

KW - Eddy currents

KW - Integral equation methods

KW - Locally corrected Nyström (LCN) method

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UR - https://www.scopus.com/pages/publications/84930665973#tab=citedBy

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ER -

Well-conditioned nyström discretization of the volume integral equation for Eddy current analysis

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