A locally corrected Nyström formulation for the magnetostatic volume integral equation

John C. Young; Stephen D. Gedney

doi:10.1109/TMAG.2011.2141144

A locally corrected Nyström formulation for the magnetostatic volume integral equation

John C. Young, Stephen D. Gedney

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

A locally corrected Nyström discretization of the magnetostatic volume integral equation is derived for the analysis of magnetic materials. The integral equation formulation incorporates both higher-order meshes and higher-order basis functions. A set of arbitrary order, hexahedral basis functions are presented. The formulation is applied to a set of canonical problems as well as TEAM Workshop problem number 13. Error convergence with respect to basis function order, mesh density, and mesh order is investigated, and results corroborate the formulation.

Original language	English
Article number	5762350
Pages (from-to)	2163-2170
Number of pages	8
Journal	IEEE Transactions on Magnetics
Volume	47
Issue number	9
DOIs	https://doi.org/10.1109/TMAG.2011.2141144
State	Published - Sep 2011

Bibliographical note

Funding Information:
This research was supported by the Office of Naval Research under Grant N00014-04-1-0485.

Keywords

Integral equation methods
locally corrected Nyström method
magnetostatics

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2011.2141144

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abstract = "A locally corrected Nystr{\"o}m discretization of the magnetostatic volume integral equation is derived for the analysis of magnetic materials. The integral equation formulation incorporates both higher-order meshes and higher-order basis functions. A set of arbitrary order, hexahedral basis functions are presented. The formulation is applied to a set of canonical problems as well as TEAM Workshop problem number 13. Error convergence with respect to basis function order, mesh density, and mesh order is investigated, and results corroborate the formulation.",

keywords = "Integral equation methods, locally corrected Nystr{\"o}m method, magnetostatics",

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AU - Gedney, Stephen D.

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AB - A locally corrected Nyström discretization of the magnetostatic volume integral equation is derived for the analysis of magnetic materials. The integral equation formulation incorporates both higher-order meshes and higher-order basis functions. A set of arbitrary order, hexahedral basis functions are presented. The formulation is applied to a set of canonical problems as well as TEAM Workshop problem number 13. Error convergence with respect to basis function order, mesh density, and mesh order is investigated, and results corroborate the formulation.

KW - Integral equation methods

KW - locally corrected Nyström method

KW - magnetostatics

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A locally corrected Nyström formulation for the magnetostatic volume integral equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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