A locally corrected Nyström formulation for the magnetostatic volume integral equation

John C. Young, Stephen D. Gedney

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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 languageEnglish
Article number5762350
Pages (from-to)2163-2170
Number of pages8
JournalIEEE Transactions on Magnetics
Issue number9
StatePublished - Sep 2011

Bibliographical note

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


  • 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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