Locally Corrected Nyström to Moment Method Conversion for Volume Integral Equations

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper, a technique to convert a locally corrected Nyström discretization into a moment method discretization is detailed. The method is general and does not rely directly on any specific relationship between the basis functions used to compute the local corrections and the basis and test functions used in the moment method. The technique is applied to a quasi-magnetostatic volume integral equation for both interpolatory and algebraically constrained moment method bases. Numerical results for a variety of problems in terms of error convergence, system condition number, and degrees-of-freedom are provided.

Original languageEnglish
Article number8641490
JournalIEEE Transactions on Magnetics
Issue number4
StatePublished - Apr 2019

Bibliographical note

Funding Information:
This work was supported by the Office of Naval Research under Grant N00014-15-1-2270 and Grant N00014-16-1-3066.

Publisher Copyright:
© 2019 IEEE.


  • Basis functions
  • constrained bases
  • method of moments (MoM)
  • volume integral equations (VIEs)

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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