Binormalized factorizations for magnetostatic integral equations

R. J. Adams, O. T. Wilkerson, J. C. Young, S. D. Gedney

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Localization-based sparse direct solvers provide a general framework for preconditioning sparse representations of integral equation formulations of magnetostatic field problems. However, problems involving complex meshes and geometries often lead to poorly conditioned system matrices. In some cases, localization-based preconditioners fail to yield convergent iterative solutions for these matrices. In this presentation it is shown that incorporating a multilevel matrix binormalization significantly increases the effectiveness of localization-based preconditioners.

Original languageEnglish
Title of host publication2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings
Pages1669-1670
Number of pages2
ISBN (Electronic)9781728106922
DOIs
StatePublished - Jul 2019
Event2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Atlanta, United States
Duration: Jul 7 2019Jul 12 2019

Publication series

Name2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings

Conference

Conference2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019
Country/TerritoryUnited States
CityAtlanta
Period7/7/197/12/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Keywords

  • Magnetostatic fields
  • Nyström methods
  • Sparse solvers

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Signal Processing
  • Instrumentation

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