Binormalized factorizations for magnetostatic integral equations

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

doi:10.1109/APUSNCURSINRSM.2019.8888827

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 proceeding › Conference contribution › peer-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 language	English
Title of host publication	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings
Pages	1669-1670
Number of pages	2
ISBN (Electronic)	9781728106922
DOIs	https://doi.org/10.1109/APUSNCURSINRSM.2019.8888827
State	Published - Jul 2019
Event	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Atlanta, United States Duration: Jul 7 2019 → Jul 12 2019

Publication series

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

Conference

Conference	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019
Country/Territory	United States
City	Atlanta
Period	7/7/19 → 7/12/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Funding

This work was supported in part by the Office of Naval Research under Grant N00014-16-1-3066.

Funders	Funder number
Office of Naval Research	N00014-16-1-3066

Keywords

Magnetostatic fields
Nyström methods
Sparse solvers

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Instrumentation

Access to Document

10.1109/APUSNCURSINRSM.2019.8888827

Cite this

Adams, R. J., Wilkerson, O. T., Young, J. C., & Gedney, S. D. (2019). Binormalized factorizations for magnetostatic integral equations. In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings (pp. 1669-1670). Article 8888827 (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings). https://doi.org/10.1109/APUSNCURSINRSM.2019.8888827

Adams, R. J. ; Wilkerson, O. T. ; Young, J. C. et al. / Binormalized factorizations for magnetostatic integral equations. 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. 2019. pp. 1669-1670 (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings).

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author = "Adams, {R. J.} and Wilkerson, {O. T.} and Young, {J. C.} and Gedney, {S. D.}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 ; Conference date: 07-07-2019 Through 12-07-2019",

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Adams, RJ, Wilkerson, OT, Young, JC & Gedney, SD 2019, Binormalized factorizations for magnetostatic integral equations. in 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings., 8888827, 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings, pp. 1669-1670, 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019, Atlanta, United States, 7/7/19. https://doi.org/10.1109/APUSNCURSINRSM.2019.8888827

Binormalized factorizations for magnetostatic integral equations. / Adams, R. J.; Wilkerson, O. T.; Young, J. C. et al.
2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. 2019. p. 1669-1670 8888827 (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Adams RJ, Wilkerson OT, Young JC, Gedney SD. Binormalized factorizations for magnetostatic integral equations. In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings. 2019. p. 1669-1670. 8888827. (2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings). doi: 10.1109/APUSNCURSINRSM.2019.8888827

Binormalized factorizations for magnetostatic integral equations

Abstract

Publication series

Conference

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

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