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

Producción científica: Conference contribution › revisión exhaustiva

Resumen

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.

Idioma original	English
Título de la publicación alojada	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings
Páginas	1669-1670
Número de páginas	2
ISBN (versión digital)	9781728106922
DOI	https://doi.org/10.1109/APUSNCURSINRSM.2019.8888827
Estado	Published - jul 2019
Evento	2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Atlanta, United States Duración: jul 7 2019 → jul 12 2019

Serie de la publicación

Nombre	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
País/Territorio	United States
Ciudad	Atlanta
Período	7/7/19 → 7/12/19

Nota bibliográfica

Publisher Copyright:
© 2019 IEEE.

Financiación

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

Financiadores	Número del financiador
Office of Naval Research	N00014-16-1-3066

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Instrumentation

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10.1109/APUSNCURSINRSM.2019.8888827

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Adams, R. J., Wilkerson, O. T., Young, J. C., & Gedney, S. D. (2019). Binormalized factorizations for magnetostatic integral equations. En 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, APSURSI 2019 - Proceedings (pp. 1669-1670). Artículo 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).

@inproceedings{1f794c491e0145cbb2d54020b0819552,

title = "Binormalized factorizations for magnetostatic integral equations",

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.",

keywords = "Magnetostatic fields, Nystr{\"o}m methods, Sparse solvers",

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",

year = "2019",

month = jul,

doi = "10.1109/APUSNCURSINRSM.2019.8888827",

language = "English",

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

pages = "1669--1670",

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Adams, RJ, Wilkerson, OT, Young, JC & Gedney, SD 2019, Binormalized factorizations for magnetostatic integral equations. En 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).

Producción científica: Conference contribution › revisión exhaustiva

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Adams RJ, Wilkerson OT, Young JC, Gedney SD. Binormalized factorizations for magnetostatic integral equations. En 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

Resumen

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Conference

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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