An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems

Chung Hyun Lee; Jin Fa Lee; William L. Langston; Brian Zinser; Vinh Q. Dang; Andy Huang; Salvatore Campione

doi:10.1109/IEEECONF35879.2020.9330002

An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems

Chung Hyun Lee, Jin Fa Lee, William L. Langston, Brian Zinser, Vinh Q. Dang, Andy Huang, Salvatore Campione

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

2 Scopus citations

Abstract

This paper implemented an approximate direct inverse for the surface integral equation including multilevel fast-multipole method. We apply it as a preconditioner to two examples suffering convergence problem with an iterative solver.

Original language	English
Title of host publication	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1041-1042
Number of pages	2
ISBN (Electronic)	9781728166704
DOIs	https://doi.org/10.1109/IEEECONF35879.2020.9330002
State	Published - Jul 5 2020
Externally published	Yes
Event	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Virtually, Toronto, Canada Duration: Jul 5 2020 → Jul 10 2020

Publication series

Name	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings

Conference

Conference	2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020
Country/Territory	Canada
City	Virtually, Toronto
Period	07/5/20 → 07/10/20

Access to Document

10.1109/IEEECONF35879.2020.9330002

Cite this

Lee, C. H., Lee, J. F., Langston, W. L., Zinser, B., Dang, V. Q., Huang, A., & Campione, S. (2020). An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems. In 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings (pp. 1041-1042). Article 9330002 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IEEECONF35879.2020.9330002

Lee, Chung Hyun ; Lee, Jin Fa ; Langston, William L. et al. / An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems. 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 1041-1042 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings).

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title = "An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems",

abstract = "This paper implemented an approximate direct inverse for the surface integral equation including multilevel fast-multipole method. We apply it as a preconditioner to two examples suffering convergence problem with an iterative solver.",

author = "Lee, \{Chung Hyun\} and Lee, \{Jin Fa\} and Langston, \{William L.\} and Brian Zinser and Dang, \{Vinh Q.\} and Andy Huang and Salvatore Campione",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 ; Conference date: 05-07-2020 Through 10-07-2020",

year = "2020",

month = jul,

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doi = "10.1109/IEEECONF35879.2020.9330002",

language = "English",

series = "2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings",

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Lee, CH, Lee, JF, Langston, WL, Zinser, B, Dang, VQ, Huang, A & Campione, S 2020, An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems. in 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings., 9330002, 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 1041-1042, 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020, Virtually, Toronto, Canada, 07/5/20. https://doi.org/10.1109/IEEECONF35879.2020.9330002

An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems. / Lee, Chung Hyun; Lee, Jin Fa; Langston, William L. et al.
2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2020. p. 1041-1042 9330002 (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings).

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

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AU - Lee, Chung Hyun

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AU - Langston, William L.

AU - Zinser, Brian

AU - Dang, Vinh Q.

AU - Huang, Andy

AU - Campione, Salvatore

PY - 2020/7/5

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N2 - This paper implemented an approximate direct inverse for the surface integral equation including multilevel fast-multipole method. We apply it as a preconditioner to two examples suffering convergence problem with an iterative solver.

AB - This paper implemented an approximate direct inverse for the surface integral equation including multilevel fast-multipole method. We apply it as a preconditioner to two examples suffering convergence problem with an iterative solver.

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DO - 10.1109/IEEECONF35879.2020.9330002

M3 - Conference contribution

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T3 - 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings

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BT - 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings

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Lee CH, Lee JF, Langston WL, Zinser B, Dang VQ, Huang A et al. An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems. In 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2020. p. 1041-1042. 9330002. (2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, IEEECONF 2020 - Proceedings). doi: 10.1109/IEEECONF35879.2020.9330002

An Approximate Direct Inverse as a Preconditioner for Ill-conditioned Problems

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