Fast direct solution of volume integral equations based on skeletonization by method of moments

Ming Ming Xu; Yan Nan Liu; Xiao Min Pan; Xin Qing Sheng

doi:10.1109/COMPEM.2016.7588648

Fast direct solution of volume integral equations based on skeletonization by method of moments

Ming Ming Xu, Yan Nan Liu, Xiao Min Pan, Xin Qing Sheng

Beijing Institute of Technology

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

Abstract

The fast direct solver based on skeletonization is extended to the method of moments (MoM) solution of volume integral equations (VIE). The impedance matrix is approximated by the hierarchical data sparse representation through skeletonization. The inverse matrix is then implicitly computed. Numerical experiments are conducted to study the performance of the direct solver.

Original language	English
Title of host publication	ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	322-324
Number of pages	3
ISBN (Electronic)	9781467396783
DOIs	https://doi.org/10.1109/COMPEM.2016.7588648
Publication status	Published - 11 Oct 2016
Event	2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016 - Guangzhou, China Duration: 23 Feb 2016 → 25 Feb 2016

Publication series

Name	Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics

Conference

Conference	2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016
Country/Territory	China
City	Guangzhou
Period	23/02/16 → 25/02/16

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10.1109/COMPEM.2016.7588648

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Xu, M. M., Liu, Y. N., Pan, X. M., & Sheng, X. Q. (2016). Fast direct solution of volume integral equations based on skeletonization by method of moments. In ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics (pp. 322-324). Article 7588648 (Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/COMPEM.2016.7588648

Xu, Ming Ming ; Liu, Yan Nan ; Pan, Xiao Min et al. / Fast direct solution of volume integral equations based on skeletonization by method of moments. ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 322-324 (Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics).

@inproceedings{09bcb5cd11954d0abf9d0cee72b16389,

title = "Fast direct solution of volume integral equations based on skeletonization by method of moments",

abstract = "The fast direct solver based on skeletonization is extended to the method of moments (MoM) solution of volume integral equations (VIE). The impedance matrix is approximated by the hierarchical data sparse representation through skeletonization. The inverse matrix is then implicitly computed. Numerical experiments are conducted to study the performance of the direct solver.",

author = "Xu, {Ming Ming} and Liu, {Yan Nan} and Pan, {Xiao Min} and Sheng, {Xin Qing}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016 ; Conference date: 23-02-2016 Through 25-02-2016",

year = "2016",

month = oct,

day = "11",

doi = "10.1109/COMPEM.2016.7588648",

language = "English",

series = "Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics",

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

pages = "322--324",

booktitle = "ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics",

address = "United States",

}

Xu, MM, Liu, YN, Pan, XM & Sheng, XQ 2016, Fast direct solution of volume integral equations based on skeletonization by method of moments. in ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics., 7588648, Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics, Institute of Electrical and Electronics Engineers Inc., pp. 322-324, 2016 IEEE International Conference on Computational Electromagnetics, ICCEM 2016, Guangzhou, China, 23/02/16. https://doi.org/10.1109/COMPEM.2016.7588648

Fast direct solution of volume integral equations based on skeletonization by method of moments. / Xu, Ming Ming; Liu, Yan Nan; Pan, Xiao Min et al.
ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers Inc., 2016. p. 322-324 7588648 (Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics).

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

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AB - The fast direct solver based on skeletonization is extended to the method of moments (MoM) solution of volume integral equations (VIE). The impedance matrix is approximated by the hierarchical data sparse representation through skeletonization. The inverse matrix is then implicitly computed. Numerical experiments are conducted to study the performance of the direct solver.

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Xu MM, Liu YN, Pan XM, Sheng XQ. Fast direct solution of volume integral equations based on skeletonization by method of moments. In ICCEM 2016 - 2016 IEEE International Conference on Computational Electromagnetics. Institute of Electrical and Electronics Engineers Inc. 2016. p. 322-324. 7588648. (Call for Papers - ICCEM 2016: 2016 IEEE International Conference on Computational Electromagnetics). doi: 10.1109/COMPEM.2016.7588648

Fast direct solution of volume integral equations based on skeletonization by method of moments

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