A novel family of iterative solvers for method of moments discretizations of maxwell's equations

Bruno Carpentieri; Yan Fei Jing; Ting Zhu Huang; Wei Chao Pi; Xin Qing Sheng

doi:10.1109/CEM.2011.6047336

A novel family of iterative solvers for method of moments discretizations of maxwell's equations

Bruno Carpentieri^*, Yan Fei Jing, Ting Zhu Huang, Wei Chao Pi, Xin Qing Sheng

^*Corresponding author for this work

School of Integrated Circuits and Electronics

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

5 Citations (Scopus)

Abstract

Boundary element discretizations of surface and hybrid surface/volume formulations of electromagnetic scattering problems generate large and dense systems of linear equations that are tough to solve by iterative techniques. The restarted generalized minimal residual (GMRES) method is virtually always used when the systems are non-Hermitian and indefinite. However, it may be prohibitively expensive especially for large scale out-of-core integral codes. We present experiments with a novel class of iterative methods that have constant, low memory and algorithmic cost per iteration. The results on some selected matrix problems arising from realistic radar-cross-section calculation indicate that the new family of algorithms is amazingly competitive with the most popular iterative techniques in use today for solving linear systems.

Original language	English
Title of host publication	2011 Computational Electromagnetics International Workshop, CEM'11
Pages	85-90
Number of pages	6
DOIs	https://doi.org/10.1109/CEM.2011.6047336
Publication status	Published - 2011
Event	2011 Computational Electromagnetics International Workshop, CEM'11 - Izmir, Turkey Duration: 10 Aug 2011 → 13 Aug 2011

Publication series

Name	2011 Computational Electromagnetics International Workshop, CEM'11

Conference

Conference	2011 Computational Electromagnetics International Workshop, CEM'11
Country/Territory	Turkey
City	Izmir
Period	10/08/11 → 13/08/11

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10.1109/CEM.2011.6047336

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Carpentieri, B., Jing, Y. F., Huang, T. Z., Pi, W. C., & Sheng, X. Q. (2011). A novel family of iterative solvers for method of moments discretizations of maxwell's equations. In 2011 Computational Electromagnetics International Workshop, CEM'11 (pp. 85-90). Article 6047336 (2011 Computational Electromagnetics International Workshop, CEM'11). https://doi.org/10.1109/CEM.2011.6047336

@inproceedings{92f09df333334391b65d5383c9469770,

title = "A novel family of iterative solvers for method of moments discretizations of maxwell's equations",

abstract = "Boundary element discretizations of surface and hybrid surface/volume formulations of electromagnetic scattering problems generate large and dense systems of linear equations that are tough to solve by iterative techniques. The restarted generalized minimal residual (GMRES) method is virtually always used when the systems are non-Hermitian and indefinite. However, it may be prohibitively expensive especially for large scale out-of-core integral codes. We present experiments with a novel class of iterative methods that have constant, low memory and algorithmic cost per iteration. The results on some selected matrix problems arising from realistic radar-cross-section calculation indicate that the new family of algorithms is amazingly competitive with the most popular iterative techniques in use today for solving linear systems.",

author = "Bruno Carpentieri and Jing, {Yan Fei} and Huang, {Ting Zhu} and Pi, {Wei Chao} and Sheng, {Xin Qing}",

year = "2011",

doi = "10.1109/CEM.2011.6047336",

language = "English",

isbn = "9781457716874",

series = "2011 Computational Electromagnetics International Workshop, CEM'11",

pages = "85--90",

booktitle = "2011 Computational Electromagnetics International Workshop, CEM'11",

note = "2011 Computational Electromagnetics International Workshop, CEM'11 ; Conference date: 10-08-2011 Through 13-08-2011",

}

Carpentieri, B, Jing, YF, Huang, TZ, Pi, WC & Sheng, XQ 2011, A novel family of iterative solvers for method of moments discretizations of maxwell's equations. in 2011 Computational Electromagnetics International Workshop, CEM'11., 6047336, 2011 Computational Electromagnetics International Workshop, CEM'11, pp. 85-90, 2011 Computational Electromagnetics International Workshop, CEM'11, Izmir, Turkey, 10/08/11. https://doi.org/10.1109/CEM.2011.6047336

A novel family of iterative solvers for method of moments discretizations of maxwell's equations. / Carpentieri, Bruno; Jing, Yan Fei; Huang, Ting Zhu et al.
2011 Computational Electromagnetics International Workshop, CEM'11. 2011. p. 85-90 6047336 (2011 Computational Electromagnetics International Workshop, CEM'11).

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

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T1 - A novel family of iterative solvers for method of moments discretizations of maxwell's equations

AU - Carpentieri, Bruno

AU - Jing, Yan Fei

AU - Huang, Ting Zhu

AU - Pi, Wei Chao

AU - Sheng, Xin Qing

PY - 2011

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N2 - Boundary element discretizations of surface and hybrid surface/volume formulations of electromagnetic scattering problems generate large and dense systems of linear equations that are tough to solve by iterative techniques. The restarted generalized minimal residual (GMRES) method is virtually always used when the systems are non-Hermitian and indefinite. However, it may be prohibitively expensive especially for large scale out-of-core integral codes. We present experiments with a novel class of iterative methods that have constant, low memory and algorithmic cost per iteration. The results on some selected matrix problems arising from realistic radar-cross-section calculation indicate that the new family of algorithms is amazingly competitive with the most popular iterative techniques in use today for solving linear systems.

AB - Boundary element discretizations of surface and hybrid surface/volume formulations of electromagnetic scattering problems generate large and dense systems of linear equations that are tough to solve by iterative techniques. The restarted generalized minimal residual (GMRES) method is virtually always used when the systems are non-Hermitian and indefinite. However, it may be prohibitively expensive especially for large scale out-of-core integral codes. We present experiments with a novel class of iterative methods that have constant, low memory and algorithmic cost per iteration. The results on some selected matrix problems arising from realistic radar-cross-section calculation indicate that the new family of algorithms is amazingly competitive with the most popular iterative techniques in use today for solving linear systems.

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BT - 2011 Computational Electromagnetics International Workshop, CEM'11

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Y2 - 10 August 2011 through 13 August 2011

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A novel family of iterative solvers for method of moments discretizations of maxwell's equations

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