Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics

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

Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics

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: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We report on experiments with a novel family of Krylov subspace methods for solving dense, complex, non-Hermitian systems of linear equations arising from the Galerkin discretization of surface integral equation models in Electromagnetics. By some experiments on realistic radar-cross-section calculation, we illustrate the numerical efficiency of the proposed class of algorithms also against other popular iterative techniques in use today.

Original language	English
Pages (from-to)	102-111
Number of pages	10
Journal	Applied Computational Electromagnetics Society Journal
Volume	27
Issue number	2
Publication status	Published - Feb 2012

Keywords

Krylov subspace methods
Lanczos biconjugate A-orthonormalization methods
Multilevel fast multipole method
Scattering problems
Sparse approximate inverse preconditioning

Cite this

Carpentieri, B., Jing, Y. F., Huang, T. Z., Pi, W. C., & Sheng, X. Q. (2012). Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics. Applied Computational Electromagnetics Society Journal, 27(2), 102-111.

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title = "Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics",

abstract = "We report on experiments with a novel family of Krylov subspace methods for solving dense, complex, non-Hermitian systems of linear equations arising from the Galerkin discretization of surface integral equation models in Electromagnetics. By some experiments on realistic radar-cross-section calculation, we illustrate the numerical efficiency of the proposed class of algorithms also against other popular iterative techniques in use today.",

keywords = "Krylov subspace methods, Lanczos biconjugate A-orthonormalization methods, Multilevel fast multipole method, Scattering problems, Sparse approximate inverse preconditioning",

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

year = "2012",

month = feb,

language = "English",

volume = "27",

pages = "102--111",

journal = "Applied Computational Electromagnetics Society Journal",

issn = "1054-4887",

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TY - JOUR

T1 - Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics

AU - Carpentieri, Bruno

AU - Jing, Yan Fei

AU - Huang, Ting Zhu

AU - Pi, Wei Chao

AU - Sheng, Xin Qing

PY - 2012/2

Y1 - 2012/2

N2 - We report on experiments with a novel family of Krylov subspace methods for solving dense, complex, non-Hermitian systems of linear equations arising from the Galerkin discretization of surface integral equation models in Electromagnetics. By some experiments on realistic radar-cross-section calculation, we illustrate the numerical efficiency of the proposed class of algorithms also against other popular iterative techniques in use today.

AB - We report on experiments with a novel family of Krylov subspace methods for solving dense, complex, non-Hermitian systems of linear equations arising from the Galerkin discretization of surface integral equation models in Electromagnetics. By some experiments on realistic radar-cross-section calculation, we illustrate the numerical efficiency of the proposed class of algorithms also against other popular iterative techniques in use today.

KW - Krylov subspace methods

KW - Lanczos biconjugate A-orthonormalization methods

KW - Multilevel fast multipole method

KW - Scattering problems

KW - Sparse approximate inverse preconditioning

UR - http://www.scopus.com/inward/record.url?scp=84862092782&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84862092782

SN - 1054-4887

VL - 27

SP - 102

EP - 111

JO - Applied Computational Electromagnetics Society Journal

JF - Applied Computational Electromagnetics Society Journal

IS - 2

ER -

Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics

Abstract

Keywords

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