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

@article{f05bd0d91bc6433a9e9e9d56b5a43ccb,

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",

publisher = "River Publishers",

number = "2",

}

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 - https://www.scopus.com/pages/publications/84862092782

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

Other files and links

Fingerprint

Cite this