A simple preconditioner for electric-field integral equations

Yongjun Xie; Jiangqi He; Anders Sullivan; Lawrence Carin

doi:10.1002/mop.1218

A simple preconditioner for electric-field integral equations

Yongjun Xie^*
, Jiangqi He
, Anders Sullivan
, Lawrence Carin

^*Corresponding author for this work

Duke University
U.S. Army Research Laboratory

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

A preconditioner is applied to the electric-field integral equation, to improve the convergence of iterative integral-equation solvers, such as the conjugate-gradient (CG) method. The preconditioner accounts for (expansion function)-(testing function) interactions in the vicinity of a given basis function, requiring order N complexity for N unknowns. Example results are presented for microwave scattering calculations for targets in the vicinity of a half space (soil), with results computed via a multilevel fast multipole algorithm.

Original language	English
Pages (from-to)	51-54
Number of pages	4
Journal	Microwave and Optical Technology Letters
Volume	30
Issue number	1
DOIs	https://doi.org/10.1002/mop.1218
State	Published - 2001
Externally published	Yes

Keywords

Conjugate-gradient method
Integral-equation solvers
Numerical methods

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10.1002/mop.1218

Cite this

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abstract = "A preconditioner is applied to the electric-field integral equation, to improve the convergence of iterative integral-equation solvers, such as the conjugate-gradient (CG) method. The preconditioner accounts for (expansion function)-(testing function) interactions in the vicinity of a given basis function, requiring order N complexity for N unknowns. Example results are presented for microwave scattering calculations for targets in the vicinity of a half space (soil), with results computed via a multilevel fast multipole algorithm.",

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AU - Xie, Yongjun

AU - He, Jiangqi

AU - Sullivan, Anders

AU - Carin, Lawrence

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Y1 - 2001

N2 - A preconditioner is applied to the electric-field integral equation, to improve the convergence of iterative integral-equation solvers, such as the conjugate-gradient (CG) method. The preconditioner accounts for (expansion function)-(testing function) interactions in the vicinity of a given basis function, requiring order N complexity for N unknowns. Example results are presented for microwave scattering calculations for targets in the vicinity of a half space (soil), with results computed via a multilevel fast multipole algorithm.

AB - A preconditioner is applied to the electric-field integral equation, to improve the convergence of iterative integral-equation solvers, such as the conjugate-gradient (CG) method. The preconditioner accounts for (expansion function)-(testing function) interactions in the vicinity of a given basis function, requiring order N complexity for N unknowns. Example results are presented for microwave scattering calculations for targets in the vicinity of a half space (soil), with results computed via a multilevel fast multipole algorithm.

KW - Conjugate-gradient method

KW - Integral-equation solvers

KW - Numerical methods

UR - https://www.scopus.com/pages/publications/0035811929

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DO - 10.1002/mop.1218

M3 - 文章

AN - SCOPUS:0035811929

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SP - 51

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JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

IS - 1

ER -

A simple preconditioner for electric-field integral equations

Abstract

Keywords

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