A comparative study of Calderón preconditioners for PMCHWT equations

Su Yan; Jian Ming Jin; Zaiping Nie

doi:10.1109/TAP.2010.2048881

A comparative study of Calderón preconditioners for PMCHWT equations

Su Yan, Jian Ming Jin, Zaiping Nie

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

Abstract

The Calderón identities are used to precondition the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations for wave scattering by dielectric objects. Based on the Calderón identities, several versions of preconditioners are presented and studied. The memory requirements and computational costs of different preconditioners are analyzed and discussed. The convergence properties of the iterative solutions and the solution accuracy of the Calderón preconditioned PMCHWT equations are also investigated and compared theoretically and numerically at different frequencies. With the help of the Calderón preconditioners, the convergence rate of the iterative solutions of the PMCHWT equations is significantly improved. Several numerical examples are given to show the performance of the Calderón preconditioners and to draw some conclusions.

Original language	English (US)
Article number	5454307
Pages (from-to)	2375-2383
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	58
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2010.2048881
State	Published - Jul 2010

Keywords

Calderón preconditioner
Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations
electromagnetic scattering
method of moments (MoM)
numerical analysis

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TAP.2010.2048881

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title = "A comparative study of Calder{\'o}n preconditioners for PMCHWT equations",

abstract = "The Calder{\'o}n identities are used to precondition the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations for wave scattering by dielectric objects. Based on the Calder{\'o}n identities, several versions of preconditioners are presented and studied. The memory requirements and computational costs of different preconditioners are analyzed and discussed. The convergence properties of the iterative solutions and the solution accuracy of the Calder{\'o}n preconditioned PMCHWT equations are also investigated and compared theoretically and numerically at different frequencies. With the help of the Calder{\'o}n preconditioners, the convergence rate of the iterative solutions of the PMCHWT equations is significantly improved. Several numerical examples are given to show the performance of the Calder{\'o}n preconditioners and to draw some conclusions.",

keywords = "Calder{\'o}n preconditioner, Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations, electromagnetic scattering, method of moments (MoM), numerical analysis",

author = "Su Yan and Jin, {Jian Ming} and Zaiping Nie",

note = "Funding Information: Manuscript received November 01, 2009; revised January 18, 2010; accepted January 31, 2010. Date of publication April 26, 2010; date of current version July 08, 2010. This work was supported in part by the China Scholarship Council (CSC), the National Science Foundation of China (NSFC) under Contract No. 60728101, and in part by the 111 Project under Contract No. B07046.",

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doi = "10.1109/TAP.2010.2048881",

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AU - Yan, Su

AU - Jin, Jian Ming

AU - Nie, Zaiping

N1 - Funding Information: Manuscript received November 01, 2009; revised January 18, 2010; accepted January 31, 2010. Date of publication April 26, 2010; date of current version July 08, 2010. This work was supported in part by the China Scholarship Council (CSC), the National Science Foundation of China (NSFC) under Contract No. 60728101, and in part by the 111 Project under Contract No. B07046.

PY - 2010/7

Y1 - 2010/7

N2 - The Calderón identities are used to precondition the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations for wave scattering by dielectric objects. Based on the Calderón identities, several versions of preconditioners are presented and studied. The memory requirements and computational costs of different preconditioners are analyzed and discussed. The convergence properties of the iterative solutions and the solution accuracy of the Calderón preconditioned PMCHWT equations are also investigated and compared theoretically and numerically at different frequencies. With the help of the Calderón preconditioners, the convergence rate of the iterative solutions of the PMCHWT equations is significantly improved. Several numerical examples are given to show the performance of the Calderón preconditioners and to draw some conclusions.

AB - The Calderón identities are used to precondition the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations for wave scattering by dielectric objects. Based on the Calderón identities, several versions of preconditioners are presented and studied. The memory requirements and computational costs of different preconditioners are analyzed and discussed. The convergence properties of the iterative solutions and the solution accuracy of the Calderón preconditioned PMCHWT equations are also investigated and compared theoretically and numerically at different frequencies. With the help of the Calderón preconditioners, the convergence rate of the iterative solutions of the PMCHWT equations is significantly improved. Several numerical examples are given to show the performance of the Calderón preconditioners and to draw some conclusions.

KW - Calderón preconditioner

KW - Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations

KW - electromagnetic scattering

KW - method of moments (MoM)

KW - numerical analysis

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A comparative study of Calderón preconditioners for PMCHWT equations

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