On the formulations of the boundary integral equations for scattering by homogeneous bodies

Yue Qian Wu; Xin Qing Sheng; Xiao Min Pan

On the formulations of the boundary integral equations for scattering by homogeneous bodies

Yue Qian Wu, Xin Qing Sheng^*, Xiao Min Pan

^*Corresponding author for this work

Beijing Institute of Technology

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

1 Citation (Scopus)

Abstract

The accuracy and efficiency of different combination forms of integral equations has been well studied for homogenous bodies in the literature. However, the effect of the combination coefficients on accuracy and efficiency has little investigated for these different combination formulations so far. This paper gives a systematic and numerical study on this problem, i.e. how and why the combination coefficients affect the accuracy and efficiency in the different combination formulations. A general principle of choosing combination coefficients is also presented in this paper. An optimized combination coefficient is proposed for the JMCFIE, which has been confirmed to be a good combination formulation for homogenous bodies. Numerical experiments confirm that the optimized JMCFIE (O-JMCFIE) has fast convergence over the conventional JMCFIE (C-JMCFIE) when maintaining the same accuracy.

Original language	English
Pages (from-to)	952-955
Number of pages	4
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	31
Issue number	8
Publication status	Published - Aug 2011

Keywords

Electromagnetic scattering
Homogeneous bodies
Moment methods
Surface integral equations

Cite this

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abstract = "The accuracy and efficiency of different combination forms of integral equations has been well studied for homogenous bodies in the literature. However, the effect of the combination coefficients on accuracy and efficiency has little investigated for these different combination formulations so far. This paper gives a systematic and numerical study on this problem, i.e. how and why the combination coefficients affect the accuracy and efficiency in the different combination formulations. A general principle of choosing combination coefficients is also presented in this paper. An optimized combination coefficient is proposed for the JMCFIE, which has been confirmed to be a good combination formulation for homogenous bodies. Numerical experiments confirm that the optimized JMCFIE (O-JMCFIE) has fast convergence over the conventional JMCFIE (C-JMCFIE) when maintaining the same accuracy.",

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T1 - On the formulations of the boundary integral equations for scattering by homogeneous bodies

AU - Wu, Yue Qian

AU - Sheng, Xin Qing

AU - Pan, Xiao Min

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N2 - The accuracy and efficiency of different combination forms of integral equations has been well studied for homogenous bodies in the literature. However, the effect of the combination coefficients on accuracy and efficiency has little investigated for these different combination formulations so far. This paper gives a systematic and numerical study on this problem, i.e. how and why the combination coefficients affect the accuracy and efficiency in the different combination formulations. A general principle of choosing combination coefficients is also presented in this paper. An optimized combination coefficient is proposed for the JMCFIE, which has been confirmed to be a good combination formulation for homogenous bodies. Numerical experiments confirm that the optimized JMCFIE (O-JMCFIE) has fast convergence over the conventional JMCFIE (C-JMCFIE) when maintaining the same accuracy.

AB - The accuracy and efficiency of different combination forms of integral equations has been well studied for homogenous bodies in the literature. However, the effect of the combination coefficients on accuracy and efficiency has little investigated for these different combination formulations so far. This paper gives a systematic and numerical study on this problem, i.e. how and why the combination coefficients affect the accuracy and efficiency in the different combination formulations. A general principle of choosing combination coefficients is also presented in this paper. An optimized combination coefficient is proposed for the JMCFIE, which has been confirmed to be a good combination formulation for homogenous bodies. Numerical experiments confirm that the optimized JMCFIE (O-JMCFIE) has fast convergence over the conventional JMCFIE (C-JMCFIE) when maintaining the same accuracy.

KW - Electromagnetic scattering

KW - Homogeneous bodies

KW - Moment methods

KW - Surface integral equations

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JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

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On the formulations of the boundary integral equations for scattering by homogeneous bodies

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Keywords

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