PhotonIcs and Electromagnetics Research Symposium,
also known as Progress In Electromagnetics Research Symposium
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Published by The Electromagnetics Academy
Published: 2015-08-28
On the Treatment of Hypersingularity for Solving Volume Integral Equations
By
Mei Song Tong,
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    Mei Song Tong

    Tongji University, China

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Peng Cheng Wang,
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    Peng Cheng Wang

    Tongji University, China

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Xuefeng Yin,
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    Xuefeng Yin

    Tongji University, China

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Junhe Zhou,
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    Junhe Zhou

    Tongji University, China

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Zhi Guo Zhou
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    Zhi Guo Zhou

    Tongji University, China

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)754-757
Abstract
In the meshless scheme for solving volume integral equations (VIEs), one needs to evaluate hypersingular integrals over a small cylindrical domain excluded from the whole domain for the sake of regularizing integrands. Those integrals can be evaluated semi-numerically but the implementation may not be convenient. In this work, we present some new formulas which are purely analytical for those integrals so that their evaluation can be greatly simplified. A numerical example for electromagnetic (EM) scattering is presented to demonstrate the new formulas.
Citation
Mei Song Tong, Peng Cheng Wang, Xuefeng Yin, Junhe Zhou, and Zhi Guo Zhou, "On the Treatment of Hypersingularity for Solving Volume Integral Equations," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)754-757
References

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