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Volume 25, Issue 2
Anisotropic Polarization Tensors for Ellipses and Ellipsoids

Hyeonbae Kang & Kyoungsun Kim

J. Comp. Math., 25 (2007), pp. 157-168.

Published online: 2007-04

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  • Abstract

In this paper we present a systematic way of computing the polarization tensors, anisotropic as well as isotropic, based on the boundary integral method. We then use this method to compute the anisotropic polarization tensor for ellipses and ellipsoids. The computation reveals the pair of anisotropy and ellipses which produce the same polarization tensors.

  • Keywords

Anisotropic polarization tensor, Integral equation, Ellipsoid.

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COPYRIGHT: © Global Science Press

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@Article{JCM-25-157, author = {Hyeonbae Kang and Kyoungsun Kim}, title = {Anisotropic Polarization Tensors for Ellipses and Ellipsoids}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {2}, pages = {157--168}, abstract = {

In this paper we present a systematic way of computing the polarization tensors, anisotropic as well as isotropic, based on the boundary integral method. We then use this method to compute the anisotropic polarization tensor for ellipses and ellipsoids. The computation reveals the pair of anisotropy and ellipses which produce the same polarization tensors.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8682.html} }
TY - JOUR T1 - Anisotropic Polarization Tensors for Ellipses and Ellipsoids AU - Hyeonbae Kang & Kyoungsun Kim JO - Journal of Computational Mathematics VL - 2 SP - 157 EP - 168 PY - 2007 DA - 2007/04 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8682.html KW - Anisotropic polarization tensor, Integral equation, Ellipsoid. AB -

In this paper we present a systematic way of computing the polarization tensors, anisotropic as well as isotropic, based on the boundary integral method. We then use this method to compute the anisotropic polarization tensor for ellipses and ellipsoids. The computation reveals the pair of anisotropy and ellipses which produce the same polarization tensors.

Hyeonbae Kang and Kyoungsun Kim. (2007). Anisotropic Polarization Tensors for Ellipses and Ellipsoids. Journal of Computational Mathematics. 25 (2). 157-168. doi:
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