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Volume 25, Issue 3
Sensitivity Analysis with Respect to the Electrical Conductivity

Habib Ammari, Hyeonbae Kang & Habib Zribi

J. Comp. Math., 25 (2007), pp. 244-251.

Published online: 2007-06

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  • Abstract

In this paper, we consider conductivity inclusions inside a homogeneous background conductor. We provide a complete asymptotic expansion of the solution of such problems in terms of small variations in the electrical conductivity of the inclusion. Our method is based on a boundary integral perturbation theory. Our results are valid for both high and low contrast inclusions.

  • AMS Subject Headings

35B30.

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COPYRIGHT: © Global Science Press

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@Article{JCM-25-244, author = {Habib Ammari, Hyeonbae Kang and Habib Zribi}, title = {Sensitivity Analysis with Respect to the Electrical Conductivity}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {3}, pages = {244--251}, abstract = {

In this paper, we consider conductivity inclusions inside a homogeneous background conductor. We provide a complete asymptotic expansion of the solution of such problems in terms of small variations in the electrical conductivity of the inclusion. Our method is based on a boundary integral perturbation theory. Our results are valid for both high and low contrast inclusions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8690.html} }
TY - JOUR T1 - Sensitivity Analysis with Respect to the Electrical Conductivity AU - Habib Ammari, Hyeonbae Kang & Habib Zribi JO - Journal of Computational Mathematics VL - 3 SP - 244 EP - 251 PY - 2007 DA - 2007/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8690.html KW - High contrast material, Full-asymptotic expansions, Boundary integral equation. AB -

In this paper, we consider conductivity inclusions inside a homogeneous background conductor. We provide a complete asymptotic expansion of the solution of such problems in terms of small variations in the electrical conductivity of the inclusion. Our method is based on a boundary integral perturbation theory. Our results are valid for both high and low contrast inclusions.

Habib Ammari, Hyeonbae Kang and Habib Zribi. (2007). Sensitivity Analysis with Respect to the Electrical Conductivity. Journal of Computational Mathematics. 25 (3). 244-251. doi:
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