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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.

  • Keywords

High contrast material, Full-asymptotic expansions, Boundary integral equation.

  • AMS Subject Headings

35B30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-244, author = {}, 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 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 & Habib Zribi. (1970). Sensitivity Analysis with Respect to the Electrical Conductivity. Journal of Computational Mathematics. 25 (3). 244-251. doi:
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