Sensitivity Analysis with Respect to the Electrical Conductivity

Sensitivity Analysis with Respect to the Electrical Conductivity

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8690

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 3 : pp. 244–251

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    High contrast material Full-asymptotic expansions Boundary integral equation.