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.