Abstract
In this contribution, we consider a topological derivative-based non-iterative technique for an inverse conductivity problem of localizing a small-conductivity inclusion completely embedded in a homogeneous domain via boundary measurement data. For this purpose, we derive the topological derivative by applying an asymptotic formula in the presence of a small-diameter conductivity inclusion and establish a mathematical structure of topological derivative. On the basis of the established structure, we propose a new imaging function with appropriate boundary conditions. Results of numerical simulation are presented to show the feasibility and limitations of the designed imaging function.
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