Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

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Published under licence by IOP Publishing Ltd
, , Citation D J Cedio-Fengya et al 1998 Inverse Problems 14 553 DOI 10.1088/0266-5611/14/3/011

0266-5611/14/3/553

Abstract

We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.

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