Reconstruction of Small Inclusions in Electrical Impedance Tomography Problems

Reconstruction of Small Inclusions in Electrical Impedance Tomography Problems

Year:    2019

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 280–294

Abstract

An inverse problem to recover small inclusions inside a two-layer structure is considered. Integral representations for the solution of two-layer inhomogeneous conductivity problem are derived and asymptotic expansions of a perturbed electrical field are obtained. Moreover, the uniqueness of the recovery of the locations and conductivities of small inclusions is proved.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.030518.210918

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 2 : pp. 280–294

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Electrical impedance tomography small inclusion inverse problem uniqueness.

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