Location search algorithm of thin conductivity inclusions via boundary measurements

Free access article

Issue		ESAIM: PROC Volume 26, 2009 Mathematical methods for imaging and inverse problems


Page(s)		217 - 229
DOI		10.1051/proc/2009015
Published online		25 April 2009

ESAIM: Proc., 2009, Vol. 26, pp. 217-229
DOI: 10.1051/proc/2009015

Location search algorithm of thin conductivity inclusions via boundary measurements

Hyundae Lee¹ and Won-Kwang Park²

¹ Department of Mathematics, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Korea.
² Département de Recherche en Électromagnétisme - Laboratoire des Signaux et Systèmes (UMR 8506, CNRS-Supélec-Université Paris-Sud 11) 91192 Gif-sur-Yvette cedex, France.

Published online: 25 April 2009

Abstract
We propose an algorithm for retrieving the end points of thin, rectangular inclusions of finite conductivity in a homogeneous medium proposed herein. It is based on an appropriate asymptotic formula for steady state voltage potentials in the presence of thin inclusions. Numerical experiments exhibit the proposed algorithm is fast, effective and stable.

Mathematics Subject Classification. 35R30

Key words: Thin conductivity inclusions, asymptotic formula, reconstruction

© EDP Sciences, ESAIM 2009

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