Volume 26, 2009Mathematical methods for imaging and inverse problems
|Page(s)||217 - 229|
|Published online||25 April 2009|
Location search algorithm of thin conductivity inclusions via boundary measurements
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.
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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