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A real time algorithm for the location search of discontinuous conductivities with one measurement

✍ Scribed by Ohin Kwon; Jin Keun Seo; Jeong-Rock Yoon

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
292 KB
Volume
55
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

We consider an inverse problem for finding the anomaly of discontinuous electrical conductivity by one current‐voltage observation. We develop a real time algorithm for determining the location of the anomaly. This new idea is based on the observation of the pattern of a simple weighted combination of the input current and the output voltage. Combined with the size estimation result, this algorithm gives a good initial guess for Newton‐type schemes. We give the rigorous proof for the location search algorithm. Both the mathematical analysis and its numerical implementation indicate our location search algorithm is very fast, stable and efficient. © 2001 John Wiley & Sons, Inc.

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