Total size estimation and identification of multiple anomalies in the inverse conductivity problem

Ohin Kwon, Jin Keun Seo

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We consider the inverse problem of determining multiple anomalies within a homogeneous medium occupied in a region Ω⊂Rn, n = 2 or 3 from the measurement of voltage response to an injected current on the boundary ∂Ω. We propose a new method of finding the total size of multiple anomalies from the boundary measurement. This algorithm works within a real time and gives a quite precise total size of the anomalies. Next, we present asymptotic formulae which are useful to develop a reconstruction algorithm. Numerical experiments based on the size estimation and asymptotic formulae indicate its efficiency.

Original languageEnglish
Pages (from-to)59-75
Number of pages17
JournalInverse Problems
Volume17
Issue number1
DOIs
Publication statusPublished - 2001 Feb 1

Fingerprint

Inverse Conductivity Problem
Anomaly
Asymptotic Formula
Inverse problems
Inhomogeneous Media
Reconstruction Algorithm
Inverse Problem
Electric potential
Voltage
Numerical Experiment
Experiments

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

Cite this

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Total size estimation and identification of multiple anomalies in the inverse conductivity problem. / Kwon, Ohin; Seo, Jin Keun.

In: Inverse Problems, Vol. 17, No. 1, 01.02.2001, p. 59-75.

Research output: Contribution to journalArticle

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