A Real-Time Algorithm for the Location Search of Discontinuous Conductivities with One Measurement

Ohin Kwon, Jin Keun Seo, Jeong Rock Yoon

Research output: Contribution to journalArticle

70 Citations (Scopus)

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 an estimation of size, this algorithm gives a good initial guess for Newton-type schemes. We give a 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.

Original languageEnglish
Pages (from-to)1-29
Number of pages29
JournalCommunications on Pure and Applied Mathematics
Volume55
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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