Numerical identification of discontinuous conductivity coefficients

Hyeonbae Kang, Jin Keun Seo, Dongwoo Sheen

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

Let Ω ⊂ ℝn be given and suppose D ⊂ Ω is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient 1 + (k - 1)χD from the measurements of the electric voltage induced by the electric current flux prescribed on Ω. We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.

Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalInverse Problems
Volume13
Issue number1
DOIs
Publication statusPublished - 1997 Dec 1

Fingerprint

Conductivity
Electric Current
Electric currents
Coefficient
Inverse problems
Numerical Algorithms
Inverse Problem
Voltage
Fluxes
Unknown
Electric potential
Object

All Science Journal Classification (ASJC) codes

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

Cite this

Kang, Hyeonbae ; Seo, Jin Keun ; Sheen, Dongwoo. / Numerical identification of discontinuous conductivity coefficients. In: Inverse Problems. 1997 ; Vol. 13, No. 1. pp. 113-123.
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Numerical identification of discontinuous conductivity coefficients. / Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo.

In: Inverse Problems, Vol. 13, No. 1, 01.12.1997, p. 113-123.

Research output: Contribution to journalArticle

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