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

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'Numerical identification of discontinuous conductivity coefficients'. Together they form a unique fingerprint.

  • Cite this