Determining linear cracks by boundary measurements: Lipschitz stability

Giovanni Alessandrini, Elena Beretta, Sergio Vessella

Research output: Contribution to journalArticle

Abstract

We consider the inverse boundary value problem of crack detection in a two-dimensional electrical conductor. We prove an estimate of Lipschitz type on the continuous dependence of an unknown linear crack from the boundary measurements.

Original languageEnglish (US)
Pages (from-to)361-375
Number of pages15
JournalSIAM Journal on Mathematical Analysis
Volume27
Issue number2
DOIs
StatePublished - Mar 1996

Keywords

  • Crack
  • Inverse boundary value problem
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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