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 - Jan 1 1996

Fingerprint

Lipschitz Stability
Crack Detection
Inverse Boundary Value Problem
Crack detection
Convergence of numerical methods
Continuous Dependence
Conductor
Boundary value problems
Lipschitz
Crack
Cracks
Unknown
Estimate

Keywords

  • Crack
  • Inverse boundary value problem
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

Determining linear cracks by boundary measurements : Lipschitz stability. / Alessandrini, Giovanni; Beretta, Elena; Vessella, Sergio.

In: SIAM Journal on Mathematical Analysis, Vol. 27, No. 2, 01.01.1996, p. 361-375.

Research output: Contribution to journalArticle

Alessandrini, Giovanni ; Beretta, Elena ; Vessella, Sergio. / Determining linear cracks by boundary measurements : Lipschitz stability. In: SIAM Journal on Mathematical Analysis. 1996 ; Vol. 27, No. 2. pp. 361-375.
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