Determination of a linear crack in an elastic body from boundary measurements-lipschitz stability

Elena Beretta, Elisa Francini, Sergio Vessella

Research output: Contribution to journalArticle

Abstract

We discuss the stability issue for the problem of determining a thin inclusion in a homogeneous isotropic elastic body from boundary measurements. This problem is severely ill-posed, but in this paper we prove that by restricting ourselves to the class of thin neighborhoods of line segments, a Lipschitz stability estimate holds

Original languageEnglish (US)
Pages (from-to)984-1002
Number of pages19
JournalSIAM Journal on Mathematical Analysis
Volume40
Issue number3
DOIs
StatePublished - Sep 1 2008

    Fingerprint

Keywords

  • Cracks
  • Inverse problems
  • Linear elasticity

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this