Algorithm for the determination of a linear crack in an elastic body from boundary measurements

Elena Beretta, Elisa Francini, Eunjoo Kim, June Yub Lee

Research output: Contribution to journalArticle

Abstract

In this paper we consider the inverse problem of identifying a linear inclusion inside an elastic body from exterior boundary measurements. Based on the asymptotic formula by Beretta and Francini (2006 SIAM J. Math. Anal. 38 1249-61), we design an effective reconstruction algorithm to find the endpoints and the thickness of a linear inclusion. Numerical experiments show that the algorithm is effective and stable.

Original languageEnglish (US)
Article number085015
JournalInverse Problems
Volume26
Issue number8
DOIs
StatePublished - Aug 1 2010

Fingerprint

Elastic body
Crack
Inclusion
Cracks
Reconstruction Algorithm
Inverse problems
Asymptotic Formula
Inverse Problem
Numerical Experiment
Experiments
Design

ASJC Scopus subject areas

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

Cite this

Algorithm for the determination of a linear crack in an elastic body from boundary measurements. / Beretta, Elena; Francini, Elisa; Kim, Eunjoo; Lee, June Yub.

In: Inverse Problems, Vol. 26, No. 8, 085015, 01.08.2010.

Research output: Contribution to journalArticle

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