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

    Beretta, Elena ; Francini, Elisa ; Kim, Eunjoo ; Lee, June Yub. / Algorithm for the determination of a linear crack in an elastic body from boundary measurements. In: Inverse Problems. 2010 ; Vol. 26, No. 8.
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