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.

Algorithm for the determination of a linear crack in an elastic body from boundary measurements / Beretta, Elena; Elisa, Francini; Eunjoo, Kim; June Yub, Lee. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - ELETTRONICO. - 26:8(2010), p. 085015. [10.1088/0266-5611/26/8/085015]

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

BERETTA, Elena;
2010

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.
2010
01 Pubblicazione su rivista::01a Articolo in rivista
Algorithm for the determination of a linear crack in an elastic body from boundary measurements / Beretta, Elena; Elisa, Francini; Eunjoo, Kim; June Yub, Lee. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - ELETTRONICO. - 26:8(2010), p. 085015. [10.1088/0266-5611/26/8/085015]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/15250
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