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 / E. Beretta; E. Francini; E. Kim; J. Lee. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 26:(2010), pp. 0-0. [10.1088/0266-5611/26/8/085015]
Algorithm for the determination of a linear crack in an elastic body from boundary measurements.
FRANCINI, ELISA;
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.
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