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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.