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ALGORITHM FOR THE DETERMINATION OF A LINEAR CRACK IN AN ELASTIC BODY FROM BOUNDARY MEASUREMENTS
Elena BERETTA,Elisa FRANCINI,Eun Joo KIM,June Yub LEE 한국산업응용수학회 2010 한국산업응용수학회 학술대회 논문집 Vol.5 No.1
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 et al. [7], we design an effective reconstruction algorithm to find two end-points and thickness of a linear inclusion. Numerical experiments shows that the algorithm is effective and stable.
Algorithm for the determination of a linear crack in an elastic body from boundary measurements
Beretta, Elena,Francini, Elisa,Kim, Eunjoo,Lee, June-Yub Institute of Physics 2010 Inverse problems Vol.26 No.8
<P>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 <I>SIAM J. Math. Anal.</I> <B>38</B> 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.</P>