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

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Published 2 July 2010 • 2010 IOP Publishing Ltd
, , Citation Elena Beretta et al 2010 Inverse Problems 26 085015 DOI 10.1088/0266-5611/26/8/085015

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Author affiliations

1 Dipartimento di Matematica G Calstelnuovo, Università di Roma La Sapienza, Italy

2 Dipartimento di Matematica U Dini, Università di Firenze, Italy

3 Institute of Mathematical sciences, Ewha Womans University, Seoul 120-750, Korea

4 Department of Mathematics, Ewha Womans University, Seoul 120-750, Korea

5 Author to whom any correspondence should be addressed

Dates

  1. Received 1 March 2010
  2. Published

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0266-5611/26/8/085015

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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10.1088/0266-5611/26/8/085015