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

Elena Beretta; Elisa Francini; Eunjoo Kim; June Yub Lee

doi:10.1088/0266-5611/26/8/085015

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

Elena Beretta, Elisa Francini, Eunjoo Kim, June Yub Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Article number	085015
Journal	Inverse Problems
Volume	26
Issue number	8
DOIs	https://doi.org/10.1088/0266-5611/26/8/085015
State	Published - Aug 2010

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title = "Algorithm for the determination of a linear crack in an elastic body from boundary measurements",

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.",

author = "Elena Beretta and Elisa Francini and Eunjoo Kim and Lee, \{June Yub\}",

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AU - Beretta, Elena

AU - Francini, Elisa

AU - Kim, Eunjoo

AU - Lee, June Yub

PY - 2010/8

Y1 - 2010/8

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/77955352850

U2 - 10.1088/0266-5611/26/8/085015

DO - 10.1088/0266-5611/26/8/085015

M3 - Article

AN - SCOPUS:77955352850

SN - 0266-5611

VL - 26

JO - Inverse Problems

JF - Inverse Problems

IS - 8

M1 - 085015

ER -

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

Abstract

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