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

Algorithm for the determination of a linear crack in an elastic body from boundary measurements
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根据边界测量确定弹性体中线性裂纹的算法

DOI:
10.1088/0266-5611/26/8/085015
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发表时间:
2010
期刊:
影响因子:
2.1
通讯作者:
June
June
中科院分区:
数学2区
文献类型:
--
作者:
E. Beretta;E. Francini;EunJoo Kim;June

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本文研究了由外边界测量识别弹性体内部线性夹杂的反问题。基于Beretta和Francini的渐近公式(2006 SIAM J. Math. Anal. 38 1249-61),我们设计了一种有效的重建算法来找到端点和线性夹杂物的厚度。数值实验表明,该算法是有效和稳定的.
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.