DETERMINATION OF A LINEAR CRACK IN AN ELASTIC BODY FROM BOUNDARY MEASUREMENTS-LIPSCHITZ STABILITY

被引：13

作者：

Beretta, Elena ^{[1
]}

Francini, Elisa ^{[2
]}

Vessella, Sergio ^{[3
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

[3] Univ Florence, Dipartimento Matemat Decisioni, I-50134 Florence, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 03期

关键词：

inverse problems; linear elasticity; cracks;

D O I：

10.1137/070698397

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the stability issue for the problem of determining a thin inclusion in a homogeneous isotropic elastic body from boundary measurements. This problem is severely ill-posed, but in this paper we prove that by restricting ourselves to the class of thin neighborhoods of line segments, a Lipschitz stability estimate holds.

引用

页码：984 / 1002

页数：19

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