About identification of defects in an elastic-plastic medium from boundary measurements in the antiplane case

被引：3

作者：

Bourgeois, L. ^{[1
]}

Darde, J. ^{[1
,2
]}

机构：

[1] Lab POEMS, F-75739 Paris 15, France

[2] Univ Paris 06, Lab JL Lions, F-75252 Paris 05, France

来源：

APPLICABLE ANALYSIS | 2011年 / 90卷 / 10期

关键词：

inverse problem; elastic-plastic law; quasi-reversibility; level set technique; QUASI-REVERSIBILITY METHOD; CAUCHY-PROBLEM; SOLVE; INVERSION;

D O I：

10.1080/00036811.2010.549481

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to a new method to find defects in some elastic-plastic structure in the antiplane case from overdetermined data on a subpart of its boundary. This iterative method merges the method of quasi-reversibility and a simple level set technique. The foundations of the method are justified from a theoretical point of view and its efficiency is shown with the help of numerical experiments.

引用

页码：1481 / 1497

页数：17

共 22 条

[1] Inverse problems in elasticity [J].