Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement

被引：0
|
作者：
Abdelwahed, Mohamed [1 ]
Chorfi, Nejmeddine [1 ]
Hassine, Maatoug [2 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
[2] Paul Sabatier Univ, Dept Math, Toulouse, France
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
关键词：
Linear elasticity; Reciprocity gap functional; Calculus of variations; Topological sensitivity; SHAPE OPTIMIZATION; FLUID; FLOW;
D O I：
10.1186/s13661-023-01788-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the determination of some rigid inclusions immersed in an isotropic elastic medium from overdetermined boundary data. We propose an accurate approach based on the topological sensitivity technique and the reciprocity gap concept. We derive a higher-order asymptotic formula, connecting the known boundary data and the unknown inclusion parameters. The obtained formula is interesting and useful tool for developing accurate and robust numerical algorithms in geometric inverse problems.
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页数：16
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