Higher-Order Topological Asymptotic Formula For The Elasticity Operator And Application

被引：0
|
作者：
Barhoumi, Montassar [1 ]
机构：
[1] Sousse Univ, Ecole Super Sci & Technol ESSTHS, Dept Math, Sousse, Tunisia
来源：
APPLIED MATHEMATICS E-NOTES | 2024年 / 24卷
关键词：
SMALL-DIAMETER; BOUNDARY MEASUREMENTS; ELECTROMAGNETIC-FIELDS; SHAPE OPTIMIZATION; INHOMOGENEITIES; IDENTIFICATION; SIMULATION; CRACKS; PERTURBATIONS; IMPERFECTIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with a geometric inverse problem related to the elasticity equation. We aim to identify an unknown hole from boundary measurements of the displacement field. The Kohn-Vogelius concept is employed for formulating the inverse problem as a topology optimization one. We develop a topological sensitivity analysis based method for detecting the location, size and shape of the unknown hole. We derive a higher-order asymptotic formula describing the variation of a Kohn-Vogelius type functional with respect to the creation of an arbitrary shaped hole inside the computational domain.
引用
收藏
页码：64 / 79
页数：16
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