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

被引：0
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作者：
Mohamed Abdelwahed
Nejmeddine Chorfi
Maatoug Hassine
机构：
[1] King Saud University,Department of Mathematics, College of Sciences
[2] Paul Sabatier University,Department of Mathematics
来源：
Boundary Value Problems | / 2023卷
关键词：
35N25; 49K40; Linear elasticity; Reciprocity gap functional; Calculus of variations; Topological sensitivity;
D O I：
暂无
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学科分类号：
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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