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

IF 1 4区数学 Q1 MATHEMATICS

Boundary Value Problems Pub Date : 2023-10-12 DOI:10.1186/s13661-023-01788-1

Mohamed Abdelwahed, Nejmeddine Chorfi, Maatoug Hassine

引用次数: 0

Abstract

Abstract 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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用边界测量法测定各向同性弹性体中的刚性夹杂物

摘要研究了浸在各向同性弹性介质中的刚性包裹体的超定边界确定问题。我们提出了一种基于拓扑灵敏度技术和互易间隙概念的精确方法。我们导出了一个高阶渐近公式，将已知的边界数据和未知的包含参数连接起来。所得公式是开发精确、鲁棒的几何反问题数值算法的有效工具。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems 数学-数学

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.