RECOVERING THE IMPEDANCE FUNCTION OR SHAPE OF ELASTIC OBSTACLE FROM PARTIAL CAUCHY DATA

被引：0

作者：

Sun, Yao ^{[1
]}

Wang, Pan ^{[1
]}

Chen, Bo ^{[1
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 08期

关键词：

Inverse impedance problem; inverse shape problem; Cauchy data; boundary integral equation; Navier equation; FINITE-ELEMENT-METHOD; STABLE DETERMINATION; SCATTERING PROBLEMS; WAVE SCATTERING; SAMPLING METHOD; MODIFIED BEM; RECONSTRUCTION; EQUATIONS; CAVITIES;

D O I：

10.3934/dcdss.2024025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on recovering the impedance function or the boundary shape from a pair of Cauchy data on the known boundary by using an indirect boundary integral equation. This present problem has been divided into two parts. The first part is to solve a Cauchy problem through using an indirect boundary integral equation method combining a regularization technique. Then, the elastic impedance function is given by a point to point method. The second part is to recover the elastic shape by a Newton -type iterative method. The effectiveness of the method has been shown by solving some examples.

引用

页码：2654 / 2678

页数：25

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