AN INVERSE FLUID-SOLID INTERACTION PROBLEM

被引：25

作者：

Monk, Peter ^{[1
]}

Selgas, Virginia ^{[2
]}

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] Univ A Coruna, Dept Math, La Coruna 15707, Spain

来源：

INVERSE PROBLEMS AND IMAGING | 2009年 / 3卷 / 02期

关键词：

Linear Sampling Method; fluid-solid interaction; inverse scattering; ACOUSTIC SCATTERING;

D O I：

10.3934/ipi.2009.3.173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the Linear Sampling Method (LSM) applied to the inverse problem for the fluid-solid interaction problem of determining the shape of the solid from far field measurements of the fluid pressure field. We provide a simplified proof of the uniqueness problem in this case, an analysis of the appropriate interior transmission problem, and the existence of a solution to the LSM that can be used as an indicator for the shape of the solid. The analysis of uniqueness rests on a new technical result concerning regularity. Finally we present some numerical results for the method.

引用

页码：173 / 198

页数：26

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