Characterization of the Frechet derivative of the elasto-acoustic field with respect to Lipschitz domains

被引：5

作者：

Barucq, Helene ^{[1
,2
]}

Djellouli, Rabia ^{[3
,4
]}

Estecahandy, Elodie ^{[1
,2
]}

机构：

[1] INRIA Bordeaux Sud Ouest Res Ctr, Team Project Mag 3D, Bordeaux, France

[2] Univ Pau & Pays Adour, LMA, F-64010 Pau, France

[3] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA

[4] Calif State Univ Northridge, Interdisciplinary Res Inst Sci, Northridge, CA 91330 USA

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2014年 / 22卷 / 01期

关键词：

Acoustics; elastodynamics; shape derivative; inverse problems; Frechet derivatives; SCATTERING; CRACKS; BODY;

D O I：

10.1515/jip-2012-0098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the continuous Frechet differentiability of the elasto-acoustic field with respect to Lipschitz continuous deformation of the shape of an elastic scatterer. We then characterize the derivative as a solution of a direct elasto-acoustic-type problem. Such a characterization has the potential to advance the state-of-the-art of the solution of inverse elasto-acoustic scattering problems.

引用

页码：1 / 8

页数：8