On the inverse problem of vibro-acoustography

被引：2
|
作者：
Kaltenbacher, Barbara [1 ]
机构：
[1] Univ Klagenfurt, Klagenfurt, Austria
来源：
MECCANICA | 2023年 / 58卷 / 06期
关键词：
Vibro-acoustic imaging; Inverse problem; Coefficient identification; Regularization; PARAMETER;
D O I：
10.1007/s11012-022-01485-w
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The aim of this paper is to put the problem of vibroacoustic imaging into the mathematical framework of inverse problems (more precisely, coefficient identification in PDEs) and regularization. We present a model in frequency domain, prove uniqueness of recovery of the spatially varying nonlinearity parameter from measurements of the acoustic pressure at multiple frequencies, and derive Newton as well as gradient based reconstruction methods.
引用
收藏
页码：1061 / 1072
页数：12
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