On the inverse problem of vibro-acoustography
Analysis of PDEs
2021-09-07 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2109.01907,
title = {On the inverse problem of vibro-acoustography},
author = {Barbara Kaltenbacher},
journal= {arXiv preprint arXiv:2109.01907},
year = {2021}
}