Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation
Analysis of PDEs
2014-08-08 v1
Abstract
We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the Hausdorff distance between partitions.
Cite
@article{arxiv.1408.1569,
title = {Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation},
author = {Elena Beretta and Maarten V. de Hoop and Elisa Francini and Sergio Vessella},
journal= {arXiv preprint arXiv:1408.1569},
year = {2014}
}