@article{97bf8ffb05b64cd9878079ce14f4a9a9,
title = "Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation",
abstract = "We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map. We consider piecewise constant wave speeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the Hausdorff distance between partitions.",
keywords = "Helmholtz equation, Inverse boundary value problem, Lipschitz stability",
author = "Elena Beretta and {de Hoop}, {Maarten V.} and Elisa Francini and Sergio Vessella",
note = "Funding Information: This research was supported in part by the members of the Geo-Mathematical Imaging Group at Purdue University and by the Gruppo Nazionale per l{\textquoteright}Analisi Matematica, la Probabilit{\`a} e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). Publisher Copyright: {\textcopyright} 2015, Taylor & Francis Group, LLC.",
year = "2015",
month = jul,
day = "3",
doi = "10.1080/03605302.2015.1007379",
language = "English (US)",
volume = "40",
pages = "1365--1392",
journal = "Communications in Partial Differential Equations",
issn = "0360-5302",
publisher = "Taylor and Francis Ltd.",
number = "7",
}