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arXiv · 1408.1569

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation

Elena Beretta·Maarten V. de Hoop·Elisa Francini·Sergio Vessella
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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.

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Elena Beretta, Maarten V. de Hoop, Elisa Francini, Sergio Vessella. 2014-08-07. Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation. https://arxiv.org/abs/1408.1569

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