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

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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Hauptverfasser: Beretta, Elena, de Hoop, Maarten V, Francini, Elisa, Vessella, Sergio
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1408.1569