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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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. |
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DOI: | 10.48550/arxiv.1408.1569 |