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

2014/08/07 by Elena Beretta, Maarten V. de Hoop, Beretta, Elena +5
Computer Science · Earth and Planetary Sciences · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Seismic Imaging and Inversion Techniques

paper · doi:10.48550/arxiv.1408.1569

openalex publication_date 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A Global Uniqueness Theorem for an Inverse Boundary Value Problem

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