Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation (1408.1569v1)

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.