Stable Determination of Polyhedral Interfaces from Boundary Data for the Helmholtz Equation

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

Research output: Contribution to journalArticlepeer-review

Abstract

We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map. We consider piecewise constant wave speeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the Hausdorff distance between partitions.

Original languageEnglish (US)
Pages (from-to)1365-1392
Number of pages28
JournalCommunications in Partial Differential Equations
Volume40
Issue number7
DOIs
StatePublished - Jul 3 2015

Keywords

  • Helmholtz equation
  • Inverse boundary value problem
  • Lipschitz stability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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