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.
- Helmholtz equation
- Inverse boundary value problem
- Lipschitz stability
ASJC Scopus subject areas
- Applied Mathematics