Computational Boundary Control Methods for Acoustic Inverse Boundary Value Problems

We consider the acoustic inverse boundary value problem of recovering a sound speed from near field data represented by the Neumann-to-Dirichlet map. We develop linearized boundary control methods to analyze the stability and reconstruction. The analysis leads to reconstructive algorithms that are numerically validated. This is joint work with Lauri Oksanen (University of Helsinki) and Tianyu Yang (Michigan State University).