Speaker
Andreas Tataris
Description
We present a numerical method for solving an inverse boundary value problem of estimating the acoustic velocity in the Helmholtz equation from frequency domain measurements based on reduced order models (ROM). The ROM is the Galerkin projection of the Helmholtz operator onto a subspace spanned by its solution snapshots at certain wavenumbers. We show how to reconstruct the ROM in a data-driven way. Once the ROM is reconstructed, the acoustic velocity can be estimated using non-linear optimization that minimizes a misfit based on the ROM. Such an approach typically outperforms the conventional methods based on data misfit minimization.