Asymptotically Corrected Krylov Subspace Model Order Reduction of Wavefields in Travel-Time Dominated Structures

Abstract

In this talk we present travel time or asymptotically corrected Krylov subspace methods to efficiently compute time- and frequency-domain wavefields in inhomogeneous structures. Fields characterized by large travel times can be effectively captured, by adding travel time information to parameter dependent Rational Krylov subspaces. This method provides reduced-order models of small order,
which can be incorporated in wavefield inversion schemes. Numerical experiments will be presented that illustrate the performance of the method.