4 papers · 1 filter
Bifurcations in Interior Transmission Eigenvalues: Theory and Computation
Davide Pradovera, Alessandro Borghi, Lukas Pieronek +1
The interior transmission eigenvalue problem (ITP) plays a central role in inverse scattering theory and in the spectral analysis of inhomogeneous media. Despite its smooth depende…
Accelerating droplet-laden Stokes flow simulations with hierarchical surrogate modeling
Davide Pradovera, Thomas Frachon, Sara Zahedi
We present a surrogate modeling strategy for Stokes flows with liquid droplets suspended in a carrier fluid. Our approach is based on a multi-fidelity framework. At the lowest fide…
Barycentric rational approximation for learning the index of a dynamical system from limited data
Davide Pradovera, Ion Victor Gosea, Jan Heiland
We consider the task of data-driven identification of dynamical systems, specifically for systems whose behavior at large frequencies is non-standard, as encoded by a non-trivial r…
Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching
Davide Pradovera, Ralf Hiptmair, Ilaria Perugia
This paper describes novel algorithms for the identification of (almost-)resonant behavior in scattering problems. Our methods, relying on rational approximation, aim at building s…