52 citations · 124 across the 15 of their papers we have counts for
16 papers
A cell problem for the boundary density and approximation of boundary correctors in homogenization theory
Shari Moskow
We study the boundary corrector in the two-scale expansion for periodic elliptic problems with Dirichlet conditions. By results of Gérard-Varet--Masmoudi and Prange, on smoot…
Data generated internal solutions for the plasma wave equation: error bounds and numerical experiments in two dimensions
Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky
We consider the computation of internal solutions for a time domain plasma wave equation with an unknown potential from boundary response data. The internal solutions are compu…
Asymptotic expansions for the transmission eigenvalues of periodic scatterers of bounded support
Fioralba Cakoni, Shari Moskow
We consider the transmission eigenvalues for a bounded scatterer with a periodically varying index of refraction, and derive the first order corrections to the limiting transmissio…
On optimality and bounds for internal solutions generated from boundary data-driven Gramians
V. Druskin, S. Moskow, M. Zaslavsky
We consider the computation of internal solutions for a time domain plasma wave equation with unknown coefficients from the data obtained by sampling its transfer function at the b…
Nonlinearity helps the convergence of the inverse Born series
Nicholas Defilippis, Shari Moskow, John C. Schotland
In previous work of the authors, we investigated the Born and inverse Born series for a scalar wave equation with linear and nonlinear terms, the nonlinearity being cubic of Kerr t…
Regularized Reduced Order Lippman-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain
Justin Baker, Elena Cherkaev, Vladimir Druskin +2
Inverse scattering has a broad applicability in quantum mechanics, remote sensing, geophysical, and medical imaging. This paper presents a robust direct reduced order model (ROM) m…