3 papers
math.SP2025
Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed
Yan-Long Fang, Jeffrey Galkowski
We study scattering by metamaterials with negative indices of refraction, which are known to support \emph{surface plasmons} -- long-lived states that are highly localized at the b…
math.NA2024
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
Jeffrey Galkowski, Shihua Gong, Ivan G. Graham +2
We study overlapping Schwarz methods for the Helmholtz equation posed in any dimension with large, real wavenumber and smooth variable wave speed. The radiation condition is approx…
math.AP2021
Lower bounds for Steklov eigenfunctions
Jeffrey Galkowski, John A. Toth
Let be a compact, analytic Riemannian manifold with analytic boundary We give -lower bounds for Steklov eigenfunctions and their restrictions to inter…