34 citations · 193 across the 55 of their papers we have counts for
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Cartesian PML truncation for the Helmholtz equation is exponentially accurate at high frequency
Martin Averseng, Jeffrey Galkowski, Euan A. Spence
For a wide class of Helmholtz scattering problems (namely, those fitting in the black-box framework of Sjöstrand--Zworski) we prove that the error incurred by approximating the rad…
The -FEM does not suffer from the pollution effect for piecewise-smooth Helmholtz problems with Gevrey regularity at boundaries
Jeffrey Galkowski, Mostafa Meliani, Euan A. Spence
We consider the -FEM applied to the Helmholtz scattering problem with wavenumber , truncated with a perfectly-matched layer. The scatterer consists of a combination of Diric…
Localised Davies generators for (pseudo)differential operators
Jeffrey Galkowski, Maciej Zworski
A classical Davies generator provides a Lindbladian for which the Gibbs state is stationary. Its construction involves precise knowledge of the Bohr spectrum or equivalently state…
1D Scattering through time dependent media with memory
Jeffrey Galkowski, Zhen Huang, Maciej Zworski
We construct a scattering matrix with operator valued entries describing solutions to the 1+1 wave equation where permittivities has memory and depends on time and space. It is the…