34 citations · 193 across the 55 of their papers we have counts for
4 papers · 1 filter
An abstract formulation of the flat band condition
Jeffrey Galkowski, Maciej Zworski
Motivated by the study of flat bands in models of twisted bilayer graphene (TBG), we give abstract conditions which guarantee the existence of a discrete set of parameters for whic…
Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
Martin Averseng, Euan A. Spence, Jeffrey Galkowski
For -FEM discretisations of the Helmholtz equation with wavenumber , we obtain -explicit analogues of the classic local FEM error bounds of [Nitsche, Schatz 1974], [Wahlbi…
Propagation for Schrödinger operators with potentials singular along a hypersurface
Jeffrey Galkowski, Jared Wunsch
In this article, we study propagation of defect measures for Schrödinger operators, , on a Riemannian manifold of dimension with having conormal singular…
Sharp preasymptotic error bounds for the Helmholtz -FEM
Jeffrey Galkowski, Euan A. Spence
In the analysis of the -version of the finite-element method (FEM), with fixed polynomial degree , applied to the Helmholtz equation with wavenumber , the $\textit{as…