Jeffrey S. Ovall

collaborators

2 papers

math.AP2023

On localization of eigenfunctions of the magnetic Laplacian

Jeffrey S. Ovall, Hadrian Quan, Robyn Reid +1

Let $Ω \subset R^{d}$ and consider the magnetic Laplace operator given by $H (A) = (- i \nabla - A (x))^{2}$ , where $A : Ω \to R^{d}$ , subject to Dirichlet…

math.NA2023

Evaluation of Inner Products of Implicitly-defined Finite Element Functions on Multiply Connected Planar Mesh Cells

Jeffrey S. Ovall, Samuel E. Reynolds

Recent advancements in finite element methods allows for the implementation of mesh cells with curved edges. In the present work, we develop the tools necessary to employ multiply…