2 papers
math.AP2026
Nodal Deficiency of Neumann Eigenfunctions on a Symmetric Dumbbell Domain
Thomas Beck, Andrew Lyons
We study the nodal deficiency of pairs of Neumann eigenfunctions defined over symmetric dumbbell domains. As the width of the connecting neck shrinks, these eigenfunctions converge…
math.NA2025
On non-local exchange and scattering operators in domain decomposition methods
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study non-local exchange and scattering operators arising in domain decomposition algorithms for solving elliptic problems on domains in . Motivated by recent form…