3 papers
math.AP2026
Dirichlet-to-Neumann operator for the Helmholtz problem with general wavenumbers on the -sphere
Benedikt GräÃle, Stefan A. Sauter
This paper considers the Helmholtz problem in the exterior of a ball with Dirichlet boundary conditions and radiation conditions imposed at infinity. The differential Helmholtz ope…
math.NA2026
Discrete reliability for high-order Crouzeix--Raviart finite elements
Nis-Erik Bohne, Stefan A. Sauter
In this paper, the adaptive numerical solution of a 2D Poisson model problem by Crouzeix-Raviart elements ( ) of arbitrary odd degree $…
math.AP2025
Stable skeleton integral equations for general coefficient Helmholtz transmission problems
Benedikt GräÃle, Ralf Hiptmair, Stefan Sauter
A novel variational formulation of layer potentials and boundary integral operators generalizes their classical construction by Green's functions, which are not explicitly availabl…