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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.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…