4 papers
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 $…
Stable skeleton integral equations for general coefficient Helmholtz transmission problems
Benedikt Gräßle, 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…
Dirichlet-to-Neumann operator for the Helmholtz problem with general wavenumbers on the -sphere
Benedikt Gräßle, 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…
Crouzeix-Raviart elements on simplicial meshes in dimensions
Nis-Erik Bohne, Patrick Ciarlet, Stefan Sauter
In this paper we introduce Crouzeix-Raviart elements of general polynomial order and spatial dimension for simplicial finite element meshes. We give explicit represent…