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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.NA2024
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…
math.NA2024
Pressure-improved Scott-Vogelius type elements
Nis-Erik Bohne, Benedikt GräÃle, Stefan A. Sauter
The Scott-Vogelius element is a popular finite element for the discretization of the Stokes equations which enjoys inf-sup stability and gives divergence-free velocity approximatio…