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math.NA2022★ 3 cited
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element
Benedikt Gräßle, Nis-Erik Bohne, Stefan A. Sauter
The Scott-Vogelius finite element pair for the numerical discretization of the stationary Stokes equation in 2D is a popular element which is based on a continuous velocity approxi…
math.NA2022
On the Inf-Sup Stability of Crouzeix-Raviart Stokes Elements in 3D
Stefan Sauter, Céline Torres
We consider non-conforming discretizations of the stationary Stokes equation in three spatial dimensions by Crouzeix-Raviart type elements. The original definition in the seminal p…
math.NA2022★ 1 cited
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions
Jens M. Melenk, Stefan A. Sauter
The time-harmonic Maxwell equations at high wavenumber k in domains with an analytic boundary and impedance boundary conditions are considered. A wavenumber-explicit stability and…