47 citations · 122 across the 11 of their papers we have counts for
13 papers
Refined stability estimates for mixed problems by exploiting semi norm arguments
Nicolas Gauger, Alexander Linke, Christian Merdon
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pres…
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman +3
Discretization of Navier-Stokes' equations using pressure-robust finite element methods is considered for the high Reynolds number regime. To counter oscillations due to dominating…
A nonconforming pressure-robust finite element method for the Stokes equations on anisotropic meshes
Thomas Apel, Volker Kempf, Alexander Linke +1
Most classical finite element schemes for the (Navier-)Stokes equations are neither pressure-robust, nor are they inf-sup stable on general anisotropic triangulations. A lack of pr…
Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke +1
Robust discretization methods for (nearly-incompressible) linear elasticity are free of volume-locking and gradient-robust. While volume-locking is a well-known problem that can be…
On the numerical range of sectorial forms
Antonius Frederik Maria ter Elst, Joachim Rehberg, Alexander Linke
We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary con…
A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem
Mine Akbas, Thierry Gallouet, Almut Gassmann +2
A novel notion for constructing a well-balanced scheme - a gradient-robust scheme - is introduced and a showcase application for a steady compressible, isothermal Stokes equations…