98 citations · 227 across the 32 of their papers we have counts for
3 papers · 1 filter
On derivations of evolving surface Navier-Stokes equations
Philip Brandner, Arnold Reusken, Paul Schwering
In recent literature several derivations of incompressible Navier-Stokes type equations that model the dynamics of an evolving fluidic surface have been presented. These derivation…
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method
Sven Gross, Arnold Reusken
In this paper we consider a class of fictitious domain finite element methods known from the literature. These methods use standard finite element spaces on a fixed unfitted triang…
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
Philip Brandner, Thomas Jankuhn, Simon Praetorius +2
In this paper we study parametric TraceFEM and parametric SurfaceFEM (SFEM) discretizations of a surface Stokes problem. These methods are applied both to the Stokes problem in vel…