4 papers · 1 filter
Convergent numerical schemes for the viscoelastic Giesekus model in two dimensions
Endre Süli, Dennis Trautwein
In this work, we develop a class of stable and convergent numerical methods for the approximate solution of the viscoelastic Giesekus model in two space dimensions. The model coupl…
Structure-preserving parametric finite element methods for two-phase Stokes flow based on Lagrange multiplier approaches
Harald Garcke, Dennis Trautwein, Ganghui Zhang
We present a novel formulation for parametric finite element methods to approximate two-phase Stokes flow. The new formulation is based on the classical Stokes equation in the bulk…
On energy-dissipative finite element approximations for rate-type viscoelastic fluids with stress diffusion
Dennis Trautwein
We study a fully discrete finite element approximation of a model for unsteady flows of rate-type viscoelastic fluids with stress diffusion in two and three dimensions. The model c…
Parametric finite element approximation of two-phase Navier--Stokes flow with viscoelasticity
Harald Garcke, Robert Nürnberg, Dennis Trautwein
In this work, we present a parametric finite element approximation of two-phase Navier-Stokes flow with viscoelasticity. The free boundary problem is given by the viscoelastic Navi…