4 papers · 1 filter
Convergence of a fully discrete finite element method for the Beris-Edwards system of liquid crystal dynamics
Gonzalo A. Benavides, Franziska Weber
We propose and analyze a fully discrete finite element scheme for the Beris-Edwards system of nematic liquid crystal dynamics, in which the incompressible Navier-Stokes equations a…
A convergence proof for a finite element discretization of Chorin's projection method of the incompressible Navier-Stokes equations
Franziska Weber
We study Chorin's projection method combined with a finite element spatial discretization for the time-dependent incompressible Navier-Stokes equations. The scheme advances the sol…
Convergence of a Second-Order Projection Method to Leray-Hopf Solutions of the Incompressible Navier-Stokes Equations
Franziska Weber
We analyze a second-order projection method for the incompressible Navier-Stokes equations on bounded Lipschitz domains. The scheme employs a Backward Differentiation Formula of or…
Finite element analysis of a nematic liquid crystal Landau-de Gennes model with quartic elastic terms
Jacob Elafandi, Franziska Weber
In arXiv:1906.09232v2, Golovaty et al. present a -tensor model for liquid crystal dynamics which reduces to the well-known Oseen-Frank director field model in uniaxial states. W…