4 papers
Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations
Yu-hsuan Shih, Georg Stadler, Florian Wechsung
We present augmented Lagrangian Schur complement preconditioners and robust multigrid methods for incompressible Stokes problems with extreme viscosity variations. Such Stokes syst…
Fireshape: a shape optimization toolbox for Firedrake
Alberto Paganini, Florian Wechsung
We introduce Fireshape, an open-source and automated shape optimization toolbox for the finite element software Firedrake. Fireshape is based on the moving mesh method and allows u…
Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals
Jingmin Xia, Patrick E. Farrell, Florian Wechsung
We propose a robust and efficient augmented Lagrangian-type preconditioner for solving linearizations of the Oseen-Frank model arising in cholesteric liquid crystals. By applying t…
An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier-Stokes equations at high Reynolds number
Patrick E. Farrell, Lawrence Mitchell, Florian Wechsung
In Benzi & Olshanskii (SIAM J.~Sci.~Comput., 28(6) (2006)) a preconditioner of augmented Lagrangian type was presented for the two-dimensional stationary incompressible Navier--Sto…