73 citations · 348 across the 17 of their papers we have counts for
8 papers · 1 filter
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…
A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott +1
Augmented Lagrangian preconditioners have successfully yielded Reynolds-robust preconditioners for the stationary incompressible Navier-Stokes equations, but only for specific disc…
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…
Robust multigrid methods for nearly incompressible elasticity using macro elements
Patrick E. Farrell, Lawrence Mitchell, L. Ridgway Scott +1
We present a mesh-independent and parameter-robust multigrid solver for the Scott-Vogelius discretisation of the nearly incompressible linear elasticity equations on meshes with a…
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…
Automated shape differentiation in the Unified Form Language
David A. Ham, Lawrence Mitchell, Alberto Paganini +1
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (Alnæs et al., ACM Trans. Math. Softw., 2014) by introducing an appropriate additional…
Higher-order moving mesh methods for PDE-constrained shape optimization
A. Paganini, F. Wechsung, P. E. Farrell
We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatib…
A robust parallel algorithm for combinatorial compressed sensing
Rodrigo Mendoza-Smith, Jared Tanner, Florian Wechsung
In previous work two of the authors have shown that a vector with at most nonzeros can be recovered from an expander sketch in $\mathcal{O}(\mathr…