34 citations · 104 across the 7 of their papers we have counts for
5 papers · 1 filter
Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry
Andrew Giuliani, Florian Wechsung, Antoine Cerfon +2
We present a new coil design paradigm for magnetic confinement in stellarators. Our approach directly optimizes coil shapes and coil currents to produce a vacuum quasi-symmetric ma…
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…
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…