Publications

Submitted

A-posteriori optimization for increasing manufacturing tolerances in stellarator coil design, Florian Wechsung, Andrew Giuliani, Matt Landreman, Antoine Cerfon, Georg Stadler.

Direct computation of magnetic surfaces in Boozer coordinates and coil optimization for quasi-symmetry, Andrew Giuliani, Florian Wechsung, Matt Landreman, Georg Stadler, Antoine Cerfon.

Published / Accepted

Precise stellarator quasi-symmetry can be achieved with electromagnetic coils, Florian Wechsung, Matt Landreman, Andrew Giuliani, Antoine Cerfon, Georg Stadler, Proceedings of the National Academy of Sciences, 2022 .

Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry, Andrew Giuliani, Florian Wechsung, Antoine Cerfon, Georg Stadler, Matt Landreman, to appear in Journal of Computational Physics, 2022.

Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations, Yu-hsuan Shih, Georg Stadler, Florian Wechsung, to appear in SIAM Journal on Scientific Computing, 2022.

Single-stage gradient-based stellarator coil design: stochastic optimization, Florian Wechsung, Andrew Giuliani, Antoine Cerfon, Georg Stadler, Matt Landreman, Nuclear Fusion, 2022.

Robust multigrid methods for nearly incompressible elasticity using macro elements, Patrick E Farrell, Lawrence Mitchell, L Ridgway Scott, Florian Wechsung, IMA Journal of Numerical Analysis, 2021.

SIMSOPT: A flexible framework for stellarator optimization, Matt Landreman, Bharat Medasani, Florian Wechsung, Andrew Giuliani, Rogerio Jorge, and Caoxiang Zhu, Journal of Open Source Software, 2021.

A Reynolds-robust preconditioner for the Reynolds-robust Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations, Patrick E Farrell, Lawrence Mitchell, L Ridgway Scott, Florian Wechsung, SMAI Journal of Computational Mathematics, 2021.

PCPATCH: software for the topological construction of multigrid relaxation methods, Patrick E Farrell, Matthew G Knepley, Florian Wechsung, Lawrence Mitchell, ACM Transactions on Mathematical Software, 2020, accepted for publication.

Augmented Lagrangian preconditioners for the Oseen-Frank model of cholesteric liquid crystals, Jingmin Xia, Patrick E Farrell, Florian Wechsung, BIT Numerical Mathematics, 2021.

Shape optimisation for faster washout in recirculating flows, Jessica G. Williams, Florian Wechsung, Ben W. Turney, Sarah L. Waters, Derek E. Moulton, Journal of Fluid Mechanics, 2021.

Fireshape: a shape optimization toolbox for Firedrake, Alberto Paganini, Florian Wechsung, Structural and Multidisciplinary Optimization, 2021.

Automated shape differentiation in the Unified Form Language, David A Ham, Lawrence Mitchell, Alberto Paganini, Florian Wechsung, Structural and Multidisciplinary Optimization, 2019.

An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier–Stokes Equations at High Reynolds Number, Patrick E Farrell, Lawrence Mitchell, Florian Wechsung, SIAM Journal on Scientific Computing, 2019.

Two-Dimensional Shape Optimization with Nearly Conformal Transformations, José A Iglesias, Kevin Sturm, Florian Wechsung, SIAM Journal on Scientific Computing, 2018.

Higher-order moving mesh methods for PDE-constrained shape optimization, Alberto Paganini, Florian Wechsung, Patrick E Farrell, SIAM Journal on Scientific Computing, 2018.

A robust parallel algorithm for combinatorial compressed sensing, Rodrigo Mendoza-Smith, Jared Tanner, Florian Wechsung, IEEE Transactions on Signal Processing, 2018.