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physics.comp-ph2023
Direct stellarator coil design using global optimization: application to a comprehensive exploration of quasi-axisymmetric devices
Andrew Giuliani
Many stellarator coil design problems are plagued by multiple minima, where the locally optimal coil sets can sometimes vary substantially in performance. As a result, solving a co…
math.NA2023
A new provably stable weighted state redistribution algorithm
Marsha Berger, Andrew Giuliani
We propose a practical finite volume method on cut cells using state redistribution. Our algorithm is provably monotone, total variation diminishing, and GKS stable in many situati…