46 citations · 221 across the 14 of their papers we have counts for
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math.NA2021★ 27 cited
A Weighted State Redistribution Algorithm for Embedded Boundary Grids
Andrew Giuliani, Ann S. Almgren, John B. Bell +3
State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state r…
math.OC2021★ 34 cited
Single-stage gradient-based stellarator coil design: stochastic optimization
Florian Wechsung, Andrew Giuliani, Matt Landreman +2
We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By m…
math.NA2021
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids
Andrew Giuliani
We propose a state redistribution method for high order discontinuous Galerkin methods on curvilinear embedded boundary grids. State redistribution relaxes the overly restrictive C…