12 citations · 43 across the 5 of their papers we have counts for
10 papers · 1 filter
An adjoint method for determining the sensitivity of island size to magnetic field variations
Alessandro Geraldini, Matt Landreman, Elizabeth Paul
An adjoint method to calculate the gradient of island width in stellarators is presented and applied to a set of magnetic field configurations. The underlying method of calculation…
Gradient-based optimization of 3D MHD equilibria
Elizabeth Paul, Matt Landreman, Thomas Antonsen
Using recently developed adjoint methods for computing the shape derivatives of functions that depend on MHD equilibria (Antonsen et al. 2019; Paul et al. 2020), we present the fir…
Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1: Solutions near an axisymmetric surface
Wrick Sengupta, Elizabeth J. Paul, Harold Weitzner +1
While several results have pointed to the existence of exactly quasisymmetric fields on a surface (Garren & Boozer 1991a,b; Plunk & Helander 2018), we have obtained the first such…
Computing the shape gradient of stellarator coil complexity with respect to the plasma boundary
Arthur Carlton-Jones, Elizabeth J. Paul, William Dorland
Coil complexity is a critical consideration in stellarator design. The traditional two-step optimization approach, in which the plasma boundary is optimized for physics properties…
Adjoint methods for stellarator shape optimization and sensitivity analysis
Elizabeth Paul
The design of a stellarator with acceptable confinement properties requires optimization of the magnetic field in the non-convex, high-dimensional spaces describing their geometry.…
Adjoint approach to calculating shape gradients for three-dimensional magnetic confinement equilibria. Part II: Applications
Elizabeth J. Paul, Thomas Antonsen, Matt Landreman +1
The shape gradient is a local sensitivity function that provides the change in a figure of merit associated with a perturbation to the shape of the object. The shape gradient can b…