Adjoint methods for quasi-symmetry of vacuum fields on a surface

Magnetic Fields with Precise Quasisymmetry for Plasma Confinement

(2022) Matt Landreman et al.   PHYSICAL REVIEW LETTERS

Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. I. Generalized force balance

(2021) E. Rodríguez et al.   PHYSICS OF PLASMAS

Solving the problem of overdetermination of quasisymmetric equilibrium solutions by near-axis expansions. II. Circular axis stellarator solutions

(2021) E. Rodríguez et al.   PHYSICS OF PLASMAS

Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1. Solutions near an axisymmetric surface

(2021) Wrick Sengupta et al.   JOURNAL OF PLASMA PHYSICS

An adjoint method for determining the sensitivity of island size to magnetic field variations

(2021) Alessandro Geraldini et al.   JOURNAL OF PLASMA PHYSICS

Gradient-based optimization of 3D MHD equilibria

(2021) Elizabeth J. Paul et al.   JOURNAL OF PLASMA PHYSICS

Stellarator optimization for good magnetic surfaces at the same time as quasisymmetry

(2021) Matt Landreman et al.   PHYSICS OF PLASMAS

Single-stage gradient-based stellarator coil design: stochastic optimization

(2021) Florian Wechsung et al.   NUCLEAR FUSION

Adjoint approach to calculating shape gradients for three-dimensional magnetic confinement equilibria. Part 2. Applications

(2020) Elizabeth J. Paul et al.   JOURNAL OF PLASMA PHYSICS

Necessary and sufficient conditions for quasisymmetry

(2020) E. Rodríguez et al.   PHYSICS OF PLASMAS

Some mathematics for quasi-symmetry

(2020) J. W. Burby et al.   JOURNAL OF MATHEMATICAL PHYSICS

Coordinate parametrization and spectral method optimisation for Beltrami field solver in stellarator geometry

(2020) Zhisong Qu et al.   PLASMA PHYSICS AND CONTROLLED FUSION

Adjoint approach to calculating shape gradients for three-dimensional magnetic confinement equilibria

(2019) Thomas Antonsen et al.   JOURNAL OF PLASMA PHYSICS

Taylor States in Stellarators: A Fast High-order Boundary Integral Solver

(2019) Dhairya Malhotra et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adjoint method for neoclassical stellarator optimization

(2019) Elizabeth J. Paul et al.   JOURNAL OF PLASMA PHYSICS

Stellarator equilibria with reactor relevant energetic particle losses

(2019) Aaron Bader et al.   JOURNAL OF PLASMA PHYSICS

Curl-free magnetic fields for stellarator optimization

(2019) Allen H. Boozer   PHYSICS OF PLASMAS

Improving fast-particle confinement in quasi-axisymmetric stellarator optimization

(2019) S A Henneberg et al.   PLASMA PHYSICS AND CONTROLLED FUSION

Quasi-axisymmetric magnetic fields: weakly non-axisymmetric case in a vacuum

(2018) G. G. Plunk et al.   JOURNAL OF PLASMA PHYSICS

An adjoint method for gradient-based optimization of stellarator coil shapes

(2018) E.J. Paul et al.   NUCLEAR FUSION

Computing local sensitivity and tolerances for stellarator physics properties using shape gradients

(2018) Matt Landreman et al.   NUCLEAR FUSION

Differentiating the shape of stellarator coils with respect to the plasma boundary

(2018) S.R. Hudson et al.   PHYSICS LETTERS A

Properties of a new quasi-axisymmetric configuration

(2018) S.A. Henneberg et al.   NUCLEAR FUSION

New method to design stellarator coils without the winding surface

(2017) Caoxiang Zhu et al.   NUCLEAR FUSION

On the Smooth Jordan Brouwer Separation Theorem

(2016) Peter McGrath   AMERICAN MATHEMATICAL MONTHLY

On the Smooth Jordan Brouwer Separation Theorem

(2016) Peter McGrath   AMERICAN MATHEMATICAL MONTHLY

Theory of plasma confinement in non-axisymmetric magnetic fields

(2014) Per Helander   REPORTS ON PROGRESS IN PHYSICS

ESTELL: A Quasi-Toroidally Symmetric Stellarator

(2013) M. Drevlak et al.   CONTRIBUTIONS TO PLASMA PHYSICS

Computation of multi-region relaxed magnetohydrodynamic equilibria

(2012) S. R. Hudson et al.   PHYSICS OF PLASMAS

New classes of quasi-helically symmetric stellarators

(2010) L.P. Ku et al.   NUCLEAR FUSION

Relaxed Plasma Equilibria and Entropy-Related Plasma Self-Organization Principles

(2008) Robert Dewar et al.   Entropy