44 citations · 432 across the 34 of their papers we have counts for
6 papers · 1 filter
Efficient high-order singular quadrature schemes in magnetic fusion
Dhairya Malhotra, Antoine J. Cerfon, Michael O'Neil +1
Several problems in magnetically confined fusion, such as the computation of exterior vacuum fields or the decomposition of the total magnetic field into separate contributions fro…
Taylor States in Stellarators: A Fast High-order Boundary Integral Solver
Dhairya Malhotra, Antoine Cerfon, Lise-Marie Imbert-Gérard +1
We present a boundary integral equation solver for computing Taylor relaxed states in non-axisymmetric solid and shell-like toroidal geometries. The computation of Taylor states in…
An integral equation-based numerical solver for Taylor states in toroidal geometries
Michael O'Neil, Antoine J. Cerfon
We develop an algorithm for the numerical calculation of Taylor states in toroidal and toroidal shell geometries using an analytical framework developed for the solution to the tim…
An adaptive fast multipole accelerated Poisson solver for complex geometries
Travis Askham, Antoine J Cerfon
We present a fast, direct and adaptive Poisson solver for complex two-dimensional geometries based on potential theory and fast multipole acceleration. More precisely, the solver r…
Accurate Derivative Evaluation for any Grad-Shafranov Solver
L. F. Ricketson, A. J. Cerfon, M. Rachh +1
We present a numerical scheme that can be combined with any fixed boundary finite element based Poisson or Grad-Shafranov solver to compute the first and second partial derivatives…
Accurate Spectral Numerical Schemes for Kinetic Equations with Energy Diffusion
Jon Wilkening, Antoine Cerfon, Matt Landreman
We examine the merits of using a family of polynomials that are orthogonal with respect to a non-classical weight function to discretize the speed variable in continuum kinetic cal…