22 citations · 32 across the 4 of their papers we have counts for
4 papers
FFT-based free space Poisson solvers: why Vico-Greengard-Ferrando should replace Hockney-Eastwood
Junyi Zou, Eugenia Kim, Antoine J. Cerfon
Many problems in beam physics and plasma physics require the solution of Poisson's equation with free-space boundary conditions. The algorithm proposed by Hockney and Eastwood is a…
Elimination of MHD current sheets by modifications to the plasma wall in a fixed boundary model
Eugenia Kim, Geoffrey McFadden, Antoine Cerfon
Models of magnetohydrodynamic (MHD) equilibia that for computational convenience assume the existence of a system of nested magnetic flux surfaces tend to exhibit singular current…
The mimetic finite difference method for the Landau-Lifshitz equation
Eugenia Kim, Konstantin Lipnikov
The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magn…
Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation
Eugenia Kim, Jon Wilkening
The dynamics of the magnetic distribution in a ferromagnetic material is governed by the Landau-Lifshitz equation, which is a nonlinear geometric dispersive equation with a nonconv…