3 papers
math.NA2026
Preconditioners for the Onsager-Stefan-Maxwell equations for multicomponent diffusion
Kars Knook, Aaron Baier-Reinio, Patrick E. Farrell
The Onsager-Stefan-Maxwell (OSM) equations are an important model of mass transport in multicomponent flows with multiple chemical species. They describe the coupling of diffusive…
math.NA2026
Global and local helicity-preservation in the finite element discretization of magnetic relaxation
Patrick E. Farrell, Mingdong He, Kaibo Hu +1
Magnetic relaxation drives plasma toward lower-energy equilibria under helicity constraints. In ideal magnetohydrodynamics (MHD), helicity is locally conserved, while resistive the…
physics.plasm-ph2025
Multiple solutions to the static forward free-boundary Grad-Shafranov problem on MAST-U
K. Pentland, N. C. Amorisco, P. E. Farrell +1
The Grad-Shafranov (GS) equation is a nonlinear elliptic partial differential equation that governs the ideal magnetohydrodynamic equilibrium of a tokamak plasma. Previous studies…