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math.NA2025
Structure-Preserving Transfer of Grad-Shafranov Equilibria to Magnetohydrodynamic Solvers
Rushan Zhang, Golo Wimmer, Qi Tang
Magnetohydrodynamic (MHD) solvers used to study dynamic plasmas for magnetic confinement fusion typically rely on initial conditions that describe force balance, which are provided…
math.NA2025
Optimal transfer operators in algebraic two-level methods for nonsymmetric and indefinite problems
Oliver A. Krzysik, Ben S. Southworth, Golo A. Wimmer +3
Consider an algebraic two-level method applied to the -dimensional linear system using fine-space preconditioner (i.e., ``relaxation'' or ``smoother'…
math.NA2025
High order interpolation of magnetic fields with vector potential reconstruction for particle simulations
Oleksii Beznosov, Jesus Bonilla, Xianzhu Tang +1
We propose a method for interpolating divergence-free continuous magnetic fields via vector potential reconstruction using Hermite interpolation, which ensures high-order continuit…