Error Estimates for a Linear Fully-Discrete Finite Element Method for the Ferromagnetic Magnetohydrodynamical Model
Numerical Analysis
2026-07-28 v1
Abstract
The ferromagnetic magnetohydrodynamic equations are a non-linear PDE system that models the flow of an electrically conducting fluid that also has intrinsic magnetisation. In this paper, we propose a fully-discrete linear finite element scheme based on Euler's method to approximate the solutions to these equations and perform an error analysis for the scheme. Numerical experiments have been included to corroborate our theoretical results.
Cite
@article{arxiv.2607.25523,
title = {Error Estimates for a Linear Fully-Discrete Finite Element Method for the Ferromagnetic Magnetohydrodynamical Model},
author = {Noah Vinod and Thanh Tran},
journal= {arXiv preprint arXiv:2607.25523},
year = {2026}
}