Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation
Numerical Analysis
2026-02-06 v2 Numerical Analysis
Abstract
We propose a new adaptive algorithm for the approximation of the Landau-Lifshitz-Gilbert equation via a higher-order tangent plane scheme. We show that the adaptive approximation satisfies an energy inequality and demonstrate numerically, that the adaptive algorithm outperforms uniform approaches.
Cite
@article{arxiv.2303.07463,
title = {Adaptive mesh refinement for the Landau-Lifshitz-Gilbert equation},
author = {Jan Bohn and Willy Dörfler and Michael Feischl and Stefan Karch},
journal= {arXiv preprint arXiv:2303.07463},
year = {2026}
}