A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation
Numerical Analysis
2026-03-19 v1 Numerical Analysis
Abstract
In this paper, we propose a structure preserving method using a Crank-Nicolson's type method with an implicit Gauss-Seidel fractional iteration. Such a method is of first-order accuracy in time and second-order accuracy in space, stable and length preserving. Such a proposed method brings great benefits for the theoretical analysis. The numerical accuracy, norm preserving and stability are verified for 1D and 3D tests.
Keywords
Cite
@article{arxiv.2603.17477,
title = {A New Fractional Step Structure Preserving Method for The Landau-Lifshitz-Gilbert Equation},
author = {Changjian Xie},
journal= {arXiv preprint arXiv:2603.17477},
year = {2026}
}