LaBonte's method revisited: An effective steepest descent method for micromagnetic energy minimization
Computational Physics
2014-02-04 v1
Abstract
We present a steepest descent energy minimization scheme for micromagnetics. The method searches on a curve that lies on the sphere which keeps the magnitude of the magnetization vector constant. The step size is selected according to a modified Barzilai-Borwein method. Standard linear tetrahedral finite elements are used for space discretization. For the computation of static hysteresis loops the steepest descent minimizer is faster than a Landau-Lifshitz micromagnetic solver by more than a factor of two. The speed up on a graphic processor is 4.8 as compared to the fastest single-core CPU implementation.
Cite
@article{arxiv.1309.5796,
title = {LaBonte's method revisited: An effective steepest descent method for micromagnetic energy minimization},
author = {Lukas Exl and Simon Bance and Franz Reichel and Thomas Schrefl and Hans Peter Stimming and Norbert J. Mauser},
journal= {arXiv preprint arXiv:1309.5796},
year = {2014}
}