Efficient Energy-minimization in Finite-Difference Micromagnetics: Speeding up Hysteresis Computations

TL;DR

This paper introduces an efficient energy-minimization algorithm for finite-difference micromagnetics, significantly speeding up hysteresis loop computations and enabling large system analysis with high accuracy on CPUs and GPUs.

Contribution

The paper presents a novel energy-minimization method that outperforms traditional time integration in speed, specifically optimized for hysteresis calculations in micromagnetics.

Findings

Achieves up to 100x speedup over time integration methods.

Accurately computes hysteresis loops for large systems.

Validates method against μMag Standard Problem #1.

Abstract

We implement an efficient energy-minimization algorithm for finite-difference micromagnetics that proofs especially useful for the computation of hysteresis loops. Compared to results obtained by time integration of the Landau-Lifshitz-Gilbert equation, a speedup of up to two orders of magnitude is gained. The method is implemented in a finite-difference code running on CPUs as well as GPUs. This setup enables us to compute accurate hysteresis loops of large systems with a reasonable computational effort. As a benchmark we solve the {\mu}Mag Standard Problem #1 with a high spatial resolution and compare the results to the solution of the Landau-Lifshitz-Gilbert equation in terms of accuracy and computing time.