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arXiv · 1405.2728

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

Claas Abert·Gregor Wautischer·Florian Bruckner·Armin Satz·Dieter Suess
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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 μMag 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.

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Claas Abert, Gregor Wautischer, Florian Bruckner, Armin Satz, Dieter Suess. 2014-05-27. Efficient Energy-minimization in Finite-Difference Micromagnetics: Speeding up Hysteresis Computations. https://doi.org/10.1063/1.4896360

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