Efficient Energyminimization in Finite-Difference Micromagnetics: Speeding up Hysteresis Computations

Claas Abert, Gregor Wautischer, Florian Bruckner, Armin Satz, Dieter Suess
Christian Doppler Laboratory for Advanced Magnetic Sensing and Materials, Institute for Solid State
arXiv:1405.2728 [physics.comp-ph], (12 May 2014)



We implement an efficient energy-minimization algorithm for finite-difference micromagnetics that proofs especially usefull 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 efford. 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.
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