LaBonte's method revisited: An effective steepest descent method for micromagnetic energy minimization

By Lukas Exl, S. Bance, F. Reichel, Thomas Schrefl, Hans Peter Stimming, Norbert J. Mauser. 2013

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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.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/a37868badd411e04f3541a7c77dc228f1fc1103b