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A geometric integration technique based on Cayley transform is applied to the time discretization of the Landau-Lifshitz-Gilbert equation. The numerical efficiency is studied, focusing on the influence of damping coefficient and mesh size on the maximum time step that guarantees stability and preservation of the Lyapunov structure of the micromagnetic equation.

Efficiency of the geometric integration of Landau-Lifshitz-Gilbert equation based on Cayley transform / Bottauscio, Oriano; Manzin, Alessandra. - In: IEEE TRANSACTIONS ON MAGNETICS. - ISSN 0018-9464. - 47:(2011), pp. 1154-1157. [10.1109/TMAG.2010.2095831]

Efficiency of the geometric integration of Landau-Lifshitz-Gilbert equation based on Cayley transform

BOTTAUSCIO, ORIANO;MANZIN, ALESSANDRA
2011

Abstract

A geometric integration technique based on Cayley transform is applied to the time discretization of the Landau-Lifshitz-Gilbert equation. The numerical efficiency is studied, focusing on the influence of damping coefficient and mesh size on the maximum time step that guarantees stability and preservation of the Lyapunov structure of the micromagnetic equation.
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11696/32535
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