Title :
Efficiency of the geometric integration of Landau-Lifshitz-Gilbert equation based on Cayley transform
Author :
Bottauscio, O. ; Manzin, A.
Author_Institution :
Ist. Naz. di Ricerca Metrologica (INRIM), Torino, Italy
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.
Keywords :
Lyapunov methods; integration; micromagnetics; transforms; Cayley transform; Landau-Lifshitz-Gilbert equation; Lyapunov structure; damping coefficient; geometric integration; maximum time step; mesh size; micromagnetic equation; numerical efficiency; stability; time discretization; Computational modeling; Damping; Equations; Gaussian processes; Hysteresis; Magnetization processes; Micromagnetics; Numerical stability; Saturation magnetization; Transforms;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481860
