• DocumentCode
    2615773
  • 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
  • fYear
    2010
  • fDate
    9-12 May 2010
  • Firstpage
    1
  • Lastpage
    1
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    978-1-4244-7059-4
  • Type

    conf

  • DOI
    10.1109/CEFC.2010.5481860
  • Filename
    5481860