• DocumentCode
    1482944
  • Title

    Concise, efficient three-dimensional fast multipole method for micromagnetics

  • Author

    Seberino, Christian ; Bertram, H. Neal

  • Author_Institution
    Center for Magnetic Recording Res., California Univ., San Diego, La Jolla, CA, USA
  • Volume
    37
  • Issue
    3
  • fYear
    2001
  • fDate
    5/1/2001 12:00:00 AM
  • Firstpage
    1078
  • Lastpage
    1086
  • Abstract
    This paper presents derivation of the three-dimensional (3-D) fast multipole method for use in calculating magnetostatic fields. Many other derivations use complex, inefficient, and awkward function normalizations. In this derivation, tensor functions and an operator are defined that greatly simplify the theory and implementation of the algorithm. This paper provides proof of O(N) scaling, implementation, and parallelization tips, performance results, and an error analysis
  • Keywords
    error analysis; magnetic fields; magnetisation; magnetostatics; error analysis; function normalizations; magnetostatic fields; micromagnetics; parallelization; scaling; tensor functions; three-dimensional fast multipole method; Computational modeling; Electromagnetic fields; Error analysis; Fast Fourier transforms; Helium; Lattices; Magnetic recording; Magnetostatics; Micromagnetics; Tensile stress;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.920479
  • Filename
    920479