• DocumentCode
    1227275
  • Title

    A Robust Maxwell Formulation for All Frequencies

  • Author

    Hiptmair, Ralf ; Krämer, Florian ; Ostrowski, Jörg

  • Author_Institution
    SAM-Seminar for Appl. Math., Zurich
  • Volume
    44
  • Issue
    6
  • fYear
    2008
  • fDate
    6/1/2008 12:00:00 AM
  • Firstpage
    682
  • Lastpage
    685
  • Abstract
    A novel unified method for the stable numerical solution of the time-harmonic Maxwell´s equations for any frequency is presented. The method is based on an extended variational formulation of the full linear Maxwell´s equations. This formulation avoids stability problems in the stationary limit, where it reduces to the equations of electrostatics and magnetostatics. Both capacitive and inductive effects are taken into account in a robust fashion for all frequencies.
  • Keywords
    Maxwell equations; electrostatics; finite element analysis; magnetostatics; variational techniques; capacitive effect; electrostatic equation; finite element method; inductive effect; linear Maxwell´s equations; magnetostatic equation; robust Maxwell formulation; time-harmonic Maxwell´s equations; variational formulation; Finite elements; full Maxwell model; low-frequency limit; stability;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2007.915991
  • Filename
    4526888