• DocumentCode
    1428586
  • Title

    Mixed finite element method for magnetostatics in R3

  • Author

    Bandelier, Bernard ; Rioux-Damidau, Fransoise

  • Author_Institution
    Univ. de Paris-Sud, Orsay, France
  • Volume
    34
  • Issue
    5
  • fYear
    1998
  • fDate
    9/1/1998 12:00:00 AM
  • Firstpage
    2473
  • Lastpage
    2476
  • Abstract
    We present a mixed formulation for magnetostatics with magnetic field H and magnetic vector potential A as state variables. H is interpolated with edge elements and A with facet elements. The solution of the discretized problem is unique. However, the matrix of the system of equations is ill-conditioned. We give an efficient algorithm to solve it and present numerical results for Problem 13 of TEAM Workshop which show the good accuracy provided by this method
  • Keywords
    finite element analysis; interpolation; magnetostatics; matrix algebra; algorithm; edge elements; facet elements; interpolation; magnetic field; magnetic vector potential; magnetostatics; matrix; mixed finite element method; numerical discretization; Current density; Finite element methods; Inductors; Integral equations; Magnetic domains; Magnetic fields; Magnetostatics; Maxwell equations; Permeability; Testing;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.717569
  • Filename
    717569