• DocumentCode
    1543365
  • Title

    Periodic and Anti-Periodic Boundary Conditions With the Lagrange Multipliers in the FEM

  • Author

    Aubertin, M. ; Henneron, Thomas ; Piriou, F. ; Guérin, P. ; Mipo, J.-C.

  • Author_Institution
    Valeo Electr. Syst., Creteil, France
  • Volume
    46
  • Issue
    8
  • fYear
    2010
  • Firstpage
    3417
  • Lastpage
    3420
  • Abstract
    An approach based on the double Lagrange multipliers is developed using the finite element method in order to impose complex periodic or anti-periodic boundary conditions. The magnetostatic equations are solved using the vector or scalar potential formulations. In order to show the possibilities of the proposed approach, an example of application is studied and the results are discussed.
  • Keywords
    Lagrangian field theory; electromagnetic devices; finite element analysis; magnetostatics; FEM; Lagrange multipliers; antiperiodic boundary conditions; electromagnetic device; finite element method; magnetostatic equations; periodic boundary conditions; scalar potential formulations; vector; Boundary conditions; Current density; Equations; Finite element methods; Inductors; Lagrangian functions; Magnetic domains; Magnetic flux; Magnetostatics; Testing; Finite element method; Lagrange multipliers approach; periodic or anti-periodic boundary conditions; potential formulation;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2010.2046723
  • Filename
    5512954
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1543365