• DocumentCode
    1501555
  • Title

    3-D Stochastic Spectral Finite-Element Method in Static Electromagnetism Using Vector Potential Formulation

  • Author

    Beddek, Karim ; Le Menach, Yvonnick ; Clenet, Stephane ; Moreau, Olivier

  • Author_Institution
    L2EP, USTL, Villeneuve-d´´Ascq, France
  • Volume
    47
  • Issue
    5
  • fYear
    2011
  • fDate
    5/1/2011 12:00:00 AM
  • Firstpage
    1250
  • Lastpage
    1253
  • Abstract
    Stochastic spectral finite-element method can be used to take into account some random aspects in the input data (material characteristic, source terms) involved in static electromagnetism problems. Similarly to the deterministic case, two potential formulations can be used in the stochastic case. The vector potential formulation applied to static problems is developed and compared to the scalar potential one, previously developed.
  • Keywords
    electromagnetism; finite element analysis; magnetostatics; vectors; 3D stochastic spectral finite-element method; scalar potential; static electromagnetism; vector potential formulation; Chaos; Electric potential; Polynomials; Random variables; Stochastic processes; Symmetric matrices; Vectors; Finite element; random variables; static fields; stochastic PDE;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2010.2076274
  • Filename
    5754662
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1501555