• DocumentCode
    1177563
  • Title

    Physical Meaning of the Advantage of A-phi Method in Convergence

  • Author

    Iwashita, Takeshi ; Mifune, Takeshi ; Moriguchi, Soichi ; Shimasaki, Masaaki

  • Author_Institution
    Acad. Center for Comput. & Media Studies, Kyoto Univ., Kyoto
  • Volume
    45
  • Issue
    3
  • fYear
    2009
  • fDate
    3/1/2009 12:00:00 AM
  • Firstpage
    1424
  • Lastpage
    1427
  • Abstract
    In this paper, we present numerical results confirming that the advantage of the A-phi method in the convergence of iterative solvers derives from the reduction of the error of the kernel of the discrete curl operator in the conductive region. We describe a fundamental theory for calculating errors. Using this theory, redundancies in the solution vectors in the A-method or the A-phi method can be processed. We can also define various errors that are used as a tool for examining both methods.
  • Keywords
    convergence of numerical methods; electromagnetic fields; error analysis; iterative methods; mathematical operators; A-phi method; conductive region; convergence; discrete curl operator; electromagnetic field analysis; error calculation; iterative solvers; numerical results; A-method; A-phi method; convergence; iterative method; vector separation;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2009.2012658
  • Filename
    4787456