• DocumentCode
    998966
  • Title

    Mode pushing and stiff convergent problems

  • Author

    Torfeh-Isfahani, M. ; Torre, E. Della

  • Author_Institution
    GMI Engineering and Management Institute, Flint, MI.
  • Volume
    19
  • Issue
    6
  • fYear
    1983
  • fDate
    11/1/1983 12:00:00 AM
  • Firstpage
    2527
  • Lastpage
    2530
  • Abstract
    Stiff Convergent Problems are the ones that have some modes that converge very slowly when solved using iterative techniques. Mode pushing (MP), superimposed on these techniques, is a method of accelerating convergence of only these modes. This paper discusses the theory of the MP method and a practical algorithm which estimates the stiff convergent eigenfunctions and uses them to accelerate the convergence of the iterative process. The estimation process can also be extended to the case of two or more stiff modes. It is seen that the complexity of the estimation process increases with number of modes to be estimated.
  • Keywords
    Matrices; Nonlinear differential equations; Partial differential equations; Acceleration; Convergence; Differential equations; Eigenvalues and eigenfunctions; Iterative algorithms; Iterative methods; Jacobian matrices; Nonlinear equations; Partial differential equations; Solid modeling;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.1983.1062813
  • Filename
    1062813