• DocumentCode
    1556298
  • Title

    A high-accuracy realization of the Yee algorithm using non-standard finite differences

  • Author

    Cole, James B.

  • Author_Institution
    Inst. for Inf. Sci. & Electron., Tsukuba Univ., Japan
  • Volume
    45
  • Issue
    6
  • fYear
    1997
  • fDate
    6/1/1997 12:00:00 AM
  • Firstpage
    991
  • Lastpage
    996
  • Abstract
    New nonstandard second-order finite differences (FD´s) are introduced, which when substituted into the Yee algorithm, reduce the solution error by a factor of 10-4 on a coarse computational grid. Using λ/h (grid spacings per wavelength)=8, one achieves the same accuracy as the standard Yee algorithm does at λ/h=1140. In addition, greater algorithmic stability allows a reduction in the number of iterations needed to solve a problem
  • Keywords
    Maxwell equations; finite difference time-domain analysis; numerical stability; Maxwell equations; Yee algorithm; computational grid; iteration; nonstandard second-order finite differences; solution error; stability; Animation; Computational efficiency; Data visualization; Finite difference methods; Grid computing; Helium; Laplace equations; Maxwell equations; Stability; Time domain analysis;
  • fLanguage
    English
  • Journal_Title
    Microwave Theory and Techniques, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9480
  • Type

    jour

  • DOI
    10.1109/22.588615
  • Filename
    588615