• DocumentCode
    3060147
  • Title

    The use of Richardson extrapolation in the finite element solution of partial differential equations using wavelet-like basis functions

  • Author

    Harrison, Lee A. ; Hutchcraft, W. Elliott ; Gordon, Richard K. ; Lee, Jin-Fa

  • Author_Institution
    Dept. of Electr. Eng., Mississippi Univ., MS, USA
  • fYear
    1998
  • fDate
    8-10 Mar 1998
  • Firstpage
    98
  • Lastpage
    101
  • Abstract
    The use of wavelet-like basis functions in the finite element solution of partial differential equations is discussed. Once these solutions are obtained, Richardson extrapolation is employed in order to reduce the numerical error. Both construction of the wavelet-like basis functions and implementation of Richardson extrapolation are presented. For comparison, results obtained from a finite element algorithm using traditional basis functions are also presented
  • Keywords
    extrapolation; finite difference methods; finite element analysis; partial differential equations; Richardson extrapolation; finite element solution; numerical error; partial differential equations; wavelet-like basis functions; Extrapolation; Finite element methods; Finite wordlength effects; Hydrogen; Partial differential equations; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
  • Conference_Location
    Morgantown, WV
  • ISSN
    0094-2898
  • Print_ISBN
    0-7803-4547-9
  • Type

    conf

  • DOI
    10.1109/SSST.1998.660026
  • Filename
    660026