• DocumentCode
    272256
  • Title

    Implementation of enhanced shape functions for non-affine elements

  • Author

    Andriamaro, Gaëlle ; Davydov, Oleg ; Simkin, John

  • Author_Institution
    Dept. of Math. & Stat., Univ. of Strathclyde, Glasgow, UK
  • Volume
    9
  • Issue
    2
  • fYear
    2015
  • fDate
    3 2015
  • Firstpage
    184
  • Lastpage
    188
  • Abstract
    The performance of different edge vector basis functions is compared for non-affine elements. Improved accuracy is measured by comparing the calculated eigenvalues of the electromagnetic field distribution in a cavity with analytical results. Enhanced H(curl)-conforming basis functions are numerically shown to preserve the optimal approximation properties of the finite element on non-affine hexahedra.
  • Keywords
    approximation theory; eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; vectors; edge vector basis function; eigenvalues calculation; electromagnetic field distribution; enhanced H(curl)-conforming basis function; enhanced shape function implementation; finite element analysis; nonaffine element; nonaffine hexahedra; optimal approximation property;
  • fLanguage
    English
  • Journal_Title
    Science, Measurement & Technology, IET
  • Publisher
    iet
  • ISSN
    1751-8822
  • Type

    jour

  • DOI
    10.1049/iet-smt.2014.0191
  • Filename
    7060801