• DocumentCode
    786931
  • Title

    Computing Maxwell eigenvalues by using higher order edge elements in three dimensions

  • Author

    Ainsworth, Mark ; Coyle, Joe ; Ledger, Paul D. ; Morgan, Ken

  • Author_Institution
    Math. Dept., Strathclyde Univ., Glasgow, UK
  • Volume
    39
  • Issue
    5
  • fYear
    2003
  • Firstpage
    2149
  • Lastpage
    2153
  • Abstract
    We use recently proposed hierarchic basis functions and a tetrahedral partitioning to compute Maxwell eigenvalues on a bounded polygonal domain in R3, using a p-version finite-element procedure based on edge elements. The problem formulation requires a set of basis functions that are H(curl)-conforming and another compatible set that is H1-conforming. In this preliminary study, we employ a uniform order of approximation throughout the domain.
  • Keywords
    Maxwell equations; eigenvalues and eigenfunctions; finite element analysis; functional analysis; H(curl)-conforming basis functions; Maxwell eigenvalues; bounded polygonal domain; hierarchic basis functions; higher order edge elements; p-version finite-element procedure; tetrahedral partitioning; three dimensions; uniform order of approximation; Conductivity; Councils; Eigenvalues and eigenfunctions; Electromagnetic scattering; Finite element methods; Helium; Mathematics; Maxwell equations; Resonance; Resonant frequency;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2003.817097
  • Filename
    1233025
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=786931