• DocumentCode
    737593
  • Title

    Singular, Hierarchical Scalar Basis Functions for Triangular Cells

  • Author

    Graglia, Roberto D. ; Peterson, A.F. ; Matekovits, Ladislau

  • Author_Institution
    Dipt. di Elettron. e Telecomun., Politec. di Torino, Turin, Italy
  • Volume
    61
  • Issue
    7
  • fYear
    2013
  • fDate
    7/1/2013 12:00:00 AM
  • Firstpage
    3674
  • Lastpage
    3692
  • Abstract
    A new family of hierarchical basis functions is proposed for triangular cells. These functions incorporate singular behavior to model fields with corner singularities. The functions are of the additive kind, and combine a traditional polynomial-complete representation on triangles with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. The condition numbers arising from the use of these functions is investigated.
  • Keywords
    cellular radio; finite element analysis; method of moments; FEM; MoM analysis; corner singularities; finite element method; general exponents; hierarchical scalar basis functions; method of moment analysis; model fields; polynomial-complete representation; triangular cells; wedge angle of interest; Basis functions; finite element methods; hierarchical basis functions; singular basis functions; waveguides; wedges;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.2013.2256099
  • Filename
    6492098