• DocumentCode
    1051100
  • Title

    Conformal Galerkin testing for VIE using parametric geometry

  • Author

    Usner, B.C. ; Sertel, K. ; Volakis, J.L.

  • Author_Institution
    Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
  • Volume
    40
  • Issue
    15
  • fYear
    2004
  • fDate
    7/22/2004 12:00:00 AM
  • Firstpage
    926
  • Lastpage
    927
  • Abstract
    A moment method solution of a volume integral equation (VIE) using parametric geometry is presented. Typical Galerkin testing is shown not to be appropriate for curvilinear geometries, and a new testing scheme is proposed. By exploiting the orthogonality relationships between covariant and contravariant unitary vectors, testing functions in contravariant projection form and field expansion basis in covariant projection form were chosen.
  • Keywords
    Galerkin method; computational electromagnetics; dielectric materials; finite volume methods; geometry; integral equations; magnetic materials; method of moments; conformal Galerkin testing; contravariant projection; contravariant unitary vectors; covariant projection; covariant unitary vectors; curvilinear geometries; finite volume methods; method of moments; parametric geometry; testing functions; volume integral equation;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20045004
  • Filename
    1318872
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1051100