• DocumentCode
    781370
  • Title

    Variational nature of Galerkin and non-Galerkin moment method solutions

  • Author

    Peterson, Andrew F. ; Wilton, Donald R. ; Jorgenson, Roy E.

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    44
  • Issue
    4
  • fYear
    1996
  • fDate
    4/1/1996 12:00:00 AM
  • Firstpage
    500
  • Lastpage
    503
  • Abstract
    There is renewed interest in the use of variational methods in conjunction with numerical solutions of electromagnetic radiation and scattering problems. The variational aspects of secondary calculations based on a method of moments (MoM) solution are investigated. These calculations exhibit a type of second-order accuracy, regardless of whether or not the operator being discretized is self-adjoint, and regardless of whether or not testing functions are identical to the basis functions (Galerkin´s method). Numerical results support these conclusions and suggest that the advantage of Galerkin´s method in actual calculations is grossly overstated
  • Keywords
    Galerkin method; electromagnetic wave scattering; method of moments; variational techniques; Galerkin moment method solutions; MoM solution; basis functions; electromagnetic radiation problems; electromagnetic scattering problems; method of moments; nonGalerkin moment method solutions; numerical results; numerical solutions; second-order accuracy; self-adjoint operator; testing functions; variational methods; Automatic testing; Current density; Electromagnetic radiation; Electromagnetic scattering; Integral equations; Laboratories; Message-oriented middleware; Moment methods;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/8.489301
  • Filename
    489301