• DocumentCode
    1237511
  • Title

    Complementary solutions of electrostatic field problems

  • Author

    Rikabi, Ja´far A H ; Bryant, Clive F. ; Freeman, Ernest M.

  • Author_Institution
    Dept. of Electr. Eng., Mil. Coll. of Eng., Baghdad, Iraq
  • Volume
    25
  • Issue
    6
  • fYear
    1989
  • fDate
    11/1/1989 12:00:00 AM
  • Firstpage
    4427
  • Lastpage
    4442
  • Abstract
    A general error form the corresponds to mismatch in the constitutive relationship is used for systematic derivation of complementary solution formulations, and the associated bounds, in electrostatic field problems. A close kinship between the error-based treatment and a general theorem on well-posed boundary conditions is made use of to highlight the role of boundary specifications in determining the expression for the complementary functionals. A combination of complementary computational results, obtained using two-dimensional finite elements is shown to provide valuable insight into numerical behavior
  • Keywords
    electric fields; finite element analysis; numerical methods; boundary conditions; complementary functionals; complementary solution formulations; electrostatic field problems; error-based treatment; numerical behavior; two-dimensional finite elements; Boundary conditions; Capacitance; Computational electromagnetics; Elasticity; Electrostatics; Equations; Finite element methods; Gold; Permittivity; Voltage;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.45323
  • Filename
    45323