• DocumentCode
    1237156
  • Title

    Simple and Efficient Numerical Evaluation of Near-Hypersingular Integrals

  • Author

    Fink, Patrick W. ; Wilton, Donald R. ; Khayat, Michael A.

  • Author_Institution
    Johnson Space Center, NASA, Houston, TX
  • Volume
    7
  • fYear
    2008
  • fDate
    6/30/1905 12:00:00 AM
  • Firstpage
    469
  • Lastpage
    472
  • Abstract
    Simple and efficient numerical procedures for evaluating the gradient of Helmholtz-type potentials are presented. The convergence behavior of both normal and tangential components of the gradient is examined. It is also shown that the scheme for handling near-hypersingular integrals is effective for handling nearly singular potential integrals as well, so the same quadrature scheme may be used for both simultaneously.
  • Keywords
    convergence of numerical methods; gradient methods; integral equations; integration; Helmholtz-type potential; convergence behavior; efficient numerical procedure; gradient method; near-hypersingular integral; quadrature scheme; tangential component; Computation theory; integral equations; numerical integration;
  • fLanguage
    English
  • Journal_Title
    Antennas and Wireless Propagation Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1536-1225
  • Type

    jour

  • DOI
    10.1109/LAWP.2008.2000788
  • Filename
    4531787