Improving the accuracy of the second-kind fredholm integral equations by using the Buffa-Christiansen functions

Su Yan, Jian Ming Jin, Zaiping Nie

Research output: Contribution to journalArticle

Abstract

In computational electromagnetics, the second-kind Fredholm integral equations are known to have very fast iterative convergence but rather poor solution accuracy compared with the first-kind Fredholm integral equations. The error source of the second-kind integral equations can mainly be attributed to the discretization error of the identity operators. In this paper, a scheme is presented to significantly suppress such discretization error by using the Buffa-Christiansen functions as the testing function, leading to much more accurate solutions of the second-kind integral equations, while maintaining their fast convergence properties. Numerical experiments are designed to investigate and demonstrate the accuracy improvement of the second-kind surface integral equations in both perfect electric conductor and dielectric cases by using the presented discretization scheme.

Original languageEnglish (US)
Article number5704188
Pages (from-to)1299-1310
Number of pages12
JournalIEEE Transactions on Antennas and Propagation
Volume59
Issue number4
DOIs
StatePublished - Apr 1 2011

Keywords

  • Accuracy analysis
  • Buffa-Christiansen functions
  • N-Müller integral equations
  • Rayleigh-Ritz scheme
  • identity operator
  • magnetic-field integral equation
  • second-kind integral equations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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