On the testing of the identity operator and the accuracy improvement of the second-kind SIEs

Su Yan, Jianming Jin, Zaiping Nie

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Surface integral equations (SIEs) are widely used in the numerical analysis of electromagnetic wave scattering and radiation problems. However, the second-kind Fredholm integral equations are always found to produce less accurate numerical solutions than their first-kind counterparts. Among the variety of error sources, the discretization error due to the identity operator contributes the most. When the low-order basis functions, such as the Rao-Wilton-Glisson (RWG) basis functions, are used to expand the unknown current densities, the Galerkin's testing introduces a significant error in the solution. In this paper, the Buffa-Christiansen (BC) functions are shown to be a better testing function than the RWG function in the context of the method of weighted residuals (MWR). By using the BC as the testing functions, the numerical error of the identity operator, as well as that of the second-kind integral equations, are suppressed dramatically. Several numerical examples are given to demonstrate the accuracy improvement in both perfect electric conductor and dielectric scattering cases.

Original languageEnglish (US)
Title of host publication2011 IEEE International Symposium on Antennas and Propagation - Proceedings
Pages3185-3188
Number of pages4
DOIs
StatePublished - Nov 1 2011
Event2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 - Spokane, WA, United States
Duration: Jul 3 2011Jul 8 2011

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)1522-3965

Other

Other2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
CountryUnited States
CitySpokane, WA
Period7/3/117/8/11

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Yan, S., Jin, J., & Nie, Z. (2011). On the testing of the identity operator and the accuracy improvement of the second-kind SIEs. In 2011 IEEE International Symposium on Antennas and Propagation - Proceedings (pp. 3185-3188). [5997210] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)). https://doi.org/10.1109/APS.2011.5997210