On the choice of optimal basis functions for MoM/SIE, MoM/VIE, FEM and hybrid methods

Branko M. Kolundzija, Tapan K. Sarkor

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

Abstract

Analysis of composite metallic and dielectrics structures placed in a time-harmonic electromagnetic field is usually based on the MoM (Method of Moments), or FEM (Finite Element Method). Particularly, if MoM is applied to SIE (Surface Integral Equation), the method is termed as MoM/SIE, and if MoM is applied to VIE (Volume Integral Equation) the method is termed as MoM/VIE. Besides that, all these methods can be mutually combined giving different types of hybrid methods. Efficiency of all these methods depends greatly on the choice of basis functions. A variety of basis functions is used by different authors. Sometimes it seems that basis functions written in one notation and used by one method are completely different from and without any connection with basis functions written in another notation and used by another method. In addition, it seems that some of the used basis functions are not optimally adopted. The first goal of this paper is to show that practically all basis functions used in MoM/SIE, MoM/VIE and FEM belong to a few general classes of basis functions. The second goal is to establish the set of desired properties of basis functions used in each of the methods. Finally, the third goal is to compare different classes of basis functions starting from the set of desired properties, and choose the optimal classes of basis functions.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
Subtitle of host publicationGateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
PublisherIEEE Computer Society
Pages278-281
Number of pages4
ISBN (Print)0780344782, 9780780344785
DOIs
StatePublished - Jan 1 1998
Event1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998 - Atlanta, United States
Duration: Jun 21 1998Jun 26 1998

Publication series

NameIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
Volume1

Conference

Conference1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
CountryUnited States
CityAtlanta
Period6/21/986/26/98

ASJC Scopus subject areas

  • Instrumentation
  • Radiation
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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    Kolundzija, B. M., & Sarkor, T. K. (1998). On the choice of optimal basis functions for MoM/SIE, MoM/VIE, FEM and hybrid methods. In IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting (pp. 278-281). [699132] (IEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting; Vol. 1). IEEE Computer Society. https://doi.org/10.1109/APS.1998.699132