APPLICATION OF CONJUGATE GRADIENT METHOD FOR THE SOLUTION OF TWO DIMENSIONAL FIELD PROBLEMS.

K. Nayanathara, Sadasiva M. Rao, Tapan Kumar Sarkar

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

Abstract

The authors apply the conjugate gradient (CG) method to electromagnetic scattering by infinite conducting cylinders for both the transverse magnetic (TM) and transverse electric (TE) cases, thus demonstrating the ability of this method to handle two-dimensional field problems. The operator equations involved in these two cases are Fredholm integral equations of first and second kind in the complex domain. It is concluded that the CG method is applicable to a variety of field problems and forms a powerful and alternate approach to the method of moments. The TM and TE cases for a conducting cylinder are presented. The derivation of the adjoint operator equation for both cases is also discussed. Numerical results are presented for EM scattering by a conducting elliptic cylinder.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
PublisherIEEE Computer Society
Pages281-284
Number of pages4
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Nayanathara, K., Rao, S. M., & Sarkar, T. K. (1985). APPLICATION OF CONJUGATE GRADIENT METHOD FOR THE SOLUTION OF TWO DIMENSIONAL FIELD PROBLEMS. In IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) (pp. 281-284). IEEE Computer Society.