A Combined Finite Element-Boundary Integral Formulation for Solution of Two-Dimensional Scattering Problems via CGFFT

Jeffery D. Collins, John L. Volakis, Jianming Jin

Research output: Contribution to journalArticle

Abstract

A new technique is presented for computing the scattering by two-dimensional structures of arbitrary inhomogeneity. The proposed approach combines the usual finite element (FE) method with the boundary integral equation to formulate a discrete system. This is subsequently solved via the conjugate gradient (CG) algorithm. A particular characteristic of the method is the use of rectangular boundaries to enclose the scatterer. Several of the resulting boundary integrals are then convolutions and may be evaluated via the fast Fourier transform (FFT) in the implementation of the CG algorithm. The solution approach offers the principle advantage of having O(N) memory demand and employs a one-dimensional FFT versus a two-dimensional FFT as required in a traditional implementation of the CG-FFT algorithm. The speed of the proposed solution method is compared with that of the traditional CG-FFT algorithm. Results are presented for several rectangular composite cylinders and one perfectly conducting cylinder. These are shown to be in excellent agreement with the moment method.

Original languageEnglish (US)
Pages (from-to)1852-1858
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume38
Issue number11
DOIs
StatePublished - Nov 1990
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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