Evaluation of stationary block iterative techniques for the solution of finite arrays using the FE-BI method and domain decomposition

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Abstract

In this paper, the Finite Element-Boundary Integral (FE-BI) method is used in the context of stationary iteration techniques to solve for the radiation patterns of linear and planar finite arrays of identical elements. The radiating element is a cavity-backed slot/patch (CBS/P) antenna which is decomposed into the interior region and the aperture region. The array elements are coupled to each other through the aperture unknowns and the free-space Green's function. The resulting block matrix system is solved using one of three stationary block iterative techniques namely the Jacobi method, the Gauss-Seidel (GS) method, and the Successive Over-relaxation (SOR) method. The rate of convergence and computational statistics of each of these block iterative techniques are examined and compared with each other.

Original languageEnglish
Title of host publicationProceedings of The European Conference on Antennas and Propagation
Subtitle of host publicationEuCAP 2006
Volume626 SP
Publication statusPublished - Oct 2006
EventEuropean Conference on Antennas and Propagation: EuCAP 2006 - Nice, France
Duration: 6 Nov 200610 Nov 2006

Other

OtherEuropean Conference on Antennas and Propagation: EuCAP 2006
Country/TerritoryFrance
CityNice
Period6/11/0610/11/06

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