Preconditioned MLFMA solution of multiple dielectric-metallic composite objects with the electric and magnetic current combined-field integral equation (JMCFIE)

Date
2009-06
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Source Title
IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), 2009
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Publisher
IEEE
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Pages
1 - 4
Language
English
Type
Conference Paper
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Abstract

We consider fast and accurate solutions of scattering problems involving multiple dielectric and composite dielectric-metallic structures with three-dimensional arbitrary shapes. Problems are formulated rigorously with the electric and magnetic current combined-field integral equation (JMCFIE), which produces well-conditioned matrix equations. Equivalent electric and magnetic surface currents are discretized by using the Rao-Wilton-Glisson (RWG) functions defined on planar triangles. Matrix equations obtained with JMCFIE are solved iteratively by employing a Krylov subspace algorithm, where the required matrix- vector multiplications are performed efficiently with the multilevel fast multipole algorithm (MLFMA). We also present a four-partition block-diagonal preconditioner (4PBDP), which provides efficient solutions of JMCFIE by reducing the number of iterations significantly. The resulting implementation based on JMCFIE, MLFMA, and 4PBDP is tested on large electromagnetics problems.

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Keywords
Integral equations, Testing, Electromagnetic scattering, Transmission line matrix methods, Influenza, MLFMA, Dielectric losses, Shape, Iterative algorithms, H infinity control
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Published Version (Please cite this version)