Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations

Date
2009-07
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Source Title
Computational Electromagnetics International Workshop, CEM 2009
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
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Pages
44 - 49
Language
English
Type
Conference Paper
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Abstract

We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance of these preconditioners depends on the availability of fast and approximate solutions to reduced matrix systems. We show that sparse-approximate-inverse techniques provide a suitable mechanism for this purpose. The proposed preconditioners are demonstrated to significantly improve convergence rates of dielectric problems formulated with two different surface integral equations. ©2009 IEEE.

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Keywords
Approximate solution, Convergence rates, Inverse techniques, Iterative solutions, Preconditioners, Reduced matrix, Surface integral equations, Integral equations
Citation
Published Version (Please cite this version)