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Preconditioners for the discretized time-harmonic Maxwell equations in mixed form

✍ Scribed by Chen Greif; Dominik Schötzau

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
271 KB
Volume
14
Category
Article
ISSN
1070-5325

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✦ Synopsis

Abstract

We introduce a new preconditioning technique for iteratively solving linear systems arising from finite element discretization of the mixed formulation of the time‐harmonic Maxwell equations. The preconditioners are motivated by spectral equivalence properties of the discrete operators, but are augmentation free and Schur complement free. We provide a complete spectral analysis, and show that the eigenvalues of the preconditioned saddle point matrix are strongly clustered. The analytical observations are accompanied by numerical results that demonstrate the scalability of the proposed approach. Copyright © 2007 John Wiley & Sons, Ltd.

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