Table of Contents
ISRN Applied Mathematics
Volume 2013 (2013), Article ID 905723, 8 pages
http://dx.doi.org/10.1155/2013/905723
Research Article

New Preconditioning Techniques for Saddle Point Problems Arising from the Time-Harmonic Maxwell Equations

Department of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang 315100, China

Received 2 July 2013; Accepted 4 August 2013

Academic Editors: S.-W. Chyuan and Y. Qin

Copyright © 2013 Qingbing Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study two parameterized preconditioners for iteratively solving the saddle point linear systems arising from finite element discretization of the mixed formulation of the time-harmonic Maxwell equations in electromagnetic problems. We establish some spectral properties of the preconditioned saddle point matrices, involving the choice of the parameter. Meanwhile, we provide some results of numerical experiments to show the effectiveness of the proposed parameterized preconditioners.