✦ LIBER ✦

Multipreconditioned GMRES method for electromagnetic wave scattering problems

✍ Scribed by P. L. Rui; H. Yong; R. S. Chen

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 131 KB
Volume: 50
Category: Article
ISSN: 0895-2477
DOI: 10.1002/mop.23004

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✦ Synopsis

Abstract

A new multipreconditioned generalized minimal residual method (GMRES) combined with the multilevel fast multipole method (MLFMM) is proposed for efficiently solving large dense complex linear systems that arise in electromagnetic wave scattering problems. The MLFMM is used to accelerate the matrix‐vector product operations, and the multipreconditioning technique is employed to speed up the convergence rate of the GMRES iterations. Unlike traditional preconditioning techniques, which usually work alone, the multipreconditioned GMRES algorithm has the capability to combine different preconditioning techniques all together. Numerical results show that the convergence rate of the GMRES method can be significantly improved by automatically taking advantages of all available preconditioners. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 150–152, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23004

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