A Combined Preconditioning Strategy for Nonsymmetric Systems

Blanca Ayuso Dios, A. T. Barker, P. S. Vassilevski

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We present and analyze a class of nonsymmetric preconditioners within a normal (weighted least-squares) matrix form for use in GMRES to solve nonsymmetric matrix problems that typically arise in finite element discretizations. An example of the additive Schwarz method applied to nonsymmetric but definite matrices is presented for which the abstract assumptions are verified. A variable preconditioner, combining the original nonsymmetric one and a weighted least-squares version of it, is shown to be convergent and provides a viable strategy for using nonsymmetric preconditioners in practice. Numerical results are included to assess the theory and the performance of the proposed preconditioners.
Original languageEnglish (US)
Pages (from-to)A2533-A2556
Number of pages1
JournalSIAM Journal on Scientific Computing
Volume36
Issue number6
DOIs
StatePublished - Jan 2014

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