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A general approach to analyse preconditioners two-by-two block matrices
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SYSNO ASEP 0373829 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A general approach to analyse preconditioners two-by-two block matrices Author(s) Axelsson, Owe (UGN-S) RID Number of authors 1 Source Title Numerical Linear Algebra with Applications. - : Wiley - ISSN 1070-5325
Roč. 19, č. 2 (2012), s. 1-20Number of pages 20 s. Publication form www - www Language eng - English Country GB - United Kingdom Keywords block preconditioning ; nonsymmetric matrices ; saddle point systems Subject RIV BA - General Mathematics R&D Projects GA105/09/1830 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z30860518 - UGN-S (2005-2011) UT WOS 000324378700002 DOI 10.1002/nla.830 Annotation Two–by–two block matrices arise in various applications, such as in domain decomposition methods or when solving boundary value problems discretised by finite elements from the separation of the node set of the mesh into ’fine’ and ’coarse’ nodes. Matrices with such a structure, in saddle point form arise also in mixed variable finite element methods and in constrained optimisation problems. A general algebraic approach to construct, analyse and control the accuracy of preconditioners for matrices in two–by–two block form is presented. This includes both symmetric and nonsymmetric matrices, as well as indefinite matrices. The action of the preconditioners can involve element–by–element approximations and/or geometric multigrid/multilevel methods. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2013 Electronic address http://www.quosafulltext.com/sc_ddm/sc_ddm.jsp
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