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Preconditioning of matrices partitioned in 2 x 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM
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SYSNO ASEP 0350871 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Preconditioning of matrices partitioned in 2 x 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM Author(s) Axelsson, Owe (UGN-S) RID
Blaheta, Radim (UGN-S) RID, SAI, ORCIDNumber of authors 2 Source Title Numerical Linear Algebra with Applications. - : Wiley - ISSN 1070-5325
Roč. 17, č. 5 (2010), s. 787-810Number of pages 23 s. Publication form www - www Language eng - English Country GB - United Kingdom Keywords iterative solution methods ; saddle point problems ; preconditioning block matrices ; domain decomposition ; heterogeneous problems ; regularization Subject RIV JC - Computer Hardware ; Software R&D Projects GA105/09/1830 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z30860518 - UGN-S (2005-2011) UT WOS 000283388500005 DOI 10.1002/nla.728 Annotation A general framework for constructing preconditioners for 2 x 2 block matrices is presented, and eigenvalue bounds of the preconditioned matrices are derived The results are applied both for positive-definite problems and for saddle point matrices of regularized forms. Eigenvalues and minimal polynomials for certain limit cases are derived A domain decomposition method, with overlap, is used to solve the pivot block of the regularized matrix. Special attention is paid to problems with heterogeneous coefficients Copyright (C) 2010 John Wiley & Sons, Ltd. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2011
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