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Condition number analysis for various forms of block matrix preconditioners
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SYSNO ASEP 0350870 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Condition number analysis for various forms of block matrix preconditioners Author(s) Axelsson, Owe (UGN-S) RID
Karátson, J. (HU)Number of authors 2 Source Title Electronic Transactions on Numerical Analysis. - : Kent State University - ISSN 1068-9613
Roč. 36, č. 36 (2010), s. 168-194Number of pages 26 s. Publication form www - www Language eng - English Country US - United States Keywords preconditioning ; Poincar´e–Steklov operator ; strengthened Cauchy-Schwarz-Bunyakowski inequality ; approximate block factorization ; Schur complement Subject RIV JC - Computer Hardware ; Software R&D Projects 1ET400300415 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z30860518 - UGN-S (2005-2011) UT WOS 000207784800012 Annotation Various forms of preconditioners for elliptic finite element matrices are studied, based on suitable block matrix partitionings. Bounds for the resulting condition numbers are given, including a study of sensitivity to jumps in the coefficients and to the constant in the strengthened Cauchy-Schwarz-Bunyakowski inequality. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2011
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