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Preconditioning of boundary value problems using elementwise Schur complements
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SYSNO ASEP 0333165 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Preconditioning of boundary value problems using elementwise Schur complements Author(s) Axelsson, Owe (UGN-S) RID
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Neytcheva, M. (SE)Number of authors 3 Source Title SIAM Journal on Matrix Analysis and Applications. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0895-4798
Roč. 31, č. 2 (2009), s. 767-789Number of pages 13 s. Publication form WWW - WWW Language eng - English Country US - United States Keywords preconditioning methods ; multilevel methods ; two-by-two block partitioning Subject RIV BA - General Mathematics CEZ AV0Z30860518 - UGN-S (2005-2011) UT WOS 000267745500029 DOI 10.1137/070679673 Annotation This paper deals with an efficient technique for computing high-quality approximations of Schur complement matrices to be used in various preconditioners for the iterative solution of finite element discretizations of elliptic boundary value problems. The Schur complements are based on a two-by-two block decomposition of the matrix, and their approximations are computed by assembly of local (macroelement) Schur complements. The block partitioning is done by imposing a particular node ordering following the grid refinement hierarchy in the discretization mesh. For the theoretical derivation of condition number bounds, but not for the actual application of the method, we assume that the corresponding differential operator is self-adjoint and positive definite. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2010
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