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Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems
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SYSNO ASEP 0447835 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems Author(s) Marcinkowski, L. (PL)
Rahman, T. (NO)
Loneland, A. (NO)
Valdman, Jan (UTIA-B) RID, ORCIDSource Title Bit. - : Springer - ISSN 0006-3835
Roč. 56, č. 3 (2016), s. 967-993Number of pages 27 s. Publication form Print - P Language eng - English Country SE - Sweden Keywords Domain decomposition ; Additive Schwarz method ; Finite volume element ; GMRES Subject RIV BA - General Mathematics R&D Projects GA13-18652S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000382137200008 EID SCOPUS 84944564373 DOI 10.1007/s10543-015-0581-x Annotation A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a class of finite volume element discretization of the symmetric elliptic problem in two dimensions, with large jumps in the entries of the coefficient matrices across subdomains. It is shown that the convergence of the preconditioned generalized minimal residual iteration using the proposed preconditioners depends polylogarithmically, in other words weakly, on the mesh parameters, and that they are robust with respect to the jumps in the coefficients. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2017
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