Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2005, Volume 8, Number 2, Pages 127–142 (Mi sjvm215)  
This article is cited in 1 scientific paper (total in 1 paper)

Using a compensation principle in the algebraic multilevel iteration method for finite element matrices

M. R. Larinab

a Rhenish-Westphalian Technical University, Institute für Geometrie und Praktische Mathematik
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: In the present paper, an improved version of the algebraic multilevel iteration (AMLI) method for finite element matrices, which was offered in [6], is proposed. To improve the quality of the AMLI-preconditioner, or (which is the same) to speed up the rate of convergence, a family of iterative parameters defined on an error compensation principle is proposed and analyzed. The performance results on standard test problems are presented and discussed.
Key words: algebraic multilevel iteration method, preconditioned conjugate gradient method, finite element approximation.
Received: 01.09.2004
Bibliographic databases:
MSC: 65F10, 65N22
Language: English
Citation: M. R. Larin, “Using a compensation principle in the algebraic multilevel iteration method for finite element matrices”, Sib. Zh. Vychisl. Mat., 8:2 (2005), 127–142
Citation in format AMSBIB
\Bibitem{Lar05}
\by M.~R.~Larin
\paper Using a~compensation principle in the algebraic multilevel iteration method for finite element matrices
\jour Sib. Zh. Vychisl. Mat.
\yr 2005
\vol 8
\issue 2
\pages 127--142
\mathnet{http://mi.mathnet.ru/sjvm215}
\zmath{https://zbmath.org/?q=an:1079.65030}
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