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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2005, Volume 8, Number 2, Pages 127–142
(Mi sjvm215)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjvm215 https://www.mathnet.ru/eng/sjvm/v8/i2/p127
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Abstract page: | 275 | Full-text PDF : | 80 | References: | 41 |
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