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Title: A multilevel method with correction by aggregation for solving discrete elliptic problems (English)
Author: Blaheta, Radim
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 31
Issue: 5
Year: 1986
Pages: 365-378
Summary lang: English
Summary lang: Russian
Summary lang: Czech
Category: math
Summary: The author studies the behaviour of a multi-level method that combines the Jacobi iterations and the correction by aggragation of unknowns. Our considerations are restricted to a simple one-dimensional example, which allows us to employ the technique of the Fourier analysis. Despite of this restriction we are able to demonstrate differences between the behaviour of the algorithm considered and of multigrid methods employing interpolation instead of aggregation. (English)
Keyword: multilevel method
Keyword: correction by aggregation
Keyword: convergence acceleration
Keyword: multigrid method
Keyword: Jacobi relaxation
Keyword: aggregation method
Keyword: coarse grid correction
MSC: 35J25
MSC: 65F10
MSC: 65L10
MSC: 65L60
MSC: 65N22
idZBL: Zbl 0615.65103
idMR: MR0863032
DOI: 10.21136/AM.1986.104214
Date available: 2008-05-20T18:30:40Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] W. Hackbusch U. Trottenberg, eds.: Multigrid methods.Lecture Notes in Math. 960, Springer-Verlag, Berlin 1982. MR 0685772
Reference: [2] K. Stüben U. Trottenberg: Multigrid Methods: Fundamental Algorithms.Model Problem Analysis and Applications, in [1]. MR 0685773
Reference: [3] W. Hackbusch: Multigrid Convergence [1].
Reference: [4] A. Brondt: Algebraic Multigrid Theory: The Symmetric Case.Preliminary Proceedings of the International Multigrid Conference, Copper Mountain, Colorado, April 6-8, 1983.
Reference: [5] Z. Dostál, al.: Numerical Methods and Mathematical Modelling for Determination of the Stress Field in the Rock Mass.Res. report, Mining Institute of the Czech. Acad. Sci., Ostrava 1985 (in Czech).
Reference: [6] R. Blaheta: A Multi-Level Method with Correction by Aggregation for Solving Discrete Elliptic Problems.preliminary version, Ostrava 1984.


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