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Title: Fast multigrid solver (English)
Author: Vaněk, Petr
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 40
Issue: 1
Year: 1995
Pages: 1-20
Summary lang: English
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Category: math
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Summary: In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency. (English)
Keyword: algebraic multigrid method
Keyword: smoothing
Keyword: unknowns aggregation
Keyword: black-box solver
MSC: 35J25
MSC: 65F10
MSC: 65N55
MSC: 65Y15
idZBL: Zbl 0824.65016
idMR: MR1305645
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Date available: 2009-09-22T17:46:04Z
Last updated: 2012-05-06
Stable URL: http://hdl.handle.net/10338.dmlcz/134274
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Reference: [lit1] R. Blaheta: Iterative Methods for Numerical Solving of the Boundary Value Problems of Elasticity.Thesis, Ostrava, 1989. (Czech)
Reference: [lit2] S. Míka, P. Vaněk: Modification of the Two-level Algorithm with Overcorrection.Appl. Math. 37 (1992), no. 1. MR 1152154
Reference: [lit3] S. Míka, P. Vaněk: The Acceleration of Two-level Algorithm by Aggregation in Smoothing Process.Appl. Math. 37 (1992), no. 5. MR 1175929
Reference: [lit4] P. Vaněk: Acceleration of a Two-level Algorithm by Smoothing Transfer Operators.Appl. Math. 37 (1992), no. 4.. MR 1180605
Reference: [lit5] W. Hackbusch: Multi-Grid Methods and Applications.Springer-Verlag, 1985. Zbl 0595.65106
Reference: [lit6] J. Mandel: Adaptive Iterative Solvers in Finite Elements.(to appear).
Reference: [lit7] O. Axelsson, V.A. Barker: Finite Element Solution of Boundary Value Problems.Academic Press, 1984. MR 0758437
Reference: [lit8] S.F. McCormick: Multi-Grid Methods.SIAM (1987).
Reference: [lit9] P. Leitl: private communication.Nynice, 1993.
Reference: [lit10] J. Mandel: Balancing Domain Decomposition.Communications in Numerical Methods in Engineering 9 (1993). Zbl 0796.65126, MR 1208381
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