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Relaxation schemes for spectral multigrid methods - MaRDI portal

Relaxation schemes for spectral multigrid methods (Q579893)

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scientific article; zbMATH DE number 4016121
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English
Relaxation schemes for spectral multigrid methods
scientific article; zbMATH DE number 4016121

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    Relaxation schemes for spectral multigrid methods (English)
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    1987
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    Firstly this paper updates a paper of the author, \textit{T. A. Zang} and \textit{M. Y. Hussaini} [IMA J. Numer. Anal. 6, 273-292 (1986; Zbl 0624.65119)]. Two new forms of preconditioning by line relaxation are considered additionally, which were proposed for multigrid methods by \textit{A. Brandt} [Math. Comput. 31, 333-390 (1977; Zbl 0373.65054)]. Numerical results for selfadjoint periodic elliptic problems are presented, which show, that incomplete LU decompositions are most effective in comparison with the other methods mentioned.
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    spectral collocation method
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    preconditioning
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    line relaxation
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    multigrid methods
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    selfadjoint periodic elliptic problems
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    incomplete LU decompositions
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