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Applications of Mathematics
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Article . 1992
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Applications of Mathematics
Article . 1992 . Peer-reviewed
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https://dx.doi.org/10.21136/am...
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Acceleration of convergence of a two-level algorithm by smoothing transfer operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 Czech Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Applications of Mathematics, volume 37, pages 265-274 (issn: 0862-7940, eissn: 1572-9109, Copyright policy )
Authors: Vaněk, Petr;

doi: 10.21136/am.1992.104509

Acceleration of convergence of a two-level algorithm by smoothing transfer operators

Abstract

The prolongation step of the algebraic multigrid method is studied. A variant where one step of the Jacobi iteration is used to smooth the solution is proved to work well in symmetric positive definite cases.

Keywords

Iterative numerical methods for linear systems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, smoothing transfer operators, algebraic multigrid method, Jacobi iteration, acceleration of convergence, two-level algorithm

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
53
Top 10%
Top 1%
Average
bronze