Geodesic
An overview of multilevel methods with aggressive coarsening and massive polynomial smoothing
Electronic transactions on numerical analysis, Tome 44 (2015), pp. 401-442.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We review our two-level and multilevel methods with aggressive coarsening and polynomial smoothing. These methods can be seen as a less expensive and more flexible (in the multilevel case) alternative to domain decomposition methods. The polynomial smoothers employed by the reviewed methods consist of a sequence of Richardson iterations and can be performed using up to $n$ processors, where $n$ is the size of the considered matrix, thereby allowing for a higher level of parallelism than domain decomposition methods.
Classification : 65F10, 65M55
Keywords: multigrid, aggressive coarsening, optimal convergence result 
@article{ETNA_2015__44__a10,
     author = {Brousek, Jan and Frankov\'a, Pavla and Hanu\v{s}, Milan and Kopincov\'a, Hana and Ku\v{z}el, Roman and Tezaur, Radek and Van\v{e}k, Petr and Vastl, Zbyn\v{e}k},
     title = {An overview of multilevel methods with aggressive coarsening and massive polynomial smoothing},
     journal = {Electronic transactions on numerical analysis},
     pages = {401--442},
     publisher = {mathdoc},
     volume = {44},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2015__44__a10/}
}
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AU  - Franková, Pavla
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AU  - Vaněk, Petr
AU  - Vastl, Zbyněk
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%A Brousek, Jan
%A Franková, Pavla
%A Hanuš, Milan
%A Kopincová, Hana
%A Kužel, Roman
%A Tezaur, Radek
%A Vaněk, Petr
%A Vastl, Zbyněk
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%J Electronic transactions on numerical analysis
%D 2015
%P 401-442
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%I mathdoc
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Brousek, Jan; Franková, Pavla; Hanuš, Milan; Kopincová, Hana; Kužel, Roman; Tezaur, Radek; Vaněk, Petr; Vastl, Zbyněk. An overview of multilevel methods with aggressive coarsening and massive polynomial smoothing. Electronic transactions on numerical analysis, Tome 44 (2015), pp. 401-442. http://geodesic.mathdoc.fr/item/ETNA_2015__44__a10/