Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening
Applications of Mathematics, Tome 63 (2018) no. 6, pp. 629-641
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A variational two-level method in the class of methods with an aggressive coarsening and a massive polynomial smoothing is proposed. The method is a modification of the method of Section 5 of Tezaur, Vaněk (2018). Compared to that method, a significantly sharper estimate is proved while requiring only slightly more computational work.
DOI :
10.21136/AM.2018.0314-17
Classification :
65F10, 65M55
Keywords: two-level method; aggressive coarsening; smoothed aggregation; polynomial smoother; convergence analysis
Keywords: two-level method; aggressive coarsening; smoothed aggregation; polynomial smoother; convergence analysis
@article{10_21136_AM_2018_0314_17,
author = {Tezaur, Radek and Van\v{e}k, Petr},
title = {Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening},
journal = {Applications of Mathematics},
pages = {629--641},
publisher = {mathdoc},
volume = {63},
number = {6},
year = {2018},
doi = {10.21136/AM.2018.0314-17},
mrnumber = {3893003},
zbl = {07031680},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2018.0314-17/}
}
TY - JOUR AU - Tezaur, Radek AU - Vaněk, Petr TI - Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening JO - Applications of Mathematics PY - 2018 SP - 629 EP - 641 VL - 63 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.2018.0314-17/ DO - 10.21136/AM.2018.0314-17 LA - en ID - 10_21136_AM_2018_0314_17 ER -
%0 Journal Article %A Tezaur, Radek %A Vaněk, Petr %T Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening %J Applications of Mathematics %D 2018 %P 629-641 %V 63 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.2018.0314-17/ %R 10.21136/AM.2018.0314-17 %G en %F 10_21136_AM_2018_0314_17
Tezaur, Radek; Vaněk, Petr. Improved convergence estimate for a multiply polynomially smoothed two-level method with an aggressive coarsening. Applications of Mathematics, Tome 63 (2018) no. 6, pp. 629-641. doi: 10.21136/AM.2018.0314-17
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