Smoothed prolongation multigrid with rapid coarsening and massive smoothing
Applications of Mathematics, Tome 57 (2012) no. 1, pp. 1-10
We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.
We prove that within the frame of smoothed prolongations, rapid coarsening between first two levels can be compensated by massive prolongation smoothing and pre- and post-smoothing derived from the prolongator smoother.
DOI :
10.1007/s10492-012-0001-3
Classification :
35J25, 65M55, 65N22, 65N30, 65N55
Keywords: smoothed prolongations; rapid coarsening; massive smoothing; multigrid method; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle
Keywords: smoothed prolongations; rapid coarsening; massive smoothing; multigrid method; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle
@article{10_1007_s10492_012_0001_3,
author = {Van\v{e}k, Petr},
title = {Smoothed prolongation multigrid with rapid coarsening and massive smoothing},
journal = {Applications of Mathematics},
pages = {1--10},
year = {2012},
volume = {57},
number = {1},
doi = {10.1007/s10492-012-0001-3},
mrnumber = {2891302},
zbl = {1249.65272},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0001-3/}
}
TY - JOUR AU - Vaněk, Petr TI - Smoothed prolongation multigrid with rapid coarsening and massive smoothing JO - Applications of Mathematics PY - 2012 SP - 1 EP - 10 VL - 57 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0001-3/ DO - 10.1007/s10492-012-0001-3 LA - en ID - 10_1007_s10492_012_0001_3 ER -
%0 Journal Article %A Vaněk, Petr %T Smoothed prolongation multigrid with rapid coarsening and massive smoothing %J Applications of Mathematics %D 2012 %P 1-10 %V 57 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0001-3/ %R 10.1007/s10492-012-0001-3 %G en %F 10_1007_s10492_012_0001_3
Vaněk, Petr. Smoothed prolongation multigrid with rapid coarsening and massive smoothing. Applications of Mathematics, Tome 57 (2012) no. 1, pp. 1-10. doi: 10.1007/s10492-012-0001-3
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