Smoothed prolongation multigrid with rapid coarsening and massive smoothing

Petr Vaněk

Applications of Mathematics (2012)

  • Volume: 57, Issue: 1, page 1-10
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Vaněk, Petr. "Smoothed prolongation multigrid with rapid coarsening and massive smoothing." Applications of Mathematics 57.1 (2012): 1-10. <http://eudml.org/doc/246389>.

@article{Vaněk2012,
abstract = {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.},
author = {Vaněk, Petr},
journal = {Applications of Mathematics},
keywords = {smoothed prolongations; rapid coarsening; massive smoothing; multigrid method; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle; multigrid method; smoothed prolongation; rapid coarsening; massive smoothing; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle},
language = {eng},
number = {1},
pages = {1-10},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Smoothed prolongation multigrid with rapid coarsening and massive smoothing},
url = {http://eudml.org/doc/246389},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Vaněk, Petr
TI - Smoothed prolongation multigrid with rapid coarsening and massive smoothing
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 1
EP - 10
AB - 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.
LA - eng
KW - smoothed prolongations; rapid coarsening; massive smoothing; multigrid method; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle; multigrid method; smoothed prolongation; rapid coarsening; massive smoothing; convergence; algebraic multigrid method; algorithm; V-cycle; W-cycle
UR - http://eudml.org/doc/246389
ER -

References

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  1. Bramble, J. H., Pasciak, J. E., Wang, J., Xu, J., 10.1090/S0025-5718-1991-1079008-4, Math. Comput. 57 (1991), 23-45. (1991) Zbl0727.65101MR1079008DOI10.1090/S0025-5718-1991-1079008-4
  2. Brezina, M., Heberton, C., Mandel, J., Vaněk, P., An iterative method with convergence rate chosen a priori UCD/CCM, Report No. 140 (1999). (1999) 
  3. Vaněk, P., Brezina, M., Tezaur, R., 10.1137/S1064827596297112, SIAM J. Sci Comput. 21 (1999), 900-923. (1999) MR1755171DOI10.1137/S1064827596297112
  4. Vaněk, P., Mandel, J., Brezina, M., 10.1007/BF02238511, Computing 56 (1996), 179-196. (1996) MR1393006DOI10.1007/BF02238511
  5. Vaněk, P., Acceleration of convergence of a two-level algorithm by smoothing transfer operators, Appl. Math. 37 (1992), 265-274. (1992) MR1180605
  6. Vaněk, P., Brezina, M., Mandel, J., 10.1007/s211-001-8015-y, Numer. Math. 88 (2001), 559-579. (2001) MR1835471DOI10.1007/s211-001-8015-y

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