Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process
Applications of Mathematics (1992)
- Volume: 37, Issue: 5, page 343-356
- ISSN: 0862-7940
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topMíka, Stanislav, and Vaněk, Petr. "Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process." Applications of Mathematics 37.5 (1992): 343-356. <http://eudml.org/doc/15720>.
@article{Míka1992,
abstract = {A two-level algebraic algorithm is introduced and its convergence is proved. The restriction as well as prolongation operators are defined with the help of aggregation classes. Moreover, a particular smoothing operator is defined in an analogical way to accelarate the convergence of the algorithm. A model example is presented in conclusion.},
author = {Míka, Stanislav, Vaněk, Petr},
journal = {Applications of Mathematics},
keywords = {aggregation class; two-level algorithm; convergence factor; smoothing operator; linear algebraic system; convergence acceleration; two-level algebraic algorithm; convergence; aggregation classes; smoothing operator},
language = {eng},
number = {5},
pages = {343-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process},
url = {http://eudml.org/doc/15720},
volume = {37},
year = {1992},
}
TY - JOUR
AU - Míka, Stanislav
AU - Vaněk, Petr
TI - Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 5
SP - 343
EP - 356
AB - A two-level algebraic algorithm is introduced and its convergence is proved. The restriction as well as prolongation operators are defined with the help of aggregation classes. Moreover, a particular smoothing operator is defined in an analogical way to accelarate the convergence of the algorithm. A model example is presented in conclusion.
LA - eng
KW - aggregation class; two-level algorithm; convergence factor; smoothing operator; linear algebraic system; convergence acceleration; two-level algebraic algorithm; convergence; aggregation classes; smoothing operator
UR - http://eudml.org/doc/15720
ER -
References
top- Blaheta R., Iteration methods for numerical solution of boundary elasticity problems, VÚB, Ostrava, 1987, Dissertation. (In Czech.) (1987)
- Blaheta R., A multi-level method with correction by aggregation for solving discrete elliptic problems, Aplikace matematiky 5 no. 31 (1986), 365-378. (1986) Zbl0615.65103MR0863032
- Brandt A., Algebraic Multigrid Theory: The Symmetric Case, Preliminary Proceedings of the International Multigrid Conference, Copper Mountain, Colorado, April 6-8 1983. (1983)
- Ruge J. W., Stüben K., Algebraic Multigrid, in [5].
- Multigrid Methods. Frontiers in Applied Mathematics, (Mc Cormick, S. F., ed.), Society for industrial and applied mathematics, Philadelphia, Pennsylvania, 1987. (1987) MR0972752
- Míka S., Vaněk P., On the convergence of a two-level algebraic algorithm, Sborník referátů VIII. letní školy Software a algoritmy numerické matematiky (Sušice 1989), JČMF, 1990. (1989)
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