| Title:
|
Fast multigrid solver (English) |
| Author:
|
Vaněk, Petr |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
1-20 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a black-box solver based on combining the unknowns aggregation with smoothing is suggested. Convergence is improved by overcorrection. Numerical experiments demonstrate the efficiency. (English) |
| Keyword:
|
algebraic multigrid method |
| Keyword:
|
smoothing |
| Keyword:
|
unknowns aggregation |
| Keyword:
|
black-box solver |
| MSC:
|
35J25 |
| MSC:
|
65F10 |
| MSC:
|
65N55 |
| MSC:
|
65Y15 |
| idZBL:
|
Zbl 0824.65016 |
| idMR:
|
MR1305645 |
| DOI:
|
10.21136/AM.1995.134274 |
| . |
| Date available:
|
2009-09-22T17:46:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134274 |
| . |
| Reference:
|
[lit1] R. Blaheta: Iterative Methods for Numerical Solving of the Boundary Value Problems of Elasticity.Thesis, Ostrava, 1989. (Czech) |
| Reference:
|
[lit2] S. Míka, P. Vaněk: Modification of the Two-level Algorithm with Overcorrection.Appl. Math. 37 (1992), no. 1. MR 1152154 |
| Reference:
|
[lit3] S. Míka, P. Vaněk: The Acceleration of Two-level Algorithm by Aggregation in Smoothing Process.Appl. Math. 37 (1992), no. 5. MR 1175929 |
| Reference:
|
[lit4] P. Vaněk: Acceleration of a Two-level Algorithm by Smoothing Transfer Operators.Appl. Math. 37 (1992), no. 4.. MR 1180605 |
| Reference:
|
[lit5] W. Hackbusch: Multi-Grid Methods and Applications.Springer-Verlag, 1985. Zbl 0595.65106 |
| Reference:
|
[lit6] J. Mandel: Adaptive Iterative Solvers in Finite Elements.(to appear). |
| Reference:
|
[lit7] O. Axelsson, V.A. Barker: Finite Element Solution of Boundary Value Problems.Academic Press, 1984. MR 0758437 |
| Reference:
|
[lit8] S.F. McCormick: Multi-Grid Methods.SIAM (1987). |
| Reference:
|
[lit9] P. Leitl: private communication.Nynice, 1993. |
| Reference:
|
[lit10] J. Mandel: Balancing Domain Decomposition.Communications in Numerical Methods in Engineering 9 (1993). Zbl 0796.65126, MR 1208381, 10.1002/cnm.1640090307 |
| . |
