| Title:
|
Error analysis of the nonlinear multigrid method of the second kind (English) |
| Author:
|
Hackbusch, Wolfgang |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
18-29 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Keyword:
|
multigrid method of the second kind |
| Keyword:
|
coarse grid smoothing iterations |
| Keyword:
|
convergence rate |
| Keyword:
|
numerical tests |
| MSC:
|
35J65 |
| MSC:
|
45B05 |
| MSC:
|
65H10 |
| MSC:
|
65N10 |
| MSC:
|
65N22 |
| MSC:
|
65R20 |
| idZBL:
|
Zbl 0465.65055 |
| idMR:
|
MR0602399 |
| DOI:
|
10.21136/AM.1981.103891 |
| . |
| Date available:
|
2008-05-20T18:16:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103891 |
| . |
| Reference:
|
[1] G. P. Astrachancev: An iteiative method of solving elliptic net problems.Ž. vyčisl. Mat. mat. Fiz. 11 (1971), 439-448 (Russian). |
| Reference:
|
[2] N. S. Bachvalov: On the convergence of a relaxation method with natural constraints on the elliptic operator.Ž. vyčisl. Mat. mat. Fiz. 6 (1966), 861 - 885 (Russian). |
| Reference:
|
[3] A. Brandt: Multi-level adaptive solutions to boundary-value problems.Mathematics of Computation 31 (1977), 333-390. Zbl 0373.65054, MR 0431719, 10.1090/S0025-5718-1977-0431719-X |
| Reference:
|
[4] R. P. Fedorenko: The speed of convergence of one iterative process.Ž. vyčisl. Mat. mat. Fiz. 4 (1964), 559-564 (Russian). Zbl 0148.39501, MR 0182163 |
| Reference:
|
[5] W. Hackbusch: On the convergence of multi-grid iterations.Beiträge zur Numerischen Mathematik 9, to appear 1981. Zbl 0465.65054 |
| Reference:
|
[6] W. Hackbusch: Die schoelle Auflösung der Fredholmschen Integralgleichung zweiter Art.in Beiträge zur Numerischen Mathematik 9, to appear 1981. |
| Reference:
|
[7] W. Hackbusch: On the fast solving of parabolic boundary control problems.SIAM Journal on Control and Optimization 17 (1979), 231 - 244. Zbl 0402.49025, MR 0525024, 10.1137/0317018 |
| Reference:
|
[8] W. Hackbusch: On the fast solving of elliptic control problems.To appear in JOTA. |
| Reference:
|
[9] W. Hackbusch: On the fast solution of nonlinear elliptic equations.Numerische Mathematik 32 (1979), 83-95. MR 0525639, 10.1007/BF01397652 |
| Reference:
|
[10] W. Hackbusch: Numerical solution of nonlinear equations by the multi-grid iteration of the second kind.In: Numerical Methods for Non-linear Problems, Vol. 1 (C. Taylor, E. Hinton, O. R. J. Owen, eds.). Swansea: Pineridge Press 1980. MR 0820282 |
| . |
