| Title:
|
An iterative method of alternating type for systems with special block matrices (English) |
| Author:
|
Práger, Milan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
72-78 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An iterative procedure for systems with matrices originalting from the domain decomposition technique is proposed. The procedure introduces one iteration parameter. The convergence and optimization of the method with respect to the parameter is investigated. The method is intended not as a preconditioner for the CG method but for the independent use. (English) |
| Keyword:
|
iterative methods |
| Keyword:
|
block matrix |
| Keyword:
|
domain decomposition |
| Keyword:
|
numerical example |
| MSC:
|
35J25 |
| MSC:
|
65F10 |
| MSC:
|
65N30 |
| MSC:
|
65N55 |
| idZBL:
|
Zbl 0732.65023 |
| idMR:
|
MR1093483 |
| DOI:
|
10.21136/AM.1991.104444 |
| . |
| Date available:
|
2008-05-20T18:40:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104444 |
| . |
| Reference:
|
[1] P. Bjørstad O. Widlund: Iterative methods for the solution of elliptic problems on regions partitioned into substructures.SIAM J. Numer. Anal. 23 (1986); 1097-1120. MR 0865945, 10.1137/0723075 |
| Reference:
|
[2] J. Bramble J. Pasciak A. Schatz: An iterative method for elliptic problems on regions partitioned into substructures.Math. Comput. 4(5 (1986), 361-369. MR 0829613 |
| Reference:
|
[3] R. Glowinski G. H. Golub G. A. Meurant J. Périaux: First international symposium on domain decomposition methods for partial differential equations.SIAM, Philadelphia, 1988. MR 0972509 |
| Reference:
|
[4] L. D. Marini A. Quarteroni: A relaxation procedure for domain decomposition methods using finite elements.Numer. Math. 55 (1989), 575-598. MR 0998911, 10.1007/BF01398917 |
| . |
