Geodesic
An iterative method of alternating type for systems with special block matrices
Applications of Mathematics, Tome 36 (1991) no. 1, pp. 72-78

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/AM.1991.104444
Classification : 35J25, 65F10, 65N30, 65N55
Keywords: iterative methods; block matrix; domain decomposition; numerical example 
Práger, Milan. An iterative method of alternating type for systems with special block matrices. Applications of Mathematics, Tome 36 (1991) no. 1, pp. 72-78. doi: 10.21136/AM.1991.104444
@article{10_21136_AM_1991_104444,
     author = {Pr\'ager, Milan},
     title = {An iterative method of alternating type for systems with special block matrices},
     journal = {Applications of Mathematics},
     pages = {72--78},
     year = {1991},
     volume = {36},
     number = {1},
     doi = {10.21136/AM.1991.104444},
     mrnumber = {1093483},
     zbl = {0732.65023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104444/}
}
TY  - JOUR
AU  - Práger, Milan
TI  - An iterative method of alternating type for systems with special block matrices
JO  - Applications of Mathematics
PY  - 1991
SP  - 72
EP  - 78
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104444/
DO  - 10.21136/AM.1991.104444
LA  - en
ID  - 10_21136_AM_1991_104444
ER  - 
%0 Journal Article
%A Práger, Milan
%T An iterative method of alternating type for systems with special block matrices
%J Applications of Mathematics
%D 1991
%P 72-78
%V 36
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104444/
%R 10.21136/AM.1991.104444
%G en
%F 10_21136_AM_1991_104444

[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. | DOI | MR

[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

[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

[4] L. D. Marini A. Quarteroni: A relaxation procedure for domain decomposition methods using finite elements. Numer. Math. 55 (1989), 575-598. | DOI | MR

Cité par Sources :