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.
@article{104444, author = {Milan Pr\'ager}, title = {An iterative method of alternating type for systems with special block matrices}, journal = {Applications of Mathematics}, volume = {36}, year = {1991}, pages = {72-78}, zbl = {0732.65023}, mrnumber = {1093483}, language = {en}, url = {http://dml.mathdoc.fr/item/104444} }
Práger, Milan. An iterative method of alternating type for systems with special block matrices. Applications of Mathematics, Tome 36 (1991) pp. 72-78. http://gdmltest.u-ga.fr/item/104444/
Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal. 23 (1986); 1097-1120. (1986) | Article | MR 0865945
An iterative method for elliptic problems on regions partitioned into substructures, Math. Comput. 4(5 (1986), 361-369. (1986) | MR 0829613
First international symposium on domain decomposition methods for partial differential equations, SIAM, Philadelphia, 1988. (1988) | MR 0972509
A relaxation procedure for domain decomposition methods using finite elements, Numer. Math. 55 (1989), 575-598. (1989) | Article | MR 0998911