Algebraic approach to domain decomposition

• Autorzy: Milan Práger
• Języki publikacji: EN

Abstrakty

EN

An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.

Słowa kluczowe

EN

block matrix; domain decomposition; iterative methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1994
• Tom: 29
• Numer: 1
• Strony: 207-214

Daty

wydano

1994

Twórcy

autor

Milan Práger

• Matematický ústav AV ČR, Žitná 25, 11567 Praha 1, Czech Republic

Bibliografia

• [1] P. Bjørstad and O. Widlund, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal. 23 (1986), 1097-1120.
• [2] J. Bramble, J. Pasciak and A. Schatz, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comp. 46 (1986), 361-369.
• [3] T. Chan, R. Glowinski, G. A. Meurant, J. Périaux and O. Widlund (eds.), Domain Decomposition Methods, SIAM, Philadelphia 1989.
• [4] R. Glowinski, G. H. Golub, G. A. Meurant and J. Périaux (eds.), First International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia 1988.
• [5] L. D. Marini and A. Quarteroni, A relaxation procedure for domain decomposition methods using finite elements, Numer. Math. 55 (1989), 575-598.
• [6] M. Práger, An iterative method of alternating type for systems with special block matrices, Appl. Math. 36 (1991), 72-78.