Publications de l'Institut Mathématique, Nouvelle Série Vol. 91(105), pp. 155–162 (2012) 

DOMAIN DECOMPOSITION SCHEMES FOR THE STOKES EQUATIONPetr N. VabishchevichKeldysh Institute of Applied Mathematics, 4 Miusskaya Square, 125047 Moscow, RussiaAbstract: Numerical algorithms for solving problems of mathematical physics on modern parallel computers employ various domain decomposition techniques. Domain decomposition schemes are developed here to solve numerically initial/boundary value problems for the Stokes system of equations in the primitive variables pressure–velocity. Unconditionally stable schemes of domain decomposition are based on the partition of unit for a computational domain and the corresponding Hilbert spaces of grid functions. Keywords: Viscous incompressible flows, numerical methods, domain decomposition techniques, operatorsplitting schemes Classification (MSC2000): 65M06; 65M12; 76D07 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.
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