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

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DOMAIN DECOMPOSITION SCHEMES FOR THE STOKES EQUATION

Petr N. Vabishchevich

Keldysh Institute of Applied Mathematics, 4 Miusskaya Square, 125047 Moscow, Russia

Abstract: 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, operator-splitting schemes

Classification (MSC2000): 65M06; 65M12; 76D07

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Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.

© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
© 2012 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition