Domain Decomposition Schemes for the Stokes Equation
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 155 .

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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.
Classification : 65M06 65M12 76D07
Keywords: Viscous incompressible flows, numerical methods, domain decomposition techniques, operator-splitting schemes
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     author = {Petr N. Vabishchevich},
     title = {Domain {Decomposition} {Schemes} for the {Stokes} {Equation}},
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Petr N. Vabishchevich. Domain Decomposition Schemes for the Stokes Equation. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 155 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a12/