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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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}},
     journal = {Publications de l'Institut Math\'ematique},
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     number = {105},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a12/}
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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/