Geodesic
Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 3, pp. 549-574

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In a recent paper [4] we have proposed and analysed a suitable mathematical model which describes the coupling of the Navier-Stokes with the Oseen equations. In this paper we propose a numerical solution of the coupled problem by subdomain splitting. After a preliminary analysis, we prove a convergence result for an iterative algorithm that alternates the solution of the Navier-Stokes problem to the one of the Oseen problem.

Classification : 76D05, 65M55, 65M60, 65M70
Keywords: Navier-Stokes equations, domain decomposition methods, iterative schemes, convergence analysis 
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     author = {Fatone, L. and Gervasio, P. and Quarteroni, A.},
     title = {Multimodels for incompressible flows : iterative solutions for the {Navier-Stokes} / {Oseen} coupling},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {549--574},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {3},
     year = {2001},
     mrnumber = {1837084},
     zbl = {1039.76031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_549_0/}
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Fatone, L.; Gervasio, P.; Quarteroni, A. Multimodels for incompressible flows : iterative solutions for the Navier-Stokes / Oseen coupling. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 3, pp. 549-574. http://geodesic.mathdoc.fr/item/M2AN_2001__35_3_549_0/