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Zbl 1126.76030
John, Volker; Kaya, Songul
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations. (English)
[J] Adv. Comput. Math. 28, No. 1, 43-61 (2008). ISSN 1019-7168; ISSN 1572-9044/e

Summary: The paper presents error estimates of a finite element variational multiscale method for incompressible Navier-Stokes equations. The constants in these estimates do not depend on the Reynolds number but on a reduced Reynolds number or on the mesh size of a coarse mesh.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65M15 Error bounds (IVP of PDE)
65M30 Improperly posed problems (IVP of PDE, numerical methods)

Keywords: reduced Reynolds number; mesh size; coarse mesh

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Zentralblatt MATH Berlin [Germany]