, Volume 28, Issue 1, pp 43-61
Date: 06 Dec 2006

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

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The paper presents finite element error estimates of a variational multiscale method (VMS) for the 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.

Communicated by Jinchao Xu
This work is partially supported by NSF grants DMS9972622, DMS20207627 and INT9814115.