Advances in Computational Mathematics

, Volume 28, Issue 1, pp 43–61

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


DOI: 10.1007/s10444-005-9010-z

Cite this article as:
John, V. & Kaya, S. Adv Comput Math (2008) 28: 43. doi:10.1007/s10444-005-9010-z

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.


variational multiscale method finite element method error analysis incompressible Navier–Stokes equations 

Mathematics subject classifications (2000)

65M15 65M60 76F65 

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.FR 6.1 – MathematikUniversität des SaarlandesSaarbrückenGermany
  2. 2.Department of MathematicsMiddle East Technical UniversityAnkaraTurkey

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