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An optimal order error estimate for an upwind discretization of the Navier—Stokes equations

✍ Scribed by F. Schieweck; L. Tobiska

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
611 KB
Volume
12
Category
Article
ISSN
0749-159X

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✦ Synopsis

We analyze a finite-element approximation of the stationary incompressible Navier-Stokes equations in primitive variables. This approximation is based on the nonconforming P I/Po element pair of Crouzeix/Raviart and a special upwind discretization of the convective term. An optimal error estimate in a discrete HI-norm for the velocity and in the L'-norm for the pressure is proved. Some numerical results are presented.

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