Geodesic
Stability of a finite element method for 3D exterior stationary Navier-Stokes flows
Applications of Mathematics, Tome 52 (2007) no. 1, pp. 59-94.

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We consider numerical approximations of stationary incompressible Navier-Stokes flows in 3D exterior domains, with nonzero velocity at infinity. It is shown that a P1-P1 stabilized finite element method proposed by C. Rebollo: A term by term stabilization algorithm for finite element solution of incompressible flow problems, Numer. Math. 79 (1998), 283–319, is stable when applied to a Navier-Stokes flow in a truncated exterior domain with a pointwise boundary condition on the artificial boundary.
DOI : 10.1007/s10492-007-0003-8
Classification : 35Q30, 65N30, 76D05, 76M10
Keywords: stationary incompressible Navier-Stokes flows; exterior domains; stabilized finite element methods; stability estimates 
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Deuring, Paul. Stability of a finite element method for 3D exterior stationary Navier-Stokes flows. Applications of Mathematics, Tome 52 (2007) no. 1, pp. 59-94. doi : 10.1007/s10492-007-0003-8. http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0003-8/

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