Stability of a finite element method for 3D exterior stationary Navier-Stokes flows |
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Authors: | Paul Deuring |
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Affiliation: | (1) Laboratoire de Mathématiques Pures et Appliquées, Université du Littoral, B.P. 699, 62228 Calais cédex, France |
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Abstract: | 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. |
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Keywords: | stationary incompressible Navier-Stokes flows exterior domains stabilized finite element methods stability estimates |
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