Numerische Mathematik

, Volume 114, Issue 2, pp 233–270 | Cite as

Finite element error estimates for 3D exterior incompressible flow with nonzero velocity at infinity



We consider a stationary incompressible Navier–Stokes flow in a 3D exterior domain, with nonzero velocity at infinity. In order to approximate this flow, we use the stabilized P1–P1 finite element method proposed by Rebollo (Numer Math 79:283–319, 1998). Following an approach by Guirguis and Gunzburger (Model Math Anal Numer 21:445–464, 1987), we apply this method to the Navier–Stokes system with Oseen term in a truncated exterior domain, under a pointwise boundary condition on the artificial boundary. This leads to a discrete problem whose solution approximates the exterior flow, as is shown by error estimates.

Mathematics Subject Classification (2000)

Primary: 35Q30 65N30 76D05 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Univ Lille Nord de FranceLilleFrance
  2. 2.ULCO, LMPACalaisFrance

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