A FINITE ELEMENT METHOD FOR 3D EXTERIOR OSEEN FLOWS: ERROR ESTIMATES

摘要

Stationary Oseen flows in a 3D exterior domain are discretized by applying a P1- P1 stabilized finite element method to the Oseen system in a truncated exterior domain, with an implicit pointwise artificial boundary condition on the truncating boundary. Error estimates are proved for this discretization. The paper extends an approach which was introduced by Guirguis and Gunzburger [RAIRO Model. Math. Anal. Num′er., 21 (1987), pp. 445–464] for exterior Stokes flows. The stabilized P1-P1 method in question was introduced by Rebollo [Numer. Math., 79 (1998), pp. 283–319].