A Finite Element Discretization of the Three-dimensional Navier–stokes Equations with Mixed Boundary Conditions
نویسندگان
چکیده
We consider a variational formulation of the three-dimensional Navier–Stokes equations with mixed boundary conditions and prove that the variational problem admits a solution provided that the domain satisfies a suitable regularity assumption. Next, we propose a finite element discretization relying on the Galerkin method and establish a priori and a posteriori error estimates. Mathematics Subject Classification. 65N30, 65N15, 65J15. Received December 1st, 2008. Revised May 25, 2009. Published online August 21, 2009.
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تاریخ انتشار 2008