Abstract:
This work is concerned with the discontinuous Galerkin nite approxima-
tions for the steady Stokes equations driven by slip boundary condition of \friction"
type. Assuming that the
ow region is a bounded, convex domain with a regular
boundary, we formulate the problem and its discontinuous Galerkin approximations
as mixed variational inequalities of the second kind with primitive variables. The well
posedness of the formulated problems are established by means of a generalization
of the Babu ska-Brezzi theory for mixed problems. Finally, a priori error estimates
using energy norm for both the velocity and pressure are obtained.
