Djoko, J.K. (Jules Kamdem)2014-06-272013J.K. Djoko (2013) Discontinuous Galerkin finite element discretization for steady Stokes flows with threshold slip boundary condition, Quaestiones Mathematicae, 36:4, 501-516.0379-9468 (print)1727-933X (print)10.2989/16073606.2013.779966http://hdl.handle.net/2263/40435This 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.en© 2013 NISC (Pty) Ltd. This is an electronic version of an article published in Quaestiones Mathematicae, vol.36, pp. 501-516, 2013. doi : 10.2989/16073606.2013.779966. Quaestiones Mathematicae is available online at : http://www.tandfonline.com/loi/tqma20.Stokes equationsSlip boundary conditionVariational inequalityDiscontinuous Galerkin methodA priori error estimateConvergencePostprint Article