Discontinuous Galerkin finite element discretization for steady stokes flows with threshold slip boundary condition

dc.contributor.authorDjoko, J.K. (Jules Kamdem)
dc.contributor.emailjules.djokokamdem@up.ac.zaen_US
dc.date.accessioned2014-06-27T07:39:09Z
dc.date.issued2013
dc.description.abstractThis 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_US
dc.description.librarianhb2014en_US
dc.description.urihttp://www.tandfonline.com/loi/tqma20en_US
dc.identifier.citationJ.K. Djoko (2013) Discontinuous Galerkin finite element discretization for steady Stokes flows with threshold slip boundary condition, Quaestiones Mathematicae, 36:4, 501-516.en_US
dc.identifier.issn0379-9468 (print)
dc.identifier.issn1727-933X (print)
dc.identifier.other10.2989/16073606.2013.779966
dc.identifier.urihttp://hdl.handle.net/2263/40435
dc.language.isoenen_US
dc.publisherTaylor & Francisen_US
dc.rights© 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.en_US
dc.subjectStokes equationsen_US
dc.subjectSlip boundary conditionen_US
dc.subjectVariational inequalityen_US
dc.subjectDiscontinuous Galerkin methoden_US
dc.subjectA priori error estimateen_US
dc.subjectConvergenceen_US
dc.titleDiscontinuous Galerkin finite element discretization for steady stokes flows with threshold slip boundary conditionen_US
dc.typePostprint Articleen_US

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