# Finite element analysis for Stokes and Navier-Stokes equations driven by threshold slip boundary conditions

 dc.contributor.author Djoko, J.K. (Jules Kamdem) dc.contributor.author Mbehou, M. dc.date.accessioned 2014-07-11T09:22:46Z dc.date.available 2014-07-11T09:22:46Z dc.date.issued 2013 dc.description.abstract This paper is devoted to the study of finite element approximations of variational en_US inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational inequalities, a fixed point strategy is used to show existence of solutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes equations converge respectively to the solutions of each continuous problems. Finally, Uzawa’s algorithm is formulated and convergence of the procedure is shown, and numerical validation test is achieved. dc.description.librarian am2014 en_US dc.description.uri http://www.math.ualberta.ca/ijnam/ en_US dc.identifier.citation Djoko, JK & Mbehou, M 2013, 'Finite element analysis for Stokes and Navier-Stokes equations driven by threshold slip boundary conditions', International Journal of Numerical Analysis and Modeling, vol. 4, no. 3, pp. 235-255. en_US dc.identifier.issn 1705-5105 dc.identifier.uri http://hdl.handle.net/2263/40732 dc.language.iso en en_US dc.publisher Institute for Scientific Computing and Information en_US dc.rights © 2013 Institute for Scientific Computing and Information en_US dc.subject Stokes/Navier-Stokes equations en_US dc.subject Nonlinear slip boundary conditions en_US dc.subject Variational inequality en_US dc.subject Finite element method en_US dc.subject Error estimate en_US dc.subject Uzawa’s algorithm en_US dc.title Finite element analysis for Stokes and Navier-Stokes equations driven by threshold slip boundary conditions en_US dc.type Article en_US
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