Djoko, J.K. (Jules Kamdem)Konlack Socgnia, V.Mbehou, M.2018-09-282018-12Djoko, J.K., Socgnia, V.K. & Mbehou, M. 2018, 'Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation', Computers and Mathematics with Applications, vol. 76, no. 11-12, pp. 2613-2634.0898-1221 (print)1873-7668 (online)10.1016/j.camwa.2018.08.057http://hdl.handle.net/2263/66658We study two iterative schemes for the finite element approximation of the heat equation coupled with Stokes flow under nonlinear slip boundary conditions of friction type. The iterative schemes are based on Uzawa’s algorithm in which we decouple the computation of the velocity and pressure from that of the temperature by means of linearization. We derive some a priori estimates and prove convergence of these schemes. The theoretical results obtained are validated by means of numerical simulations.en© 2018 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Computers and Mathematics with Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Computers and Mathematics with Applications, vol. 76, no. 11-12, pp. 2613-2634, 2018, doi : 10.1016/j.camwa.2018.08.057.Nonlinear slip boundary conditionVariational inequalitiesIterative schemesConvergenceNonlinear equationsUzawa's algorithmsHeat equationFinite element approximationA-priori estimatesVariational techniquesPartial differential equationIterative methodsHeat transferBoundary conditionPostprint Article