Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation

dc.contributor.authorDjoko, J.K. (Jules Kamdem)
dc.contributor.authorKonlack Socgnia, V.
dc.contributor.authorMbehou, M.
dc.contributor.emailjules.djokokamdem@up.ac.zaen_ZA
dc.date.accessioned2018-09-28T05:30:11Z
dc.date.issued2018-12
dc.description.abstractWe 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_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2019-12-01
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipJ.K. Djoko is supported financially by the National research foundation of South Africa.en_ZA
dc.description.urihttp://www.elsevier.com/locate/camwaen_ZA
dc.identifier.citationDjoko, 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.en_ZA
dc.identifier.issn0898-1221 (print)
dc.identifier.issn1873-7668 (online)
dc.identifier.other10.1016/j.camwa.2018.08.057
dc.identifier.urihttp://hdl.handle.net/2263/66658
dc.language.isoenen_ZA
dc.publisherElsevieren_ZA
dc.rights© 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.en_ZA
dc.subjectNonlinear slip boundary conditionen_ZA
dc.subjectVariational inequalitiesen_ZA
dc.subjectIterative schemesen_ZA
dc.subjectConvergenceen_ZA
dc.subjectNonlinear equationsen_ZA
dc.subjectUzawa's algorithmsen_ZA
dc.subjectHeat equationen_ZA
dc.subjectFinite element approximationen_ZA
dc.subjectA-priori estimatesen_ZA
dc.subjectVariational techniquesen_ZA
dc.subjectPartial differential equationen_ZA
dc.subjectIterative methodsen_ZA
dc.subjectHeat transferen_ZA
dc.subjectBoundary conditionen_ZA
dc.titleIterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equationen_ZA
dc.typePostprint Articleen_ZA

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