Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation
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Date
Authors
Djoko, J.K. (Jules Kamdem)
Konlack Socgnia, V.
Mbehou, M.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We 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.
Description
Keywords
Nonlinear slip boundary condition, Variational inequalities, Iterative schemes, Convergence, Nonlinear equations, Uzawa's algorithms, Heat equation, Finite element approximation, A-priori estimates, Variational techniques, Partial differential equation, Iterative methods, Heat transfer, Boundary condition
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Citation
Djoko, 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.