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

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Authors

Djoko, J.K. (Jules Kamdem)
Konlack Socgnia, V.
Mbehou, M.

Journal Title

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Volume Title

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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.

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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.