Year: 2014
Author: J. K. Djoko
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 34–53
Abstract
This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretized in time based on backward Euler's scheme. We prove existence and uniqueness of the solution of the time discrete problem by means of a regularization approach. Finally, we derive error estimates that justify the convergence property of the discretization proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-513
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 34–53
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Stokes equations slip boundary condition variational inequality regularization convexity monotone.