A posteriori error estimators for the fully discrete time dependent Stokes problem with some different boundary conditions |
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| Authors: | Fida El Chami Toni Sayah |
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| Affiliation: | 1. Faculté des Sciences II, Département de Mathématiques, Université Libanaise, B.P. 90656, Fanar-Maten, Liban
2. Faculté des Sciences, Université Saint-Joseph, B.P. 11-514, Riad El Solh, Beyrouth, 1107 2050, Liban
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| Abstract: | In this paper we study the time dependent Stokes problem with some different boundary conditions. We establish a decoupled variational formulation into a system of velocity and a Poisson equation for the pressure. Hence, the velocity is approximated with curl conforming finite elements in space and Euler scheme in time and the pressure with standard continuous elements in space and Euler scheme in time. Finally, we establish optimal a priori and a posteriori estimates. |
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