A priori and a posteriori estimates for three‐dimensional Stokes equations with nonstandard boundary conditions |
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| Authors: | Hyam Abboud Fida El Chami Toni Sayah |
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| Institution: | 1. Département de mathématiques, Faculté des Sciences II, Université Libanaise, Fanar‐Maten, Liban;2. Département de mathématiques, Faculté des Sciences, Université Saint‐Joseph, B.P 11‐514 Riad El Solh, Beyrouth 1107 2050, Liban |
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| Abstract: | In this article, we study the Stokes problem with some nonstandard boundary conditions. The variational formulation decouples into a system for the velocity and a Poisson equation for the pressure. The corresponding discrete system do not need an inf‐sup condition. Hence, the velocity is approximated with “ curl ” conforming finite elements and the pressure with standard continuous elements. Next, we establish optimal a priori and a posteriori estimates and we finally concluded with numerical tests. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012 |
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| Keywords: | Stokes equations non standard boundary conditions a priori errors a posteriori errors |
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