A Finite Element Approximation of the Stokes Equations

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dc.contributor.authorAlami, Samy
dc.contributor.authorElakkad, Abdeslam
dc.contributor.authorEl-Mekaoui, Jawad
dc.contributor.authorElkhalfi, Ahmed
dc.contributor.authorEl Hammoumi, Mohammed
dc.date.accessioned2018-05-15T07:09:34Z
dc.date.available2018-05-15T07:09:34Z
dc.date.issued2011-12
dc.description.abstractIn this work, a numerical solution of the incompressible Stokes equations is proposed. The method suggested is based on an algorithm of discretization by the unstable of Q1 – P0 velocity/pressure finite element approximation. It is shown that the inf-sup stability constant is O(h) in two dimensions and O( ) in three dimensions. The basic tool in the analysis is the method of modified equations which is applied to finite difference representations of the underlying finite element equations. In order to evaluate the performance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like Adina systemen_US
dc.identifier.citationWorld Journal of Mechanics, 2011, 1, 299-305en_US
dc.identifier.uridoi:10.4236/wjm.2011.16038
dc.identifier.urihttp://hdl.handle.net/123456789/1370
dc.language.isoenen_US
dc.subjectStokes Equationsen_US
dc.subjectFinite Element Methoden_US
dc.subjectIterative Solversen_US
dc.subjectAdina Systemen_US
dc.titleA Finite Element Approximation of the Stokes Equationsen_US
dc.typeArticleen_US
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