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http://dx.doi.org/10.4134/JKMS.2011.48.3.529

AN A POSTERIORI ERROR ESTIMATE FOR MIXED FINITE ELEMENT APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS  

Elakkad, Abdeslam (Laboratoire Genie Mecanique Faculte des Sciences et Techniques)
Elkhalfi, Ahmed (Laboratoire Genie Mecanique Faculte des Sciences et Techniques)
Guessous, Najib (Departement de mathematiques et informatique Ecole normale Superieure de Fes)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.3, 2011 , pp. 529-550 More about this Journal
Abstract
In this work, a numerical solution of the incompressible Navier-Stokes equations is proposed. The method suggested is based on an algorithm of discretization by mixed finite elements with a posteriori error estimation of the computed solutions. 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 system.
Keywords
incompressible Navier-Stokes equations; mixed finite element method; a posteriori error estimates; iterative solvers; Adina system;
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