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

被引：14

作者：

Elakkad, Abdeslam ^{[1
]}

Elkhalfi, Ahmed ^{[1
]}

Guessous, Najib ^{[2
]}

机构：

[1] Fac Sci & Tech, Lab Genie Mecan, Fes, Morocco

[2] Ecole Normale Super Fes, Dept Math & Informat, Bensouda, Fes Maroc, France

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 03期

关键词：

incompressible Navier-Stokes equations; mixed finite element method; a posteriori error estimates; iterative solvers; Adina system; CAVITY FLOW; STATIONARY;

D O I：

10.4134/JKMS.2011.48.3.529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：529 / 550

页数：22

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