A nonconforming finite element method for the stationary Navier-Stokes equations

被引：88

作者：

Karakashian, OA ^{[1
]}

Jureidini, WN

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[2] Amer Univ Beirut, Dept Math, Beirut, Lebanon

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1998年 / 35卷 / 01期

关键词：

finite element method; piecewise solenoidal; Stokes; nonconforming;

D O I：

10.1137/S0036142996297199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximations to solutions of the inhomogeneous boundary value problem for the Navier-Stokes equations are constructed via a nonstandard finite element method. The velocity field is approximated using piecewise solenoidal functions that are totally discontinuous across interelement boundaries but which are pointwise divergence free on each element. The pressure is approximated by C-0 functions. Optimal rates of convergence results are obtained requiring only local quasi-uniformity assumptions on the meshes.

引用

页码：93 / 120

页数：28

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