Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

被引：0
|
作者：
Gu, HM [1 ]
Wu, XN
机构：
[1] Qingdao Inst Chem Technol, Dept Comp Sci, Qingdao 266042, Peoples R China
[2] Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 18卷 / 04期
关键词：
Navier-Stokes equations; least-squares mixed finite element; evolutionary;
D O I：
10.1002/num.10015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L-2 norms applied to this system yields optimal discretization error estimates. (C) 2002 Wiley Periodicals, Inc.
引用
收藏
页码：441 / 453
页数：13
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