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

页码：441 / 453

页数：13

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