Stabilized finite-element method for the stationary Navier-Stokes equations

被引：0
|
作者：
Yinnian He
Aiwen Wang
Liquan Mei
机构：
[1] Xi’an Jiaotong University,Faculty of Science (State Key Laboratory of Multiphase Flow in Power Engineering)
[2] Beijing Institute of Machinery,School of Basic Courses
[3] Xi’an Jiaotong University,Faculty of Science
来源：
Journal of Engineering Mathematics | 2005年 / 51卷
关键词：
error estimation; Navier-Stokes equations; stabilized finite element;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A stabilized finite-element method for the two-dimensional stationary incompressible Navier-Stokes equations is investigated in this work. A macroelement condition is introduced for constructing the local stabilized formulation of the stationary Navier-Stokes equations. By satisfying this condition, the stability of the Q1−P0 quadrilateral element and the P1−P0 triangular element are established. Moreover, the well-posedness and the optimal error estimate of the stabilized finite-element method for the stationary Navier-Stokes equations are obtained. Finally, some numerical tests to confirm the theoretical results of the stabilized finite-element method are provided.
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页码：367 / 380
页数：13
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