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.

引用

页码：367 / 380

页数：13

共 32 条

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