A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

被引：3
|
作者：
Zhao, Ke [1 ]
He, Yinnian [1 ]
Zhang, Tong [2 ]
机构：
[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Shanxi, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2011年 / 3卷 / 02期
基金：
国家高技术研究发展计划(863计划);
关键词：
Non-stationary conduction-convection equations; finite element method; stabilized method; stability analysis; error estimate; NAVIER-STOKES EQUATIONS; LEAST-SQUARES METHODS; FORMULATION; APPROXIMATION;
D O I：
10.4208/aamm.10-m1042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a stabilized finite element method based on two local Gauss integrations for the two-dimensional non-stationary conduction-convection equations by using the lowest equal-order pairs of finite elements. This method only offsets the discrete pressure space by the residual of the simple and symmetry term at element level in order to circumvent the inf-sup condition. The stability of the discrete scheme is derived under some regularity assumptions. Optimal error estimates are obtained by applying the standard Galerkin techniques. Finally, the numerical illustrations agree completely with the theoretical expectations.
引用
收藏
页码：239 / 258
页数：20
相关论文
共 50 条
12345