Nonconforming mixed finite element method for the stationary conduction-convection problem

被引：0
|
作者：
Shi, Dongyang [1 ]
Ren, Jincheng [2 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
[2] Shangqiu Normal Univ, Dept Math, Shangqiu 476000, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2009年 / 6卷 / 02期
关键词：
stationary conduction-convection problem; nonconforming mixed finite element; the optimal error estimates; SUPERCONVERGENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new stable nonconforming mixed finite element scheme is proposed for the stationary conduction-convection problem, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken as approximation space for the velocity, the piece wise constant element for the pressure and the bilinear element for the temperature, respectively. The convergence analysis is presented and the optimal error estimates in a broken H-1-norm for the velocity, L-2-norm for the pressure and H-1-seminorm for the temperature are derived.
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页码：293 / 310
页数：18
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