A new streamline diffusion finite element method for the generalized Oseen problem

被引：0
|
作者：
Chao XU [1 ]
Dongyang SHI [2 ]
Xin LIAO [2 ]
机构：
[1] Faculty of Mathematics and Physics Education, Luoyang Institute of Science and Technology
[2] School of Mathematics and Statistics, Zhengzhou University
来源：
Applied Mathematics and Mechanics(English Edition) | 2018年 / 39卷 / 02期
基金：
中国国家自然科学基金;
关键词：
streamline diffusion method; Bernardi-Raugel element; Oseen problem; superconvergent error estimate;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
This paper aims to present a new streamline diffusion method with low order rectangular Bernardi-Raugel elements to solve the generalized Oseen equations. With the help of the Bramble-Hilbert lemma, the optimal errors of the velocity and pressure are estimated, which are independent of the considered parameter ε. With an interpolation postprocessing approach, the superconvergent error of the pressure is obtained. Finally,a numerical experiment is carried out to confirm the theoretical results.
引用
收藏
页码：291 / 304
页数：14
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