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

被引：0
|
作者：
Chao Xu
Dongyang Shi
Xin Liao
机构：
[1] Luoyang Institute of Science and Technology,Faculty of Mathematics and Physics Education
[2] Zhengzhou University,School of Mathematics and Statistics
来源：
Applied Mathematics and Mechanics | 2018年 / 39卷
关键词：
streamline diffusion method; Bernardi-Raugel element; Oseen problem; superconvergent error estimate; O242.21; 65N30; 65N15;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：291 / 304
页数：13
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