Two-level mixed finite element methods for the Navier-Stokes equations with damping
Two-level mixed finite element methods for the Navier-Stokes equations with damping
复制标题
带阻尼的纳维-斯托克斯方程的两级混合有限元法
DOI：
10.1016/j.jmaa.2018.10.002
复制
发表时间：
2019
影响因子：
1.3
通讯作者：
Chen Hongru
中科院分区：
文献类型：
--
作者：
Li Minghao;Shi Dongyang;Li Zhenzhen;Chen Hongru
本文研究了带阻尼Navier-Stokes方程的混合有限元方法。得到了速度的H1模和L2模以及压力的L2模的最优误差估计.在此基础上，提出了基于Oseen修正和基于Newton修正的两种两能级方法。最后，两个数值例子来验证分析。
In this paper, the mixed finite element methods are considered for the Navier–Stokes equations with damping. Optimal error estimates of the H 1-norm and L 2-norm for the velocity, and the L 2-norm for the pressure are obtained. Moreover, two kinds of two-level methods based on the Oseen correction and Newton correction are presented. Finally, two numerical examples are implemented to confirm the analysis.