Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations

作     者：Pengzhan HUANG Yinnian HE Xinlong FENG 

作者机构：College of Mathematics and System Sciences Xinjiang University Urumqi 830046 China School of Mathematics and Statistics Xi'an Jiaotong University Xi'an 710049 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2013年第8卷第4期

页      面：837-854页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11271298  11271313  61163027)  the Key Project of Chinese Ministry of Education (Grant No. 212197)  the Natural Science Foundation of Xinjiang Province (Grant No. 2013211B01)  and the Doctoral Foundation of Xinjiang University (Grant No. BS120102) 

主　　题：Navier-Stokes equation level strategy Taylor-Hood element penalty mixed finite element method two-error estimate stability analysis 

摘      要：The two-level penalty mixed finite element method for the stationary Navier-Stokes equations based on Taylor-Hood element is considered in this paper. Two algorithms are proposed and analyzed. Moreover, the optimal stability analysis and error estimate for these two algorithms are provided. Finally, the numerical tests confirm the theoretical results of the presented algorithms.