A new mixed finite element method based on the Crank-Nicolson scheme for Burgers' equation

被引：8
|
作者：
Hu, Xiaohui [1 ]
Huang, Pengzhan [1 ]
Feng, Xinlong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
APPLICATIONS OF MATHEMATICS | 2016年 / 61卷 / 01期
关键词：
Burgers' equation; mixed finite element method; stable conforming finite element; Crank-Nicolson scheme; inf-sup condition;
D O I：
10.1007/s10492-016-0120-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new mixed finite element method is used to approximate the solution as well as the flux of the 2D Burgers' equation. Based on this new formulation, we give the corresponding stable conforming finite element approximation for the P (0) (2) - P (1) pair by using the Crank-Nicolson time-discretization scheme. Optimal error estimates are obtained. Finally, numerical experiments show the efficiency of the new mixed method and justify the theoretical results.
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页码：27 / 45
页数：19
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