A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations

被引：11
|
作者：
Ren, Jincheng [1 ]
Ma, Yue [2 ]
机构：
[1] Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450045, Peoples R China
[2] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450045, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2016年 / 32卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes equations; nonconforming mixed finite element; superconvergence; STATIONARY STOKES; ANISOTROPIC MESHES; CONSTANT SCHEME; APPROXIMATION;
D O I：
10.1002/num.22023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The superconvergence for a nonconforming mixed finite element approximation of the Navier-Stokes equations is analyzed in this article. The velocity field is approximated by the constrained nonconforming rotated Q(1) (CNRQ(1)) element, and the pressure is approximated by the piecewise constant functions. Under some regularity assumptions, the superconvergence estimates for both the velocity in broken H-1-norm and the pressure in L-2-norm are obtained. Some numerical examples are presented to demonstrate our theoretical results. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 646-660, 2016
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页码：646 / 660
页数：15
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