Multiscale enrichment of a finite volume element method for the stationary Navier-Stokes problem

被引：6

作者：

Wen, Juan ^{[1
]}

He, Yinnian ^{[1
]}

Yang, Jianhong ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shanxi, Peoples R China

[2] Baoji Univ Arts & Sci, Dept Math, Baoji 721007, Shanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2013年 / 90卷 / 09期

关键词：

finite volume element method; P-1/P-0; elements; multiscale enrichment; the Navier-Stokes problem; APPROXIMATION;

D O I：

10.1080/00207160.2013.768765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a finite volume element method for the Navier-Stokes problem. This method is based on the multiscale enrichment and uses the lowest finite element pair P-1/P-0. The stability and convergence of the optimal order in H-1-norm for velocity and L-2-norm for pressure are obtained. Using a dual problem for the Navier-Stokes problem, we establish the convergence of the optimal order in L-2-norm for the velocity.

引用

页码：1938 / 1957

页数：20

共 50 条

[1] Analysis of a new stabilized finite volume element method based on multiscale enrichment for the Navier-Stokes problem
Wen, Juan
He, Yinnian
Zhao, Xin
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (08) : 2462 - 2485
[2] The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem
He, Guoliang
He, Yinnian
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (01) : 651 - 665
[3] Convergence analysis of a new multiscale finite element method for the stationary Navier-Stokes problem
Wen, Juan
He, Yinnian
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (01) : 1 - 25
[4] A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier-Stokes equations
Ge, Zhihao
Feng, Minfu
He, Yinnian
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 700 - 707
[5] Analysis of multiscale finite element method for the stationary Navier-Stokes equations
Ge, Zhihao
Yan, Jingjing
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 385 - 394
[6] Stabilized multiscale finite element method for the stationary Navier-Stokes equations
Ge, Zhihao
Feng, Minfu
He, Yinnian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 708 - 717
[7] Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations
Zhang, Tong
Xu, Shunwei
Deng, Jien
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[8] Stabilized finite element method for the non-stationary Navier-Stokes problem
He, YN
Lin, YP
Sun, WW
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (01): : 41 - 68
[9] A finite element variational multiscale method for the Navier-Stokes equations
John, V
Kaya, S
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 26 (05): : 1485 - 1503
[10] A multiscale finite element method for the incompressible Navier-Stokes equations
Masud, A
Khurram, RA
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (13-16) : 1750 - 1777

← 1 2 3 4 5 →