Nonconforming local projection stabilization for generalized Oseen equations

被引：3

作者：

Bai, Yan-hong ^{[1
]}

Feng, Min-fu ^{[2
]}

Wang, Chuan-long ^{[1
]}

机构：

[1] Taiyuan Teachers Coll, Dept Math, Taiyuan 030012, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 11期

基金：

中国国家自然科学基金;

关键词：

generalized Oseen equation; local projection stabilization; Crouzeix-Raviart element; FINITE-ELEMENT-METHOD; STOKES; FLOWS;

D O I：

10.1007/s10483-010-1374-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new method of nonconforming local projection stabilization for the generalized Oseen equations is proposed by a nonconforming inf-sup stable element pair for approximating the velocity and the pressure. The method has several attractive features. It adds a local projection term only on the sub-scale (H a (c) 3/4 h). The stabilized term is simple compared with the residual-free bubble element method. The method can handle the influence of strong convection. The numerical results agree with the theoretical expectations very well.

引用

页码：1439 / 1452

页数：14

共 50 条

[41] A new local stabilized nonconforming finite element method for the Stokes equations
Jian Li
Zhangxin Chen
Computing, 2008, 82 : 157 - 170
[42] A new local stabilized nonconforming finite element method for the Stokes equations
Li, Jian
Chen, Zhangxin
COMPUTING, 2008, 82 (2-3) : 157 - 170
[43] Generalized Riccati equations and stabilization of stochastic systems
Damm, T
CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 437 - 442
[44] Local projection stabilization for the Stokes equation with Neumann condition
Braack, Malte
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 334 : 507 - 522
[45] LOCAL PROJECTION FINITE ELEMENT STABILIZATION FOR DARCY FLOW
Nafa, Kamel
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 7 (04) : 656 - 666
[46] A LOCAL PROJECTION STABILIZATION FINITE ELEMENT METHOD WITH NONLINEAR CROSSWIND DIFFUSION FOR CONVECTION-DIFFUSION-REACTION EQUATIONS
Barrenechea, Gabriel R.
John, Volker
Knobloch, Petr
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2013, 47 (05): : 1335 - 1366
[47] On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations
Tobiska, Lutz
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (5-8) : 831 - 837
[48] Analysis of a Full Space-Time Discretization of the Navier-Stokes Equations by a Local Projection Stabilization Method
Ahmed, Naveed
Chacon Rebollo, Tomas
John, Volker
Rubino, Samuele
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 37 (03) : 1437 - 1467
[49] A local projection type stabilization with exponential enrichments applied to one-dimensional advection-diffusion equations
Juhnke, Dominique
Tobiska, Lutz
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 201 : 179 - 190
[50] SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
Berrone, S.
Borio, A.
Manzini, G.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 340 : 500 - 529

← 1 2 3 4 5 →