Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations

被引:70
作者
Russo, A
机构
[1] Istituto di Analisi Numerica del CNR, 27100 Pavia
关键词
D O I
10.1016/0045-7825(96)01020-1
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we discuss the stabilization, via bubble functions, of a finite element method for stationary linearized incompressible Navier-Stokes equations. it is shown that 'residual free' bubbles can reproduce SUPG.
引用
收藏
页码:335 / 343
页数:9
相关论文
共 14 条
[1]   VIRTUAL BUBBLES AND GALERKIN-LEAST-SQUARES TYPE METHODS (GA.L.S.) [J].
BAIOCCHI, C ;
BREZZI, F ;
FRANCA, LP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (01) :125-141
[2]   A COMPARISON BETWEEN THE MINIELEMENT AND THE PETROV-GALERKIN FORMULATIONS FOR THE GENERALIZED STOKES PROBLEM [J].
BANK, RE ;
WELFERT, BD .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 83 (01) :61-68
[3]  
BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129
[4]   CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS [J].
BREZZI, F ;
RUSSO, A .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1994, 4 (04) :571-587
[5]  
Brezzi F., 2012, MIXED HYBRID FINITE, V15
[6]  
Ciarlet PG., 1978, The Finite Element Method for Elliptic Problems
[7]   STABILIZED FINITE-ELEMENT METHODS .2. THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
FRANCA, LP ;
FREY, SL .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 99 (2-3) :209-233
[8]   STABILIZED FINITE-ELEMENT METHODS .1. APPLICATION TO THE ADVECTIVE-DIFFUSIVE MODEL [J].
FRANCA, LP ;
FREY, SL ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 95 (02) :253-276
[9]   SOME CURRENT CFD ISSUES RELEVANT TO THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
GRESHO, PM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 87 (2-3) :201-252
[10]   FINITE-ELEMENT METHODS FOR LINEAR HYPERBOLIC PROBLEMS [J].
JOHNSON, C ;
NAVERT, U ;
PITKARANTA, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 45 (1-3) :285-312