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Pressure bubbles stabilization features in the Stokes problem

delete2003-04-01
delete26
PRE
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L
Leopoldo P. Franca *
S
Saulo Pomponet Oliveira
DOI：10.1016/S0045-7825(02)00628-Xdelete
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Abstract

Abstract

En 中文
The standard finite element approximation using equal-order-linear-continuous velocity-pressure variables is enriched with velocity and pressure bubble functions to model the Stokes problem. We show by static condensation that these bubble functions give rise to a stabilized method involving least-squares forms of the momentum and of the continuity equations. In particular, pressure bubbles play a key role in explaining the addition of the least-squares form of the continuity equation in a stabilized method for Stokes. (C) 2003 Published by Elsevier Science B.V.
Keywords:
FINITE-ELEMENT METHODS
COMPUTATIONAL FLUID-DYNAMICS
FORMULATION
EQUATIONS
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

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