A least-squares finite element approximation for the compressible Stokes equations

Authors
Cai, ZQ Ye, X
Citation
Zq. Cai et X. Ye, A least-squares finite element approximation for the compressible Stokes equations, NUMER M P D, 16(1), 2000, pp. 62-70
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
16
Issue
1
Year of publication
2000
Pages
62 - 70
Database
ISI
SICI code
0749-159X(200001)16:1<62:ALFEAF>2.0.ZU;2-A
Abstract
This article studies a least-squares finite element method for the numerica l approximation of compressible Stokes equations. Optimal order error estim ates for the velocity and pressure in the H-1 are established. The choice o f finite element spaces for the velocity and pressure is not subject to the inf-sup condition. (C) 2000 John Wiley & Sons, Inc.