Least-squares mixed finite element method for a class of Stokes equation

Authors
Gu, HM Yang, DP Sui, SL Liu, XM
Citation
Hm. Gu et al., Least-squares mixed finite element method for a class of Stokes equation, APP MATH ME, 21(5), 2000, pp. 557-566
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
21
Issue
5
Year of publication
2000
Pages
557 - 566
Database
ISI
SICI code
0253-4827(200005)21:5<557:LMFEMF>2.0.ZU;2-4
Abstract
A least-squares mixed finite element method was formulated for a class of S tokes equations in two dimensional domains. The steady state and the time-d ependent Stokes' equations were considered. For the stationary equation, op timal H-t and L-2-error estimates are derived under the standard regularity assumption on the finite element partition ( the LBB-condition is not requ ired). Far the evolutionary equation, optimal L-2 estimates are derived und er the conventional Raviart-Thomas spaces.