| Issue |
ESAIM: M2AN
Volume 34, Number 5, September/October 2000
|
|
|---|---|---|
| Page(s) | 1051 - 1067 | |
| DOI | https://doi.org/10.1051/m2an:2000115 | |
| Published online | 15 April 2002 | |
Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem
1
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box
2719, Beijing 100080, P. R. China. (mpb@lsec.cc.ac.cn)
2
Institute of Computational Mathematics, Chinese Academy of Sciences, PO Box
2719, Beijing 100080, P. R. China. (shi@lsec.cc.ac.cn)
Received:
15
January
1999
This is the second part of the paper for a Non-Newtonian flow. Dual combined Finite Element Methods are used to investigate the little parameter-dependent problem arising in a nonliner three field version of the Stokes system for incompressible fluids, where the viscosity obeys a general law including the Carreau's law and the Power law. Certain parameter-independent error bounds are obtained which solved the problem proposed by Baranger in [4] in a unifying way. We also give some stable finite element spaces by exemplifying the abstract B-B inequality. The continuous approximation for the extra stress is achieved as a by-product of the new method.
Mathematics Subject Classification: 65N30
Key words: Dual combined FEM / non-Newtonian flow / parameter-independent error bounds.
© EDP Sciences, SMAI, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.