FINITE-ELEMENT ERROR ANALYSIS OF A QUASI-NEWTONIAN FLOW OBEYING THE CARREAU OR POWER-LAW

Authors
BARRETT JW LIU WB
Citation
Jw. Barrett et Wb. Liu, FINITE-ELEMENT ERROR ANALYSIS OF A QUASI-NEWTONIAN FLOW OBEYING THE CARREAU OR POWER-LAW, Numerische Mathematik, 64(4), 1993, pp. 433-453
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
64
Issue
4
Year of publication
1993
Pages
433 - 453
Database
ISI
SICI code
0029-599X(1993)64:4<433:FEAOAQ>2.0.ZU;2-7
Abstract
We consider the finite element approximation of a quasi-Newtonian flow , where the viscosity obeys the Carreau or power law. For sufficiently regular solutions we prove energy type error bounds for the velocity and pressure. These bounds improve on existing results in the literatu re.