The Mathematical Institute, University of Oxford, Eprints Archive

A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows

Barrett, John W. and Robson, Janice A. and Suli, Endre (2004) A posteriori error analysis of mixed finite element approximations to quasi-Newtonian incompressible flows. Technical Report. Unspecified. (Submitted)

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Abstract

We develop the a posteriori error analysis of mixed finite element approximations of a general family of steady, viscous, incompressible quasi-Newtonian fluids in a bounded Lipschitz domain; the family includes degenerate models such as the power-law model, as well as non-degenerate ones such as the Carreau model. The unified theoretical framework developed herein yields residual-based a posteriori bounds which measure the error in the approximations of the velocity and the pressure.

Item Type:Technical Report (Technical Report)
Subjects:D - G > Fluid mechanics
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1177
Deposited By:Lotti Ekert
Deposited On:18 May 2011 08:15
Last Modified:18 May 2011 08:15

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