Electron. J. Diff. Eqns., Vol. 2001(2001), No. 07, pp. 1-12.

A penalty method for approximations of the stationary power-law Stokes problem

Lew Lefton & Dongming Wei

We study approximations of the steady state Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flow using the penalty formulation. We establish convergence and find error estimates.

Submitted October 31, 2000. Published January 10, 2001.
Math Subject Classifications: 65N30, 65N12, 65N15, 35J70.
Key Words: Power-law flow, penalty method, stationary Stokes problem, non-Newtonian flows, convergence and error estimates, LBB condition.

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Lew Lefton
School of Mathematics
Georgia Institute of Technology
Atlanta, Georgia 30332, USA
e-mail: llefton@math.gatech.edu
Dongming Wei
Department of Mathematics
University of New Orleans
New Orleans, Louisiana 70148, USA
e-mail: dwei@math.uno.edu

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