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

Abstract:
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.

Show me the PDF file (169K), TEX file, and other files for this article.

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

Return to the EJDE web page