Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 07, pp. 1-12.

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

Authors: Lew Lefton  (Georgia Inst. of Technology, Atlanta, Georgia, USA)
         Dongming Wei (Univ. of New Orleans, New Orleans, Louisiana, USA)
          
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.