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L. Lefton, D. Wei

Penalty finite element approximations of the stationary power-law Stokes problem

Keywords: Power-law flows, penalty method, stationary Stokes problem, non-Newtonian flows, finite element method, convergence and error estimates, BB condition

Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without assuming a discrete version of the BB condition. Numerical solutions are presented by implementing a nonlinear conjugate gradient method.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 11, 12/2003
Pages: 301 - 322

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