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Item Open Access Penalty finite element approximations of the stationary power- law Stokes problem(Journal of Numerical Mathematics, 2003) Lefton, Lew; Wei, DongmingFinite 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