Abstract
In this paper pointwise error estimates for general finite element approximations of the Stokes problem are established on quasi-uniform grids in $R^N$. The results obtained in this paper improve and extend the existing error estimates in the maximum norm for the Stokes problem. The new pointwise error estimates exhibit a more local dependence of the errors on the true solution and as a by-product provide logarithm-free bounds for all errors except the error of the velocity approximation of the lowest order.
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