Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra

Niklas Behringer, Dmitriy Leykekhman, Boris Vexler

The main goal of the paper is to show new stability and localization results for the finite element solution of the Stokes system in $W^{1,\infty }$ and $L^{\infty }$ norms under sta…