Fully discrete best approximation type estimates in $L^{\infty }(I;L^2(\Omega {)}^d)$ for finite element discretizations of the transient Stokes equations

Niklas Behringer, Dmitriy Leykekhman, Boris Vexler

In this article we obtain an optimal best approximation type result for fully discrete approximations of the transient Stokes problem. For the time discretization we use the discon…