On the Full Space-Time Discretization of the Generalized Stokes Equations: The Dirichlet Case

Abstract

In this work we treat the space-time discretization of the generalized Stokes equations in the case of Dirichlet boundary conditions. We prove error estimates in the case $p\in[\frac{2d}{d+2},\infty)$ that are independent of the degeneracy parameter $\delta\in[0,\delta_0]$. For $p\leq 2$, our convergence rate is optimal.