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 $δ\in[0,δ_0]$. For $p\leq 2$, our convergence rate is optimal.