Niklas Behringer

collaborators

2 papers

math.NA2021

Fully discrete best approximation type estimates in $L^{\infty} (I; L^{2} (Ω)^{d})$ 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…

math.NA2019

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…

Fully discrete best approximation type estimates in L∞(I;L2(Ω)d) for finite element discretizations of the transient Stokes equations

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

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