Boris Vexler

collaborators

2 papers

math.NA2024

Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains

Johannes Pfefferer, Boris Vexler

In this paper error analysis for finite element discretizations of Dirichlet boundary control problems is developed. For the first time, optimal discretization error estimates are…

math.NA2023

$L^{2} (I; H^{1} (Ω))$ and $L^{2} (I; L^{2} (Ω))$ best approximation type error estimates for Galerkin solutions of transient Stokes problems

Dmitriy Leykekhman, Boris Vexler

In this paper we establish best approximation type estimates for the fully discrete Galerkin solutions of transient Stokes problem in $L^{2} (I; L^{2} (Ω)^{d})$ and $L^{2} (I; H^{1} (Ω)^{d})$ norms.…

Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains

L2(I;H1(Ω)) and L2(I;L2(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems

$L^{2} (I; H^{1} (Ω))$ and $L^{2} (I; L^{2} (Ω))$ best approximation type error estimates for Galerkin solutions of transient Stokes problems