44 citations · 202 across the 26 of their papers we have counts for
4 papers · 1 filter
A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
Boris Vexler
In this paper we develop numerical analysis for finite element discretization of semilinear elliptic equations with potentially non-Lipschitz nonlinearites. The nonlinearity is ess…
Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains
Johannes Pfefferer, Boris Vexler
This paper is concerned with finite element error estimates for Neumann boundary control problems posed on convex and polyhedral domains. Different discretization concepts are cons…
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
In this paper, we consider a state constrained optimal control problem governed by the transient Stokes equations. The state constraint is given by an L2 functional in space, which…
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…