9 papers · 1 filter
Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
In this paper we establish best approximation type error estimates for the fully discrete Galerkin solutions of the time-dependent Stokes problem using the stream-function formulat…
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…
Error estimates for finite element discretizations of the instationary Navier-Stokes equations
Boris Vexler, Jakob Wagner
In this work we consider the two dimensional instationary Navier-Stokes equations with homogeneous Dirichlet/no-slip boundary conditions. We show error estimates for the fully disc…