4 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 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…
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…
Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
In this paper we analyze a homogeneous parabolic problem with initial data in the space of regular Borel measures. The problem is discretized in time with a discontinuous Galerkin…