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20232025
most citedError estimates for finite element discretizations of the instationary Navier-Stokes equations

3 citations · 3 across the 5 of their papers we have counts for

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5 papers

math.NA2025

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…

math.OC2025

Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions

Boris Vexler, Jakob Wagner

In this work we study an optimal control problem subject to the instationary Navier-Stokes equations, where the control enters via an inhomogeneous Neumann/Do-Nothing boundary cond…

math.NA2024

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…

math.NA2023★ 3 cited

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…

math.NA2023

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…