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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
and 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 and norms.…
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…