D. Leykekhman

activity

20152025

most citedDiscrete maximal parabolic regularity for Galerkin finite element methods

44 citations · 94 across the 16 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.NA2023

$L^{2} (I; H^{1} (Ω))$ and $L^{2} (I; L^{2} (Ω))$ 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 $L^{2} (I; L^{2} (Ω)^{d})$ and $L^{2} (I; H^{1} (Ω)^{d})$ 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…

L2(I;H1(Ω)) and L2(I;L2(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems

Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data

$L^{2} (I; H^{1} (Ω))$ and $L^{2} (I; L^{2} (Ω))$ best approximation type error estimates for Galerkin solutions of transient Stokes problems