44 citations · 94 across the 16 of their papers we have counts for
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math.NA2019★ 1 cited
Weak discrete maximum principle of finite element methods in convex polyhedra
Dmitriy Leykekhman, Buyang Li
We prove that the Galerkin finite element solution of the Laplace equation in a convex polyhedron , with a quasi-uniform tetrahedral partition of the domain and wi…
math.NA2019
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
The main goal of the paper is to show new stability and localization results for the finite element solution of the Stokes system in and norms under sta…
math.OC2019
Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems
Dmitriy Leykekhman, Boris Vexler, Daniel Walter
In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are expon…