44 citations · 94 across the 16 of their papers we have counts for
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math.NA2015★ 29 cited
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems
Dmitriy Leykekhman, Boris Vexler
In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral d…
math.NA2015★ 44 cited
Discrete maximal parabolic regularity for Galerkin finite element methods
Dmitriy Leykekhman, Boris Vexler
The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the time discontinuous Galerkin solution of linear parab…