44 citations · 94 across the 16 of their papers we have counts for
19 papers
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…
The dimension spectrum of the infinitely generated Apollonian gasket
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański +1
We prove that the infinitely generated Apollonian gasket has full Hausdorff dimension spectrum. Our proof, which is computer assisted, relies on an iterative technique introduced b…
Rigorous Hausdorff dimension estimates for conformal fractals
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański +1
We develop a versatile framework which allows us to rigorously estimate the Hausdorff dimension of maximal conformal graph directed Markov systems in for .…
Weak maximum principle of finite element methods for parabolic equations in polygonal domains
Genming Bai, Dmitriy Leykekhman, Buyang Li
The weak maximum principle of finite element methods for parabolic equations is proved for both semi-discretization in space and fully discrete methods with -step backward diffe…
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…
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.…