Dmitriy Leykekhman

32 papers Journal 32

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation. CoRR Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
2025	J	`jnl`	Weak maximum principle of finite element methods for parabolic equations in polygonal domains. Numerische Mathematik Genming Bai, Dmitriy Leykekhman, Buyang Li
2024	J	`jnl`	A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. CoRR Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
2024	J	`jnl`	Rigorous Hausdorff dimension estimates for conformal fractals. CoRR Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbanski, Erik Wendt
2024	J	`jnl`	Weak maximum principle of finite element methods for parabolic equations in polygonal domains. CoRR Genming Bai, Dmitriy Leykekhman, Buyang Li
2023	J	`jnl`	Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data. CoRR Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
2023	J	`jnl`	L CoRR Dmitriy Leykekhman, Boris Vexler
2021	J	`jnl`	Fully discrete best approximation type estimates in $L^{\infty}(I;L^2(Ω)^d)$ for finite element discretizations of the transient Stokes equations. CoRR Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
2021	J	`jnl`	Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2021	J	`jnl`	Pointwise error estimates for C Math. Comput. Dmitriy Leykekhman
2021	J	`jnl`	Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comput. Dmitriy Leykekhman, Buyang Li
2020	J	`jnl`	Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. SIAM J. Numer. Anal. Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
2020	J	`jnl`	Local energy estimates for the fractional Laplacian. CoRR Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2019	J	`jnl`	Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. CoRR Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
2019	J	`jnl`	Weak discrete maximum principle of finite element methods in convex polyhedra. CoRR Dmitriy Leykekhman, Buyang Li
2018	J	`jnl`	Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM J. Numer. Anal. Dmitriy Leykekhman, Boris Vexler
2017	J	`jnl`	Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik Dmitriy Leykekhman, Boris Vexler
2017	J	`jnl`	Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM J. Numer. Anal. Dmitriy Leykekhman, Boris Vexler
2017	J	`jnl`	On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements. Math. Comput. Dmitriy Leykekhman, Michael Pruitt
2016	J	`jnl`	A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Control. Optim. Dmitriy Leykekhman, Boris Vexler
2016	J	`jnl`	Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM J. Numer. Anal. Dmitriy Leykekhman, Boris Vexler
2016	J	`jnl`	Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM J. Numer. Anal. Dmitriy Leykekhman, Boris Vexler
2013	J	`jnl`	Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Numer. Anal. Dmitriy Leykekhman, Boris Vexler
2013	J	`jnl`	Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Comput. Optim. Appl. Dmitriy Leykekhman, Dominik Meidner, Boris Vexler
2012	J	`jnl`	Best approximation property in the W Math. Comput. Alan Demlow, Dmitriy Leykekhman, Alfred H. Schatz, Lars B. Wahlbin
2012	J	`jnl`	Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems. J. Sci. Comput. Dmitriy Leykekhman
2012	J	`jnl`	Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. SIAM J. Numer. Anal. Dmitriy Leykekhman, Matthias Heinkenschloss
2012	J	`jnl`	Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. Johnny Guzmán, Dmitriy Leykekhman
2010	J	`jnl`	Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. SIAM J. Numer. Anal. Matthias Heinkenschloss, Dmitriy Leykekhman
2009	J	`jnl`	Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz
2008	J	`jnl`	Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem. Math. Comput. Dmitriy Leykekhman
2004	J	`jnl`	Pointwise localized error estimates for parabolic finite element equations. Numerische Mathematik Dmitriy Leykekhman