Dmitriy Leykekhman

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 18

Top Topics

Error Estimates

Optimal Control Problems

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Genming Bai, Dmitriy Leykekhman, Buyang Li
Weak maximum principle of finite element methods for parabolic equations in polygonal domains. CoRR (2024)
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. CoRR (2024)
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data. CoRR (2023)
Dmitriy Leykekhman, Boris Vexler
(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems. CoRR (2023)
Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. 59 (4) (2021)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Fully discrete best approximation type estimates in $L^{\infty}(I;L^2(Ω)^d)$ for finite element discretizations of the transient Stokes equations. CoRR (2021)
Dmitriy Leykekhman, Buyang Li
Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comput. 90 (327) (2021)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. SIAM J. Numer. Anal. 58 (3) (2020)
Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
Local energy estimates for the fractional Laplacian. CoRR (2020)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. CoRR (2019)
Dmitriy Leykekhman, Buyang Li
Weak discrete maximum principle of finite element methods in convex polyhedra. CoRR (2019)
Dmitriy Leykekhman, Boris Vexler
Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM J. Numer. Anal. 56 (4) (2018)
Dmitriy Leykekhman, Michael Pruitt
On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements. Math. Comput. 86 (305) (2017)
Dmitriy Leykekhman, Boris Vexler
Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM J. Numer. Anal. 55 (4) (2017)
Dmitriy Leykekhman, Boris Vexler
Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3) (2017)
Dmitriy Leykekhman, Boris Vexler
Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM J. Numer. Anal. 54 (2) (2016)
Dmitriy Leykekhman, Boris Vexler
A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Control. Optim. 54 (5) (2016)
Dmitriy Leykekhman, Boris Vexler
Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM J. Numer. Anal. 54 (3) (2016)
Dmitriy Leykekhman, Boris Vexler
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Numer. Anal. 51 (5) (2013)
Dmitriy Leykekhman, Dominik Meidner, Boris Vexler
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Comput. Optim. Appl. 55 (3) (2013)
Dmitriy Leykekhman, Matthias Heinkenschloss
Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. SIAM J. Numer. Anal. 50 (4) (2012)
Johnny Guzmán, Dmitriy Leykekhman
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. 81 (280) (2012)
Dmitriy Leykekhman
Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems. J. Sci. Comput. 53 (3) (2012)
Alan Demlow, Dmitriy Leykekhman, Alfred H. Schatz, Lars B. Wahlbin
norm for finite element methods on graded meshes. Math. Comput. 81 (278) (2012)
Matthias Heinkenschloss, Dmitriy Leykekhman
Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. SIAM J. Numer. Anal. 47 (6) (2010)
Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz
Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik 112 (2) (2009)
Dmitriy Leykekhman
Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem. Math. Comput. 77 (261) (2008)
Dmitriy Leykekhman
Pointwise localized error estimates for parabolic finite element equations. Numerische Mathematik 96 (3) (2004)