Dmitriy Leykekhman
Orcid: 0000-0001-9643-5540
According to our database1,
Dmitriy Leykekhman
authored at least 28 papers
between 2004 and 2025.
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Bibliography
2025
Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation.
CoRR, August, 2025
Weak maximum principle of finite element methods for parabolic equations in polygonal domains.
Numerische Mathematik, February, 2025
2024
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time.
CoRR, 2024
2023
L<sup>2</sup>(I;H<sup>1</sup>(Ω)) and L<sup>2</sup>(I;L<sup>2</sup>(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems.
CoRR, 2023
CoRR, 2023
2021
Math. Comput., 2021
Pointwise error estimates for C<sup>0</sup> interior penalty approximation of biharmonic problems.
Math. Comput., 2021
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
2020
Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra.
SIAM J. Numer. Anal., 2020
2018
Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems.
SIAM J. Numer. Anal., 2018
2017
Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems.
SIAM J. Numer. Anal., 2017
Numerische Mathematik, 2017
On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements.
Math. Comput., 2017
2016
Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems.
SIAM J. Numer. Anal., 2016
SIAM J. Numer. Anal., 2016
A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control.
SIAM J. Control. Optim., 2016
2013
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control.
SIAM J. Numer. Anal., 2013
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints.
Comput. Optim. Appl., 2013
2012
Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems.
SIAM J. Numer. Anal., 2012
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra.
Math. Comput., 2012
Best approximation property in the W<sup>1</sup><sub>∞</sub> norm for finite element methods on graded meshes.
Math. Comput., 2012
Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems.
J. Sci. Comput., 2012
2010
Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems.
SIAM J. Numer. Anal., 2010
2009
Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods.
Numerische Mathematik, 2009
2008
Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem.
Math. Comput., 2008
2004
Numerische Mathematik, 2004