Pointwise localized error estimates for parabolic finite element equations. - Dmitriy Leykekhman (Numerische Mathematik, 2004)

Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem. - Dmitriy Leykekhman (Math. Comput., 2008)

Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods. - Johnny Guzmán; Dmitriy Leykekhman; Jürgen Rossmann; Alfred H. Schatz (Numerische Mathematik, 2009)

Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. - Matthias Heinkenschloss; Dmitriy Leykekhman (SIAM J. Numer. Anal., 2010)

Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems. - Dmitriy Leykekhman (J. Sci. Comput., 2012)

Best approximation property in the W1∞ norm for finite element methods on graded meshes. - Alan Demlow; Dmitriy Leykekhman; Alfred H. Schatz; Lars B. Wahlbin (Math. Comput., 2012)

Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. - Johnny Guzmán; Dmitriy Leykekhman (Math. Comput., 2012)

Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. - Dmitriy Leykekhman; Matthias Heinkenschloss (SIAM J. Numer. Anal., 2012)

Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. - Dmitriy Leykekhman; Dominik Meidner; Boris Vexler (Comput. Optim. Appl., 2013)

Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2013)

A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Control. Optim., 2016)

Finite Element Pointwise Results on Convex Polyhedral Domains. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2016)

Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2016)

On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements. - Dmitriy Leykekhman; Michael Pruitt (Math. Comput., 2017)

Discrete maximal parabolic regularity for Galerkin finite element methods. - Dmitriy Leykekhman; Boris Vexler (Numerische Mathematik, 2017)

Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2017)

Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. - Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2018)

Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. - Niklas Behringer; Dmitriy Leykekhman; Boris Vexler (SIAM J. Numer. Anal., 2020)

Fully discrete best approximation type estimates in $L^{ infty}(I;L^2(Ω)^d)$ for finite element discretizations of the transient Stokes equations. - Niklas Behringer; Dmitriy Leykekhman; Boris Vexler (CoRR, 2021)

Pointwise error estimates for C0 interior penalty approximation of biharmonic problems. - Dmitriy Leykekhman (Math. Comput., 2021)

Weak discrete maximum principle of finite element methods in convex polyhedra. - Dmitriy Leykekhman; Buyang Li (Math. Comput., 2021)

Local Energy Estimates for the Fractional Laplacian. - Juan Pablo Borthagaray; Dmitriy Leykekhman; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2021)

Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data. - Dmitriy Leykekhman; Boris Vexler; Jakob Wagner (CoRR, 2023)

L2(I;H1(Ω)) and L2(I;L2(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems. - Dmitriy Leykekhman; Boris Vexler (CoRR, 2023)

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 (CoRR, 2024)

Rigorous Hausdorff dimension estimates for conformal fractals. - Vasileios Chousionis; Dmitriy Leykekhman; Mariusz Urbanski; Erik Wendt (CoRR, 2024)

Weak maximum principle of finite element methods for parabolic equations in polygonal domains. - Genming Bai; Dmitriy Leykekhman; Buyang Li (Numerische Mathematik, 2025)

Fully discrete error analysis of finite element discretizations of time-dependent Stokes equations in a stream-function formulation. - Dmitriy Leykekhman; Boris Vexler; Jakob Wagner (CoRR, 2025)