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ORCIDDmitriy Leykekhman
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2020 – today
- 2024
[i9]Genming Bai, Dmitriy Leykekhman, Buyang Li:
Weak maximum principle of finite element methods for parabolic equations in polygonal domains. CoRR abs/2407.19437 (2024)- [i8]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 abs/2407.20702 (2024) - [i7]Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbanski, Erik Wendt:
Rigorous Hausdorff dimension estimates for conformal fractals. CoRR abs/2408.06330 (2024) - 2023
- [i6]Dmitriy Leykekhman, Boris Vexler, Jakob Wagner:
Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data. CoRR abs/2304.13694 (2023) - [i5]Dmitriy Leykekhman, Boris Vexler:
L2(I;H1(Ω)) and L2(I;L2(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems. CoRR abs/2304.13839 (2023) - 2021
- [j21]Dmitriy Leykekhman
, Buyang Li:
Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comput. 90(327): 1-18 (2021) - [j20]Dmitriy Leykekhman:
Pointwise error estimates for C0 interior penalty approximation of biharmonic problems. Math. Comput. 90(327): 41-63 (2021) - [j19]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. 59(4): 1918-1947 (2021) - [i4]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 abs/2107.11051 (2021) - 2020
- [j18]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): 1531-1555 (2020) - [i3]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local energy estimates for the fractional Laplacian. CoRR abs/2005.03786 (2020)
2010 – 2019
- 2019
- [i2]Niklas Behringer, Dmitriy Leykekhman, Boris Vexler:
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. CoRR abs/1907.06871 (2019) - [i1]Dmitriy Leykekhman, Buyang Li:
Weak discrete maximum principle of finite element methods in convex polyhedra. CoRR abs/1909.06783 (2019) - 2018
- [j17]Dmitriy Leykekhman, Boris Vexler:
Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM J. Numer. Anal. 56(4): 2178-2202 (2018) - 2017
- [j16]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): 1127-1145 (2017) - [j15]Dmitriy Leykekhman, Boris Vexler:
Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135(3): 923-952 (2017) - [j14]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): 2025-2049 (2017) - 2016
- [j13]Dmitriy Leykekhman, Boris Vexler:
A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Control. Optim. 54(5): 2403-2435 (2016) - [j12]Dmitriy Leykekhman, Boris Vexler:
Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM J. Numer. Anal. 54(2): 561-587 (2016) - [j11]Dmitriy Leykekhman, Boris Vexler:
Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM J. Numer. Anal. 54(3): 1365-1384 (2016) - 2013
- [j10]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): 769-802 (2013) - [j9]Dmitriy Leykekhman, Boris Vexler:
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Numer. Anal. 51(5): 2797-2821 (2013) - 2012
- [j8]Dmitriy Leykekhman:
Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems. J. Sci. Comput. 53(3): 483-511 (2012) - [j7]Alan Demlow, Dmitriy Leykekhman, Alfred H. Schatz, Lars B. Wahlbin:
Best approximation property in the W1∞ norm for finite element methods on graded meshes. Math. Comput. 81(278): 743-764 (2012) - [j6]Johnny Guzmán, Dmitriy Leykekhman:
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Math. Comput. 81(280): 1879-1902 (2012) - [j5]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): 2012-2038 (2012) - 2010
- [j4]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): 4607-4638 (2010)
2000 – 2009
- 2009
- [j3]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): 221-243 (2009) - 2008
- [j2]Dmitriy Leykekhman:
Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem. Math. Comput. 77(261): 21-39 (2008) - 2004
- [j1]Dmitriy Leykekhman:
Pointwise localized error estimates for parabolic finite element equations. Numerische Mathematik 96(3): 583-600 (2004)
Coauthor Index
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last updated on 2024-10-07 22:16 CEST by the dblp team
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