Dmitriy Leykekhman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Rigorous Hausdorff dimension estimates for conformal fractals	2024	Vasileios Chousionis Dmitriy Leykekhman Mariusz Urbański Erik Wendt
+ PDF Chat	A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time	2024	Dmitriy Leykekhman Boris Vexler Jakob Wagner
+ PDF Chat	Weak maximum principle of finite element methods for parabolic equations in polygonal domains	2024	Genming Bai Dmitriy Leykekhman Buyang Li
+ PDF Chat	Fully discrete pointwise smoothing error estimates for measure valued initial data	2023	Dmitriy Leykekhman Boris Vexler Jakob Wagner
+	Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data	2023	Dmitriy Leykekhman Boris Vexler Jakob Wagner
+	$L^2(I;H^1(Ω))$ and $L^2(I;L^2(Ω))$ best approximation type error estimates for Galerkin solutions of transient Stokes problems	2023	Dmitriy Leykekhman Boris Vexler
+ PDF Chat	Local Energy Estimates for the Fractional Laplacian	2021	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+	Fully discrete best approximation type estimates in $L^{\infty}(I;L^2(Ω)^d)$ for finite element discretizations of the transient Stokes equations	2021	Niklas Behringer Dmitriy Leykekhman Boris Vexler
+	Weak discrete maximum principle of finite element methods in convex polyhedra	2020	Dmitriy Leykekhman Buyang Li
+	Local energy estimates for the fractional Laplacian	2020	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+ PDF Chat	Numerical analysis of sparse initial data identification for parabolic problems	2020	Dmitriy Leykekhman Boris Vexler Daniel Walter
+ PDF Chat	Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra	2020	Niklas Behringer Dmitriy Leykekhman Boris Vexler
+	Local energy estimates for the fractional Laplacian	2020	Juan Pablo Borthagaray Dmitriy Leykekhman Ricardo H. Nochetto
+	Mini-Workshop: Numerical Analysis for Non-Smooth PDE-Constrained Optimal Control Problems	2019	Susanne C. Brenner Dmitriy Leykekhman Boris Vexler
+	On the dimension spectrum of infinite subsystems of continued fractions	2019	Vasileios Chousionis Dmitriy Leykekhman Mariusz Urbański
+	Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra	2019	Niklas Behringer Dmitriy Leykekhman Boris Vexler
+	Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems	2019	Dmitriy Leykekhman Boris Vexler Daniel Walter
+	Weak discrete maximum principle of finite element methods in convex polyhedra	2019	Dmitriy Leykekhman Buyang Li
+	Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra	2019	Niklas Behringer Dmitriy Leykekhman Boris Vexler
+	Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems	2019	Dmitriy Leykekhman Boris Vexler Daniel Walter
+	On the dimension spectrum of infinite subsystems of continued fractions.	2018	Vasileios Chousionis Dmitriy Leykekhman Mariusz Urbański
+ PDF Chat	Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems	2018	Dmitriy Leykekhman Boris Vexler
+	The dimension spectrum of graph directed Markov systems	2018	Vasileios Chousionis Dmitriy Leykekhman Mariusz Urbański
+	A Brief Introduction to PDE-Constrained Optimization	2018	Harbir Antil Dmitriy Leykekhman
+	On the dimension spectrum of infinite subsystems of continued fractions	2018	Vasileios Chousionis Dmitriy Leykekhman Mariusz Urbański
+ PDF Chat	Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems	2017	Dmitriy Leykekhman Boris Vexler
+ PDF Chat	Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control	2017	Dmitriy Leykekhman Boris Vexler
+	Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions	2016	Dmitriy Leykekhman Buyang Li
+ PDF Chat	Discrete maximal parabolic regularity for Galerkin finite element methods	2016	Dmitriy Leykekhman Boris Vexler
+ PDF Chat	Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems	2016	Dmitriy Leykekhman Boris Vexler
+	A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control	2016	Dmitriy Leykekhman Boris Vexler
+	Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra	2012	Johnny Guzmán Dmitriy Leykekhman
+ PDF Chat	Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems	2012	Dmitriy Leykekhman Matthias Heinkenschloss
+	A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem	2011	Johnny Guzmán Dmitriy Leykekhman Michael Neilan
+	Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems	2010	Matthias Heinkenschloss Dmitriy Leykekhman
+ PDF Chat	A posteriori error estimates by recovered gradients in parabolic finite element equations	2008	Dmitriy Leykekhman Lars B. Wahlbin
+ PDF Chat	Weighted error estimates of the continuous interior penalty method for singularly perturbed problems	2008	Erik Burman Johnny Guzmán Dmitriy Leykekhman
+ PDF Chat	Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem	2007	Dmitriy Leykekhman
+	Pointwise localized error estimates for parabolic finite element equations	2004	Dmitriy Leykekhman
+ PDF Chat	The Shortest Enclosure of Two Connected Regions in a Corner	2001	G. Christopher Hruska Dmitriy Leykekhman Daniel Pinzon Brian Shay Joel Foisy

Common Coauthors

Coauthor	Papers Together
Boris Vexler	18
Vasileios Chousionis	5
Mariusz Urbański	5
Buyang Li	4
Niklas Behringer	4
Juan Pablo Borthagaray	3
Johnny Guzmán	3
Ricardo H. Nochetto	3
Jakob Wagner	3
Daniel Walter	2
Matthias Heinkenschloss	2
Genming Bai	1
Susanne C. Brenner	1
Daniel Walter	1
G. Christopher Hruska	1
Daniel Pinzon	1
Harbir Antil	1
Erik Burman	1
Joel Foisy	1
Lars B. Wahlbin	1
Michael Neilan	1
Brian Shay	1
Erik Wendt	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems	2016	Dmitriy Leykekhman Boris Vexler	9
+ PDF Chat	Discrete maximal parabolic regularity for Galerkin finite element methods	2016	Dmitriy Leykekhman Boris Vexler	8
+ PDF Chat	On the quasi-optimality in 𝐿_{∞} of the 𝐻̇¹-projection into finite element spaces	1982	A. H. Schatz Lars B. Wahlbin	8
+	Measure Valued Directional Sparsity for Parabolic Optimal Control Problems	2014	Karl Kunisch Konstantin Pieper Boris Vexler	6
+ PDF Chat	Time discretization of parabolic problems by the discontinuous Galerkin method	1985	Kenneth Eriksson Claes Johnson Vidar Thomée	6
+ PDF Chat	Sparse initial data identification for parabolic PDE and its finite element approximations	2015	Eduardo Casas Boris Vexler Enrique Zuazua	5
+	Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups	1998	Kenneth Eriksson Claes Johnson Stig Larsson	5
+	A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control	2016	Dmitriy Leykekhman Boris Vexler	5
+ PDF Chat	Maximum-norm estimates for resolvents of elliptic finite element operators	2002	N. Yu. Bakaev Vidar Thomée Lars B. Wahlbin	5
+	Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem	1991	Kenneth Eriksson Claes Johnson	5
+	Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $	1995	Kenneth Eriksson Claes Johnson	5
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée	5
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	5
+	Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra	2015	Buyang Li Weiwei Sun	4
+	�ber die punktweise Konvergenz Finiter Elemente	1975	Frank Natterer	4
+ PDF Chat	A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space	2013	Konstantin Pieper Boris Vexler	4
+ PDF Chat	Well-Posedness of Parabolic Difference Equations	1994	Allaberen Ashyralyev П. Е. Соболевский	4
+	<i>L</i><sub><i>p</i></sub> estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains	2007	Vladimir Maz’ya J. Roßmann	3
+	Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations	1989	Monique Dauge	3
+ PDF Chat	A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case	2005	Michael Hinze	3
+	None	2002	Anita Hansbo	3
+	Max-norm estimates for Stokes and Navier–Stokes approximations in convex polyhedra	2015	Vivette Girault Ricardo H. Nochetto L. Ridgway Scott	3
+ PDF Chat	Crosswind smear and pointwise errors in streamline diffusion finite element methods	1987	Claes Johnson A. H. Schatz Lars B. Wahlbin	3
+ PDF Chat	A posteriori error estimates by recovered gradients in parabolic finite element equations	2008	Dmitriy Leykekhman Lars B. Wahlbin	3
+ PDF Chat	The first boundary value problem for classical equations of mathematical physics in domains with piecewise-smooth boundaries. I (in Russian)	1983	Vladimir Maz’ya Б. А. Пламеневский	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+ PDF Chat	On a Finite Element Method for Solving the Neutron Transport Equation	1974	P. LASAINT Pierre-Arnaud Raviart	3
+ PDF Chat	Parabolic Control Problems in Measure Spaces with Sparse Solutions	2013	Eduardo Casas Christian Clason Karl Kunisch	3
+ PDF Chat	Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions	2012	Eduardo Casas Christian Clason Karl Kunisch	3
+ PDF Chat	Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems	2017	Dmitriy Leykekhman Boris Vexler	3
+	Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra	2012	Johnny Guzmán Dmitriy Leykekhman	3
+	Resolvent Estimates in Lp for Elliptic Systems in Lipschitz Domains	1995	Zhongwei Shen	3
+ PDF Chat	Potential space estimates for Green potentials in convex domains	1993	Stephen J. Fromm	3
+	Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind	1971	Johannes M. Nitsche	3
+	Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems	2006	Johnny Guzmán	2
+	The Inhomogeneous Dirichlet Problem in Lipschitz Domains	1995	David Jerison Carlos E. Kenig	2
+	Elliptic Equations in Polyhedral Domains	2010	Vladimir Maz’ya J. Roßmann	2
+	Pointwise error estimates for a streamline diffusion finite element scheme	1989	Koichi Niijima	2
+	Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations	2006	Konstantinos Chrysafinos Noel J. Walkington	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+	Partial Differential Equations	2010	Lawrence Evans	2
+ PDF Chat	Parabolic control problems in space-time measure spaces	2015	Eduardo Casas Karl Kunisch	2
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	2
+	Regularity Results for Elliptic Equations in Lipschitz Domains	1998	Giuseppe Savaré	2
+	Discrete maximum principle for finite-difference operators	1970	Philippe G. Ciarlet	2
+	Optimal pointwise control of semilinear parabolic equations	2000	Jérôme Droniou J.-P. Raymond	2
+	Optimal Control of Partial Differential Equations	2010	Fredi Tröltzsch	2
+	The Markoff and Lagrange Spectra	1989	Thomas W. Cusick Mary Flahive	2
+ PDF Chat	On Nonobtuse Simplicial Partitions	2009	Jan Brandts Sergey Korotov Michal Křı́žek Jakub Šolc	2
+ PDF Chat	Optimal control of the convection-diffusion equation using stabilized finite element methods	2007	Roland Becker Boris Vexler	2