Dmitriy Leykekhman

700 total citations
28 papers, 438 citations indexed

About

Dmitriy Leykekhman is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Dmitriy Leykekhman has authored 28 papers receiving a total of 438 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Computational Mechanics, 24 papers in Computational Theory and Mathematics and 8 papers in Numerical Analysis. Recurrent topics in Dmitriy Leykekhman's work include Advanced Numerical Methods in Computational Mathematics (26 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Differential Equations and Numerical Methods (7 papers). Dmitriy Leykekhman is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (26 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Differential Equations and Numerical Methods (7 papers). Dmitriy Leykekhman collaborates with scholars based in United States, Germany and Hong Kong. Dmitriy Leykekhman's co-authors include Boris Vexler, Matthias Heinkenschloss, Johnny Guzmán, A. H. Schatz, Lars B. Wahlbin, Michael Neilan, J. Roßmann, Erik Burman, Alan Demlow and Buyang Li and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and SIAM Journal on Control and Optimization.

In The Last Decade

Dmitriy Leykekhman

26 papers receiving 409 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Dmitriy Leykekhman United States 14 370 322 144 93 68 28 438
János Karátson Hungary 14 346 0.9× 323 1.0× 163 1.1× 197 2.1× 72 1.1× 69 544
Enrique Otárola Chile 11 188 0.5× 181 0.6× 175 1.2× 134 1.4× 105 1.5× 40 442
Mariano Mateos Spain 11 413 1.1× 391 1.2× 94 0.7× 126 1.4× 75 1.1× 39 496
Constantin Bǎcuţǎ United States 11 328 0.9× 257 0.8× 78 0.5× 157 1.7× 49 0.7× 29 392
Alan Demlow United States 14 497 1.3× 311 1.0× 93 0.6× 235 2.5× 51 0.8× 26 562
Ayçıl Çeşmeli̇oğlu United States 9 423 1.1× 195 0.6× 65 0.5× 103 1.1× 13 0.2× 22 456
Guangwei Yuan China 15 496 1.3× 131 0.4× 355 2.5× 76 0.8× 25 0.4× 80 616
Christian Kreuzer Germany 10 543 1.5× 352 1.1× 108 0.8× 268 2.9× 75 1.1× 19 626
Serge Nicaise France 10 260 0.7× 155 0.5× 33 0.2× 166 1.8× 41 0.6× 27 326
Rajen Kumar Sinha India 11 346 0.9× 163 0.5× 159 1.1× 201 2.2× 37 0.5× 52 390

Countries citing papers authored by Dmitriy Leykekhman

Since Specialization
Citations

This map shows the geographic impact of Dmitriy Leykekhman's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dmitriy Leykekhman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dmitriy Leykekhman more than expected).

Fields of papers citing papers by Dmitriy Leykekhman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dmitriy Leykekhman. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dmitriy Leykekhman. The network helps show where Dmitriy Leykekhman may publish in the future.

Co-authorship network of co-authors of Dmitriy Leykekhman

This figure shows the co-authorship network connecting the top 25 collaborators of Dmitriy Leykekhman. A scholar is included among the top collaborators of Dmitriy Leykekhman based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dmitriy Leykekhman. Dmitriy Leykekhman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Vexler, Boris, et al.. (2022). Fully discrete best-approximation-type estimates inL∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations. IMA Journal of Numerical Analysis. 43(2). 852–880. 4 indexed citations
3.
Leykekhman, Dmitriy & Buyang Li. (2020). Weak discrete maximum principle of finite element methods in convex polyhedra. Mathematics of Computation. 90(327). 1–18. 8 indexed citations
4.
Leykekhman, Dmitriy, et al.. (2019). The dimension spectrum of conformal graph directed Markov systems. Selecta Mathematica. 25(3). 1 indexed citations
5.
Leykekhman, Dmitriy & Boris Vexler. (2018). Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM Journal on Numerical Analysis. 56(4). 2178–2202. 7 indexed citations
6.
Leykekhman, Dmitriy & Boris Vexler. (2017). Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM Journal on Numerical Analysis. 55(4). 2025–2049. 2 indexed citations
7.
Leykekhman, Dmitriy & Buyang Li. (2016). Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions. CALCOLO. 54(2). 541–565. 5 indexed citations
8.
Leykekhman, Dmitriy & Boris Vexler. (2016). Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM Journal on Numerical Analysis. 54(3). 1365–1384. 19 indexed citations
9.
Leykekhman, Dmitriy & Boris Vexler. (2016). Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik. 135(3). 923–952. 30 indexed citations
10.
Leykekhman, Dmitriy & Boris Vexler. (2016). A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Control and Optimization. 54(5). 2403–2435. 13 indexed citations
11.
Leykekhman, Dmitriy, Dominik Meidner, & Boris Vexler. (2013). Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Computational Optimization and Applications. 55(3). 769–802. 14 indexed citations
12.
Leykekhman, Dmitriy & Boris Vexler. (2013). Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Numerical Analysis. 51(5). 2797–2821. 31 indexed citations
13.
Guzmán, Johnny & Dmitriy Leykekhman. (2012). Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Mathematics of Computation. 81(280). 1879–1902. 17 indexed citations
14.
Leykekhman, Dmitriy. (2012). Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems. Journal of Scientific Computing. 53(3). 483–511. 27 indexed citations
15.
Demlow, Alan, Dmitriy Leykekhman, A. H. Schatz, & Lars B. Wahlbin. (2011). Best approximation property in the $W^1_{\infty }$ norm for finite element methods on graded meshes. Mathematics of Computation. 81(278). 743–764. 29 indexed citations
16.
Guzmán, Johnny, Dmitriy Leykekhman, & Michael Neilan. (2011). A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem. CALCOLO. 49(2). 95–125. 33 indexed citations
17.
Heinkenschloss, Matthias & Dmitriy Leykekhman. (2010). Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. SIAM Journal on Numerical Analysis. 47(6). 4607–4638. 41 indexed citations
18.
Guzmán, Johnny, Dmitriy Leykekhman, J. Roßmann, & A. H. Schatz. (2009). Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik. 112(2). 221–243. 39 indexed citations
19.
Burman, Erik, Johnny Guzmán, & Dmitriy Leykekhman. (2008). Weighted error estimates of the continuous interior penalty method for singularly perturbed problems. IMA Journal of Numerical Analysis. 29(2). 284–314. 21 indexed citations
20.
Leykekhman, Dmitriy. (2007). Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem. Mathematics of Computation. 77(261). 21–39. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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