Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems M Heinkenschloss, D Leykekhman SIAM Journal on Numerical Analysis 47 (6), 4607-4638, 2010 | 74 | 2010 |
Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods J Guzmán, D Leykekhman, J Rossmann, AH Schatz Numerische Mathematik 112 (2), 221-243, 2009 | 64 | 2009 |
Discrete maximal parabolic regularity for Galerkin finite element methods D Leykekhman, B Vexler Numerische Mathematik 135 (3), 923-952, 2017 | 62 | 2017 |
Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems D Leykekhman, M Heinkenschloss SIAM Journal on Numerical Analysis 50 (4), 2012-2038, 2012 | 60 | 2012 |
Optimal a priori error estimates of parabolic optimal control problems with pointwise control D Leykekhman, B Vexler SIAM Journal on Numerical Analysis 51 (5), 2797-2821, 2013 | 57 | 2013 |
Best approximation property in the 𝑊¹_ {∞} norm for finite element methods on graded meshes A Demlow, D Leykekhman, A Schatz, L Wahlbin Mathematics of Computation 81 (278), 743-764, 2012 | 54 | 2012 |
Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems D Leykekhman Journal of Scientific Computing 53 (3), 483-511, 2012 | 46 | 2012 |
A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem J Guzmán, D Leykekhman, M Neilan Calcolo 49, 95-125, 2012 | 40 | 2012 |
Finite element pointwise results on convex polyhedral domains D Leykekhman, B Vexler SIAM Journal on Numerical Analysis 54 (2), 561-587, 2016 | 38 | 2016 |
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems D Leykekhman, B Vexler SIAM Journal on Numerical Analysis 54 (3), 1365-1384, 2016 | 37 | 2016 |
Weighted error estimates of the continuous interior penalty method for singularly perturbed problems E Burman, J Guzmán, D Leykekhman IMA journal of numerical analysis 29 (2), 284-314, 2009 | 37 | 2009 |
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra J Guzmán, D Leykekhman Mathematics of Computation 81 (280), 1879-1902, 2012 | 36 | 2012 |
Local energy estimates for the fractional Laplacian JP Borthagaray, D Leykekhman, RH Nochetto SIAM Journal on Numerical Analysis 59 (4), 1918-1947, 2021 | 35 | 2021 |
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints D Leykekhman, D Meidner, B Vexler Computational Optimization and Applications 55, 769-802, 2013 | 28 | 2013 |
Pointwise localized error estimates for parabolic finite element equations D Leykekhman Numerische Mathematik 96, 583-600, 2004 | 25 | 2004 |
Numerical analysis of sparse initial data identification for parabolic problems D Leykekhman, B Vexler, D Walter ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 1139-1180, 2020 | 24 | 2020 |
A priori error estimates for three dimensional parabolic optimal control problems with pointwise control D Leykekhman, B Vexler SIAM Journal on Control and Optimization 54 (5), 2403-2435, 2016 | 23 | 2016 |
On the dimension spectrum of infinite subsystems of continued fractions V Chousionis, D Leykekhman, M Urbañski Transactions of the American Mathematical Society 373 (2), 1009-1042, 2020 | 20 | 2020 |
A brief introduction to PDE-constrained optimization H Antil, D Leykekhman Frontiers in PDE-constrained optimization, 3-40, 2018 | 16 | 2018 |
A posteriori error estimates by recovered gradients in parabolic finite element equations D Leykekhman, LB Wahlbin BIT Numerical Mathematics 48, 585-605, 2008 | 16 | 2008 |