117 items. Click any column heading to sort. Citation counts from OpenAlex, retrieved 24 August 2026. “—” means the record was not found in OpenAlex.
arXiv preprint list · Back to Ludmil’s home page
| # | Authors and title | Citations | Year |
|---|---|---|---|
| 1 | Jørgen N. Riseth, Timo Koch, Sofie Lysholm Lian, Tryggve Holck Storås, Ludmil T. Zikatanov, Lars Magnus Valnes, Kaja Nordengen, and Kent-André Mardal Human brain MRI data of intrathecally injected tracer evolution over 72 hours for data-integrated simulations Scientific Data, 13(1) | 0 | 2026 |
| 2 | Shuonan Wu and Ludmil T. Zikatanov On the unisolvence for the quasi-polynomial spaces of differential forms Comput. Methods Appl. Math., 26(2), pp. 285–307 | 1 | 2026 |
| 3 | Álvaro Pé de la Riva, Francisco J. Gaspar, Xiaozhe Hu, James H. Adler, Carmen Rodrigo, and Ludmil T. Zikatanov Oscillation-free numerical schemes for Biot's model and their iterative coupling solution SIAM J. Sci. Comput., 47(3), pp. A1809–A1834 | 1 | 2025 |
| 4 | Yuwen Li, Ludmil T. Zikatanov, and Cheng Zuo Reduced Krylov basis methods for parametric partial differential equations SIAM J. Numer. Anal., 63(2), pp. 976–999 | 3 | 2025 |
| 5 | Yuwen Li and Ludmil T. Zikatanov Nodal auxiliary a posteriori error estimates Math. Comp., published online 15 August 2025 | 1 | 2025 |
| 6 | Bastian Zapf, Lars Magnus Valnes, Kent-André Mardal, and Ludmil T. Zikatanov Quantifying cerebrospinal fluid tracer concentration in the brain Mathematical modelling of the human brain II, pp. 63–76 | 1 | 2025 |
| 7 | Álvaro Pé de la Riva, Carmen Rodrigo, Francisco J. Gaspar, James H. Adler, Xiaozhe Hu, and Ludmil Zikatanov A local Fourier analysis for additive Schwarz smoothers Comput. Math. Appl., 158, pp. 13–20 | 2 | 2024 |
| 8 | Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent-Andre Mardal, and Ludmil Zikatanov Algebraic multigrid methods for metric-perturbed coupled problems SIAM J. Sci. Comput., 46(3), pp. A1461–A1486 | 10 | 2024 |
| 9 | James H. Adler, Xiaozhe Hu, Yuwen Li, and Ludmil T. Zikatanov Parameter-free preconditioning for nearly-incompressible linear elasticity Comput. Math. Appl., 154, pp. 39–44 | 0 | 2024 |
| 10 | Carmen Rodrigo, Francisco J. Gaspar, James Adler, Xiaozhe Hu, Peter Ohm, and Ludmil Zikatanov Parameter-robust preconditioners for Biot's model SeMA J., 81(1), pp. 51–80 | 3 | 2024 |
| 11 | Yuwen Li, Ludmil Zikatanov, and Cheng Zuo A reduced conjugate gradient basis method for fractional diffusion SIAM J. Sci. Comput., 46(5), pp. S68–S87 | 10 | 2024 |
| 12 | Zhengqi Liu, Shuhao Cao, Yuwen Li, and Ludmil T. Zikatanov Neural networks with trainable matrix activation functions J. Mach. Learn. Model. Comput., 6(2), pp. 1–11 | 1 | 2024 |
| 13 | Maria Teresa Chiri, Kenneth D. Czuprynski, and Ludmil T. Zikatanov Weakly coupled systems of eikonal equations in path-planning problems 2024 American Control Conference (ACC), pp. 5036–5041 | 0 | 2024 |
| 14 | Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone, and Ludmil Zikatanov Automatic coarsening in algebraic multigrid utilizing quality measures for matching-based aggregations Comput. Math. Appl., 144, pp. 290–305 | 4 | 2023 |
| 15 | Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, and Ludmil T. Zikatanov HAZniCS–-software components for multiphysics problems ACM Trans. Math. Software, 49(4), pp. Art. 36, 23 | 2 | 2023 |
| 16 | Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, and Ludmil Zikatanov Rational approximation preconditioners for multiphysics problems Numerical methods and applications, 13858, pp. 100–113 | 6 | 2023 |
| 17 | Son-Young Yi, Sanghyun Lee, and Ludmil Zikatanov Locking-free enriched Galerkin method for linear elasticity SIAM J. Numer. Anal., 60(1), pp. 52–75 | 24 | 2022 |
| 18 | Yuwen Li and Ludmil T. Zikatanov New stabilized $P_1P_0$ finite element methods for nearly inviscid and incompressible flows Comput. Methods Appl. Mech. Engrg., 393, pp. Paper No. 114815, 17 | 6 | 2022 |
| 19 | Yuwen Li and Ludmil T. Zikatanov Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model IMA J. Numer. Anal., 42(1), pp. 620–648 | 12 | 2022 |
| 20 | James H. Adler, Casey Cavanaugh, Xiaozhe Hu, and Ludmil T. Zikatanov A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations SIAM J. Sci. Comput., 43(4), pp. A2638–A2659 | 1 | 2021 |
| 21 | Xiaozhe Hu, Kaiyi Wu, and Ludmil T. Zikatanov A posteriori error estimates for multilevel methods for graph Laplacians SIAM J. Sci. Comput., 43(5), pp. S727–S742 | 1 | 2021 |
| 22 | Yuwen Li and Ludmil Zikatanov A posteriori error estimates of finite element methods by preconditioning Comput. Math. Appl., 91, pp. 192–201 | 9 | 2021 |
| 23 | John C. Urschel and Ludmil T. Zikatanov Discrete trace theorems and energy minimizing spring embeddings of planar graphs Linear Algebra Appl., 609, pp. 73–107 | 0 | 2021 |
| 24 | Simo Wu, Chun Liu, and Ludmil Zikatanov Energetic stable discretization for non-isothermal electrokinetics model J. Comput. Phys., 425, pp. Paper No. 109889, 17 | 4 | 2021 |
| 25 | Chunmei Wang and Ludmil Zikatanov Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations J. Comput. Appl. Math., 394, pp. Paper No. 113543, 18 | 19 | 2021 |
| 26 | Juan Batista, Xiaozhe Hu, and Ludmil T. Zikatanov Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation Comput. Math. Appl., 80(2), pp. 405–416 | 5 | 2020 |
| 27 | J. H. Adler, F. J. Gaspar, X. Hu, P. Ohm, C. Rodrigo, and L. T. Zikatanov Robust preconditioners for a new stabilized discretization of the poroelastic equations SIAM J. Sci. Comput., 42(3), pp. B761–B791 | 4 | 2020 |
| 28 | Xiaozhe Hu, Junyuan Lin, and Ludmil T. Zikatanov An adaptive multigrid method based on path cover SIAM J. Sci. Comput., 41(5), pp. S220–S241 | 22 | 2019 |
| 29 | Francisco J. Gaspar, Carmen Rodrigo, Xiaozhe Hu, Peter Ohm, James Adler, and Ludmil Zikatanov New stabilized discretizations for poroelasticity equations Numerical methods and applications, 11189, pp. 3–14 | 1 | 2019 |
| 30 | Carmen Rodrigo, Francisco J. Gaspar, and Ludmil T. Zikatanov On the validity of the local Fourier analysis J. Comput. Math., 37(3), pp. 340–348 | 0 | 2019 |
| 31 | Katherine Y. Zipp, Yangqingxiang Wu, Kaiyi Wu, and Ludmil T. Zikatanov Optimal spatial-dynamic management to minimize the damages caused by aquatic invasive species Letters in Spatial and Resource Sciences, 12(3), pp. 199–213 | 0 | 2019 |
| 32 | Xiaozhe Hu, Jinchao Xu, and Ludmil T. Zikatanov Randomized and fault-tolerant method of subspace corrections Res. Math. Sci., 6(3), pp. Paper No. 29, 15 | 1 | 2019 |
| 33 | Wenfang Xu and Ludmil T. Zikatanov Adaptive aggregation on graphs J. Comput. Appl. Math., 340, pp. 718–730 | 7 | 2018 |
| 34 | J. H. Adler, I. Lashuk, S. P. MacLachlan, and L. T. Zikatanov Discrete energy laws for the first-order system least-squares finite-element approach Large-scale scientific computing, 10665, pp. 3–20 | 0 | 2018 |
| 35 | Yangqingxiang Wu and Ludmil Zikatanov Fourier Method for Approximating Eigenvalues of Indefinite Stekloff Operator High Performance Computing in Science and Engineering, pp. 34–46 | 2 | 2018 |
| 36 | C. Rodrigo, X. Hu, P. Ohm, J. H. Adler, F. J. Gaspar, and L. T. Zikatanov New stabilized discretizations for poroelasticity and the Stokes' equations Comput. Methods Appl. Mech. Engrg., 341, pp. 467–484 | 85 | 2018 |
| 37 | James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, and Ludmil T. Zikatanov Robust block preconditioners for Biot's model Domain decomposition methods in science and engineering XXIV, 125, pp. 3–16 | 13 | 2018 |
| 38 | Frank Deutsch, Hein Hundal, and Ludmil Zikatanov Some applications of the Hahn-Banach separation theorem Appl. Anal. Optim., 2(2), pp. 199–218 | 1 | 2018 |
| 39 | Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar, and Ludmil T. Zikatanov A nonconforming finite element method for the Biot's consolidation model in poroelasticity J. Comput. Appl. Math., 310, pp. 143–154 | 83 | 2017 |
| 40 | Paola F. Antonietti, Marco Sarti, Marco Verani, and Ludmil T. Zikatanov A uniform additive Schwarz preconditioner for high-order discontinuous Galerkin approximations of elliptic problems J. Sci. Comput., 70(2), pp. 608–630 | 29 | 2017 |
| 41 | Jinchao Xu and Ludmil Zikatanov Algebraic multigrid methods Acta Numer., 26, pp. 591–721 | 251 | 2017 |
| 42 | Randolph E. Bank, Panayot S. Vassilevski, and Ludmil T. Zikatanov Arbitrary dimension convection-diffusion schemes for space-time discretizations J. Comput. Appl. Math., 310, pp. 19–31 | 28 | 2017 |
| 43 | Xiaozhe Hu, John C. Urschel, and Ludmil T. Zikatanov On the approximation of Laplacian eigenvalues in graph disaggregation Linear Multilinear Algebra, 65(9), pp. 1805–1822 | 1 | 2017 |
| 44 | J. H. Adler, X. Hu, and L. T. Zikatanov Robust solvers for Maxwell's equations with dissipative boundary conditions SIAM J. Sci. Comput., 39(5), pp. S3–S23 | 0 | 2017 |
| 45 | Qingguo Hong, Johannes Kraus, Jinchao Xu, and Ludmil Zikatanov A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations Numer. Math., 132(1), pp. 23–49 | 56 | 2016 |
| 46 | John C. Urschel and Ludmil T. Zikatanov On the maximal error of spectral approximation of graph bisection Linear Multilinear Algebra, 64(10), pp. 1972–1979 | 6 | 2016 |
| 47 | Johannes Kraus, Raytcho Lazarov, Maria Lymbery, Svetozar Margenov, and Ludmil Zikatanov Preconditioning heterogeneous $H(div)$ problems by additive Schur complement approximation and applications SIAM J. Sci. Comput., 38(2), pp. A875–A898 | 23 | 2016 |
| 48 | C. Rodrigo, F. J. Gaspar, X. Hu, and L. T. Zikatanov Stability and monotonicity for some discretizations of the Biot's consolidation model Comput. Methods Appl. Mech. Engrg., 298, pp. 183–204 | 126 | 2016 |
| 49 | John C. Urschel, Jinchao Xu, Xiaozhe Hu, and Ludmil T. Zikatanov A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians J. Comput. Math., 33(2), pp. 209–226 | 3 | 2015 |
| 50 | C. Rodrigo, F. J. Gaspar, X. Hu, and L. Zikatanov A finite element framework for some mimetic finite difference discretizations Comput. Math. Appl., 70(11), pp. 2661–2673 | 14 | 2015 |
| 51 | Paola F. Antonietti, Marco Verani, and Ludmil Zikatanov A two-level method for mimetic finite difference discretizations of elliptic problems Comput. Math. Appl., 70(11), pp. 2674–2687 | 6 | 2015 |
| 52 | Stanislav Harizanov, Svetozar Margenov, and Ludmil Zikatanov Fast constrained image segmentation using optimal spanning trees Large-scale scientific computing, 9374, pp. 15–29 | 1 | 2015 |
| 53 | James Brannick, Xiaozhe Hu, Carmen Rodrigo, and Ludmil Zikatanov Local Fourier analysis of multigrid methods with polynomial smoothers and aggressive coarsening Numer. Math. Theory Methods Appl., 8(1), pp. 1–21 | 0 | 2015 |
| 54 | Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, and Ludmil Zikatanov A simple preconditioner for a discontinuous Galerkin method for the Stokes problem J. Sci. Comput., 58(3), pp. 517–547 | 37 | 2014 |
| 55 | Panayot S. Vassilevski and Ludmil T. Zikatanov Commuting projections on graphs Numer. Linear Algebra Appl., 21(3), pp. 297–315 | 9 | 2014 |
| 56 | Blanca Ayuso de Dios, Michael Holst, Yunrong Zhu, and Ludmil Zikatanov Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients Math. Comp., 83(287), pp. 1083–1120 | 29 | 2014 |
| 57 | Blanca Ayuso de Dios and Ludmil Zikatanov Space decompositions and solvers for discontinuous Galerkin methods Domain decomposition methods in science and engineering XXI, 98, pp. 3–15 | 0 | 2014 |
| 58 | John C. Urschel and Ludmil T. Zikatanov Spectral bisection of graphs and connectedness Linear Algebra Appl., 449, pp. 1–16 | 15 | 2014 |
| 59 | Blanca Ayuso de Dios, Ariel Lombardi, Paola Pietra, and Ludmil Zikatanov A block solver for the exponentially fitted IIPG-0 method Domain decomposition methods in science and engineering XX, 91, pp. 239–246 | 3 | 2013 |
| 60 | Blanca Ayuso de Dios, Ivan Georgiev, Johannes Kraus, and Ludmil Zikatanov A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations ESAIM Math. Model. Numer. Anal., 47(5), pp. 1315–1333 | 8 | 2013 |
| 61 | E. Karer, J. K. Kraus, and L. T. Zikatanov A subspace correction method for nearly singular linear elasticity problems Domain decomposition methods in science and engineering XX, 91, pp. 159–166 | 1 | 2013 |
| 62 | J. Brannick, Y. Chen, J. Kraus, and L. Zikatanov Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs SIAM J. Numer. Anal., 51(3), pp. 1805–1827 | 30 | 2013 |
| 63 | James Brannick, Yao Chen, Johannes Kraus, and Ludmil Zikatanov An algebraic multigrid method based on matching in graphs Domain decomposition methods in science and engineering XX, 91, pp. 143–150 | 6 | 2013 |
| 64 | Guozhu Yu, Jinchao Xu, and Ludmil T. Zikatanov Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids Numer. Linear Algebra Appl., 20(5), pp. 832–851 | 5 | 2013 |
| 65 | Xiaozhe Hu, Shuhong Wu, Xiao-Hui Wu, Jinchao Xu, Chen-Song Zhang, Shiquan Zhang, and Ludmil Zikatanov Combined preconditioning with applications in reservoir simulation Multiscale Model. Simul., 11(2), pp. 507–521 | 26 | 2013 |
| 66 | Blanca Ayuso De Dios, Michael Holst, Yunrong Zhu, and Ludmil Zikatanov Multigrid preconditioner for nonconforming discretization of elliptic problems with jump coefficients Domain decomposition methods in science and engineering XX, 91, pp. 183–190 | 1 | 2013 |
| 67 | J. H. Adler, V. Petkov, and L. T. Zikatanov Numerical approximation of asymptotically disappearing solutions of Maxwell's equations SIAM J. Sci. Comput., 35(5), pp. S386–S401 | 4 | 2013 |
| 68 | James Brannick, Yao Chen, Xiaozhe Hu, and Ludmil Zikatanov Parallel unsmoothed aggregation algebraic multigrid algorithms on GPUs Numerical solution of partial differential equations: theory, algorithms, and their applications, 45, pp. 81–102 | 24 | 2013 |
| 69 | Frank Deutsch, Hein Hundal, and Ludmil Zikatanov Visible points in convex sets and best approximation Computational and analytical mathematics, 50, pp. 349–364 | 1 | 2013 |
| 70 | James Brannick, Yao Chen, and Ludmil Zikatanov An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching Numer. Linear Algebra Appl., 19(2), pp. 279–295 | 24 | 2012 |
| 71 | Robert Scheichl, Panayot S. Vassilevski, and Ludmil T. Zikatanov Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids SIAM J. Numer. Anal., 50(3), pp. 1675–1694 | 35 | 2012 |
| 72 | P. Boyanova, I. Georgiev, S. Margenov, and L. Zikatanov Multilevel preconditioning of graph-Laplacians: polynomial approximation of the pivot blocks inverses Math. Comput. Simulation, 82(10), pp. 1964–1971 | 1 | 2012 |
| 73 | Johannes Kraus, Panayot Vassilevski, and Ludmil Zikatanov Polynomial of best uniform approximation to $1/x$ and smoothing in two-level methods Comput. Methods Appl. Math., 12(4), pp. 448–468 | 23 | 2012 |
| 74 | B. Ayuso, I. Georgiev, J. Kraus, and L. Zikatanov A simple preconditioner for the SIPG discretization of linear elasticity equations Numerical methods and applications, 6046, pp. 353–360 | 1 | 2011 |
| 75 | Blanca Ayuso and Ludmil T. Zikatanov A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin discretization Domain decomposition methods in science and engineering XIX, 78, pp. 335–342 | 1 | 2011 |
| 76 | J. H. Adler, J. Brannick, C. Liu, T. Manteuffel, and L. Zikatanov First-order system least squares and the energetic variational approach for two-phase flow J. Comput. Phys., 230(17), pp. 6647–6663 | 13 | 2011 |
| 77 | Robert Scheichl, Panayot S. Vassilevski, and Ludmil T. Zikatanov Weak approximation properties of elliptic projections with functional constraints Multiscale Model. Simul., 9(4), pp. 1677–1699 | 27 | 2011 |
| 78 | J. Brannick, A. Frommer, K. Kahl, S. MacLachlan, and L. Zikatanov Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems Electron. Trans. Numer. Anal., 37, pp. 276–295 | 11 | 2010 |
| 79 | Constantin Băcuţă, Anna L. Mazzucato, Victor Nistor, and Ludmil Zikatanov Interface and mixed boundary value problems on $n$-dimensional polyhedral domains Doc. Math., 15, pp. 687–745 | 60 | 2010 |
| 80 | Jose I. Duo, Yousry Y. Azmy, and Ludmil T. Zikatanov A posteriori error estimator and AMR for discrete ordinates nodal transport methods Annals of Nuclear Energy, 36(3), pp. 268–273 | 32 | 2009 |
| 81 | Olivier Dubois, Ilya D. Mishev, and Ludmil Zikatanov Energy Minimizing Bases for Efficient Multiscale Modeling and Linear Solvers in Reservoir Simulation SPE Reservoir Simulation Symposium | 4 | 2009 |
| 82 | Blanca Ayuso de Dios and Ludmil Zikatanov Uniformly convergent iterative methods for discontinuous Galerkin discretizations J. Sci. Comput., 40(1-3), pp. 4–36 | 44 | 2009 |
| 83 | Young-Ju Lee, Jinbiao Wu, Jinchao Xu, and Ludmil Zikatanov A sharp convergence estimate for the method of subspace corrections for singular systems of equations Math. Comp., 77(262), pp. 831–850 | 37 | 2008 |
| 84 | Panayot S. Vassilevski and Ludmil T. Zikatanov Advanced multigrid methods for systems of PDEs Numer. Linear Algebra Appl., 15(5), pp. 393 | 0 | 2008 |
| 85 | Jinbiao Wu, Young-Ju Lee, Jinchao Xu, and Ludmil Zikatanov Convergence analysis on iterative methods for semidefinite systems J. Comput. Math., 26(6), pp. 797–815 | 6 | 2008 |
| 86 | Shi Shu, Ivo Babuška, Yingxiong Xiao, Jinchao Xu, and Ludmil Zikatanov Multilevel preconditioning methods for discrete models of lattice block materials SIAM J. Sci. Comput., 31(1), pp. 687–707 | 3 | 2008 |
| 87 | Durkbin Cho, Jinchao Xu, and Ludmil Zikatanov New estimates for the rate of convergence of the method of subspace corrections Numer. Math. Theory Methods Appl., 1(1), pp. 44–56 | 17 | 2008 |
| 88 | Veselin A. Dobrev, Raytcho D. Lazarov, and Ludmil T. Zikatanov Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems Domain decomposition methods in science and engineering XVII, 60, pp. 33–44 | 9 | 2008 |
| 89 | Ludmil T. Zikatanov Two-sided bounds on the convergence rate of two-level methods Numer. Linear Algebra Appl., 15(5), pp. 439–454 | 54 | 2008 |
| 90 | James J. Brannick, Hengguang Li, and Ludmil T. Zikatanov Uniform convergence of the multigrid $V$-cycle on graded meshes for corner singularities Numer. Linear Algebra Appl., 15(2-3), pp. 291–306 | 34 | 2008 |
| 91 | D. Cho and L. Zikatanov A multilevel preconditioning for generalized finite element method problems on unstructured simplicial meshes J. Numer. Math., 15(3), pp. 163–180 | 9 | 2007 |
| 92 | James Brannick, Marian Brezina, David Keyes, Oren Livne, Irene Livshits, Scott MacLachlan, Tom Manteuffel, Steve McCormick, John Ruge, and Ludmil Zikatanov Adaptive smoothed aggregation in lattice QCD Domain decomposition methods in science and engineering XVI, 55, pp. 505–512 | 12 | 2007 |
| 93 | James Brannick and Ludmil Zikatanov Algebraic multigrid methods based on compatible relaxation and energy minimization Domain decomposition methods in science and engineering XVI, 55, pp. 15–26 | 31 | 2007 |
| 94 | Constantin Bacuta, Victor Nistor, and Ludmil T. Zikatanov Improving the rate of convergence of high-order finite elements on polyhedra. II. Mesh refinements and interpolation Numer. Funct. Anal. Optim., 28(7-8), pp. 775–824 | 36 | 2007 |
| 95 | Rolf Ryham, Chun Liu, and Ludmil Zikatanov Mathematical models for the deformation of electrolyte droplets Discrete Contin. Dyn. Syst. Ser. B, 8(3), pp. 649–661 | 50 | 2007 |
| 96 | Young-Ju Lee, Jinbiao Wu, Jinchao Xu, and Ludmil Zikatanov Robust subspace correction methods for nearly singular systems Math. Models Methods Appl. Sci., 17(11), pp. 1937–1963 | 84 | 2007 |
| 97 | J. Brannick, M. Brezina, R. Falgout, T. Manteuffel, S. McCormick, J. Ruge, B. Sheehan, J. Xu, and L. Zikatanov Extending the applicability of multigrid methods J. Phys. Conf. Ser., 46, pp. 443–452 | 10 | 2006 |
| 98 | Panayot S. Vassilevski and Ludmil T. Zikatanov Multiple vector preserving interpolation mappings in algebraic multigrid SIAM J. Matrix Anal. Appl., 27(4), pp. 1040–1055 | 16 | 2006 |
| 99 | Young-Ju Lee, Jinbiao Wu, Jinchao Xu, and Ludmil Zikatanov On the convergence of iterative methods for semidefinite linear systems SIAM J. Matrix Anal. Appl., 28(3), pp. 634–641 | 32 | 2006 |
| 100 | Veselin A. Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, and Ludmil T. Zikatanov Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations Numer. Linear Algebra Appl., 13(9), pp. 753–770 | 86 | 2006 |
| 101 | Constantin Băcuţă, Victor Nistor, and Ludmil T. Zikatanov Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps Numer. Math., 100(2), pp. 165–184 | 85 | 2005 |
| 102 | Constantin Bacuta, Victor Nistor, and Ludmil T. Zikatanov Improving the rate of convergence of high-order finite elements on polyhedra. I. A priori estimates Numer. Funct. Anal. Optim., 26(6), pp. 613–639 | 57 | 2005 |
| 103 | Robert D. Falgout, Panayot S. Vassilevski, and Ludmil T. Zikatanov On two-grid convergence estimates Numer. Linear Algebra Appl., 12(5-6), pp. 471–494 | 111 | 2005 |
| 104 | C. Bacuta, J. Chen, Y. Huang, J. Xu, and L. Zikatanov Partition of unity method on nonmatching grids for the Stokes problem J. Numer. Math., 13(3), pp. 157–169 | 7 | 2005 |
| 105 | T. Thonhauser, G. D. Mahan, L. Zikatanov, and J. Roe Improved supercooling in transient thermoelectrics Applied Physics Letters, 85(15), pp. 3247–3249 | 64 | 2004 |
| 106 | Jinchao Xu and Ludmil Zikatanov On an energy minimizing basis for algebraic multigrid methods Comput. Vis. Sci., 7(3-4), pp. 121–127 | 117 | 2004 |
| 107 | Hwanho Kim, Jinchao Xu, and Ludmil Zikatanov Uniformly convergent multigrid methods for convection-diffusion problems without any constraint on coarse grids Adv. Comput. Math., 20(4), pp. 385–399 | 12 | 2004 |
| 108 | HwanHo Kim, Jinchao Xu, and Ludmil Zikatanov A multigrid method based on graph matching for convection-diffusion equations Numer. Linear Algebra Appl., 10(1-2), pp. 181–195 | 59 | 2003 |
| 109 | Jinchao Xu and Ludmil T. Zikatanov On multigrid methods for generalized finite element methods Meshfree methods for partial differential equations (Bonn, 2001), 26, pp. 401–418 | 17 | 2003 |
| 110 | Jinchao Xu and Ludmil Zikatanov Some observations on Babuška and Brezzi theories Numer. Math., 94(1), pp. 195–202 | 193 | 2003 |
| 111 | Young-Ju Lee, Jinchao Xu, and Ludmil Zikatanov Successive subspace correction method for singular system of equations Domain decomposition methods in science and engineering, pp. 315–321 | — | 2003 |
| 112 | Shi Shu, Jinchao Xu, Yingxiong Xiao, and Ludmil Zikatanov Algebraic multigrid method on lattice block materials Recent progress in computational and applied PDEs (Zhangjiajie, 2001), pp. 289–307 | 3 | 2002 |
| 113 | Jinchao Xu and Ludmil Zikatanov The method of alternating projections and the method of subspace corrections in Hilbert space J. Amer. Math. Soc., 15(3), pp. 573–597 | 278 | 2002 |
| 114 | Jinchao Xu and Ludmil Zikatanov A monotone finite element scheme for convection-diffusion equations Math. Comp., 68(228), pp. 1429–1446 | 258 | 1999 |
| 115 | Tony F. Chan, Jinchao Xu, and Ludmil Zikatanov An agglomeration multigrid method for unstructured grids Domain decomposition methods, 10 (Boulder, CO, 1997), 218, pp. 67–81 | 70 | 1998 |
| 116 | I. D. Lirkov, S. D. Margenov, and L. T. Zikatanov Circulant block-factorization preconditioning of anisotropic elliptic problems Computing, 58(3), pp. 245–258 | 9 | 1997 |
| 117 | L. T. Zikatanov A modified Galerkin-Petrov method for modeling semiconductor devices on the basis of the finite element method Mat. Model., 4(5), pp. 85–99 | — | 1992 |
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