Ludmil Zikatanov

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	All	Since 2016
Citations	2975	1269
h-index	28	19
i10-index	57	38

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Co-authors

Jinchao XuProfessor of Mathematics, Penn State UniversityVerified email at psu.edu
Xiaozhe HuTufts UniversityVerified email at tufts.edu
Carmen RodrigoUniversidad de ZaragozaVerified email at unizar.es
Panayot S. VassilevskiProfessor of Mathematics, Portland State UniversityVerified email at pdx.edu
Johannes KrausProfessor for Numerical Analysis, University of Duisburg-EssenVerified email at uni-due.de
Francisco GasparZaragoza UniverrsityVerified email at unizar.es
James BrannickThe Pennsylvania State UniversityVerified email at psu.edu
Blanca Ayuso de DiosDipartimento di Matematica e Applicazioni, Universita degli Studi Milano-BicoccaVerified email at unimib.it
James H AdlerTufts UniversityVerified email at tufts.edu
Constantin BacutaUniversity of DelawareVerified email at math.udel.edu
John C UrschelPhD Student, MITVerified email at mit.edu
T F ChanPresident, King Abdullah University of Science & TechnologyVerified email at kaust.edu.sa
Victor NistorProfessor of Mathematics, Pennsylvania State University and Université LorraineVerified email at math.psu.edu
Peter OhmTufts UniversityVerified email at tufts.edu
Chun LiuDepartment of Applied Mathematics, Illinois Institute of TechnologyVerified email at iit.edu
Michael HolstProfessor of Mathematics and Physics, UC San DiegoVerified email at math.ucsd.edu
Paola F. AntoniettiProfessor of Numerical Analysis, Politecnico di MilanoVerified email at polimi.it
Marco VeraniMOX-Department of Mathematics, Politecnico of Milan, ItalyVerified email at polimi.it
Robert FalgoutLawrence Livermore National LaboratoryVerified email at llnl.gov
Chen-Song ZhangAcademy of Mathematics and Systems ScienceVerified email at lsec.cc.ac.cn

Ludmil Zikatanov

Professor of Mathematics, The Pennsylvania State University

Verified email at psu.edu - Homepage

Numerical Analysis Multigrid Finite Element Methods Domain Decomposition Methods


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A monotone finite element scheme for convection-diffusion equations J Xu, L Zikatanov Mathematics of Computation 68 (228), 1429-1446, 1999	281	1999
The method of alternating projections and the method of subspace corrections in Hilbert space J Xu, L Zikatanov Journal of the American Mathematical Society 15 (3), 573-597, 2002	265	2002
Some observations on Babuska and Brezzi theories J Xu, L Zikatanov Numerische Mathematik 94 (1), 195-202, 2003	220	2003
On two‐grid convergence estimates RD Falgout, PS Vassilevski, LT Zikatanov Numerical linear algebra with applications 12 (5‐6), 471-494, 2005	127	2005
On an energy minimizing basis for algebraic multigrid methods J Xu, L Zikatanov Computing and Visualization in Science 7 (3-4), 121-127, 2004	100	2004
Algebraic multigrid methods J Xu, LT Zikatanov arXiv preprint arXiv:1611.01917, 2016	92	2016
Improving the rate of convergence of ‘high order finite elements’ on polygons and domains with cusps C Băcuţă, V Nistor, LT Zikatanov Numerische Mathematik 100 (2), 165-184, 2005	90	2005
Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations VA Dobrev, RD Lazarov, PS Vassilevski, LT Zikatanov Numerical Linear Algebra with Applications 13 (9), 753-770, 2006	88	2006
An agglomeration multigrid method for unstructured grids TF Chan, J Xu, L Zikatanov Contemporary Mathematics 218, 67-81, 1998	84	1998
Stability and monotonicity for some discretizations of the Biot’s consolidation model C Rodrigo, FJ Gaspar, X Hu, LT Zikatanov Computer Methods in Applied Mechanics and Engineering 298, 183-204, 2016	78	2016
A multigrid method based on graph matching for convection–diffusion equations HH Kim, J Xu, L Zikatanov Numerical linear algebra with applications 10 (1‐2), 181-195, 2003	77	2003
Improved supercooling in transient thermoelectrics T Thonhauser, GD Mahan, L Zikatanov, J Roe Applied Physics Letters 85 (15), 3247-3249, 2004	71	2004
Uniformly convergent iterative methods for discontinuous Galerkin discretizations BA De Dios, L Zikatanov Journal of Scientific Computing 40 (1-3), 4-36, 2009	56	2009
Algebraic multigrid methods based on compatible relaxation and energy minimization J Brannick, L Zikatanov Domain decomposition methods in science and engineering XVI, 15-26, 2007	55	2007
Two‐sided bounds on the convergence rate of two‐level methods LT Zikatanov Numerical Linear Algebra with Applications 15 (5), 439-454, 2008	53	2008
Robust subspace correction methods for nearly singular systems YJ Lee, J Wu, J Xu, L Zikatanov Mathematical Models and Methods in Applied Sciences 17 (11), 1937-1963, 2007	53	2007
Mathematical models for the deformation of electrolyte droplets R Ryham, C Liu, L Zikatanov Discrete & Continuous Dynamical Systems-B 8 (3), 649, 2007	52	2007
A nonconforming finite element method for the Biot’s consolidation model in poroelasticity X Hu, C Rodrigo, FJ Gaspar, LT Zikatanov Journal of Computational and Applied Mathematics 310, 143-154, 2017	51	2017
Interface and mixed boundary value problems on-dimensional polyhedral domains. C Bacuta, AL Mazzucato, V Nistor, L Zikatanov Documenta Mathematica 15, 687-745, 2010	50	2010
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids R Scheichl, PS Vassilevski, LT Zikatanov SIAM Journal on Numerical Analysis 50 (3), 1675-1694, 2012	44	2012

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