Ludmil T Zikatanov

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Jinchao XuProfessor of Applied Mathematics and Computational Sciences, KAUSTVerified email at kaust.edu.sa
Xiaozhe HuTufts UniversityVerified email at tufts.edu
Carmen RodrigoUniversidad de ZaragozaVerified email at unizar.es
Francisco GasparZaragoza UniverrsityVerified email at unizar.es
James H AdlerTufts UniversityVerified email at tufts.edu
Panayot S. VassilevskiProfessor of Mathematics, Portland State UniversityVerified email at pdx.edu
Blanca Ayuso de DiosDipartimento di Matematica e Applicazioni, Universita degli Studi Milano-BicoccaVerified email at unimib.it
Constantin BacutaUniversity of DelawareVerified email at math.udel.edu
Victor NistorProfessor of Mathematics, Université LorraineVerified email at math.psu.edu
Johannes KrausProfessor for Numerical Analysis, University of Duisburg-EssenVerified email at uni-due.de
Raytcho LazarovProfessor Emeritus, Texas A&M University and Professor Emeritus, Bulgarian Academy of SciencesVerified email at math.tamu.edu
Young-Ju LeeProfessor of Mathematics, Texas State UniversityVerified email at txstate.edu
Peter OhmRIKEN-CCSVerified email at riken.jp
Yuwen LiZhejiang UniversityVerified email at zju.edu.cn
John C UrschelMITVerified email at mit.edu
T F ChanPresident, King Abdullah University of Science & TechnologyVerified email at kaust.edu.sa
Robert FalgoutLawrence Livermore National LaboratoryVerified email at llnl.gov
Robert ScheichlHeidelberg UniversityVerified email at uni-heidelberg.de
Chun LiuDepartment of Applied Mathematics, Illinois Institute of TechnologyVerified email at iit.edu
Yunrong ZhuDepartment of Mathematics and Statistics, Idaho State UniversityVerified email at isu.edu

Ludmil T Zikatanov

Professor of Mathematics, Penn State

Verified email at psu.edu - Homepage

Numerical Analysis Numerical Linear Algebra Approximation Theory Multilevel 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	352	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	312	2002
Some observations on Babu\vs} ka and Brezzi theories J Xu, L Zikatanov Numerische Mathematik 94 (1), 195-202, 2003	293	2003
Algebraic multigrid methods J Xu, L Zikatanov Acta Numerica 26, 591-721, 2017	269	2017
On two‐grid convergence estimates RD Falgout, PS Vassilevski, LT Zikatanov Numerical linear algebra with applications 12 (5‐6), 471-494, 2005	140	2005
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	130	2016
On an energy minimizing basis for algebraic multigrid methods J Xu, L Zikatanov Computing and Visualization in Science 7 (3), 121-127, 2004	110	2004
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, 165-184, 2005	109	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	103	2006
An agglomeration multigrid method for unstructured grids TF Chan, J Xu, L Zikatanov Contemporary mathematics 218, 67-81, 1998	96	1998
New stabilized discretizations for poroelasticity and the Stokes’ equations C Rodrigo, X Hu, P Ohm, JH Adler, FJ Gaspar, LT Zikatanov Computer Methods in Applied Mechanics and Engineering 341, 467-484, 2018	90	2018
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	90	2007
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	90	2003
Improved supercooling in transient thermoelectrics T Thonhauser, GD Mahan, L Zikatanov, J Roe Applied Physics Letters 85 (15), 3247-3249, 2004	86	2004
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	84	2017
Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I: A Priori Estimates C Bacuta, V Nistor, LT Zikatanov Numerical Functional Analysis and Optimization 26 (6), 613-639, 2005	69	2005
Interface and mixed boundary value problems on -dimensional polyhedral domains C Bacuta, AL Mazzucato, V Nistor, L Zikatanov Documenta Mathematica 15, 687-745, 2010	63	2010
Uniformly convergent iterative methods for discontinuous Galerkin discretizations B Ayuso de Dios, L Zikatanov Journal of Scientific Computing 40, 4-36, 2009	60	2009
Two‐sided bounds on the convergence rate of two‐level methods LT Zikatanov Numerical Linear Algebra with Applications 15 (5), 439-454, 2008	60	2008
Mathematical models for the deformation of electrolyte droplets R Ryham, C Liu, L Zikatanov Discrete and Continuous Dynamical Systems-B 8 (3), 649-661, 2007	60	2007

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