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Ludmil T Zikatanov
Ludmil T Zikatanov
Professor of Mathematics, Penn State
Verified email at psu.edu - Homepage
Title
Cited by
Cited by
Year
A monotone finite element scheme for convection-diffusion equations
J Xu, L Zikatanov
Mathematics of Computation 68 (228), 1429-1446, 1999
3071999
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
2992002
Some observations on Babu\vs} ka and Brezzi theories
J Xu, L Zikatanov
Numerische Mathematik 94 (1), 195-202, 2003
2502003
Algebraic multigrid methods
J Xu, L Zikatanov
Acta Numerica 26, 591-721, 2017
1792017
On two‐grid convergence estimates
RD Falgout, PS Vassilevski, LT Zikatanov
Numerical linear algebra with applications 12 (5‐6), 471-494, 2005
1362005
On an energy minimizing basis for algebraic multigrid methods
J Xu, L Zikatanov
Computing and Visualization in Science 7 (3), 121-127, 2004
1072004
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
1012005
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
1002016
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
942006
An agglomeration multigrid method for unstructured grids
TF Chan, J Xu, L Zikatanov
Contemporary Mathematics 218, 67-81, 1998
921998
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
842003
Improved supercooling in transient thermoelectrics
T Thonhauser, GD Mahan, L Zikatanov, J Roe
Applied Physics Letters 85 (15), 3247-3249, 2004
812004
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
722018
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
672017
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
672007
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
652005
Interface and mixed boundary value problems on-dimensional polyhedral domains.
C Bacuta, AL Mazzucato, V Nistor, L Zikatanov
Documenta Mathematica 15, 687-745, 2010
592010
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
592007
Uniformly convergent iterative methods for discontinuous Galerkin discretizations
B Ayuso de Dios, L Zikatanov
Journal of Scientific Computing 40 (1), 4-36, 2009
582009
Mathematical models for the deformation of electrolyte droplets
R Ryham, C Liu, L Zikatanov
Discrete & Continuous Dynamical Systems-B 8 (3), 649, 2007
582007
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