Ludmil Zikatanov
Professor of Mathematics

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0109B McAllister
University Park, PA - ltz1@psu.edu
- 814-865-7527
Huck Affiliations
Publication Tags
Consolidation Discretization Preconditioner Finite Element Method Model Linear Systems Discontinuous Galerkin Finite Element Galerkin Approximation Viscosity Incompressible Flow Factorization Galerkin Methods Formulation Poroelasticity Thermodynamics Convection Experiments Simulation Preconditioning Framework Energy Heat Iterative Methods Linear ElasticityMost Recent Publications
New stabilized P<sub>1</sub> × P<sub>0</sub> finite element methods for nearly inviscid and incompressible flows
Yuwen Li, Ludmil T. Zikatanov, 2022, Computer Methods in Applied Mechanics and Engineering
LOCKING-FREE ENRICHED GALERKIN METHOD FOR LINEAR ELASTICITY
Son Young Yi, Sanghyun Lee, Ludmil Zikatanov, 2022, SIAM Journal on Numerical Analysis on p. 52-75
Residual-based a posteriori error estimates of mixed methods for a three-field Biot's consolidation model
Yuwen Li, Ludmil T. Zikatanov, 2022, IMA Journal of Numerical Analysis on p. 620-648
Locking-Free Enriched Galerkin Method for Linear Elasticity
Son-Young Yi, Sanghyun Lee, Ludmil Zikatanov, 2021, SIAM Journal Numerical Analysis on p. 30
A posteriori error estimates for multilevel methods for graph Laplacians
Xiaozhe Hu, Kaiyi Wu, Ludmil Zikatanov, 2021, SIAM Journal on Scientific Computing on p. 25
Low regularity primal–dual weak Galerkin finite element methods for convection–diffusion equations
Chunmei Wang, Ludmil Zikatanov, 2021, Journal of Computational and Applied Mathematics
Discrete trace theorems and energy minimizing spring embeddings of planar graphs
John C. Urschel, Ludmil T. Zikatanov, 2021, Linear Algebra and Its Applications on p. 73-107
Energetic stable discretization for non-isothermal electrokinetics model
Simo Wu, Chun Liu, Ludmil Zikatanov, 2021, Journal of Computational Physics
A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Ludmil T. Zikatanov, 2021, SIAM Journal of Scientific Computing on p. A2638-A2659
Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation
Juan Batista, Xiaozhe Hu, Ludmil Zikatanov, 2020, Comput. Math. Appl. on p. 405--416
Most-Cited Papers
Stability and monotonicity for some discretizations of the Biot's consolidation model
C. Rodrigo, F. J. Gaspar, X. Hu, L. T. Zikatanov, 2016, Computer Methods in Applied Mechanics and Engineering on p. 183-204
A nonconforming finite element method for the Biot's consolidation model in poroelasticity
Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar, Ludmil T. Zikatanov, 2017, Journal of Computational and Applied Mathematics on p. 143-154
New stabilized discretizations for poroelasticity and the Stokes’ equations
C. Rodrigo, X. Hu, P. Ohm, J. H. Adler, F. J. Gaspar, L. T. Zikatanov, 2018, Computer Methods in Applied Mechanics and Engineering on p. 467-484
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
Qingguo Hong, Johannes Kraus, Jinchao Xu, Ludmil Zikatanov, 2016, Numerische Mathematik on p. 23-49
Robust block preconditioners for biot’s model
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, Ludmil T. Zikatanov, 2018, on p. 3-16
Arbitrary dimension convection–diffusion schemes for space–time discretizations
Randolph E. Bank, Panayot S. Vassilevski, Ludmil T. Zikatanov, 2017, Journal of Computational and Applied Mathematics on p. 19-31
A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem
Blanca Ayuso De Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil Zikatanov, 2014, Journal of Scientific Computing on p. 517-547
Combined preconditioning with applications in reservoir simulation
Xiaozhe Hu, Shuhong Wu, Xiao Hui Wu, Jinchao Xu, Chen Song Zhang, Shiquan Zhang, Ludmil Zikatanov, 2013, Multiscale Modeling and Simulation on p. 507-521
A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems
Paola F. Antonietti, Marco Sarti, Marco Verani, Ludmil T. Zikatanov, 2017, Journal of Scientific Computing on p. 608-630
Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
Blanca Ayuso De Dios, Michael Holst, Yunrong Zhu, Ludmil Zikatanov, 2014, Mathematics of Computation on p. 1083-1120