Ludmil Zikatanov
Professor of Mathematics
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0109B McAllister
University Park, PA - ltz1@psu.edu
- 814-865-7527
Huck Affiliations
Publication Tags
Discretization Finite Element Method Consolidation Model Finite Element Preconditioner Experiments Viscosity Preconditioning Factorization Incompressible Flow Linear Systems Thermodynamics Poroelasticity Convection Framework Simulation Coefficient Discontinuous Galerkin Iterative Methods Elliptic Problems Inviscid Flow Heat Formulation Finite Element DiscretizationMost Recent Papers
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
Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model
Y Li, Ludmil Zikatanov, 2021, IMA Journal of Numerical Analysis
Locking-Free Enriched Galerkin Method for Linear Elasticity
Son-Young Yi, Sanghyun Lee, Ludmil Zikatanov, 2021, SIAM Journal Numerical Analysis on p. 30
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
Robust preconditioners for a new stabilized discretization of the poroelastic equations
J. H. Adler, F. J. Gaspar, X. Hu, P. Ohm, C. Rodrigo, L. T. Zikatanov, 2020, SIAM Journal of Scientific Computing on p. B761-B791
A posteriori error estimates of finite element methods by preconditioning
Yuwen Li, Ludmil Zikatanov, 2020, Computers and Mathematics with Applications
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
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
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids
Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov, 2012, SIAM Journal on Numerical Analysis on p. 1675-1694
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 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
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
Polynomial of best uniform approximation to 1/x and smoothing in two-level methods
Johannes Kraus, Panayot Vassilevski, Ludmil Zikatanov, 2012, Computational Methods in Applied Mathematics on p. 448-468
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