Ludmil Zikatanov

Professor of Mathematics

0109B McAllister
University Park, PA
ltz1@psu.edu
814-865-7527

Bio & Links
Publications

Huck Affiliations

Center for Biorenewables

Publication Tags

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Consolidation Discretization Finite Element Method Preconditioner Model Linear Systems Finite Element Discontinuous Galerkin Viscosity Factorization Incompressible Flow Galerkin Methods Formulation Poroelasticity Thermodynamics Convection Experiments Preconditioning Simulation Energy Framework Oscillation Heat Linear Elasticity Elasticity

Most Recent Publications

Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations

Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone, Ludmil Zikatanov, 2023, Computers and Mathematics with Applications on p. 290-305

Rational Approximation Preconditioners for Multiphysics Problems

Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent André Mardal, Ludmil Zikatanov, 2023, on p. 100-113

Parameter-robust preconditioners for Biot’s model

Carmen Rodrigo, Francisco J. Gaspar, James Adler, Xiaozhe Hu, Peter Ohm, Ludmil Zikatanov, 2023, SeMA Journal

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 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 on Numerical Analysis on p. 52-75

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

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 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