Ludmil Zikatanov

Professor of Mathematics

Ludmil Zikatanov

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 Elasticity

Most 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