Ludmil Zikatanov
Professor of Mathematics
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0109B McAllister
University Park, PA - ltz1@psu.edu
- 814-865-7527
Huck Affiliations
Publication Tags
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Consolidation Finite Element Method Preconditioner Discretization Model Finite Element Discontinuous Galerkin Viscosity Incompressible Flow Galerkin Methods Linear Systems Poroelasticity Convection Formulation Oscillation Linear Elasticity Elasticity Galerkin Approximation Inviscid Flow Approximation Stokes Problem Numerical Results Design Stabilization MeshMost Recent Publications
A local Fourier analysis for additive Schwarz smoothers
Álvaro Pé de la Riva, Carmen Rodrigo, Francisco J. Gaspar, James H. Adler, Xiaozhe Hu, Ludmil Zikatanov, 2024, Computers and Mathematics with Applications on p. 13-20
Parameter-robust preconditioners for Biot’s model
Carmen Rodrigo, Francisco J. Gaspar, James Adler, Xiaozhe Hu, Peter Ohm, Ludmil Zikatanov, 2024, SeMA Journal on p. 51-80
Parameter-free preconditioning for nearly-incompressible linear elasticity
James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov, 2024, Computers and Mathematics with Applications on p. 39-44
HAZniCS - Software Components for Multiphysics Problems
Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent André Mardal, Ludmil T. Zikatanov, 2023, ACM Transactions on Mathematical Software
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
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
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
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
A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians
John C. Urschel, Jinchao Xu, Xiaozhe Hu, Ludmil T. Zikatanov, 2015, Journal of Computational Mathematics on p. 209-226
Preconditioning heterogeneous h(div) problems by additive schur complement approximation and applications
Johannes Kraus, Raytcho Lazarov, Maria Lymbery, Svetozar Margenov, Ludmil Zikatanov, 2016, SIAM Journal of Scientific Computing on p. A875-A898