Ludmil Zikatanov

Professor of Mathematics

Ludmil Zikatanov

Huck Affiliations

Most Recent Publications

REDUCED KRYLOV BASIS METHODS FOR PARAMETRIC PARTIAL DIFFERENTIAL EQUATIONS

Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo, 2025, SIAM Journal on Numerical Analysis on p. 976-999

OSCILLATION-FREE NUMERICAL SCHEMES FOR BIOT'S MODEL AND THEIR ITERATIVE COUPLING SOLUTION

Álvaro Pé De La Riva, Francisco J. Gaspar, Xiaozhe Hu, James H. Adler, Carmen Rodrigo, Ludmil T. Zikatanov, 2025, SIAM Journal of Scientific Computing on p. A1809-A1834

ALGEBRAIC MULTIGRID METHODS FOR METRIC-PERTURBED COUPLED PROBLEMS

Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent Andre Mardal, Ludmil Zikatanov, 2024, SIAM Journal of Scientific Computing on p. A1461-A1486

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

Weakly Coupled Systems of Eikonal Equations in Path-Planning Problems

Maria Teresa Chiri, Kenneth D. Czuprynski, Ludmil T. Zikatanov, 2024, on p. 5036-5041

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

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

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

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 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