Ludmil Zikatanov

Human brain MRI data of intrathecally injected tracer evolution over 72 hours for data-integrated simulations
Jørgen N. Riseth, Timo Koch, Sofie Lysholm Lian, Tryggve Holck Storås, Ludmil T. Zikatanov, Lars Magnus Valnes, Kaja Nordengen, Kent André Mardal, Dec 2026, In: Scientific Data
Date: Dec 2026

On the Unisolvence for the Quasi-Polynomial Spaces of Differential Forms
Shuonan Wu, Ludmil T. Zikatanov, 2026, In: Computational Methods in Applied Mathematics
Date: 2026

REDUCED KRYLOV BASIS METHODS FOR PARAMETRIC PARTIAL DIFFERENTIAL EQUATIONS
Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo, 2025, In: SIAM Journal on Numerical Analysis
Date: 2025

NEURAL NETWORKS WITH TRAINABLE MATRIX ACTIVATION FUNCTIONS
Zhengqi Liu, Shuhao Cao, Yuwen Li, Ludmil Zikatanov, 2025, In: Journal of Machine Learning for Modeling and Computing
Date: 2025

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, In: SIAM Journal on Scientific Computing
Date: 2025

ALGEBRAIC MULTIGRID METHODS FOR METRIC-PERTURBED COUPLED PROBLEMS
Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent Andre Mardal, Ludmil Zikatanov, Jun 2024, In: SIAM Journal on Scientific Computing
Date: Jun 2024

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, Mar 15 2024, In: Computers and Mathematics with Applications
Date: Mar 15 2024

Parameter-free preconditioning for nearly-incompressible linear elasticity
James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov, Jan 15 2024, In: Computers and Mathematics with Applications
Date: Jan 15 2024

Weakly Coupled Systems of Eikonal Equations in Path-Planning Problems
Maria Teresa Chiri, Kenneth D. Czuprynski, Ludmil T. Zikatanov, 2024, In: 2024 American Control Conference, ACC 2024
Date: 2024

HAZniCS - Software Components for Multiphysics Problems
Ana Budiša, Xiaozhe Hu, Miroslav Kuchta, Kent André Mardal, Ludmil T. Zikatanov, Dec 15 2023, In: ACM Transactions on Mathematical Software
Date: Dec 15 2023

A monotone finite element scheme for convection-diffusion equations
Jinchao Xu, Ludmil Zikatanov, Oct 1999, In: Mathematics of Computation
Citations: 221

Algebraic multigrid methods
Jinchao Xu, Ludmil Zikatanov, May 1 2017, In: Acta Numerica
Citations: 215

The method of alternating projections and the method of subspace corrections in Hilbert space
Jinchao Xu, Ludmil Zikatanov, 2002, In: Journal of the American Mathematical Society
Citations: 199

Some observations on Babuška and Brezzi theories
Jinchao Xu, Ludmil Zikatanov, Mar 2003, In: Numerische Mathematik
Citations: 161

Stability and monotonicity for some discretizations of the Biot's consolidation model
C. Rodrigo, F. J. Gaspar, X. Hu, L. T. Zikatanov, Jan 1 2016, In: Computer Methods in Applied Mechanics and Engineering
Citations: 115

On two-grid convergence estimates
Robert D. Falgout, Panayot S. Vassilevski, Ludmil T. Zikatanov, Jun 2005, In: Numerical Linear Algebra with Applications
Citations: 85

A nonconforming finite element method for the Biot's consolidation model in poroelasticity
Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar, Ludmil T. Zikatanov, Jan 15 2017, In: Journal of Computational and Applied Mathematics
Citations: 77

On an energy minimizing basis for algebraic multigrid methods
Jinchao Xu, Ludmil Zikatanov, Oct 2004, In: Computing and Visualization in Science
Citations: 74

New stabilized discretizations for poroelasticity and the Stokes’ equations
C. Rodrigo, X. Hu, P. Ohm, J. H. Adler, F. J. Gaspar, L. T. Zikatanov, Nov 1 2018, In: Computer Methods in Applied Mechanics and Engineering
Citations: 73

Improving the rate of convergence of 'high order finite elements' on polygons and domains with cusps
Constantin Bǎcuţǎ, Victor Nistor, Ludmil T. Zikatanov, Apr 2005, In: Numerische Mathematik
Citations: 73

Centers & Institutes

• Center for Biorenewables

• Elsevier Pure Profile