Ludmil Zikatanov
Professor of Mathematics

0109B McAllister
University Park, PA  ltz1@psu.edu
 8148657527
Huck Affiliations
Publication Tags
Discretization Consolidation Model Finite Element Method Finite Element Linear Systems Experiments Multigrid Method Poroelasticity Thermodynamics Coefficient Energy Approximation Damage Heat Preconditioner Invasive Species Projection Finite Element Discretization Stabilization Grid Numerical Results Framework Subspace CycleMost Recent Papers
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. 73107
Energetic stable discretization for nonisothermal electrokinetics model
Simo Wu, Chun Liu, Ludmil Zikatanov, 2021, Journal of Computational Physics
Residualbased a posteriori error estimates of mixed methods for a threefield Biot’s consolidation model
Y Li, Ludmil Zikatanov, 2020, IMA Journal of Numerical Analysis
Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation
Juan Batista, Xiaozhe Hu, Ludmil Zikatanov, 2020, Comput. Math. Appl. on p. 405416
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. B761B791
A posteriori error estimates of finite element methods by preconditioning
Yuwen Li, Ludmil Zikatanov, 2020, Computers and Mathematics with Applications
Optimal spatialdynamic management to minimize the damages caused by aquatic invasive species
Katherine Y. Zipp, Yangqingxiang Wu, Kaiyi Wu, Ludmil T. Zikatanov, 2019, Letters in Spatial and Resource Sciences on p. 199213
Randomized and faulttolerant method of subspace corrections
Xiaozhe Hu, Jinchao Xu, Ludmil T. Zikatanov, 2019, Research in Mathematical Sciences
An adaptive multigrid method based on path cover
Xiaozhe Hu, Junyuan Lin, Ludmil T. Zikatanov, 2019, SIAM Journal of Scientific Computing on p. S220S241
MostCited 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. 183204
Algebraic multigrid methods
Jinchao Xu, Ludmil Zikatanov, 2017, Acta Numerica on p. 591721
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. 143154
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. 467484
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids
Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov, 2012, SIAM Journal on Numerical Analysis on p. 16751694
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. 1931
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. 2349
Robust block preconditioners for biot’s model
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu, Carmen Rodrigo, Ludmil T. Zikatanov, 2018, on p. 316
Weak approximation properties of elliptic projections with functional constraints
Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov, 2011, Multiscale Modeling and Simulation on p. 16771699
Polynomial of best uniform approximation to 1/x and smoothing in twolevel methods
Johannes Kraus, Panayot Vassilevski, Ludmil Zikatanov, 2012, Computational Methods in Applied Mathematics on p. 448468