Ludmil T. Zikatanov
Orcid: 0000-0002-5189-4230Affiliations:
- Penn State, University Park, USA
According to our database1,
Ludmil T. Zikatanov
authored at least 73 papers
between 1997 and 2024.
Collaborative distances:
Collaborative distances:
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Online presence:
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on zbmath.org
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on orcid.org
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on mathnet.ru
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on math.psu.edu
On csauthors.net:
Bibliography
2024
Comput. Math. Appl., January, 2024
2023
ACM Trans. Math. Softw., December, 2023
Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations.
Comput. Math. Appl., August, 2023
2022
SIAM J. Numer. Anal., 2022
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022
2021
SIAM J. Sci. Comput., 2021
A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations.
SIAM J. Sci. Comput., 2021
J. Comput. Phys., 2021
Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations.
J. Comput. Appl. Math., 2021
New stabilized P<sub>1</sub>×P<sub>0</sub> finite element methods for nearly inviscid and incompressible flows.
CoRR, 2021
Comput. Math. Appl., 2021
2020
Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations.
SIAM J. Sci. Comput., 2020
Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation.
Comput. Math. Appl., 2020
2019
Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model.
CoRR, 2019
2018
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018
2017
SIAM J. Sci. Comput., 2017
A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems.
J. Sci. Comput., 2017
A nonconforming finite element method for the Biot's consolidation model in poroelasticity.
J. Comput. Appl. Math., 2017
J. Comput. Appl. Math., 2017
Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017
Proceedings of the High Performance Computing in Science and Engineering, 2017
2016
Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications.
SIAM J. Sci. Comput., 2016
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations.
Numerische Mathematik, 2016
2015
Comput. Math. Appl., 2015
A two-level method for mimetic finite difference discretizations of elliptic problems.
Comput. Math. Appl., 2015
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015
2014
Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients.
Math. Comput., 2014
J. Sci. Comput., 2014
2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations.
SIAM J. Sci. Comput., 2013
Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs.
SIAM J. Numer. Anal., 2013
Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids.
Numer. Linear Algebra Appl., 2013
Multiscale Model. Simul., 2013
2012
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids.
SIAM J. Numer. Anal., 2012
An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching.
Numer. Linear Algebra Appl., 2012
Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses.
Math. Comput. Simul., 2012
Comput. Methods Appl. Math., 2012
2011
Multiscale Model. Simul., 2011
First-order system least squares and the energetic variational approach for two-phase flow.
J. Comput. Phys., 2011
2010
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010
2009
J. Sci. Comput., 2009
2008
SIAM J. Sci. Comput., 2008
Numer. Linear Algebra Appl., 2008
Uniform convergence of the multigrid <i>V</i>-cycle on graded meshes for corner singularities.
Numer. Linear Algebra Appl., 2008
A sharp convergence estimate for the method of subspace corrections for singular systems of equations.
Math. Comput., 2008
2007
A multilevel preconditioning for generalized finite element method problems on unstructured simplicial meshes.
J. Num. Math., 2007
2006
SIAM J. Matrix Anal. Appl., 2006
SIAM J. Matrix Anal. Appl., 2006
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations.
Numer. Linear Algebra Appl., 2006
2005
Improving the rate of convergence of 'high order finite elements' on polygons and domains with cusps.
Numerische Mathematik, 2005
J. Num. Math., 2005
2004
Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids.
Adv. Comput. Math., 2004
2003
Numer. Linear Algebra Appl., 2003
1999
Math. Comput., 1999
1997
Computing, 1997