Ludmil T. Zikatanov

86 papers C 1Journal 75Unranked 6

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Oscillation-Free Numerical Schemes for Biot's Model and Their Iterative Coupling Solution. SIAM J. Sci. Comput. Álvaro Pé de la Riva, Francisco José Gaspar, Xiaozhe Hu, James H. Adler, Carmen Rodrigo, Ludmil T. Zikatanov
2025	J	`jnl`	Reduced Krylov Basis Methods for Parametric Partial Differential Equations. SIAM J. Numer. Anal. Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
2024	J	`jnl`	A Reduced Conjugate Gradient Basis Method for Fractional Diffusion. SIAM J. Sci. Comput. Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
2024	J	`jnl`	A local Fourier analysis for additive Schwarz smoothers. Comput. Math. Appl. Álvaro Pé de la Riva, Carmen Rodrigo, Francisco José Gaspar, James H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
2024	J	`jnl`	Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. SIAM J. Sci. Comput. Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2024	J	`jnl`	Oscillation-free numerical schemes for Biot's model and their iterative coupling solution. CoRR Álvaro Pé de la Riva, Francisco José Gaspar, Xiaozhe Hu, James H. Adler, Carmen Rodrigo, Ludmil T. Zikatanov
2024	J	`jnl`	Parameter-free preconditioning for nearly-incompressible linear elasticity. Comput. Math. Appl. James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov
2024	J	`jnl`	Reduced Krylov Basis Methods for Parametric Partial Differential Equations. CoRR Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
2024	C	`conf`	Weakly Coupled Systems of Eikonal Equations in Path-Planning Problems. ACC Maria Teresa Chiri, Kenneth D. Czuprynski, Ludmil T. Zikatanov
2023	J	`jnl`	A Local Fourier Analysis for Additive Schwarz Smoothers. CoRR Álvaro Pé de la Riva, Carmen Rodrigo, Francisco José Gaspar, James H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
2023	J	`jnl`	A reduced conjugate gradient basis method for fractional diffusion. CoRR Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
2023	J	`jnl`	Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations. Comput. Math. Appl. Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone, Ludmil T. Zikatanov
2023	J	`jnl`	HAZniCS - Software Components for Multiphysics Problems. ACM Trans. Math. Softw. Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2023	J	`jnl`	Parameter-free preconditioning for nearly-incompressible linear elasticity. CoRR James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov
2022	J	`jnl`	HAZniCS - Software Components for Multiphysics Problems. CoRR Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2022	J	`jnl`	Locking-Free Enriched Galerkin Method for Linear Elasticity. SIAM J. Numer. Anal. Son-Young Yi, Sanghyun Lee, Ludmil T. Zikatanov
2022	—	`conf`	Rational Approximation Preconditioners for Multiphysics Problems. NMA Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2022	J	`jnl`	Rational approximation preconditioners for multiphysics problems. CoRR Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2021	J	`jnl`	A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations. SIAM J. Sci. Comput. James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Ludmil T. Zikatanov
2021	J	`jnl`	A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians. SIAM J. Sci. Comput. Xiaozhe Hu, Kaiyi Wu, Ludmil T. Zikatanov
2021	J	`jnl`	A posteriori error estimates of finite element methods by preconditioning. Comput. Math. Appl. Yuwen Li, Ludmil T. Zikatanov
2021	J	`jnl`	An Enriched Galerkin Method for the Stokes Equations. CoRR Son-Young Yi, Xiaozhe Hu, Sanghyun Lee, James H. Adler, Ludmil T. Zikatanov
2021	J	`jnl`	Energetic stable discretization for non-isothermal electrokinetics model. J. Comput. Phys. Simo Wu, Chun Liu, Ludmil T. Zikatanov
2021	J	`jnl`	Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. J. Comput. Appl. Math. Chunmei Wang, Ludmil T. Zikatanov
2021	J	`jnl`	Neural networks with trainable matrix activation functions. CoRR Yuwen Li, Zhengqi Liu, Ludmil T. Zikatanov
2021	J	`jnl`	New stabilized P CoRR Yuwen Li, Ludmil T. Zikatanov
2020	J	`jnl`	A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians. CoRR Xiaozhe Hu, Kaiyi Wu, Ludmil T. Zikatanov
2020	J	`jnl`	A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations. CoRR James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Ludmil T. Zikatanov
2020	J	`jnl`	A posteriori error estimates of finite element methods by preconditioning. CoRR Yuwen Li, Ludmil T. Zikatanov
2020	J	`jnl`	Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation. Comput. Math. Appl. Juan Batista, Xiaozhe Hu, Ludmil T. Zikatanov
2020	J	`jnl`	Fast auxiliary space preconditioners on surfaces. CoRR Yuwen Li, Ludmil T. Zikatanov
2020	J	`jnl`	Nodal auxiliary a posteriori error estimates. CoRR Yuwen Li, Ludmil T. Zikatanov
2020	J	`jnl`	On the unisolvence for the quasi-polynomial spaces of differential forms. CoRR Shuonan Wu, Ludmil T. Zikatanov
2020	J	`jnl`	Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations. SIAM J. Sci. Comput. J. H. Adler, Francisco José Gaspar, Xiaozhe Hu, Peter Ohm, Carmen Rodrigo, Ludmil T. Zikatanov
2019	J	`jnl`	An Adaptive Multigrid Method Based on Path Cover. SIAM J. Sci. Comput. Xiaozhe Hu, Junyuan Lin, Ludmil T. Zikatanov
2019	J	`jnl`	Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model. CoRR Yuwen Li, Ludmil T. Zikatanov
2018	J	`jnl`	Adaptive aggregation on graphs. J. Comput. Appl. Math. Wenfang Xu, Ludmil T. Zikatanov
2018	—	`conf`	New Stabilized Discretizations for Poroelasticity Equations. NMA Francisco José Gaspar, Carmen Rodrigo, Xiaozhe Hu, Peter Ohm, James H. Adler, Ludmil T. Zikatanov
2017	J	`jnl`	A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems. J. Sci. Comput. Paola F. Antonietti, Marco Sarti, Marco Verani, Ludmil T. Zikatanov
2017	J	`jnl`	A nonconforming finite element method for the Biot's consolidation model in poroelasticity. J. Comput. Appl. Math. Xiaozhe Hu, Carmen Rodrigo, Francisco José Gaspar, Ludmil T. Zikatanov
2017	J	`jnl`	Algebraic multigrid methods. Acta Numer. Jinchao Xu, Ludmil T. Zikatanov
2017	J	`jnl`	Arbitrary dimension convection-diffusion schemes for space-time discretizations. J. Comput. Appl. Math. Randolph E. Bank, Panayot S. Vassilevski, Ludmil T. Zikatanov
2017	—	`conf`	Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. LSSC James H. Adler, Ilya Lashuk, Scott P. MacLachlan, Ludmil T. Zikatanov
2017	—	`conf`	Fourier Method for Approximating Eigenvalues of Indefinite Stekloff Operator. HPCSE Yangqingxiang Wu, Ludmil T. Zikatanov
2017	J	`jnl`	Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. SIAM J. Sci. Comput. J. H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
2016	J	`jnl`	A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik Qingguo Hong, Johannes Kraus, Jinchao Xu, Ludmil T. Zikatanov
2016	J	`jnl`	Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. SIAM J. Sci. Comput. Johannes K. Kraus, Raytcho D. Lazarov, Maria Lymbery, Svetozar Margenov, Ludmil T. Zikatanov
2015	J	`jnl`	A finite element framework for some mimetic finite difference discretizations. Comput. Math. Appl. Carmen Rodrigo, Francisco José Gaspar, Xiaozhe Hu, Ludmil T. Zikatanov
2015	J	`jnl`	A two-level method for mimetic finite difference discretizations of elliptic problems. Comput. Math. Appl. Paola F. Antonietti, Marco Verani, Ludmil T. Zikatanov
2015	—	`conf`	Fast Constrained Image Segmentation Using Optimal Spanning Trees. LSSC Stanislav Harizanov, Svetozar Margenov, Ludmil T. Zikatanov
2014	J	`jnl`	A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem. J. Sci. Comput. Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini, Jinchao Xu, Ludmil T. Zikatanov
2014	J	`jnl`	Commuting projections on graphs. Numer. Linear Algebra Appl. Panayot S. Vassilevski, Ludmil T. Zikatanov
2014	J	`jnl`	Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients. Math. Comput. Blanca Ayuso de Dios, Michael J. Holst, Yunrong Zhu, Ludmil T. Zikatanov
2013	—	`ch.`	A Block Solver for the Exponentially Fitted IIPG-0 Method. Domain Decomposition Methods in Science and Engineering XX Blanca Ayuso de Dios, Ariel L. Lombardi, Paola Pietra, Ludmil T. Zikatanov
2013	—	`ch.`	A Subspace Correction Method for Nearly Singular Linear Elasticity Problems. Domain Decomposition Methods in Science and Engineering XX Erwin Karer, Johannes K. Kraus, Ludmil T. Zikatanov
2013	J	`jnl`	Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs. SIAM J. Numer. Anal. James J. Brannick, Yao Chen, Johannes Kraus, Ludmil T. Zikatanov
2013	—	`ch.`	An Algebraic Multigrid Method Based on Matching in Graphs. Domain Decomposition Methods in Science and Engineering XX James J. Brannick, Yao Chen, Johannes Kraus, Ludmil T. Zikatanov
2013	J	`jnl`	Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. Numer. Linear Algebra Appl. Guozhu Yu, Jinchao Xu, Ludmil T. Zikatanov
2013	J	`jnl`	Combined Preconditioning with Applications in Reservoir Simulation. Multiscale Model. Simul. Xiaozhe Hu, Shuhong Wu, Xiao-Hui Wu, Jinchao Xu, Chen-Song Zhang, Shiquan Zhang, Ludmil T. Zikatanov
2013	—	`ch.`	Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients. Domain Decomposition Methods in Science and Engineering XX Blanca Ayuso de Dios, Michael J. Holst, Yunrong Zhu, Ludmil T. Zikatanov
2013	J	`jnl`	Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations. SIAM J. Sci. Comput. J. H. Adler, V. Petkov, Ludmil T. Zikatanov
2012	J	`jnl`	An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching. Numer. Linear Algebra Appl. James J. Brannick, Yao Chen, Ludmil T. Zikatanov
2012	J	`jnl`	Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids. SIAM J. Numer. Anal. Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov
2012	J	`jnl`	Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses. Math. Comput. Simul. Petia T. Boyanova, Ivan Georgiev, Svetozar Margenov, Ludmil T. Zikatanov
2012	J	`jnl`	Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods. Comput. Methods Appl. Math. Johannes Kraus, Panayot S. Vassilevski, Ludmil T. Zikatanov
2011	J	`jnl`	First-order system least squares and the energetic variational approach for two-phase flow. J. Comput. Phys. J. H. Adler, James J. Brannick, Chun Liu, Thomas A. Manteuffel, Ludmil T. Zikatanov
2011	J	`jnl`	Weak Approximation Properties of Elliptic Projections with Functional Constraints. Multiscale Model. Simul. Robert Scheichl, Panayot S. Vassilevski, Ludmil T. Zikatanov
2010	—	`conf`	A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations. NMA Blanca Ayuso de Dios, Ivan Georgiev, Johannes Kraus, Ludmil T. Zikatanov
2009	J	`jnl`	Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations. J. Sci. Comput. Blanca Ayuso de Dios, Ludmil T. Zikatanov
2008	J	`jnl`	A sharp convergence estimate for the method of subspace corrections for singular systems of equations. Math. Comput. Young-Ju Lee, Jinbiao Wu, Jinchao Xu, Ludmil T. Zikatanov
2008	J	`jnl`	Advanced multigrid methods for systems of PDEs. Numer. Linear Algebra Appl. Panayot S. Vassilevski, Ludmil T. Zikatanov
2008	J	`jnl`	Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials. SIAM J. Sci. Comput. Shi Shu, Ivo Babuska, Yingxiong Xiao, Jinchao Xu, Ludmil T. Zikatanov
2008	J	`jnl`	Two-sided bounds on the convergence rate of two-level methods. Numer. Linear Algebra Appl. Ludmil T. Zikatanov
2008	J	`jnl`	Uniform convergence of the multigrid Numer. Linear Algebra Appl. James J. Brannick, Hengguang Li, Ludmil T. Zikatanov
2007	J	`jnl`	A multilevel preconditioning for generalized finite element method problems on unstructured simplicial meshes. J. Num. Math. Durkbin Cho, Ludmil T. Zikatanov
2006	J	`jnl`	Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid. SIAM J. Matrix Anal. Appl. Panayot S. Vassilevski, Ludmil T. Zikatanov
2006	J	`jnl`	On the Convergence of Iterative Methods for Semidefinite Linear Systems. SIAM J. Matrix Anal. Appl. Young-Ju Lee, Jinbiao Wu, Jinchao Xu, Ludmil T. Zikatanov
2006	J	`jnl`	Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Numer. Linear Algebra Appl. Veselin Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, Ludmil T. Zikatanov
2005	J	`jnl`	Improving the rate of convergence of 'high order finite elements' on polygons and domains with cusps. Numerische Mathematik Constantin Bacuta, Victor Nistor, Ludmil T. Zikatanov
2005	J	`jnl`	On two-grid convergence estimates. Numer. Linear Algebra Appl. Robert D. Falgout, Panayot S. Vassilevski, Ludmil T. Zikatanov
2005	J	`jnl`	Partition of unity method on nonmatching grids for the Stokes problem. J. Num. Math. Constantin Bacuta, Jinru Chen, Yunqing Huang, Jinchao Xu, Ludmil T. Zikatanov
2004	J	`jnl`	Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids. Adv. Comput. Math. Hwanho Kim, Jinchao Xu, Ludmil T. Zikatanov
2003	J	`jnl`	A multigrid method based on graph matching for convection-diffusion equations. Numer. Linear Algebra Appl. Hwanho Kim, Jinchao Xu, Ludmil T. Zikatanov
2003	J	`jnl`	Some observations on Babu\vs}ka and Brezzi theories. Numerische Mathematik Jinchao Xu, Ludmil T. Zikatanov
1999	J	`jnl`	A monotone finite element scheme for convection-diffusion equations. Math. Comput. Jinchao Xu, Ludmil T. Zikatanov
1997	J	`jnl`	Circulant Block-Factorization Preconditioning of Anisotropic Elliptic Problems. Computing Ivan Lirkov, Svetozar Margenov, Ludmil T. Zikatanov