János Karátson

39 papers Journal 33Unranked 6

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Superlinear convergence rates of Newton-Krylov methods for nonlinear elliptic systems with integrable sources. Numerische Mathematik Sebastian-Josue Castillo, János Karátson
2025	J	`jnl`	Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity. Comput. Math. Appl. János Karátson, Stanislav Sysala, Michal Béres
2025	J	`jnl`	Superlinear Krylov convergence under streamline diffusion FEM for convection-dominated elliptic operators. Numer. Linear Algebra Appl. János Karátson
2024	J	`jnl`	Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D. Numer. Linear Algebra Appl. János Karátson, Stanislav Sysala, Michal Béres
2024	J	`jnl`	Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems. Numer. Algorithms Sebastian-Josue Castillo, János Karátson
2023	J	`jnl`	Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners. SIAM J. Numer. Anal. Owe Axelsson, János Karátson, Frédéric Magoulès
2022	J	`jnl`	Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity. Comput. Methods Appl. Math. Benjámin Borsos, János Karátson
2022	J	`jnl`	Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity. Comput. Methods Appl. Math. Benjámin Borsos, János Karátson
2022	J	`jnl`	Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation. J. Comput. Phys. János Karátson
2021	J	`jnl`	Krylov improvements of the Uzawa method for Stokes type operator matrices. Numerische Mathematik Owe Axelsson, János Karátson
2020	J	`jnl`	Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. J. Comput. Appl. Math. János Karátson
2020	J	`jnl`	Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. Numerische Mathematik Owe Axelsson, János Karátson
2019	J	`jnl`	Qualitative properties of discrete nonlinear parabolic operators. Numerische Mathematik Róbert Horváth, István Faragó, János Karátson
2019	J	`jnl`	Variable preconditioning for strongly nonlinear elliptic problems. J. Comput. Appl. Math. Benjámin Borsos, János Karátson
2018	J	`jnl`	Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. J. Comput. Appl. Math. Owe Axelsson, János Karátson, Frédéric Magoulès
2017	J	`jnl`	Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Math. Comput. Simul. István Faragó, János Karátson, Sergey Korotov
2017	J	`jnl`	Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. J. Comput. Appl. Math. Owe Axelsson, János Karátson
2015	J	`jnl`	Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. J. Comput. Appl. Math. Owe Axelsson, Radim Blaheta, Petr Byczanski, János Karátson, Bashir Ahmad
2015	J	`jnl`	Some discrete maximum principles arising for nonlinear elliptic finite element problems. Comput. Math. Appl. János Karátson, Sergey Korotov
2014	J	`jnl`	Reaching the superlinear convergence phase of the CG method. J. Comput. Appl. Math. Owe Axelsson, János Karátson
2014	J	`jnl`	Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality. SIAM J. Numer. Anal. Owe Axelsson, János Karátson, Balázs Kovács
2013	J	`jnl`	Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Comput. Math. Appl. János Karátson, Balázs Kovács
2012	J	`jnl`	Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems. SIAM J. Math. Anal. János Karátson
2009	—	`conf`	A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions. LSSC János Karátson
2009	J	`jnl`	An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems. SIAM J. Numer. Anal. János Karátson, Sergey Korotov
2009	J	`jnl`	Equivalent operator preconditioning for elliptic problems. Numer. Algorithms Owe Axelsson, János Karátson
2008	J	`jnl`	A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Comput. Math. Appl. István Antal, János Karátson
2008	—	`conf`	On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations. NAA János Karátson, Tamás Kurics
2007	—	`conf`	Mesh Independent Convergence Rates Via Differential Operator Pairs. LSSC Owe Axelsson, János Karátson
2007	J	`jnl`	Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. SIAM J. Numer. Anal. Owe Axelsson, János Karátson
2007	J	`jnl`	On discrete maximum principles for nonlinear elliptic problems. Math. Comput. Simul. János Karátson, Sergey Korotov, Michal Krízek
2006	—	`conf`	A Parallel Algorithm for Systems of Convection-Diffusion Equations. Numerical Methods and Applications János Karátson, Tamás Kurics, Ivan Lirkov
2005	J	`jnl`	Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Numerische Mathematik János Karátson, Sergey Korotov
2004	J	`jnl`	Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Math. Comput. Simul. Owe Axelsson, János Karátson
2004	J	`jnl`	Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Numerische Mathematik Owe Axelsson, János Karátson
2003	J	`jnl`	Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. SIAM J. Numer. Anal. János Karátson, István Faragó
2002	J	`jnl`	Sobolev space preconditioning for Newton's method using domain decomposition. Numer. Linear Algebra Appl. Owe Axelsson, István Faragó, János Karátson
2001	—	`conf`	Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems. LSSC János Karátson, István Faragó
2000	—	`conf`	Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems. NAA János Karátson