János Karátson

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 14

Top Topics

Superlinear Convergence

Top Venues

J. Comput. Appl. Math.

Numerische Mathematik

SIAM J. Numer. Anal.

Comput. Methods Appl. Math.

Publications

Sebastian-Josue Castillo, János Karátson
Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems. Numer. Algorithms 96 (2) (2024)
János Karátson, Stanislav Sysala, Michal Béres
Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D. Numer. Linear Algebra Appl. 31 (3) (2024)
Owe Axelsson, János Karátson, Frédéric Magoulès
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners. SIAM J. Numer. Anal. 61 (2) (2023)
Benjámin Borsos, János Karátson
Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity. Comput. Methods Appl. Math. 22 (2) (2022)
Benjámin Borsos, János Karátson
Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity. Comput. Methods Appl. Math. 22 (1) (2022)
János Karátson
Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation. J. Comput. Phys. 463 (2022)
Owe Axelsson, János Karátson
Krylov improvements of the Uzawa method for Stokes type operator matrices. Numerische Mathematik 148 (3) (2021)
János Karátson
Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. J. Comput. Appl. Math. 363 (2020)
Owe Axelsson, János Karátson
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. Numerische Mathematik 146 (2) (2020)
B. Borsos, János Karátson
Variable preconditioning for strongly nonlinear elliptic problems. J. Comput. Appl. Math. 350 (2019)
Róbert Horváth, István Faragó, János Karátson
Qualitative properties of discrete nonlinear parabolic operators. Numerische Mathematik 143 (3) (2019)
Owe Axelsson, János Karátson, Frédéric Magoulès
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. J. Comput. Appl. Math. 340 (2018)
Owe Axelsson, János Karátson
Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. J. Comput. Appl. Math. 310 (2017)
István Faragó, János Karátson, Sergey Korotov
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Math. Comput. Simul. 139 (2017)
János Karátson, Sergey Korotov
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Comput. Math. Appl. 70 (11) (2015)
Owe Axelsson, Radim Blaheta, Petr Byczanski, János Karátson, Bashir Ahmad
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. J. Comput. Appl. Math. 280 (2015)
Owe Axelsson, János Karátson, Balázs Kovács
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality. SIAM J. Numer. Anal. 52 (6) (2014)
Owe Axelsson, János Karátson
Reaching the superlinear convergence phase of the CG method. J. Comput. Appl. Math. 260 (2014)
János Karátson, Balázs Kovács
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Comput. Math. Appl. 65 (3) (2013)
János Karátson
Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems. SIAM J. Math. Anal. 44 (3) (2012)
János Karátson, Sergey Korotov
An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems. SIAM J. Numer. Anal. 47 (4) (2009)
János Karátson
A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions. LSSC (2009)
Owe Axelsson, János Karátson
Equivalent operator preconditioning for elliptic problems. Numer. Algorithms 50 (3) (2009)
János Karátson, Tamás Kurics
On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations. NAA (2008)
István Antal, János Karátson
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Comput. Math. Appl. 55 (10) (2008)
János Karátson, Sergey Korotov, Michal Krízek
On discrete maximum principles for nonlinear elliptic problems. Math. Comput. Simul. 76 (1-3) (2007)
Owe Axelsson, János Karátson
Mesh Independent Convergence Rates Via Differential Operator Pairs. LSSC (2007)
Owe Axelsson, János Karátson
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. SIAM J. Numer. Anal. 45 (4) (2007)
János Karátson, Tamás Kurics, Ivan Lirkov
A Parallel Algorithm for Systems of Convection-Diffusion Equations. Numerical Methods and Applications (2006)
János Karátson, Sergey Korotov
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Numerische Mathematik 99 (4) (2005)
Owe Axelsson, János Karátson
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Numerische Mathematik 99 (2) (2004)
Owe Axelsson, János Karátson
Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Math. Comput. Simul. 64 (6) (2004)
János Karátson, István Faragó
Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. SIAM J. Numer. Anal. 41 (4) (2003)
Owe Axelsson, István Faragó, János Karátson
Sobolev space preconditioning for Newton's method using domain decomposition. Numer. Linear Algebra Appl. 9 (6-7) (2002)
János Karátson, István Faragó
Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems. LSSC (2001)
János Karátson
Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems. NAA (2000)