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János Karátson
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2020 – today
- 2024
- [j30]Sebastian-Josue Castillo
, János Karátson:
Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems. Numer. Algorithms 96(2): 719-738 (2024) - [j29]János Karátson
Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D. Numer. Linear Algebra Appl. 31(3) (2024) - 2023
- [j28]Owe Axelsson, János Karátson, Frédéric Magoulès
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners. SIAM J. Numer. Anal. 61(2): 1057-1079 (2023) - 2022
- [j27]Benjámin Borsos, János Karátson:
Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity. Comput. Methods Appl. Math. 22(1): 1-13 (2022) - [j26]Benjámin Borsos, János Karátson:
Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity. Comput. Methods Appl. Math. 22(2): 327-340 (2022) - [j25]János Karátson:
Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation. J. Comput. Phys. 463: 111235 (2022) - 2021
- [j24]Owe Axelsson, János Karátson:
Krylov improvements of the Uzawa method for Stokes type operator matrices. Numerische Mathematik 148(3): 611-631 (2021) - 2020
- [j23]János Karátson:
Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. J. Comput. Appl. Math. 363: 223-233 (2020) - [j22]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): 335-368 (2020)
2010 – 2019
- 2019
- [j21]Benjámin Borsos, János Karátson:
Variable preconditioning for strongly nonlinear elliptic problems. J. Comput. Appl. Math. 350: 155-164 (2019) - [j20]Róbert Horváth, István Faragó, János Karátson:
Qualitative properties of discrete nonlinear parabolic operators. Numerische Mathematik 143(3): 529-554 (2019) - 2018
- [j19]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: 424-431 (2018) - 2017
- [j18]Owe Axelsson
Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. J. Comput. Appl. Math. 310: 155-164 (2017) - [j17]István Faragó, János Karátson, Sergey Korotov:
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Math. Comput. Simul. 139: 37-53 (2017) - 2015
- [j16]János Karátson, Sergey Korotov:
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Comput. Math. Appl. 70(11): 2732-2741 (2015) - [j15]Owe Axelsson
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. J. Comput. Appl. Math. 280: 141-157 (2015) - 2014
- [j14]Owe Axelsson
Reaching the superlinear convergence phase of the CG method. J. Comput. Appl. Math. 260: 244-257 (2014) - [j13]Owe Axelsson
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality. SIAM J. Numer. Anal. 52(6): 2957-2976 (2014) - 2013
- [j12]János Karátson, Balázs Kovács
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Comput. Math. Appl. 65(3): 449-459 (2013) - 2012
- [j11]János Karátson:
Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems. SIAM J. Math. Anal. 44(3): 1279-1303 (2012)
2000 – 2009
- 2009
- [j10]Owe Axelsson
Equivalent operator preconditioning for elliptic problems. Numer. Algorithms 50(3): 297-380 (2009) - [j9]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): 2518-2549 (2009) - [c6]János Karátson:
A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions. LSSC 2009: 580-587 - 2008
- [j8]István Antal, János Karátson:
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Comput. Math. Appl. 55(10): 2185-2196 (2008) - [c5]János Karátson, Tamás Kurics:
On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations. NAA 2008: 345-352 - 2007
- [j7]János Karátson, Sergey Korotov, Michal Krízek:
On discrete maximum principles for nonlinear elliptic problems. Math. Comput. Simul. 76(1-3): 99-108 (2007) - [j6]Owe Axelsson, János Karátson:
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. SIAM J. Numer. Anal. 45(4): 1495-1516 (2007) - [c4]Owe Axelsson
Mesh Independent Convergence Rates Via Differential Operator Pairs. LSSC 2007: 3-15 - 2006
- [c3]János Karátson, Tamás Kurics, Ivan Lirkov:
A Parallel Algorithm for Systems of Convection-Diffusion Equations. Numerical Methods and Applications 2006: 65-73 - 2005
- [j5]János Karátson, Sergey Korotov:
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Numerische Mathematik 99(4): 669-698 (2005) - 2004
- [j4]Owe Axelsson
Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Math. Comput. Simul. 64(6): 649-668 (2004) - [j3]Owe Axelsson
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Numerische Mathematik 99(2): 197-223 (2004) - 2003
- [j2]János Karátson, István Faragó:
Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. SIAM J. Numer. Anal. 41(4): 1242-1262 (2003) - 2002
- [j1]Owe Axelsson, István Faragó, János Karátson:
Sobolev space preconditioning for Newton's method using domain decomposition. Numer. Linear Algebra Appl. 9(6-7): 585-598 (2002) - 2001
- [c2]János Karátson, István Faragó:
Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems. LSSC 2001: 104-112 - 2000
- [c1]János Karátson:
Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems. NAA 2000: 459-466
Coauthor Index
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