János Karátson

发表

Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space

István Faragó, János Karátson, I. Faragó, 2003, SIAM J. Numer. Anal..

A Parallel Algorithm for Systems of Convection-Diffusion Equations

Ivan Lirkov, Tamás Kurics, János Karátson, 2006, Numerical Methods and Applications.

An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems

Sergey Korotov, János Karátson, J. Karátson, 2009, SIAM J. Numer. Anal..

Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions

Sergey Korotov, János Karátson, J. Karátson, 2005, Numerische Mathematik.

Mesh Independent Convergence Rates Via Differential Operator Pairs

Owe Axelsson, János Karátson, 2007, LSSC.

Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators

Owe Axelsson, János Karátson, O. Axelsson, 2004, Numerische Mathematik.

Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems

János Karátson, J. Karátson, 2012, SIAM J. Math. Anal..

Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators

Owe Axelsson, János Karátson, 2007, SIAM J. Numer. Anal..

Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part

Owe Axelsson, János Karátson, 2017, J. Comput. Appl. Math..

Reaching the superlinear convergence phase of the CG method

Owe Axelsson, János Karátson, 2014, J. Comput. Appl. Math..

Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems

István Faragó, János Karátson, I. Faragó, 2001, LSSC.

Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems

Owe Axelsson, Bashir Ahmad, Petr Byczanski, 2015, J. Comput. Appl. Math..

Variable preconditioning for strongly nonlinear elliptic problems

János Karátson, B. Borsos, 2019, J. Comput. Appl. Math..

On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations

Tamás Kurics, János Karátson, 2008, NAA.

Equivalent operator preconditioning for elliptic problems

Owe Axelsson, János Karátson, O. Axelsson, 2009, Numerical Algorithms.

Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities

János Karátson, 2020, J. Comput. Appl. Math..

Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality

Owe Axelsson, János Karátson, Balázs Kovács, 2014, SIAM J. Numer. Anal..

Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems

János Karátson, J. Karátson, 2000, NAA.

Sobolev space preconditioning for Newton's method using domain decomposition

Owe Axelsson, István Faragó, János Karátson, 2002, Numer. Linear Algebra Appl..

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems

Owe Axelsson, János Karátson, O. Axelsson, 2004, Math. Comput. Simul..

Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations

Owe Axelsson, Frédéric Magoulès, János Karátson, 2018, J. Comput. Appl. Math..

Equivalent operator preconditioning for linear elliptic problems

Owe Axelsson, János Karátson, O. Axelsson, 2008 .

Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling

Sergey Korotov, István Faragó, János Karátson, 2017, Math. Comput. Simul..

Qualitative properties of discrete nonlinear parabolic operators

István Faragó, János Karátson, Robert Horvath, 2019, Numerische Mathematik.

A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions

János Karátson, 2009, LSSC.

A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

István Antal, János Karátson, 2008, Comput. Math. Appl..

Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks

Owe Axelsson, János Karátson, O. Axelsson, 2020, Numerische Mathematik.

On discrete maximum principles for nonlinear elliptic problems

Sergey Korotov, Michal Krízek, János Karátson, 2007, Math. Comput. Simul..

Some discrete maximum principles arising for nonlinear elliptic finite element problems

Sergey Korotov, János Karátson, J. Karátson, 2015, Comput. Math. Appl..

Krylov improvements of the Uzawa method for Stokes type operator matrices

Owe Axelsson, János Karátson, O. Axelsson, 2021, Numerische Mathematik.

Discrete maximum principles for the FEM solution of some nonlinear parabolic problems

Sergey Korotov, János Karátson, J. Karátson, 2008 .

Discrete Maximum Principles for FEM Solutions of Nonlinear Elliptic Systems

Sergey Korotov, János Karátson, 2011 .

The gradient-finite element method for elliptic problems

István Faragó, János Karátson, I. Faragó, 2001 .

Discrete maximum principles for nonlinear parabolic PDE systems

Sergey Korotov, István Faragó, János Karátson, 2012 .

Constructive Sobolev gradient preconditioning for semilinear elliptic systems

János Karátson, J. Karátson, 2004 .

Preconditioning operators and Sobolevgradients for nonlinear elliptic problems

István Faragó, János Karátson, I. Faragó, 2005 .

Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems

Tamás Kurics, János Karátson, J. Karátson, 2008 .

A Preconditioned Iterative Solution Scheme for Nonlinear Parabolic Systems Arising in Air Pollution Modeling

Tamás Kurics, János Karátson, 2013 .

Sobolev gradient type preconditioning for the saint-venant model of elasto-plastic torsion

István Faragó, János Karátson, 2008 .

On the Superlinear Convergence Rate of the Preconditioned CGM for Some Nonsymmetric Elliptic Problems

János Karátson, 2007 .

Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems

Owe Axelsson, János Karátson, O. Axelsson, 2018 .

Sobolev gradient preconditioning for the electrostatic potential equation

János Karátson, Lajos Lóczi, J. Karátson, 2005 .

Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems

János Karátson, István Antal, 2009 .

A DISCRETE MAXIMUM PRINCIPLE IN HILBERT SPACE WITH APPLICATIONS TO NONLINEAR COOPERATIVE ELLIPTIC SYSTEMS

Sergey Korotov, János Karátson, 2008 .

Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures

Sergey Korotov, János Karátson, 2006 .

Superlinear PCG Algorithms: Symmetric Part Preconditioning and Boundary Conditions

János Karátson, J. Karátson, 2008 .

Numerical solution of nonlinear elliptic problems via preconditioning operators : theory and applications

István Faragó, János Karátson, I. Faragó, 2002 .

Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems

Owe Axelsson, János Karátson, O. Axelsson, 2007 .

Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators

János Karátson, J. Karátson, 2005 .

Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems

Sergey Korotov, János Karátson, J. Karátson, 2009 .

Qualitative properties of nonlinear parabolic operators

Róbert Horváth, Sergey Korotov, István Faragó, 2017 .