Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions J Karátson, S Korotov Numerische Mathematik 99 (4), 669-698, 2005 | 148 | 2005 |
Numerical solution of nonlinear elliptic problems via preconditioning operators: Theory and applications I Faragó, J Karátson Nova Publishers, 2002 | 127 | 2002 |
On discrete maximum principles for nonlinear elliptic problems J Karátson, S Korotov, M Křížek Mathematics and Computers in Simulation 76 (1-3), 99-108, 2007 | 73 | 2007 |
Equivalent operator preconditioning for elliptic problems O Axelsson, J Karátson Numerical Algorithms 50, 297-380, 2009 | 60 | 2009 |
Discrete maximum principles for nonlinear parabolic PDE systems I Faragó, J Karátson, S Korotov IMA Journal of Numerical Analysis 32 (4), 1541-1573, 2012 | 49 | 2012 |
Mesh independent superlinear PCG rates via compact-equivalent operators O Axelsson, J Karátson SIAM Journal on Numerical Analysis 45 (4), 1495-1516, 2007 | 46 | 2007 |
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space J Karátson, I Faragó SIAM journal on numerical analysis 41 (4), 1242-1262, 2003 | 40 | 2003 |
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators O Axelsson, J Karátson Numerische Mathematik 99 (2), 197-223, 2004 | 38 | 2004 |
Multiplicity for semilinear elliptic equations involving singular nonlinearity J Hernández, J Karátson, PL Simon Nonlinear Analysis: Theory, Methods & Applications 65 (2), 265-283, 2006 | 34 | 2006 |
Preconditioning operators and Sobolevgradients for nonlinear elliptic problems J Karátson, I Faragó Computers & Mathematics with Applications 50 (7), 1077-1092, 2005 | 34 | 2005 |
On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space O Axelsson, J Karátson Taylor & Francis Group 23 (3-4), 285-302, 2002 | 27 | 2002 |
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems J Karátson, S Korotov SIAM journal on numerical analysis 47 (4), 2518-2549, 2009 | 26 | 2009 |
On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity J Karátson, PL Simon Journal of Computational and Applied Mathematics 131 (1-2), 497-501, 2001 | 26 | 2001 |
The gradient-finite element method for elliptic problems I Faragó, J Karátson Computers & Mathematics with Applications 42 (8-9), 1043-1053, 2001 | 25 | 2001 |
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems J Karátson, S Korotov Int. J. Numer. Anal. Model 6 (1), 1-16, 2009 | 24 | 2009 |
Symmetric part preconditioning for the conjugate gradient method in Hilbert space O Axelsson, J Karátson Numerical Functional Analysis and Optimization 24 (5-6), 455-474, 2003 | 24 | 2003 |
Bifurcations for semilinear elliptic equations with convex nonlinearity J Karatson, PL Simon Southwest Texas State University, Department of Mathematics, 1999 | 23 | 1999 |
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures J Karátson, S Korotov Journal of Computational and Applied Mathematics 192 (1), 75-88, 2006 | 20 | 2006 |
Sobolev gradient preconditioning for the electrostatic potential equation J Karatson, L Loczi Computers & Mathematics with Applications 50 (7), 1093-1104, 2005 | 20 | 2005 |
Exact multiplicity for degenerate two-point boundary value problems with p-convex nonlinearity J Karatson, PL Simon Nonlinear Analysis: Theory, Methods & Applications 52 (6), 1569-1590, 2003 | 20 | 2003 |