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Karátson, János

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Author ID: karatson.janos Recent zbMATH articles by "Karátson, János"
Published as: Karatson, Janos; Karátson, J.; Karátson, Janos; Karátson, János
Documents Indexed: 83 Publications since 1993, including 1 Book
Reviewing Activity: 53 Reviews

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 367 times in 195 Documents Cited by Year
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
42
2005
Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J.
29
2002
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
24
2007
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043
Axelsson, O.; Karátson, J.
20
2004
Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081
Axelsson, Owe; Karátson, János
19
2007
Multiplicity for semilinear elliptic equations involving singular nonlinearity. Zbl 1387.35232
Hernández, J.; Karátson, J.; Simon, P. L.
15
2006
Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122
Karátson, J.; Faragó, I.
14
2005
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
11
2012
Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024
Axelsson, O.; Karátson, J.
11
2009
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István
11
2003
Sobolev gradient preconditioning for the electrostatic potential equation. Zbl 1098.65113
Karátson, J.; Lóczi, L.
10
2005
Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055
Axelsson, O.; Karátson, J.
9
2003
On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026
Axelsson, O.; Karátson, J.
9
2002
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. Zbl 1309.65035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr; Karátson, János; Ahmad, Bashir
8
2015
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
8
2009
The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J.
8
2001
Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Zbl 1151.65082
Karátson, J.; Kurics, T.
7
2008
Bifurcations for semilinear elliptic equations convex nonlinearity. Zbl 0933.35058
Karátson, J.; Simon, P. L.
7
1999
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
6
2009
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
6
2006
Constructive Sobolev gradient preconditioning for semilinear elliptic systems. Zbl 1109.65308
Karatson, Janos
6
2004
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
5
2009
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Zbl 1142.65439
Antal, I.; Karátson, J.
5
2008
Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity. Zbl 1028.34024
Karátson, J.; Simon, P. L.
5
2003
Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J.
5
2002
On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity. Zbl 0992.35048
Karátson, J.; Simon, P. L.
5
2001
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
4
2010
Superlinear PCG algorithms: Symmetric part preconditioning and boundary conditions. Zbl 1145.65034
Karátson, J.
4
2008
Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Zbl 1088.74013
Axelsson, O.; Karátson, J.
4
2004
The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations. Zbl 0899.46061
Karátson, J.
4
1997
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems. Zbl 1163.65071
Antal, István; Karátson, János
3
2009
On the Lipschitz continuity of derivatives for some scalar nonlinearities. Zbl 1152.47047
Karátson, J.
3
2008
A parallel algorithm for systems of convection-diffusion equations. Zbl 1137.65432
Karátson, János; Kurics, Tamás; Lirkov, Ivan
3
2007
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Zbl 1099.65033
Karátson, János
3
2005
On the linearized stability of positive solutions of quasilinear problems with \(p\)-convex or \(p\)-concave nonlinearity. Zbl 1042.35558
Karátson, J.; Simon, P. L.
3
2001
The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations. Zbl 0852.47035
Karátson, J.
3
1995
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035
Axelsson, Owe; Karátson, János; Magoulès, Fréderic
2
2018
A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling. Zbl 1291.65267
Karátson, János; Kurics, Tamás
2
2013
Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János
2
2008
On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems. Zbl 1140.65076
Karátson, J.
2
2007
Newton’s method in the context of gradients. Zbl 1135.65337
Karatson, Janos; Neuberger, John W.
2
2007
Sobolev space preconditioning of strongly nonlinear 4th order elliptic problems. Zbl 0978.65105
Karátson, János
2
2001
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
Superlinear convergence of the GMRES for PDE-constrained optimization problems. Zbl 1392.49035
Axelsson, O.; Karátson, J.
1
2018
A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions. Zbl 1347.35052
Karátson, János
1
2016
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
1
2015
Reaching the superlinear convergence phase of the CG method. Zbl 1293.65045
Axelsson, O.; Karátson, J.
1
2014
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Zbl 1319.65047
Karátson, J.; Kovács, B.
1
2013
Characterizing mesh independent quadratic convergence of Newton’s method for a class of elliptic problems. Zbl 1252.65189
Karátson, János
1
2012
Condition number analysis for various forms of block matrix preconditioners. Zbl 1205.65145
Axelsson, Owe; Karátson, János
1
2010
Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. Zbl 1140.65023
Axelsson, O.; Karátson, J.
1
2007
Double Sobolev gradient preconditioning for nonlinear elliptic problems. Zbl 1133.65095
Axelsson, O.; Karátson, J.
1
2007
Gradient method for non-uniformly convex functionals in Hilbert space. Zbl 0980.46054
Karátson, János
1
2000
Gradient method in Sobolev spaces for nonlocal boundary-value problems. Zbl 0995.35020
Karátson, J.
1
2000
Gradient method for non-injective operators in Hilbert space with application to Neumann problems. Zbl 1002.46046
Karátson, János
1
1999
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035
Axelsson, Owe; Karátson, János; Magoulès, Fréderic
2
2018
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
Superlinear convergence of the GMRES for PDE-constrained optimization problems. Zbl 1392.49035
Axelsson, O.; Karátson, J.
1
2018
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions. Zbl 1347.35052
Karátson, János
1
2016
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. Zbl 1309.65035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr; Karátson, János; Ahmad, Bashir
8
2015
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
1
2015
Reaching the superlinear convergence phase of the CG method. Zbl 1293.65045
Axelsson, O.; Karátson, J.
1
2014
A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling. Zbl 1291.65267
Karátson, János; Kurics, Tamás
2
2013
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Zbl 1319.65047
Karátson, J.; Kovács, B.
1
2013
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
11
2012
Characterizing mesh independent quadratic convergence of Newton’s method for a class of elliptic problems. Zbl 1252.65189
Karátson, János
1
2012
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
4
2010
Condition number analysis for various forms of block matrix preconditioners. Zbl 1205.65145
Axelsson, Owe; Karátson, János
1
2010
Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024
Axelsson, O.; Karátson, J.
11
2009
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
8
2009
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
6
2009
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
5
2009
Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems. Zbl 1163.65071
Antal, István; Karátson, János
3
2009
Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Zbl 1151.65082
Karátson, J.; Kurics, T.
7
2008
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Zbl 1142.65439
Antal, I.; Karátson, J.
5
2008
Superlinear PCG algorithms: Symmetric part preconditioning and boundary conditions. Zbl 1145.65034
Karátson, J.
4
2008
On the Lipschitz continuity of derivatives for some scalar nonlinearities. Zbl 1152.47047
Karátson, J.
3
2008
Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089
Faragó, István; Karátson, János
2
2008
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
24
2007
Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081
Axelsson, Owe; Karátson, János
19
2007
A parallel algorithm for systems of convection-diffusion equations. Zbl 1137.65432
Karátson, János; Kurics, Tamás; Lirkov, Ivan
3
2007
On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems. Zbl 1140.65076
Karátson, J.
2
2007
Newton’s method in the context of gradients. Zbl 1135.65337
Karatson, Janos; Neuberger, John W.
2
2007
Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. Zbl 1140.65023
Axelsson, O.; Karátson, J.
1
2007
Double Sobolev gradient preconditioning for nonlinear elliptic problems. Zbl 1133.65095
Axelsson, O.; Karátson, J.
1
2007
Multiplicity for semilinear elliptic equations involving singular nonlinearity. Zbl 1387.35232
Hernández, J.; Karátson, J.; Simon, P. L.
15
2006
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
6
2006
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
42
2005
Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122
Karátson, J.; Faragó, I.
14
2005
Sobolev gradient preconditioning for the electrostatic potential equation. Zbl 1098.65113
Karátson, J.; Lóczi, L.
10
2005
Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Zbl 1099.65033
Karátson, János
3
2005
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043
Axelsson, O.; Karátson, J.
20
2004
Constructive Sobolev gradient preconditioning for semilinear elliptic systems. Zbl 1109.65308
Karatson, Janos
6
2004
Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Zbl 1088.74013
Axelsson, O.; Karátson, J.
4
2004
Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309
Karátson, János; Faragó, István
11
2003
Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055
Axelsson, O.; Karátson, J.
9
2003
Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity. Zbl 1028.34024
Karátson, J.; Simon, P. L.
5
2003
Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117
Faragó, I.; Karátson, J.
29
2002
On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026
Axelsson, O.; Karátson, J.
9
2002
Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J.
5
2002
The gradient-finite element method for elliptic problems. Zbl 0987.65121
Faragó, I.; Karátson, J.
8
2001
On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity. Zbl 0992.35048
Karátson, J.; Simon, P. L.
5
2001
On the linearized stability of positive solutions of quasilinear problems with \(p\)-convex or \(p\)-concave nonlinearity. Zbl 1042.35558
Karátson, J.; Simon, P. L.
3
2001
Sobolev space preconditioning of strongly nonlinear 4th order elliptic problems. Zbl 0978.65105
Karátson, János
2
2001
Gradient method for non-uniformly convex functionals in Hilbert space. Zbl 0980.46054
Karátson, János
1
2000
Gradient method in Sobolev spaces for nonlocal boundary-value problems. Zbl 0995.35020
Karátson, J.
1
2000
Bifurcations for semilinear elliptic equations convex nonlinearity. Zbl 0933.35058
Karátson, J.; Simon, P. L.
7
1999
Gradient method for non-injective operators in Hilbert space with application to Neumann problems. Zbl 1002.46046
Karátson, János
1
1999
The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations. Zbl 0899.46061
Karátson, J.
4
1997
The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations. Zbl 0852.47035
Karátson, J.
3
1995
all top 5

Cited by 231 Authors

40 Karátson, János
19 Korotov, Sergey
17 Axelsson, Axel Owe Holger
8 Faragó, István
8 Křížek, Michal
8 Raza, Nauman
8 Sial, Sultan
8 Vejchodský, Tomáš
5 Hai, Dang Dinh
5 Huang, Weizhang
5 Simon, Peter L.
4 Boulbrachene, Messaoud
4 Cheng, Jiangang
4 Hannukainen, Antti
4 Horváth, Robert A.
4 Kurics, Tamás
4 Siddiqi, Shahid Saeed
4 Zhu, Yunrong
3 Awanou, Gerard Michel
3 Blaheta, Radim
3 Brandts, Jan H.
3 Butt, Asma Rashid
3 Chu, Khanh Duc
3 Hieu, Le Minh
3 Kovács, Balázs
3 Li, Xianping
3 Matus, Pëtr Paŭlavich
3 Neuberger, John W.
3 Pollock, Sara
3 Shivaji, Ratnasingham
3 Šolín, Pavel
3 Sreenadh, Konijeti
3 Svyatskiy, Daniil
3 Yi, Dokkyun
2 Antal, István
2 Dassi, Franco
2 Gáspár, Csaba
2 Gaspar, Francisco José
2 Harbi, Abida
2 Hernández, Jairo
2 Holst, Michael J.
2 Kuzmin, Dmitri
2 Lu, Changna
2 Manzini, Gianmarco
2 Mukherjee, Tuhina
2 Nakshatrala, K. B.
2 Poliakov, Dmitriy
2 Protas, Bartosz
2 Rynne, Bryan P.
2 Scacchi, Simone
2 Segeth, Karel
2 Shayegan, Amir Hossein Salehi
2 Simoncini, Valeria
2 Strakoš, Zdeněk
2 Zakeri, Ali
2 Zhai, Chengbo
1 Abdulle, Assyr
1 Adewole, Matthew Olayiwola
1 Afrouzi, Ghasem Alizadeh
1 Ahmed, Abubaker
1 Ahmed, Tazuddin
1 Al Farei, Qais
1 Aleja, David
1 Alger, Nick
1 An, Hengbin
1 Araiza, Roberto
1 Awi, Roméo
1 Azmi, Behzad
1 Bebendorf, Mario
1 Bodó, Ágnes
1 Borsos, Bálint
1 Bui-Thanh, Tan
1 Cao, Yang
1 Casas, Eduardo
1 Chen, Yanping
1 Chen, Youmin
1 Choi, Booyong
1 Cortey-Dumont, Philippe
1 Csóka, József
1 Csomós, Petra
1 Danaila, Ionut
1 De Staelen, Rob H.
1 Debusschere, Bert J.
1 Deka, Bhupen
1 Dhanya, Rajendran
1 Diaz Diaz, Jesus Ildefonso
1 Diening, Lars
1 Dimov, Ivan Todor
1 Ding, Deqiong
1 Ding, Xiaohua
1 Dorostkar, Ali
1 El Hanine, Raghia
1 Elshebli, Maryem A. T.
1 Feng, Xinlong
1 Frittelli, Massimo
1 Gergelits, Tomáš
1 Ghattas, Omar N.
1 Giacomoni, Jacques
1 Gould, Nicholas Ian Mark
1 Guidetti, Davide
...and 131 more Authors
all top 5

Cited in 62 Serials

20 Journal of Computational and Applied Mathematics
15 Journal of Computational Physics
13 Computers & Mathematics with Applications
12 Journal of Mathematical Analysis and Applications
11 Numerische Mathematik
9 Applied Mathematics and Computation
7 Mathematics and Computers in Simulation
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Numerical Functional Analysis and Optimization
6 Central European Journal of Mathematics
4 Applications of Mathematics
4 Numerical Algorithms
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematical Modelling
3 SIAM Journal on Scientific Computing
3 Numerical Linear Algebra with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 BIT
2 Computing
2 Journal of Differential Equations
2 Applied Numerical Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 International Journal of Computer Mathematics
2 Differential Equations and Dynamical Systems
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Computational Methods in Applied Mathematics
2 International Journal of Computational Methods
2 Complex Variables and Elliptic Equations
2 Journal of Function Spaces
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Journal of Optimization Theory and Applications
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Numerical Analysis
1 Tohoku Mathematical Journal. Second Series
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computational Optimization and Applications
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Journal of Applied Analysis
1 Computing and Visualization in Science
1 Optimization Methods & Software
1 Journal of Applied Mathematics
1 Journal of Function Spaces and Applications
1 Networks and Heterogeneous Media
1 Journal of Electrical and Computer Engineering
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 Journal of Applied Mathematics & Informatics
1 S\(\vec{\text{e}}\)MA Journal
1 Advances in Nonlinear Analysis

Citations by Year