János Karátson

Stanislav Sysala

Michal Béres

Comput. Math. Appl., 2025

2024

Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems.

[BibT_eX]

[DOI]

Sebastian-Josue Castillo

Numer. Algorithms, June, 2024

Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D.

[BibT_eX]

[DOI]

Stanislav Sysala

Michal Béres

Numer. Linear Algebra Appl., May, 2024

2023

Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners.

[BibT_eX]

[DOI]

Frédéric Magoulès

SIAM J. Numer. Anal., April, 2023

2022

Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity.

[BibT_eX]

[DOI]

Benjámin Borsos

Comput. Methods Appl. Math., 2022

Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity.

[BibT_eX]

[DOI]

Benjámin Borsos

Comput. Methods Appl. Math., 2022

2021

Krylov improvements of the Uzawa method for Stokes type operator matrices.

[BibT_eX]

[DOI]

Numerische Mathematik, 2021

2020

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2020

2019

Qualitative properties of discrete nonlinear parabolic operators.

[BibT_eX]

[DOI]

Róbert Horváth

Numerische Mathematik, 2019

Variable preconditioning for strongly nonlinear elliptic problems.

[BibT_eX]

[DOI]

Benjámin Borsos

J. Comput. Appl. Math., 2019

2018

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

[BibT_eX]

[DOI]

Frédéric Magoulès

J. Comput. Appl. Math., 2018

2017

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

[BibT_eX]

[DOI]

Math. Comput. Simul., 2017

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

2015

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

Some discrete maximum principles arising for nonlinear elliptic finite element problems.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2015

2014

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

[BibT_eX]

[DOI]

Balázs Kovács

SIAM J. Numer. Anal., 2014

Reaching the superlinear convergence phase of the CG method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

2013

Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation.

[BibT_eX]

[DOI]

Balázs Kovács

Comput. Math. Appl., 2013

2012

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

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2012

2009

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2009

Equivalent operator preconditioning for elliptic problems.

[BibT_eX]

[DOI]

Numer. Algorithms, 2009

A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008

A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems.

[BibT_eX]

[DOI]

István Antal

Comput. Math. Appl., 2008

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

[BibT_eX]

[DOI]

Tamás Kurics

Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007

Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2007

On discrete maximum principles for nonlinear elliptic problems.

[BibT_eX]

[DOI]

Michal Krízek

Math. Comput. Simul., 2007

Mesh Independent Convergence Rates Via Differential Operator Pairs.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006

A Parallel Algorithm for Systems of Convection-Diffusion Equations.

[BibT_eX]

[DOI]

Tamás Kurics

Ivan Lirkov

Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2005

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

2004

Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators.

[BibT_eX]

[DOI]

Numerische Mathematik, 2004

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2004

2003

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2003

2002

Sobolev space preconditioning for Newton's method using domain decomposition.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2002

2001

Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

2000

Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems.

[BibT_eX]

[DOI]