Owe Axelsson

Orcid: 0000-0001-8753-2429

Affiliations:
  • University of Nijmegen, Department of Mathematics


According to our database1, Owe Axelsson authored at least 106 papers between 1977 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Stage-parallel preconditioners for implicit Runge-Kutta methods of arbitrarily high order, linear problems.
Numer. Linear Algebra Appl., January, 2024

An efficient preconditioner for a class of non-Hermitian two-by-two block complex system of linear equations.
CoRR, 2024

2023
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners.
SIAM J. Numer. Anal., April, 2023

2022
Exact inverse solution techniques for a class of complex valued block two-by-two linear systems.
Numer. Algorithms, 2022

2021
Krylov improvements of the Uzawa method for Stokes type operator matrices.
Numerische Mathematik, 2021

Computational methods for boundary optimal control and identification problems.
Math. Comput. Simul., 2021

Inner product free iterative solution and elimination methods for linear systems of a three-by-three block matrix form.
J. Comput. Appl. Math., 2021

Robust iteration methods for complex systems with an indefinite matrix term.
CoRR, 2021

An Exact Schur Complement Method for Time-Harmonic Optimal Control Problems.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

2020
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks.
Numerische Mathematik, 2020

Extensions of a coarse-fine mesh stabilized Schwarz alternating iteration domain decomposition method.
J. Comput. Appl. Math., 2020

Optimality properties of a square block matrix preconditioner with applications.
Comput. Math. Appl., 2020

2019
A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method.
Numer. Linear Algebra Appl., 2019

Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems.
J. Num. Math., 2019

A note on preconditioning methods for time-periodic eddy current optimal control problems.
J. Comput. Appl. Math., 2019

An Introduction and Summary of Use of Optimal Control Methods for PDE's.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

A Survey of Optimal Control Problems for PDEs.
Proceedings of the Advances in High Performance Computing, 2019

Applications of the PRESB Preconditioning Method for OPT-PDE Problems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
A robust structured preconditioner for time-harmonic parabolic optimal control problems.
Numer. Algorithms, 2018

Parallel solution Methods and preconditioners for Evolution equations.
Math. Model. Anal., 2018

An efficient preconditioning method for state box-constrained optimal control problems.
J. Num. Math., 2018

Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations.
J. Comput. Appl. Math., 2018

Low-rank improvements of two-level grid preconditioned matrices.
J. Comput. Appl. Math., 2018

2017
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems - Stokes control.
Numer. Algorithms, 2017

Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part.
J. Comput. Appl. Math., 2017

A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control.
J. Comput. Appl. Math., 2017

Preconditioners for Time-Harmonic Optimal Control Eddy-Current Problems.
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

2016
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems - Poisson and convection-diffusion control.
Numer. Algorithms, 2016

Corrigendum to "Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems" [J. Comput. Appl. Math. (2015) 141-157].
J. Comput. Appl. Math., 2016

2015
Preconditioning of iterative methods - theory and applications.
Numer. Linear Algebra Appl., 2015

Preconditioning methods for high-order strongly stable time integration methods with an application for a DAE problem.
Numer. Linear Algebra Appl., 2015

Unified analysis of preconditioning methods for saddle point matrices.
Numer. Linear Algebra Appl., 2015

Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems.
J. Comput. Appl. Math., 2015

Continuation Newton methods.
Comput. Math. Appl., 2015

Preconditioners for Mixed FEM Solution of Stationary and Nonstationary Porous Media Flow Problems.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

A Comparison of Preconditioning Methods for Saddle Point Problems with an Application to Porous Media Flow Problems.
Proceedings of the High Performance Computing in Science and Engineering, 2015

2014
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality.
SIAM J. Numer. Anal., 2014

A comparison of iterative methods to solve complex valued linear algebraic systems.
Numer. Algorithms, 2014

An additive subspace preconditioning method for the iterative solution of some problems with extreme contrasts in coefficients.
J. Num. Math., 2014

Reaching the superlinear convergence phase of the CG method.
J. Comput. Appl. Math., 2014

2013
A general approach to analyse preconditioners for two-by-two block matrices.
Numer. Linear Algebra Appl., 2013

Response to Comment on 'Preconditioning of matrices partitioned in 2 × 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM'.
Numer. Linear Algebra Appl., 2013

Numerical and computational efficiency of solvers for two-phase problems.
Comput. Math. Appl., 2013

2012
Macro-elementwise preconditioning methods.
Math. Comput. Simul., 2012

Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices.
Comput. Vis. Sci., 2012

2011
Matrix computations and nonlinear equations.
Numer. Linear Algebra Appl., 2011

Preconditioners for regularized saddle point matrices.
J. Num. Math., 2011

Material Parameter Identification with Parallel Processing and Geo-applications.
Proceedings of the Parallel Processing and Applied Mathematics, 2011

2010
Preface.
Numer. Linear Algebra Appl., 2010

Preconditioning of matrices partitioned in 2 × 2 block form: eigenvalue estimates and Schwarz DD for mixed FEM.
Numer. Linear Algebra Appl., 2010

The past 16 years of NLA.
Numer. Linear Algebra Appl., 2010

Iterative Signal Processing in Communications.
J. Electr. Comput. Eng., 2010

Milestones in the Development of Iterative Solution Methods.
J. Electr. Comput. Eng., 2010

2009
Preconditioning of Boundary Value Problems Using Elementwise Schur Complements.
SIAM J. Matrix Anal. Appl., 2009

Equivalent operator preconditioning for elliptic problems.
Numer. Algorithms, 2009

The local Green's function method in singularly perturbed convection-diffusion problems.
Math. Comput., 2009

An Additive Matrix Preconditioning Method with Application for Domain Decomposition and Two-Level Matrix Partitionings.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2007
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators.
SIAM J. Numer. Anal., 2007

Mesh Independent Convergence Rates Via Differential Operator Pairs.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006
Eigenvalue estimates for preconditioned saddle point matrices.
Numer. Linear Algebra Appl., 2006

2004
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators.
Numerische Mathematik, 2004

A Class of Nested Iteration Schemes for Linear Systems with a Coefficient Matrix with a Dominant Positive Definite Symmetric Part.
Numer. Algorithms, 2004

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems.
Math. Comput. Simul., 2004

2003
Preconditioning methods for linear systems arising in constrained optimization problems.
Numer. Linear Algebra Appl., 2003

Editorial.
Numer. Linear Algebra Appl., 2003

Upper Bound of the Constant in Strengthened C.B.S. Inequality for Systems of Linear Partial Differential Equations.
Numer. Algorithms, 2003

Iteration number for the conjugate gradient method.
Math. Comput. Simul., 2003

Eigenvalue Estimates for Preconditioned Saddle Point Matrices.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2002
Sobolev space preconditioning for Newton's method using domain decomposition.
Numer. Linear Algebra Appl., 2002

Preface.
Numer. Linear Algebra Appl., 2002

Robust Preconditioners for Saddle Point Problems.
Proceedings of the Numerical Methods and Applications, 5th International Conference, 2002

Preconditioning Methods for Linear Systems with Saddle Point Matrices.
Proceedings of the Computational Science - ICCS 2002, 2002

2001
Generalized Augmented Matrix Preconditioning Approach and its Application to Iterative Solution of Ill-Conditioned Algebraic Systems.
SIAM J. Matrix Anal. Appl., 2001

Stability and error estimates for the θ-method for strongly monotone and infinitely stiff evolution equations.
Numerische Mathematik, 2001

Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations.
Numer. Linear Algebra Appl., 2001

Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system.
Numer. Linear Algebra Appl., 2001

On a Schur Complement Approach for Solving Two-Level Finite Element Systems.
Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

Optimizing Two-Level Preconditionings for the Conjugate Gradient Method.
Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

Finite element solution of boundary value problemes - theory and computation.
Classics in applied mathematics 35, SIAM, ISBN: 978-0-89871-499-9, 2001

2000
Real valued iterative methods for solving complex symmetric linear systems.
Numer. Linear Algebra Appl., 2000

On the sublinear and superlinear rate of convergence of conjugate gradient methods.
Numer. Algorithms, 2000

1999
On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems.
SIAM J. Sci. Comput., 1999

Editorial: Special Issue: Iterative solution methods for the elasticity equations in mechanics and biomechanics - IMMB'98.
Numer. Linear Algebra Appl., 1999

Stabilization of algebraic multilevel iteration methods; additive methods.
Numer. Algorithms, 1999

On Generalized Conjugate Gradient Type Methods for the Iterative Solution of Nonsymmetric and/or Indefinite Systems of Equations; Some Specific Convergence Properties.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1998
Preconditioned solution methods for large scale problems in scientific computations PRISM '97.
Numer. Linear Algebra Appl., 1998

Avoiding Slave Points in an Adaptive Refinement Procedure for Convection-Diffusion Problems in 2D.
Computing, 1998

1997
Inexact Newton solvers in plasticity: theory and experiments.
Numer. Linear Algebra Appl., 1997

Adaptive Refinement for Convection-Diffusion Problems Based on a Defect-Correction Technique and Finite Difference Method.
Computing, 1997

Globally Convergent Continuation Methods for Non-Linear Equations.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1997

1995
On a Class of Nonlinear Equation Solvers Based on the Residual Norm Reduction over a Sequence of Affine Subspaces.
SIAM J. Sci. Comput., 1995

On Eigenvalue Estimates for Block Incomplete Factorization Methods.
SIAM J. Matrix Anal. Appl., 1995

On a generalized conjugate gradient orthogonal residual method.
Numer. Linear Algebra Appl., 1995

Editorial.
Numer. Linear Algebra Appl., 1995

1994
Variable-step multilevel preconditioning methods, I: Self-adjoint and positive definite elliptic problems.
Numer. Linear Algebra Appl., 1994

Algebraic multilevel iteration method for Stieltjes matrices.
Numer. Linear Algebra Appl., 1994

Editorial.
Numer. Linear Algebra Appl., 1994

Diagonally compensated reduction and related preconditioning methods.
Numer. Linear Algebra Appl., 1994

1992
Bounds of Eigenvalues of Preconditioned Matrices.
SIAM J. Matrix Anal. Appl., 1992

1991
The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices.
SIAM J. Sci. Comput., 1991

Constant wavefront iteration methods for nine- and 15-point difference matrices.
Computing, 1991

1989
On Iterative Solution of Elliptic Difference Equations on a Mesh-Connected Array of Processors.
Int. J. High Speed Comput., 1989

1987
Domain Decomposition Methods for Three-dimensional Elliptic Problems-Abstracts.
Proceedings of the Third SIAM Conference on Parallel Processing for Scientific Computing, 1987

1986
A note on the vectorization of scalar recursions.
Parallel Comput., 1986

1980
A Preconditioned Conjugate Gradient Method for Finite Element Equations, which is Stable for Rounding Errors.
Proceedings of the Information Processing, Proceedings of the 8th IFIP Congress 1980, Tokyo, Japan - October 6-9, 1980 and Melbourne, Australia, 1980

1977
On a Graphical Package for Nonlinear Partial Differential Equation Problems.
Proceedings of the Information Processing, 1977


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