Iterative solution methods. Zbl 0795.65014
Axelsson, Owe |
|
1994
|
Finite element solution of boundary value problems. Theory and computation. Zbl 0537.65072
Axelsson, O.; Barker, V. A. |
|
1984
|
Iterative solution methods.
1st pbk-ed. Zbl 0845.65011
Axelsson, Owe |
|
1996
|
Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025
Axelsson, Owe; Kucherov, Andrey |
|
2000
|
On the rate of convergence of the preconditioned conjugate gradient method. Zbl 0564.65017
Axelsson, Owe; Lindskog, Gunhild |
|
1986
|
Algebraic multilevel preconditioning methods. I. Zbl 0661.65110
Axelsson, O.; Vassilevski, P. S. |
|
1989
|
A comparison of iterative methods to solve complex valued linear algebraic systems. Zbl 1307.65034
Axelsson, Owe; Neytcheva, Maya; Ahmad, Bashir |
|
2014
|
Algebraic multilevel preconditioning methods. II. Zbl 0715.65091
Axelsson, O.; Vassilevski, P. S. |
|
1990
|
Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations. Zbl 0439.65020
Axelsson, Owe |
|
1980
|
Preconditioning and two-level multigrid methods of arbitrary degree of approximation. Zbl 0511.65079
Axelsson, O.; Gustafsson, I. |
|
1983
|
A class of \(A\)-stable methods. Zbl 0208.41504
Axelsson, O. |
|
1969
|
A generalized SSOR method. Zbl 0256.65046
Axelsson, O. |
|
1972
|
A survey of preconditioned iterative methods for linear systems of algebraic equations. Zbl 0566.65017
Axelsson, O. |
|
1985
|
On the eigenvalue distribution of a class of preconditioning methods. Zbl 0564.65016
Axelsson, Owe; Lindskog, Gunhild |
|
1986
|
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part. Zbl 1054.65028
Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia |
|
2004
|
A two-level method for the discretization of nonlinear boundary value problems. Zbl 0866.65077
Axelsson, O.; Layton, W. |
|
1996
|
A class of iterative methods for finite element equations. Zbl 0334.65028
Axelsson, O. |
|
1976
|
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Zbl 1353.65059
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2016
|
Finite element solution of boundary value problems. Theory and computation.
Repr. Zbl 0981.65130
Axelsson, O.; Barker, V. A. |
|
2001
|
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080
Axelsson, Owe; Neytcheva, Maya |
|
2006
|
A generalized conjugate gradient, least square method. Zbl 0596.65014
Axelsson, O. |
|
1987
|
A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. Zbl 0748.65028
Axelsson, O.; Vassilevski, P. S. |
|
1991
|
Diagonally compensated reduction and related preconditioning methods. Zbl 0837.65023
Axelsson, O.; Kolotilina, L. |
|
1994
|
Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65052
Axelsson, A. O. H.; Verwer, J. G. |
|
1985
|
Preconditioning of boundary value problems using elementwise Schur complements. Zbl 1194.65047
Axelsson, Owe; Blaheta, Radim; Neytcheva, Maya |
|
2009
|
On some versions of incomplete block-matrix factorization iterative methods. Zbl 0548.65016
Axelsson, O.; Brinkkemper, S.; Il’in, V. P. |
|
1984
|
A general incomplete block-matrix factorization method. Zbl 0622.65023
Axelsson, O. |
|
1986
|
On preconditioning and convergence acceleration in sparse matrix problems. Zbl 0354.65020
Axelsson, O. |
|
1974
|
Preconditioning of indefinite problems by regularization. Zbl 0416.65071
Axelsson, O. |
|
1979
|
Preconditioning methods for linear systems arising in constrained optimization problems. Zbl 1071.65527
Axelsson, Owe; Neytcheva, Maya |
|
2003
|
Iterative methods for the solution of the Navier equations of elasticity. Zbl 0402.73028
Axelsson, Owe; Gustafsson, Ivar |
|
1978
|
A modified upwind scheme for convective transport equations and the use of a conjugate gradient method for the solution of non-symmetric systems of equations. Zbl 0427.65079
Axelsson, O.; Gustafsson, I. |
|
1979
|
On approximate factorization methods for block matrices suitable for vector and parallel processors. Zbl 0587.65013
Axelsson, Owe; Polman, Ben |
|
1986
|
Unified analysis of preconditioning methods for saddle point matrices. Zbl 1363.65047
Axelsson, Owe |
|
2015
|
A new version of a preconditioning method for certain two-by-two block matrices with square blocks. Zbl 07074115
Axelsson, Owe; Salkuyeh, Davod Khojasteh |
|
2019
|
Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081
Axelsson, Owe; Karátson, János |
|
2007
|
A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control. Zbl 1347.49048
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2017
|
Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025
Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X. |
|
2013
|
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043
Axelsson, O.; Karátson, J. |
|
2004
|
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control. Zbl 1365.65167
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2017
|
Defect correction methods for convection dominated convection-diffusion problems. Zbl 0705.65081
Axelsson, O.; Layton, W. |
|
1990
|
A robust structured preconditioner for time-harmonic parabolic optimal control problems. Zbl 1400.49041
Liang, Zhao-Zheng; Axelsson, Owe; Neytcheva, Maya |
|
2018
|
Solution of linear systems of equations: Iterative methods. Zbl 0354.65021
Axelsson, Owe |
|
1977
|
Variable-step multilevel preconditioning methods. I: Self-adjoint and positive definite elliptic problems. Zbl 0804.65104
Axelsson, O.; Vassilevski, P. S. |
|
1994
|
Algebraic multilevel iteration method for Stieltjes matrices. Zbl 0837.65024
Axelsson, O.; Neytcheva, M. |
|
1994
|
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices. Zbl 1388.74035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr |
|
2012
|
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor |
|
2019
|
Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024
Axelsson, O.; Karátson, J. |
|
2009
|
On the numerical radius of matrices and its application to iterative solution methods. Zbl 0813.15021
Axelsson, O.; Lu, H.; Polman, B. |
|
1994
|
On the sublinear and superlinear rate of convergence of conjugate gradient methods. Zbl 0972.65024
Axelsson, Owe; Kaporin, Igor |
|
2000
|
Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method. Zbl 0876.35009
Axelsson, O.; Nikolova, M. |
|
1997
|
Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations. Zbl 1051.65024
Axelsson, Owe; Kaporin, Igor |
|
2001
|
On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems. Zbl 0940.65034
Axelsson, Owe; Padiy, Alexander |
|
1999
|
Supplement to Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65053
Axelsson, A. O. H.; Verwer, J. G. |
|
1985
|
On a class of nonlinear equation solvers based on the residual norm reduction over a sequence of affine subspaces. Zbl 0826.65048
Kaporin, Igor; Axelsson, Owe |
|
1995
|
Monotonicity and discretization error estimates. Zbl 0719.65036
Axelsson, O.; Kolotilina, L. |
|
1990
|
Incomplete block matrix factorization preconditioning methods. The ultimate answer? Zbl 0576.65020
Axelsson, O. |
|
1985
|
On the efficiency of a class of \(A\)-stable methods. Zbl 0289.65028
Axelsson, O. |
|
1974
|
Generalized augmented matrix preconditioning approach and its application to iterative solution of ill-conditioned algebraic systems. Zbl 0982.65053
Padiy, Alexander; Axelsson, Owe; Polman, Ben |
|
2000
|
On iterative solvers in structural mechanics; separate displacement orderings and mixed variable methods. Zbl 1053.74651
Axelsson, Owe |
|
1999
|
The nested recursive two-level factorization method for nine-point difference matrices. Zbl 0738.65019
Axelsson, Owe; Eijkhout, Victor |
|
1991
|
Global integration of differential equations through Lobatto quadrature. Zbl 0122.12204
Axelsson, O. |
|
1964
|
Preconditioning of matrices partitioned in \(2\times 2\) block form: eigenvalue estimates and Schwarz DD for mixed FEM. Zbl 1240.65090
Axelsson, Owe; Blaheta, Radim |
|
2010
|
Vectorizable preconditioners for elliptic difference equations in three space dimensions. Zbl 0678.65030
Axelsson, O.; Eijkhout, V. |
|
1989
|
On mesh independence and Newton-type methods. Zbl 0806.65057
Axelsson, Owe |
|
1993
|
A survey of multilevel preconditioned iterative methods. Zbl 0694.65009
Axelsson, O.; Vassilevski, P. S. |
|
1989
|
Two simple derivations of universal bounds for the CBS inequality constant. Zbl 1099.65103
Axelsson, Owe; Blaheta, Radim |
|
2004
|
Stabilization of algebraic multilevel iteration methods; additive methods. Zbl 0937.65135
Axelsson, Owe |
|
1999
|
On the updating and assembly of the Hessian matrix in finite element methods. Zbl 0673.65068
Axelsson, O.; Maubach, J. |
|
1988
|
On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026
Axelsson, O.; Karátson, J. |
|
2002
|
The algebraic multilevel iteration methods – Theory and applications. Zbl 0845.65012
Axelsson, O.; Neytcheva, M. |
|
1994
|
A general approach to analyse preconditioners for two-by-two block matrices. Zbl 1313.65048
Axelsson, Owe; Neytcheva, Maya |
|
2013
|
Analytical and numerical approaches to asymptotic problems in analysis. Proceedings of the Conference, University of Nijmegen, The Netherlands, June 9-13. 1980. Zbl 0441.00011
|
|
1981
|
Iteration number for the conjugate gradient method. Zbl 1018.65036
Axelsson, Owe |
|
2003
|
A survey of vectorizable preconditioning methods for large scale finite element matrix problems. Zbl 0552.65019
Axelsson, O. |
|
1984
|
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders |
|
2018
|
Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055
Axelsson, O.; Karátson, J. |
|
2003
|
Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system. Zbl 1050.74043
Achchab, B.; Axelsson, O.; Laayouni, L.; Souissi, A. |
|
2001
|
A restarted version of a generalized preconditioned conjugate gradient method. Zbl 0648.65024
Axelsson, O. |
|
1988
|
Analysis of incomplete factorizations with fixed storage allocation. Zbl 0765.65030
Axelsson, O.; Munksgaard, N. |
|
1991
|
A note on preconditioning methods for time-periodic eddy current optimal control problems. Zbl 1410.65093
Axelsson, Owe; Liang, Zhao-Zheng |
|
2019
|
On multigrid methods of the two-level type. Zbl 0505.65040
Axelsson, O. |
|
1982
|
A class of preconditioned conjugate gradient methods for the solution of a mixed finite element discretization of the biharmonic operator. Zbl 0416.65069
Axelsson, Owe; Munksgaard, Niels |
|
1979
|
A generalized conjugate direction method and its application on a singular perturbation problem. Zbl 0421.65023
Axelsson, O. |
|
1980
|
Block preconditioning and domain decomposition methods. II. Zbl 0658.65094
Axelsson, O.; Polman, B. |
|
1988
|
On the numerical solutions of two-point singularly perturbed boundary value problems. Zbl 0553.76034
Axelsson, O.; Carey, G. F. |
|
1985
|
Incomplete block-matrix factorization iterative methods for convection- diffusion problems. Zbl 0687.65029
Axelsson, O.; Eijkhout, V.; Polman, B.; Vassilevski, P. |
|
1989
|
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 |
|
2015
|
Numerical solution of the time-dependent Navier-Stokes equation for variable density-variable viscosity. I. Zbl 1488.76084
Axelsson, Owe; He, Xin; Neytcheva, Maya |
|
2015
|
On a robust and scalable linear elasticity solver based on a saddle point formulation. Zbl 0956.74050
Axelsson, Owe; Padiy, Alexander |
|
1999
|
On a two-level Newton-type procedure applied for solving non-linear elasticity problems. Zbl 0994.74066
Axelsson, Owe; Padiy, Alexander |
|
2000
|
Preconditioning methods for high-order strongly stable time integration methods with an application for a DAE problem. Zbl 1374.65135
Axelsson, Owe; Blaheta, Radim; Kohut, Roman |
|
2015
|
On the numerical solution of convection dominated convection-diffusion problems. Zbl 0563.76084
Axelsson, O. |
|
1984
|
Minimum residual adaptive multilevel finite element procedure for the solution of nonlinear stationary problems. Zbl 0972.65092
Axelsson, O.; Kaporin, I. E. |
|
1998
|
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035
Axelsson, Owe; Karátson, János; Magoulès, Fréderic |
|
2018
|
Stability and error estimates of Galerkin finite element approximations for convection-diffusion equations. Zbl 0508.76069
Axelsson, O. |
|
1981
|
The local Green’s function method in singularly perturbed convection-diffusion problems. Zbl 1198.65058
Axelsson, Owe; Glushkov, Evgeny; Glushkova, Natalya |
|
2009
|
On the use of preconditioned conjugate gradient methods for red-black ordered five-point difference schemes. Zbl 0425.65056
Axelsson, O.; Gustafsson, I. |
|
1980
|
Solving the Stokes problem on a massively parallel computer. Zbl 1162.76332
Axelsson, O.; Barker, V. A.; Neytcheva, M.; Polman, B. |
|
2001
|
Avoiding slave points in an adaptive refinement procedure for convection-diffusion problems in 2D. Zbl 0921.65072
Axelsson, O.; Nikolova, M. |
|
1998
|
Stage-parallel preconditioners for implicit Runge-Kutta methods of arbitrarily high order, linear problems. Zbl 07830555
Axelsson, Owe; Dravins, Ivo; Neytcheva, Maya |
|
2024
|
Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073
Axelsson, Owe; Karátson, János; Magoulès, Frédéric |
|
2023
|
Efficient iteration methods for complex systems with an indefinite matrix term. Zbl 1483.65050
Axelsson, Owe; Pourbagher, Maeddeh; Salkuyeh, Davod Khojasteh |
|
2022
|
Computational methods for boundary optimal control and identification problems. Zbl 1540.65110
Axelsson, Owe; Béreš, Michal; Blaheta, Radim |
|
2021
|
Inner product free iterative solution and elimination methods for linear systems of a three-by-three block matrix form. Zbl 1454.65016
Axelsson, Owe; Liang, Zhao-Zheng; Kruzik, Jakub; Horak, David |
|
2021
|
Krylov improvements of the Uzawa method for Stokes type operator matrices. Zbl 1473.65033
Axelsson, Owe; Karátson, János |
|
2021
|
Efficient iterative solvers for a complex valued two-by-two block linear system with application to parabolic optimal control problems. Zbl 1433.65047
Liang, Zhao-Zheng; Axelsson, Owe; Zhang, Guo-Feng |
|
2020
|
Optimality properties of a square block matrix preconditioner with applications. Zbl 1451.65026
Axelsson, Owe |
|
2020
|
A new iteration and preconditioning method for elliptic PDE-constrained optimization problems. Zbl 1474.65071
Axelsson, Owe; Salkuyeh, Davod Khojasteh |
|
2020
|
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. Zbl 1451.65025
Axelsson, Owe; Karátson, János |
|
2020
|
A new version of a preconditioning method for certain two-by-two block matrices with square blocks. Zbl 07074115
Axelsson, Owe; Salkuyeh, Davod Khojasteh |
|
2019
|
Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040
Axelsson, Owe; Lukáš, Dalibor |
|
2019
|
A note on preconditioning methods for time-periodic eddy current optimal control problems. Zbl 1410.65093
Axelsson, Owe; Liang, Zhao-Zheng |
|
2019
|
A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method. Zbl 1463.65400
Axelsson, Owe; Gustafsson, Ivar |
|
2019
|
Parameter modified versions of preconditioning and iterative inner product free refinement methods for two-by-two block matrices. Zbl 1425.65047
Axelsson, Owe; Liang, Zhao-Zheng |
|
2019
|
A robust structured preconditioner for time-harmonic parabolic optimal control problems. Zbl 1400.49041
Liang, Zhao-Zheng; Axelsson, Owe; Neytcheva, Maya |
|
2018
|
An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036
Axelsson, Owe; Neytcheva, Maya; Ström, Anders |
|
2018
|
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035
Axelsson, Owe; Karátson, János; Magoulès, Fréderic |
|
2018
|
Parallel solution methods and preconditioners for evolution equations. Zbl 1488.65064
Axelsson, Owe; Neytcheva, Maya; Liang, Zhao-Zheng |
|
2018
|
Superlinear convergence of the GMRES for PDE-constrained optimization problems. Zbl 1392.49035
Axelsson, O.; Karátson, J. |
|
2018
|
Preconditioners for time-harmonic optimal control eddy-current problems. Zbl 1476.65215
Axelsson, Owe; Lukáš, Dalibor |
|
2018
|
Low-rank improvements of two-level grid preconditioned matrices. Zbl 1432.65034
Axelsson, Owe; Blaheta, Radim |
|
2018
|
A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control. Zbl 1347.49048
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2017
|
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control. Zbl 1365.65167
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2017
|
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications. Zbl 1458.65025
Axelsson, Owe |
|
2017
|
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Zbl 1353.65059
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya |
|
2016
|
Corrigendum to: “Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems”. Zbl 1464.65030
Axelsson, Owe; Blaheta, Radim |
|
2016
|
A comparison of preconditioning methods for saddle point problems with an application to porous media flow problems. Zbl 1382.76199
Axelsson, Owe; Blaheta, Radim; Hasal, Martin |
|
2016
|
Unified analysis of preconditioning methods for saddle point matrices. Zbl 1363.65047
Axelsson, Owe |
|
2015
|
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 |
|
2015
|
Numerical solution of the time-dependent Navier-Stokes equation for variable density-variable viscosity. I. Zbl 1488.76084
Axelsson, Owe; He, Xin; Neytcheva, Maya |
|
2015
|
Preconditioning methods for high-order strongly stable time integration methods with an application for a DAE problem. Zbl 1374.65135
Axelsson, Owe; Blaheta, Radim; Kohut, Roman |
|
2015
|
Continuation Newton methods. Zbl 1443.65076
Axelsson, Owe; Sysala, Stanislav |
|
2015
|
Editorial: Preconditioning of iterative methods - theory and applications. Zbl 1374.65001
Axelsson, Owe; Blaheta, Radim; Neytcheva, Maya; Pultarová, Ivana |
|
2015
|
A comparison of iterative methods to solve complex valued linear algebraic systems. Zbl 1307.65034
Axelsson, Owe; Neytcheva, Maya; Ahmad, Bashir |
|
2014
|
Reaching the superlinear convergence phase of the CG method. Zbl 1293.65045
Axelsson, O.; Karátson, J. |
|
2014
|
An additive subspace preconditioning method for the iterative solution of some problems with extreme contrasts in coefficients. Zbl 1309.65034
Axelsson, O. |
|
2014
|
Robust preconditioning estimates for convection-dominated elliptic problems via a streamline Poincaré-Friedrichs inequality. Zbl 1312.65182
Axelsson, Owe; Karátson, János; Kovács, Balázs |
|
2014
|
Numerical and computational efficiency of solvers for two-phase problems. Zbl 1319.76025
Axelsson, O.; Boyanova, P.; Kronbichler, M.; Neytcheva, M.; Wu, X. |
|
2013
|
A general approach to analyse preconditioners for two-by-two block matrices. Zbl 1313.65048
Axelsson, Owe; Neytcheva, Maya |
|
2013
|
On the solution of high order stable time integration methods. Zbl 1295.65093
Axelsson, Owe; Blaheta, Radim; Sysala, Stanislav; Ahmad, Bashir |
|
2013
|
Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems. Zbl 1273.65107
Axelsson, Owe; Karátson, János |
|
2013
|
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices. Zbl 1388.74035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr |
|
2012
|
Preconditioners for regularized saddle point matrices. Zbl 1221.65089
Axelsson, O. |
|
2011
|
Preconditioning of matrices partitioned in \(2\times 2\) block form: eigenvalue estimates and Schwarz DD for mixed FEM. Zbl 1240.65090
Axelsson, Owe; Blaheta, Radim |
|
2010
|
Condition number analysis for various forms of block matrix preconditioners. Zbl 1205.65145
Axelsson, Owe; Karátson, János |
|
2010
|
Preconditioning of boundary value problems using elementwise Schur complements. Zbl 1194.65047
Axelsson, Owe; Blaheta, Radim; Neytcheva, Maya |
|
2009
|
Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024
Axelsson, O.; Karátson, J. |
|
2009
|
The local Green’s function method in singularly perturbed convection-diffusion problems. Zbl 1198.65058
Axelsson, Owe; Glushkov, Evgeny; Glushkova, Natalya |
|
2009
|
Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081
Axelsson, Owe; Karátson, János |
|
2007
|
Double Sobolev gradient preconditioning for nonlinear elliptic problems. Zbl 1133.65095
Axelsson, O.; Karátson, J. |
|
2007
|
Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. Zbl 1140.65023
Axelsson, O.; Karátson, J. |
|
2007
|
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080
Axelsson, Owe; Neytcheva, Maya |
|
2006
|
Petrov-Galerkin method with local Green’s functions in singularly perturbed convection-diffusion problems. Zbl 1073.65125
Axelsson, Owe; Glushkov, Evgeny; Glushkova, Natalia |
|
2005
|
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part. Zbl 1054.65028
Axelsson, Owe; Bai, Zhong-Zhi; Qiu, Shou-Xia |
|
2004
|
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043
Axelsson, O.; Karátson, J. |
|
2004
|
Two simple derivations of universal bounds for the CBS inequality constant. Zbl 1099.65103
Axelsson, Owe; Blaheta, Radim |
|
2004
|
Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Zbl 1088.74013
Axelsson, O.; Karátson, J. |
|
2004
|
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1151.65317
Axelsson, Owe |
|
2004
|
Preconditioning methods for linear systems arising in constrained optimization problems. Zbl 1071.65527
Axelsson, Owe; Neytcheva, Maya |
|
2003
|
Iteration number for the conjugate gradient method. Zbl 1018.65036
Axelsson, Owe |
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2003
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Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055
Axelsson, O.; Karátson, J. |
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2003
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A combined method of local Green’s functions and central difference method for singularly perturbed convection-diffusion problems. Zbl 1037.65104
Axelsson, O.; Gololobov, S. V. |
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2003
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On multilevel preconditioners which are optimal with respect to both problem and discretization parameters. Zbl 1039.65078
Axelsson, O.; Margenov, S. |
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2003
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A survey of algebraic multilevel iteration (AMLI) methods. Zbl 1049.65139
Axelsson, Owe |
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2003
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Upper bound of the constant in strengthened C.B.S. inequality for systems of linear partial differential equations. Zbl 1037.65128
Achchab, B.; Achchab, S.; Axelsson, O.; Souissi, A. |
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2003
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Robust preconditioners for saddle point problems. Zbl 1032.65044
Axelsson, Owe; Neytcheva, Maya |
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2003
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On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026
Axelsson, O.; Karátson, J. |
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2002
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Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547
Axelsson, O.; Faragó, I.; Karátson, J. |
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2002
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Finite element solution of boundary value problems. Theory and computation.
Repr. Zbl 0981.65130
Axelsson, O.; Barker, V. A. |
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2001
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Error norm estimation and stopping criteria in preconditioned conjugate gradient iterations. Zbl 1051.65024
Axelsson, Owe; Kaporin, Igor |
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2001
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Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system. Zbl 1050.74043
Achchab, B.; Axelsson, O.; Laayouni, L.; Souissi, A. |
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2001
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Solving the Stokes problem on a massively parallel computer. Zbl 1162.76332
Axelsson, O.; Barker, V. A.; Neytcheva, M.; Polman, B. |
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2001
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Stability and error estimates for the \(\theta\)-method for strongly monotone and infinitely stiff evolution equations. Zbl 0994.65094
Axelsson, O.; Gololobov, S. V. |
|
2001
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An optimal order multilevel preconditioner with respect to problem and discretization parameters. Zbl 1020.65026
Axelsson, Owe; Margenov, Svetozar |
|
2001
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A survey of robust preconditioning methods. Zbl 1010.65020
Axelsson, O. |
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2001
|
On the solution of algebraic systems for serendipity FEM. Zbl 0985.65147
Axelsson, O.; Gurieva, Y. L.; Il’in, V. P. |
|
2001
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Optimal preconditioners based on rate of convergence estimates for the conjugate gradient method. Zbl 0993.65053
Axelsson, Owe |
|
2001
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Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025
Axelsson, Owe; Kucherov, Andrey |
|
2000
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On the sublinear and superlinear rate of convergence of conjugate gradient methods. Zbl 0972.65024
Axelsson, Owe; Kaporin, Igor |
|
2000
|
Generalized augmented matrix preconditioning approach and its application to iterative solution of ill-conditioned algebraic systems. Zbl 0982.65053
Padiy, Alexander; Axelsson, Owe; Polman, Ben |
|
2000
|
On a two-level Newton-type procedure applied for solving non-linear elasticity problems. Zbl 0994.74066
Axelsson, Owe; Padiy, Alexander |
|
2000
|
A survey of a class of algebraic multilevel iteration methods for positive definite symmetric matrices. Zbl 0968.65015
Axelsson, Owe; Vassilevski, Panayot S. |
|
2000
|
A survey of Newton type methods for solving nonlinear boundary value problems. Zbl 1026.65085
Axelsson, O.; Kaporin, I. |
|
2000
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On Newton type continuation methods. Zbl 1084.65514
Axelsson, O. |
|
2000
|
On the additive version of the algebraic multilevel iteration method for anisotropic elliptic problems. Zbl 0940.65034
Axelsson, Owe; Padiy, Alexander |
|
1999
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On iterative solvers in structural mechanics; separate displacement orderings and mixed variable methods. Zbl 1053.74651
Axelsson, Owe |
|
1999
|
Stabilization of algebraic multilevel iteration methods; additive methods. Zbl 0937.65135
Axelsson, Owe |
|
1999
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On a robust and scalable linear elasticity solver based on a saddle point formulation. Zbl 0956.74050
Axelsson, Owe; Padiy, Alexander |
|
1999
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An iterative solution method for Schur complement systems with inexact inner solver. Zbl 0980.65033
Axelsson, Owe; Neytcheva, Maya |
|
1999
|
A unified framework for the construction of various algebraic multilevel preconditioning methods. Zbl 0936.65029
Bai, Zhongzhi; Axelsson, Owe |
|
1999
|
Extrapolated \(\theta\)-methods for nonlinear reaction-diffusion problems. Zbl 0947.65097
Axelsson, O.; Gololobov, S. V.; Laevsky, Yu. M. |
|
1999
|
Special issue: Modelling ’98, 1st IMACS conference on Mathematical modelling and computational methods in mechanics and geodynamics-modelling ’98, held in Prague, Czech Republic, July 7–11, 1998. Zbl 0922.00029
|
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1999
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Minimum residual adaptive multilevel finite element procedure for the solution of nonlinear stationary problems. Zbl 0972.65092
Axelsson, O.; Kaporin, I. E. |
|
1998
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Avoiding slave points in an adaptive refinement procedure for convection-diffusion problems in 2D. Zbl 0921.65072
Axelsson, O.; Nikolova, M. |
|
1998
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An algebraic multilevel iteration method for finite element matrices. Zbl 0941.65036
Axelsson, O.; Larin, M. |
|
1998
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Globally convergent continuation methods for nonlinear equations. Zbl 0912.65045
Axelsson, O. |
|
1998
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Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method. Zbl 0876.35009
Axelsson, O.; Nikolova, M. |
|
1997
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Convergence of inexact Newton-like iterations in incremental finite element analysis of elasto-plastic problems. Zbl 0891.73061
Blaheta, R.; Axelsson, O. |
|
1997
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Inexact Newton solvers in plasticity: theory and experiments. Zbl 0893.73056
Axelsson, O.; Blaheta, R.; Kohut, R. |
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1997
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| ...and 114 more Documents |
