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  1. 1.
    0579562 - ÚGN 2025 RIV US eng J - Journal Article
    Karátson, J. - Sysala, Stanislav - Béreš, Michal
    Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D.
    Numerical Linear Algebra with Applications. Roč. 31, č. 3 (2024), č. článku e2537. ISSN 1070-5325. E-ISSN 1099-1506
    Institutional support: RVO:68145535
    Keywords : deflated conjugate gradient * mesh independence * nonlinear elasticity * preconditioning * Quasi-Newton methods
    OECD category: Applied mathematics
    Impact factor: 4.3, year: 2022
    Method of publishing: Open access
    https://onlinelibrary.wiley.com/doi/10.1002/nla.2537
    Permanent Link: https://hdl.handle.net/11104/0348374
     
     
  2. 2.
    0579035 - ÚGN 2024 RIV US eng J - Journal Article
    Axelsson, Owe - Karátson, J. - Magoulès, F.
    Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners.
    SIAM Journal on Numerical Analysis. Roč. 61, č. 2 (2023), s. 1057-1079. ISSN 0036-1429. E-ISSN 1095-7170
    Institutional support: RVO:68145535
    Keywords : Krylov iteration * preconditioning * noncoercive operators * mesh independence * shifted Laplace
    OECD category: Applied mathematics
    Impact factor: 2.9, year: 2022
    Method of publishing: Limited access
    https://epubs.siam.org/doi/10.1137/21M1466955
    Permanent Link: https://hdl.handle.net/11104/0347919
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    UGN_0579035.pdf21.3 MBOtherrequire
     
     
  3. 3.
    0549525 - ÚGN 2022 RIV DE eng J - Journal Article
    Axelsson, Owe - Karátson, J.
    Krylov improvements of the Uzawa method for Stokes type operator matrices.
    Numerische Mathematik. Roč. 148, č. 3 (2021), s. 611-631. ISSN 0029-599X. E-ISSN 0945-3245
    EU Projects: European Commission(XE) 847593 - EURAD
    Institutional support: RVO:68145535
    Keywords : Krylov type modifications * superlinear convergence * preconditioners * Uzawa method
    OECD category: Applied mathematics
    Impact factor: 2.500, year: 2021
    Method of publishing: Open access
    https://link.springer.com/article/10.1007%2Fs00211-021-01208-5
    Permanent Link: http://hdl.handle.net/11104/0325522
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    UGN_0549525.pdf3349 KBOtheropen-access
     
     
  4. 4.
    0534464 - ÚGN 2021 RIV DE eng J - Journal Article
    Axelsson, Owe - Karátson, J.
    Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks.
    Numerische Mathematik. Roč. 146, č. 2 (2020), s. 335-368. ISSN 0029-599X. E-ISSN 0945-3245
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : preconditioner * PRESB method * superlinear convergence
    OECD category: Applied mathematics
    Impact factor: 2.223, year: 2020
    Method of publishing: Open access
    https://link.springer.com/article/10.1007%2Fs00211-020-01143-x
    Permanent Link: http://hdl.handle.net/11104/0312653
    FileDownloadSizeCommentaryVersionAccess
    UGN_0534464.pdf2374.8 KBPublisher’s postprintopen-access
     
     
  5. 5.
    0495405 - ÚGN 2019 RIV US eng J - Journal Article
    Axelsson, Owe - Karátson, J.
    Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems.
    Numerical Functional Analysis and Optimization. Roč. 39, č. 9 (2018), s. 921-936. ISSN 0163-0563. E-ISSN 1532-2467
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : optimal control * preconditioners * superlinear convergence
    OECD category: Applied mathematics
    Impact factor: 0.822, year: 2018
    https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1431928?scroll=top&needAccess=true
    Permanent Link: http://hdl.handle.net/11104/0288402
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    UGN_0495405.pdf1463.9 KBOtherrequire
     
     
  6. 6.
    0495401 - ÚGN 2019 RIV NL eng J - Journal Article
    Axelsson, Owe - Karátson, J. - Magoulès, F.
    Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations.
    Journal of Computational and Applied Mathematics. Roč. 340, October 2018 (2018), s. 424-431. ISSN 0377-0427. E-ISSN 1879-1778
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : Helmholtz equations * iterative solution * preconditioning * mesh-independent superlinear convergence
    OECD category: Applied mathematics
    Impact factor: 1.883, year: 2018
    https://www.sciencedirect.com/science/article/pii/S037704271830058X
    Permanent Link: http://hdl.handle.net/11104/0288391
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    UGN_0495401.pdf1326.5 KBOtherrequire
     
     
  7. 7.
    0482329 - ÚGN 2018 RIV NL eng J - Journal Article
    Axelsson, Owe - Karátson, J.
    Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part.
    Journal of Computational and Applied Mathematics. Roč. 210, January 2017 (2017), s. 155-164. ISSN 0377-0427. E-ISSN 1879-1778
    Institutional support: RVO:68145535
    Keywords : finite difference method * error estimates * matrix splitting * preconditioning
    OECD category: Applied mathematics
    Impact factor: 1.632, year: 2017
    http://www.sciencedirect.com/science/article/pii/S0377042716301492?via%3Dihub
    Permanent Link: http://hdl.handle.net/11104/0277746
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    UGN_0482329.pdf0434.7 KBAuthor’s postprintrequire
     
     
  8. 8.
    0438751 - ÚGN 2015 RIV NL eng J - Journal Article
    Axelsson, Owe - Karátson, J.
    Reaching the superlinear convergence phase of the CG method.
    Journal of Computational and Applied Mathematics. Roč. 260, č. 260 (2014), s. 244-257. ISSN 0377-0427. E-ISSN 1879-1778
    R&D Projects: GA MŠMT ED1.1.00/02.0070
    Institutional support: RVO:68145535
    Keywords : superlinear convergence * conjugate gradient method * eigenvalues
    Subject RIV: BA - General Mathematics
    Impact factor: 1.266, year: 2014
    http://www.sciencedirect.com/science/article/pii/S0377042713005451
    Permanent Link: http://hdl.handle.net/11104/0242127
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    UGN_0438751.pdf0796.5 KBAuthor’s postprintopen-access
     
     
  9. 9.
    0438696 - ÚGN 2015 RIV US eng J - Journal Article
    Axelsson, Owe - Karátson, J. - Kovács, B.
    Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality.
    SIAM Journal on Numerical Analysis. Roč. 52, č. 6 (2014), s. 2957-2976. ISSN 0036-1429. E-ISSN 1095-7170
    R&D Projects: GA MŠMT ED1.1.00/02.0070
    Institutional support: RVO:68145535
    Keywords : streamline diffusion finite element method * solving convection-dominated elliptic problems * convergence is robust
    Subject RIV: BA - General Mathematics
    Impact factor: 1.788, year: 2014
    http://epubs.siam.org/doi/abs/10.1137/130940268
    Permanent Link: http://hdl.handle.net/11104/0242105
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    UGN_0438696.pdf5314.2 KBPublisher’s postprintrequire
     
     
  10. 10.
    0438526 - ÚGN 2015 RIV NL eng J - Journal Article
    Axelsson, Owe - Blaheta, Radim - Byczanski, Petr - Karátson, J. - Ahmad, B.
    Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems.
    Journal of Computational and Applied Mathematics. Roč. 280, č. 280 (2015), s. 141-157. ISSN 0377-0427. E-ISSN 1879-1778
    R&D Projects: GA MŠMT ED1.1.00/02.0070
    Institutional support: RVO:68145535
    Keywords : preconditioners * heterogeneous coefficients * regularized saddle point Inner–outer iterations * Darcy flow
    Subject RIV: BA - General Mathematics
    Impact factor: 1.328, year: 2015
    http://www.sciencedirect.com/science/article/pii/S0377042714005238
    Permanent Link: http://hdl.handle.net/11104/0241945
    FileDownloadSizeCommentaryVersionAccess
    UGN_0438526.pdf7747.8 KBAuthor’s postprintopen-access
     
     

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