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  1. 1.
    0584471 - ÚGN 2025 RIV US eng J - Journal Article
    Luber, Tomáš - Sysala, Stanislav
    Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material.
    Numerical Linear Algebra with Applications. Roč. 31, č. 3 (2024), č. článku e2546. ISSN 1070-5325. E-ISSN 1099-1506
    EU Projects: European Commission(XE) 847593 - EURAD
    Institutional support: RVO:68145535
    Keywords : mixed finite elements * poroelasticity * preconditioning * Schur complement
    OECD category: Applied mathematics
    Impact factor: 4.3, year: 2022
    Method of publishing: Open access
    https://onlinelibrary.wiley.com/doi/full/10.1002/nla.2546
    Permanent Link: https://hdl.handle.net/11104/0352382
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    UGN_0584471.pdf01.9 MBOtherrequire
     
     
  2. 2.
    0565074 - ÚGN 2023 CZ eng D - Thesis
    Luber, Tomáš
    Efficient iterative methods and solvers for FEM analysis.
    Ústav geoniky AV ČR, v. v. i. Defended: Fakulta elektrotechniky a informatiky, VŠB-TUO. 29.06.2022. - Ostrava: VŠB - Technická univerzita Ostrava, 2022. 82 s.
    Institutional support: RVO:68145535
    Keywords : numerical mathematics * poroelasticity * mixed finite elements * preconditioning * Schur complement
    OECD category: Applied mathematics
    Permanent Link: https://hdl.handle.net/11104/0336620
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    UGN_0565074.pdf11.9 MBOtheropen-access
     
     
  3. 3.
    0556739 - ÚGN 2023 RIV NL eng J - Journal Article
    Liang, Z.-Z. - Axelsson, Owe
    Exact inverse solution techniques for a class of complex valued block two-by-two linear systems.
    Numerical Algorithms. Roč. 90, August 2021 (2022), s. 79-98. ISSN 1017-1398. E-ISSN 1572-9265
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : complex linear systems * schur complement * matrix factorization * time-harmonic parabolic equation
    OECD category: Applied mathematics
    Impact factor: 2.1, year: 2022
    Method of publishing: Limited access
    https://link.springer.com/content/pdf/10.1007/s11075-021-01180-z.pdf
    Permanent Link: http://hdl.handle.net/11104/0330901
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    UGN_0556739.pdf1432.8 KBOtherrequire
     
     
  4. 4.
    0495392 - ÚGN 2019 RIV NL eng J - Journal Article
    Axelsson, Owe - Blaheta, Radim
    Low-rank improvements of two-level grid preconditioned matrices.
    Journal of Computational and Applied Mathematics. Roč. 340, č. 1 (2018), s. 432-442. ISSN 0377-0427. E-ISSN 1879-1778
    R&D Projects: GA MŠMT LQ1602; GA MŠMT LD15105
    Institutional support: RVO:68145535
    Keywords : two-level grids * approximate Schur complement inverse * low-rank correction * parallelizable methods
    OECD category: Applied mathematics
    Impact factor: 1.883, year: 2018
    https://www.sciencedirect.com/science/article/pii/S0377042717304582
    Permanent Link: http://hdl.handle.net/11104/0288379
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    UGN_0495392.pdf101.4 MBOtherrequire
     
     
  5. 5.
    0484833 - ÚGN 2018 RIV CZ eng J - Journal Article
    Blaheta, Radim - Luber, Tomáš
    Algebraic preconditioning for Biot-Barenblatt poroelastic systems.
    Applications of Mathematics. Roč. 62, č. 6 (2017), s. 561-577. ISSN 0862-7940. E-ISSN 1572-9109
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : poroelasticity * double permeability * preconditioning * Schur complement
    OECD category: Applied mathematics
    Impact factor: 0.897, year: 2017
    Method of publishing: Limited access
    https://link.springer.com/content/pdf/10.21136%2FAM.2017.0179-17.pdf
    Permanent Link: http://hdl.handle.net/11104/0279963
    FileDownloadSizeCommentaryVersionAccess
    UGN_0484833.pdf6195.7 KBAuthor’s postprintrequire
     
     
  6. 6.
    0482832 - ÚGN 2018 RIV CZ eng J - Journal Article
    Axelsson, Owe
    Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications.
    Applications of Mathematics. Roč. 62, č. 6 (2017), s. 537-559. ISSN 0862-7940. E-ISSN 1572-9109.
    [SNA´17 - Seminar on numerical analysis. Ostrava, 30.01.2017-03.02.2017]
    Institutional support: RVO:68145535
    Keywords : preconditioning * Schur complement * transformation * optimal control * implicit time integration
    OECD category: Applied mathematics
    Impact factor: 0.897, year: 2017
    http://articles.math.cas.cz/10.21136/AM.2017.0222-17/?type=F
    Permanent Link: http://hdl.handle.net/11104/0278232
     
     
  7. 7.
    0459128 - ÚJF 2017 RIV US eng J - Journal Article
    Ibrogimov, O. O. - Siegl, Petr - Tretter, C.
    Analysis of the essential spectrum of singular matrix differential operators.
    Journal of Differential Equations. Roč. 260, č. 4 (2016), s. 3881-3926. ISSN 0022-0396. E-ISSN 1090-2732
    Institutional support: RVO:61389005
    Keywords : essential spectrum * system of singular differential equations * operator matrix * Schur complement * magnetohydrodynamics * Stellar equilibrium model
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.988, year: 2016
    Permanent Link: http://hdl.handle.net/11104/0259370
     
     
  8. 8.
    0404551 - UIVT-O 20010170 RIV DE eng C - Conference Paper (international conference)
    Maryška, Jiří - Rozložník, Miroslav - Tůma, Miroslav
    Primal vs. Dual Variable Approach for Mixed-Hybrid Finite Element Approximation of the Potential Fluid Flow Problem in Porous Media.
    Large-Scale Scientific Computing. Berlin: SpringerVerlag, 2001 - (Margenov, S.; Wasniewski, J.; Yalamov, P.), s. 417-424. Lecture Notes in Computer Science, 2179. ISBN 3-540-43043-1. ISSN 0302-9743.
    [LSSC International Conference /3./. Sozopol (BG), 06.06.2001-10.06.2001]
    R&D Projects: GA ČR GA101/00/1035; GA AV ČR IAA1030103
    Institutional research plan: AV0Z1030915
    Keywords : mixed-hybrid element discretization * potential fluid flow * Schur complement methods * large sparse linear systems
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0124800
     
     
  9. 9.
    0404007 - UIVT-O 20000145 RIV SK eng C - Conference Paper (international conference)
    Maryška, Jiří - Rozložník, Miroslav - Tůma, Miroslav
    Solution of Augmented Systems from a Mixed-Hybrid Finite Element Discretization of the Potential Fluid Flow Problem: Asymptotic Rates of Convergence.
    ALGORITMY 2000. Bratislava: Vydavateĺstvo STU, 2000 - (Handlovičová, A.; Komorníková, M.; Mikula, K.; Ševčovič, D.), s. 100-109. ISBN 80-227-1391-0.
    [ALGORITMY 2000. Conference on Scientific Computing /15./. Podbanské (SK), 10.09.2000-15.09.2000]
    R&D Projects: GA ČR GA201/98/P108; GA ČR GA101/00/1035; GA ČR GA201/00/0080
    Institutional research plan: AV0Z1030915
    Keywords : potential fluid flow problem * mixed-hybrid finite element approximation * symmetric indefinite linear systems * iterative solution * Schur complement system * null-space method * conjugate gradient-type methods * asymptotic rate of convergence
    Subject RIV: BA - General Mathematics
    Permanent Link: http://hdl.handle.net/11104/0124288
    FileDownloadSizeCommentaryVersionAccess
    a0404007.pdf0166.9 KBPublisher’s postprintopen-access
     
     
  10. 10.
    0403934 - UIVT-O 20000083 RIV US eng J - Journal Article
    Fiedler, Miroslav - Markham, T. L.
    Generalized Totally Positive Matrices.
    Linear Algebra and Its Applications. Roč. 306, - (2000), s. 87-102. ISSN 0024-3795. E-ISSN 1873-1856
    R&D Projects: GA AV ČR IAA1030701
    Institutional research plan: AV0Z1030915
    Keywords : totally positive matrix * factorization * bidiagonal matrix * totally nonsingular matrix * Schur complement * ring with identity
    Subject RIV: BA - General Mathematics
    Impact factor: 0.491, year: 2000
    Permanent Link: http://hdl.handle.net/11104/0124220
     
     

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