Article

SYSALA, Stanislav; BÉREŠ, Michal; BÉREŠOVÁ, Simona; HASLINGER, Jaroslav; KRUŽÍK, Jakub and LUBER, Tomas. CONVEX OPTIMIZATION PROBLEMS INSPIRED BY GEOTECHNICAL STABILITY ANALYSIS. Online. SIAM journal on optimization. 2025, Vol. 35, no. 3. ISSN 1052-6234. Available from: https://epubs.siam.org/doi/10.1137/25M1723177.
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VODSTRČIL, Petr; LUKÁŠ, Dalibor; DOSTÁL, Zdeněk; SADOWSKÁ, Marie; HORÁK, David; VLACH, Oldřich; BOUCHALA, Jiří and KRUŽÍK, Jakub. On favorable bounds on the spectrum of discretized Steklov-Poincaré operator and applications to domain decomposition methods in 2D. Computers & Mathematics with Applications. 2024, Vol. 167, no. 1, p. 12-20. ISSN 0898-1221.
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STEBEL, Jan; KRUŽÍK, Jakub; HORÁK, David; BREZINA, Jan and BÉREŠ, Michal. On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions. Computers & Structures. 2024, Vol. 298, . ISSN 0045-7949.
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DOSTÁL, Zdeněk; SADOWSKÁ, Marie; HORÁK, David and KRUŽÍK, Jakub. Hybrid TBETI domain decomposition for huge 2D scalar variational inequalities. International Journal for Numerical Methods in Engineering. 2024, Vol. 125, no. 24. ISSN 0029-5981.
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DOSTÁL, Zdeněk; HORÁK, David; KRUŽÍK, Jakub; BRZOBOHATÝ, Tomáš and VLACH, Oldřich. Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. Online. Numerical algorithms. 2022, Vol. 91, no. 2, p. 773-801. ISSN 1017-1398. Available from: https://link.springer.com/article/10.1007/s11075-022-01281-3.
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AXELSSON, Owe; LIANG, Zhao-Zheng; KRUŽÍK, Jakub and HORÁK, David. Inner product free iterative solution and elimination methods for linear systems of a three-by-three block matrix form. Journal of computational and applied mathematics. 2021, Vol. 383, no. 2. ISSN 0377-0427.
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KRUŽÍK, Jakub; HORÁK, David; ČERMÁK, Martin; POSPÍŠIL, Lukáš and PECHA, Marek. Active set expansion strategies in MPRGP algorithm. Advances in Engineering Software. 2020, Vol. 149, no. 11. ISSN 0965-9978.
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KRUŽÍK, Jakub; HORÁK, David; HAPLA, Václav and ČERMÁK, Martin. Comparison of selected FETI coarse space projector implementation strategies. Online. Parallel computing. 2020, Vol. 93, no. 5. ISSN 0167-8191. Available from: https://www.sciencedirect.com/science/article/pii/S0167819120300016.
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CRISCI, Serena; KRUŽÍK, Jakub; PECHA, Marek and HORÁK, David. Comparison of active-set and gradient projection-based algorithms for box-constrained quadratic programming. Soft computing. 2020, Vol. 24, no. 23. ISSN 1432-7643.
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POSPÍŠIL, Lukáš; ČERMÁK, Martin; HORÁK, David and KRUŽÍK, Jakub. Non-monotone projected gradient method in linear elasticity contact problems with given friction. Online. Sustainability. 2020, Vol. 12, no. 20, p. 1-11. ISSN 2071-1050. Available from: https://www.mdpi.com/2071-1050/12/20/8674/htm.
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HORÁK, David; HAPLA, Václav; KRUŽÍK, Jakub; SOJKA, Radim; ČERMÁK, Martin; TOMČALA, Jiří; PECHA, Marek and DOSTÁL, Zdeněk. A note on massively parallel implementation of feti for the solution of contact problems. Advances in Electrical and Electronic Engineering. 2017, Vol. 15, no. 2, p. 230-236. ISSN 1336-1376.
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KRUŽÍK, Jakub and HORÁK, David. Wavelet based deflation of conjugate gradient method. Civil-Comp Proceedings. 2017, Vol. 111, no. 2017-05-26. ISBN 978-1-905088-64-5.
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HORÁK, David; DOSTÁL, Zdeněk; HAPLA, Václav; KRUŽÍK, Jakub; SOJKA, Radim and ČERMÁK, Martin. Projector-less TFETI for contact problems: Preliminary results. Civil-Comp Proceedings. Volume 111. 2017, Vol. 111, no. 2017. ISBN 978-1-905088-64-5.
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ČERMÁK, Martin; HAPLA, Václav; KRUŽÍK, Jakub; MARKOPOULOS, Alexandros and VAŠATOVÁ, Alena. Comparison of different FETI preconditioners for elastoplasticity. Computers & Mathematics with Applications. 2017, Vol. 74, no. 1, p. 96-109. ISSN 0898-1221.
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SCHUCHART, J.; GERNDT, M.; KJELDSBERG, P.G.; LYSAGHT, M.; HORÁK, David; ŘÍHA, Lubomír; GOCHT, A.; SOUROURI, M.; KUMARASWAMY, M.; CHOWDHURY, A.; JAHRE, M.; DIETHELM, K.; BOUIZI, O.; MIAN, U.S.; KRUŽÍK, Jakub; SOJKA, Radim; BESEDA, Martin; KANNAN, V.; BENDIFALLAH, Z.; HACKENBERG, D. and NAGEL, W.E.. The READEX formalism for automatic tuning for energy efficiency. Computing. 2017, Vol. 99, no. 8, p. 1-19. ISSN 0010-485X.
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Conference paper

HRBÁČ, David; KRUŽÍK, Jakub; HORÁK, David and KRUIS, Jaroslav. Node Renumbering Strategies for Efficient Direct Methods in Selected Problems of Soil Mechanics. In: AIP Conference Proceedings. 2023. p. 170012. ISBN 0-000-00000-0.
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HORÁK, David; KRUŽÍK, Jakub; KRUIS, Jaroslav and KOUDELKA, Tomáš. Slip Condition in Slope Stability Analysis Solved by FETI Method. In: AIP Conference Proceedings. Volume 2849. 2023. p. 170011. ISBN 978-0-7354-4589-5.
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DOSTÁL, Zdeněk; BRZOBOHATÝ, Tomáš; HORÁK, David; KRUŽÍK, Jakub and VLACH, Oldřich. Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities. In: Lecture Notes in Computational Science and Engineering. Volume 145. 2022. p. 29-40. ISBN 978-3-030-95024-8.
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KRUŽÍK, Jakub; PECHA, Marek; HAPLA, Václav; HORÁK, David and ČERMÁK, Martin. Investigating convergence of linear SVM implemented in PermonSVM employing MPRGP algorithm. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Volume 11087. 2018. p. 115-129. ISBN 978-3-319-97135-3.
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HORÁK, David; ŘÍHA, Lubomír; SOJKA, Radim; KRUŽÍK, Jakub; BESEDA, Martin; ČERMÁK, Martin and SCHUCHART, J.. Energy consumption optimization of the total-FETI solver by changing the CPU frequency. In: AIP Conference Proceedings. Volume 1863. 2017. ISBN 978-0-7354-1538-6.
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SOJKA, Radim; ŘÍHA, Lubomír; HORÁK, David; KRUŽÍK, Jakub; BESEDA, Martin and ČERMÁK, Martin. THE ENERGY CONSUMPTION OPTIMIZATION OF THE BLAS ROUTINES. In: AIP Conference Proceedings. Volume 1863. 2017. ISBN 978-0-7354-1538-6.
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PAPUGA, Jan; HALAMA, Radim; FUSEK, Martin; ROJÍČEK, Jaroslav; FOJTÍK, František; HORÁK, David; PECHA, Marek; TOMČALA, Jiří; ČERMÁK, Martin; HAPLA, Václav; SOJKA, Radim and KRUŽÍK, Jakub. Efficient Lifetime Estimation Techniques for General Multiaxial Loading. In: AIP Conference Proceedings. Volume 1863. 2017. ISBN 978-0-7354-1538-6.
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HORÁK, David; ŘÍHA, Lubomír; SOJKA, Radim; KRUŽÍK, Jakub and BESEDA, Martin. Energy consumption optimization of the Total-FETI solver and BLAS routines by changing the CPU frequency. In: International Conference on High Performance Computing & Simulation (HPCS). 2016. p. 1031-1032. ISBN 978-1-5090-2088-1.
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Software

HORÁK, David and KRUŽÍK, Jakub. PERMON 3.23. 2025.
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HORÁK, David and KRUŽÍK, Jakub. PERMON 3.24. 2025.
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HORÁK, David and KRUŽÍK, Jakub. PCDEFLATION for PETSc 3.24. 2025.
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HORÁK, David and KRUŽÍK, Jakub. PERMON 3.21. 2024.
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HORÁK, David and KRUŽÍK, Jakub. PERMON 3.22. 2024.
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HORÁK, David; KRUŽÍK, Jakub and PECHA, Marek. PERMON 3.19. 2023.
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HORÁK, David; KRUŽÍK, Jakub and PECHA, Marek. PERMON 3.20. 2023.
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