Contact information

Research and professional activities

Education

Teaching

Skills and competences

• Advanced knowledge: BASH, C++, MATLAB, LaTeX, Ansys APDL, Scia Engineer, CPLEX, Gurobi, MOSEK, Autodesk AutoCAD, Microsoft Office, LibreOffice, HTML, CSS
• Basic knowledge: Python, MeshLab, Blender, PHP
• Languages: English (B2–First Certificate in English), Czech (native), German (B1)

Awards and achievements

• Best Junior Paper Award 2023 for the paper “ Bounded Wang tilings with integer programming and graph-based heuristics” awarded by Institute of Information Theory and Automation
• Joseph Fourier Prize for Computer Sciences 2022 – Special Prize IT4Innovations awarded by Embassy of France in the Czech Republic, Atos and IT4Innovations
• Prof. Babuška honorable mention for excellent work in computational sciences for doctoral thesis
• Rector’s Prize 2021 for an outstanding doctoral dissertation
• Nomination for the JEC2019 Innovation Awards in the additive manufacturing category for the Optimised 3D-printed internal beam structure (third place)
• Named acknowledgment in Donald Knuth’s The Art of Programming, Volume 4, Fascicle 5c: Dancing Links for discovering a redundant tile in Knuth’s aperiodic tile set of 92 tiles, which was originally published within The Art of Programming, Volume 1: Fundamental Algorithms in 1968
• Prof. Babuška honorable mention for excellent work in computational sciences for diploma thesis
• Prof. Bechyně Prize for the best diploma thesis in the Theory of Structures and Materials Engineering category
• Dean’s honorable mention for excellent elaboration and defense of diploma thesis
• Dean’s honorable mention for excellent elaboration and defense of bachelor thesis
• Winner of the SVOČ 2015 Student Research and Professional Activities competition in the field of structural mechanics

Journal articles

• M. Tyburec, M. Kočvara, M. Handa, and J. Zeman, Global weight optimization of frame structures under free-vibration eigenvalue constraints, 2024, arXiv: 2405.08894 [preprint]
• M. Handa, M. Tyburec, and M. Kočvara, Term-sparse polynomial optimization for the design of frame structures, 2024, doi: 10.13140/RG.2.2.21116.55681 [preprint]
• S. Ma, J. Mareček, V. Kungurtsev, and M. Tyburec, Truss topology design under harmonic loads: Peak power minimization with semidefinite programming, 2024, arXiv: 2401.16175 [preprint]
• M. Tyburec, M. Doškář, M. Somr, M. Kružík, and J. Zeman, Modular-topology optimization for additive manufacturing of reusable mechanisms, 2023a, doi: 10.13140/RG.2.2.29545.26724 [preprint]
• M. Tyburec, M. Kočvara, and M. Kružík, Global weight optimization of frame structures with polynomial programming, Structural and Multidisciplinary Optimization, 66(12):257, 2023b, doi: 10.1007/s00158-023-03715-5
• M. Tyburec and J. Zeman, Bounded Wang tilings with integer programming and graph-based heuristics, Scientific Reports, 13(1), 2023, doi: 10.1038/s41598-023-31786-3
• M. Tyburec, M. Doškář, J. Zeman, and M. Kružík, Modular-topology optimization of structures and mechanisms with free material design and clustering, Computer Methods in Applied Mechanics and Engineering, 395:114977, 2022a, doi: 10.1016/j.cma.2022.114977
• M. Tyburec, J. Zeman, M. Kružík, and D. Henrion, Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy, Structural and Multidisciplinary Optimization, 64(4):1963–1981, 2021b, doi: 10.1007/s00158-021-02957-5
• M. Tyburec, J. Zeman, M. Doškář, M. Kružík, and M. Lepš, Modular-topology optimization with Wang tilings: An application to truss structures, Structural and Multidisciplinary Optimization, 63(3): 1099–1117, 2020a, doi: 10.1007/s00158-020-02744-8
• M. Tyburec, J. Zeman, J. Novák, M. Lepš, T. Plachý, and R. Poul, Designing modular 3D printed reinforcement of wound composite hollow beams with semidefinite programming, Materials & Design, 183:108131, 2019b, doi: 10.1016/j.matdes.2019.108131

Invited talks

• M. Tyburec and R. Poul, Optimized 3D-printed internal structure of CFRP beams, Workshop Mathematics in Industry, Institute of Mathematics, Czech Academy of Sciences, 2021
• M. Tyburec, Global optimality in minimum-compliance topology optimization by moment-sum-of-squares hierarchy, MA4M: Mathematical analysis for mechanics, online, 2020b
• M. Tyburec, Topology optimization of discrete structures by semidefinite programming, Optimisation and numerical analysis seminar, University of Birmingham, 2019a
• M. Tyburec, Topology optimization of discrete structures by semidefinite programming, Nečas seminar of continuum mechanics, Faculty of Mathematics and Physics, Charles University, 2019b

Conferences and abstracts

• M. Tyburec, Weight minimization of frame structures under free-vibration eigenvalue constraints with polynomial optimization, In 33rd European conference on Operational Research, Copenhagen. The Association of European Operational Research Societies, 2024a
• M. Tyburec, Global topology optimization of bending resistant structures with continuous cross-section parametrization, In 1st CEACM Conference on Synergy between Multiphysics/Multiscale Modeling and Machine Learning. Central European Association for Computational Mechanics, 2024b
• M. Tyburec, Global minimum-weight design of frame structures with polynomial optimization, In The 15th World Congress of Structural and Multidisciplinary Optimization, Book of Abstracts. International Society for Structural and Multidisciplinary Optimization, 2023
• M. Tyburec, M. Doškář, J. Zeman, and M. Kružík, Modular-topology optimization of structures and mechanisms: A free-material optimization-based heuristics, ECCOMAS 2022, Oslo, Norway, 2022b
• M. Tyburec, J. Zeman, M. Kružík, and D. Henrion, Topology optimization of discrete structures by polynomial optimization, EurOpt 2021, Ecole Nationale de l’Aviation Civile, Toulouse, France, 2021c, [link]
• M. Tyburec, J. Zeman, M. Kružík, and D. Henrion, Global optimality in minimum compliance topology optimization of frame and shell structures, In The 14th World Congress of Structural and Multidisciplinary Optimization, Book of Abstracts. International Society for Structural and Multidisciplinary Optimization, 2021d
• M. Tyburec, J. Zeman, M. Kružík, and D. Henrion, Global minimum-compliance optimization of frame and shells, VI ECCOMAS Young Investigators Conference, Valencia, Spain, 2021e
• M. Tyburec, Robotická “stavebnice”: Navíjené kompozitní nosníky, Tecnicall, 01:32, 2020a, [link]
• M. Tyburec, J. Zeman, M. Kružík, and D. Henrion, On optimum design of frame structures, In NMM2019: Nano & Macro Mechanics 2019, volume 26, page 117–125, Prague, 2020b. Czech Technical University in Prague, doi: 10.14311/app.2020.26.0117
• M. Tyburec, J. Zeman, J. Novák, M. Lepš, T. Plachý, and R. Poul, 3D-printed internal structure for composite beams by semidefinite programming, In ISCAMI 2019, Book of Abstracts, Prague, 2019c. Czech Technical University in Prague, Faculty of Civil Engineering
• M. Tyburec, J. Zeman, J. Novák, and R. Poul, Optimised 3D-printed internal beam structure, JEC Composites Magazine, 56(127):115, 2019d
• M. Tyburec and R. Poul, Vnitřní struktury navíjených kompozitních nosníků, Pražská technika, 01: 14, 2019, [link]
• M. Tyburec, J. Zeman, and M. Lepš, Optimization of modular truss structures composed of Wang tiles, In The 13th World Congress of Structural and Multidisciplinary Optimization, Book of Abstracts. International Society for Structural and Multidisciplinary Optimization, 2019a
• M. Tyburec, J. Zeman, M. Lepš, J. Novák, and R. Poul, Wound composite beam internal structure optimization, In Engineering Mechanics 2018, Book of Full Texts, page 873–876, Prague, 2018a. Institute of Theoretical and Applied Mechanics, Czech Academy of Sciences, doi: 10.21495/91-8-873
• M. Tyburec, J. Zeman, M. Lepš, M. Somr, T. Plachý, J. Novák, and R. Poul, Minimum-weight truss reinforcement of a composite beam to increase the free-vibrations fundamental eigenfrequency, In Special Concrete and Composites 2017, volume 760 of Key Engineering Materials, page 219–224, Zürich, 2018b. Transtech Publications, doi: 10.4028/www.scientific.net/KEM.760.219
• M. Tyburec and J. Zeman, Optimization-based approach to tiling finite areas with arbitrary sets of Wang tiles, In NMM2017: Nano & Macro Mechanics 2017, volume 13, page 135–141, Prague, 2017b. Czech Technical University in Prague, doi: 10.14311/APP.2017.13.0135
• M. Tyburec and J. Zeman, Comparison of semidefinite solvers for topology optimization of cantilever trusses subject to fundamental eigenvalue constraint, In Modern Methods of Experimental and Computational Investigations in Area of Construction II, page 172–177, Pfaffikon, 2017a. Transtech Publications, doi: 10.4028/www.scientific.net/AMR.1144.172
• M. Tyburec and M. Lepš, Global topology weight optimization of 52-bar benchmark truss with discrete cross-sections, In Engineering Mechanics 2016, Book of Full Texts, page 558–561, Prague, 2016. Institute of Theoretical and Applied Mechanics, Czech Academy of Sciences

Poster presentations

• M. Tyburec, M. Doškář, J. Zeman, and M. Kružík, Modular-topology optimization with Wang tilings: Free-material-optimization-based heuristics, GAMM Junior’s Summer School 2021 on Shape and Topology Optimization, Austria, Graz, 2021a
• M. Tyburec, J. Zeman, M. Doškář, M. Lepš, and J. Novák, Modular-topology optimization of truss structures composed of Wang tiles, Topology optimization: Theory, methods, and applications, Denmark, Copenhagen, 2017

Service to the community

Professional training

• Topology optimization: Theory, methods, and applications (Denmark, DTU, 2017)
• Summer school of mechanics of composite materials and structures (Czech Republic, 2017)
• Linear matrix inequalities with applications in control (Faculty of Electrical Engineering, CTU in Prague, 2018)
• Combinatorial optimization (Faculty of Electrical Engineering, CTU in Prague, 2018)
• Numerical optimization (Faculty of Mathematics and Physics, Charles University, 2018)
• Modeling of localized inelastic deformation (Faculty of Civil Engineering, CTU in Prague, 2018)
• Mechanics of composite materials (Faculty of Mechanical Engineering, CTU in Prague, 2018)
• Micromechanics and description of material microstructure (Faculty of Civil Engineering, CTU in Prague, 2018)
• Numerical methods in mechanics 1 and 2 (Faculty of Civil Engineering, CTU in Prague, 2017–2018)
• OOFEM training course (Faculty of Civil Engineering, CTU in Prague, 2018)
• Scientific writing (National Library of Technology, 2018)
• GAMM junior’s summer school 2021 on shape and topology optimization (Graz, Austria, 2021)

Funding records

• MŠMT 8J24DE005 Free-material optimization for manufacturable modular structures, mobility support project (Czech Republic, Germany), principal investigator
• GAČR 22-15524S Polynomial optimization in the design of globally optimal frame structures under dynamic loads, project team member
• GAČR 21-06569K Scales and shapes in continuum thermomechanics, project team member
• Initiation fund, scholarship awarded by Faculty of Civil Engineering, CTU in Prague (amount granted 40 000 CZK)
• SGS 21/039/OHK1/1T/11 Global optimality in minimum-compliance topology optimization of frames and shells: Undamped harmonic vibrations, principal investigator of internal student CTU project (amount granted 126 000 CZK)
• SGS 19/033/OHK1/1T/11 Design toolchain for modular structures: Accelerated optimization and stochastic analysis, principal investigator of internal student CTU project (amount granted 820 000 CZK)
• GAČR 19-26143X Non-periodic pattern-forming metamaterials: Modular design and fabrication, project team member
• TAČR TH02020420 Hierarchical additive fabrication of composite components with functionally oriented filling, project team member
• Multi-objective optimization of proton therapy treatment plan, scholarship awarded by CTU MediaLab (amount granted 70 000 CZK)

International stays

• Three-week stay at University of Birmingham (Prof. Michal Kočvara)
• One-week stay at Friedrich-Alexander-Universität Erlangen-Nürnberg (Prof. Michael Stingl, Prof. Giovanni Fantuzzi)