doc. Mgr. Jan Stebel, Ph.D.

doc. Mgr. Jan Stebel, Ph.D.
Institute of New Technologies and Applied Informatics (NTI): Academic staff

E-mail:: jan.stebel@tul.cz
Office:: A03002
Tel.:: +420 48535 3651

Specialisation

Research topics

Partial differential equations (mathematical theory and numerical methods)
Numerical simulations of flow, transport and deformation of porous medium
Navier-Stokes equations and their generalizations
Shape optimization

Projects

2019 - 2022 Prediction of properties of EDZ with impact on safety and reliability of deep repository of radioactive waste (TK02010118, TAČR, research team member)
2018 - 2022 Software for complex and stochastic hydrogeological models (TH03010227, TAČR, research team member)
2013 – 2017 Student grant scheme of FM TUL
Principal investigator of 2 projects with total budget 7,5 mil. CZK
2009 – 2013 Mathematical and computer analysis of evolution processes in nonlinear viscoelastic fluids (GA 201/09/0917, GAČR, co-principal investigator at MÚ AV ČR)
total budget 10,6 mil. CZK

Teaching (Academic year 2021/2022)

Linear algebra and discrete mathematics (lectures)
Finite element method (lectures)
Numerical methods in flow and transport (lectures, exercises)

Achieved education

Mgr. (equivalent of MSc., Charles University in Prague, Faculty of Mathematics and Physics, 2004)
Ph.D. (Charles University in Prague, Faculty of Mathematics and Physics, 2007)
doc. (associate professor, Faculy of mechatronics, TU of Liberec, 2019)

Other appointments

Personal web: http://astra.nti.tul.cz/~jan.stebel

Publications in journals with impact factor

Salač, P., Stebel, J. Shape optimization for a time-dependent model of a carousel press in glass production. Applications of Mathematics, 64 (2), pp. 195-224, 2019, DOI: 10.21136/AM.2019.0301-18.
Haslinger, J., Mäkinen, R.A.E., Stebel, J. Shape optimization for Stokes problem with threshold slip boundary conditions. Discrete and Continuous Dynamical Systems - Series S, 10 (6), pp. 1281-1301, 2017. DOI: 10.3934/dcdss.2017069
Haslinger, J., Stebel, J. Stokes problem with a solution dependent slip bound: Stability of solutions with respect to domains. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 96 (9), pp. 1049-1060, 2016. DOI: 10.1002/zamm.201500117
Lukáčová-Medviďová, M., Mizerová, H., She, B., Stebel, J. Error analysis of finite element and finite volume methods for some viscoelastic fluids. Journal of Numerical Mathematics, 24 (2), pp. 105-123, 2016. DOI: 10.1515/jnma-2014-0057
Giusti, S.M., Sokołowski, J., Stebel, J. On Topological Derivatives for Contact Problems in Elasticity. Journal of Optimization Theory and Applications, 165 (1), pp. 279-294, 2015. DOI: 10.1007/s10957-014-0594-7
Sokołowski, J., Stebel, J. Shape optimization for non-Newtonian fluids in time-dependent domains. Evolution Equations and Control Theory, 3 (2), pp. 331-348, 2014. DOI: 10.3934/eect.2014.3.331
Haslinger, J., Stebel, J., Sassi, T. Shape optimization for Stokes problem with threshold slip. Applications of Mathematics, 59 (6), pp. 631-652, 2014. DOI: 10.1007/s10492-014-0077-z
Feireisl, E., Kreml, O., Nečasová, Š., Neustupa, J., Stebel, J. Incompressible limits of fluids excited by moving boundaries. SIAM Journal on Mathematical Analysis, 46 (2), pp. 1456-1471, 2014. DOI: 10.1137/130916916
Feireisl, E., Karper, T., Kreml, O., Stebel, J. Stability with respect to domain of the low Mach number limit of compressible viscous fluids. Mathematical Models and Methods in Applied Sciences, 23 (13), pp. 2465-2493, 2013. DOI: 10.1142/S0218202513500371
Feireisl, E., Kreml, O., Nečasová, T., Neustupa, J., Stebel, J. Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. Journal of Differential Equations, 254 (1), pp. 125-140, 2013. DOI: 10.1016/j.jde.2012.08.019
Hirn, A., Lanzendörfer, M., Stebel, J. Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity. IMA Journal of Numerical Analysis, 32 (4), pp. 1604-1634, 2012. DOI: 10.1093/imanum/drr033
Stebel, J. On shape stability of incompressible fluids subject to Navier's slip condition. Journal of Mathematical Fluid Mechanics, 14 (3), pp. 575-589, 2012. DOI: 10.1007/s00021-011-0086-6
Lanzendörfer, M., Stebel, J. On a mathematical model of journal bearing lubrication. Mathematics and Computers in Simulation, 81 (11), pp. 2456-2470, 2011. DOI: 10.1016/j.matcom.2011.03.011
Lanzendörfer, M., Stebel, J. On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities. Applications of Mathematics, 56 (3), pp. 265-285, 2011. DOI: 10.1007/s10492-011-0016-1
Haslinger, J., Stebel, J. Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation. Applied Mathematics and Optimization, 63 (2), pp. 277-308, 2011. DOI: 10.1007/s00245-010-9121-x
Feireisl, E., Neustupa, J., Stebel, J. Convergence of a Brinkman-type penalization for compressible fluid flows. Journal of Differential Equations, 250 (1), pp. 596-606, 2011. DOI: 10.1016/j.jde.2010.09.031
Bulíček, M., Haslinger, J., Málek, J., Stebel, J. Shape optimization for Navier-Stokes equations with algebraic turbulence model: Existence analysis. Applied Mathematics and Optimization, 60 (2), pp. 185-212, 2009. DOI: 10.1007/s00245-009-9066-0
Stebel, J., Mäkinen, R.A.E., Toivanen, J.I. Optimal shape design in a fibre orientation model. Applications of Mathematics, 52 (5):391-405, 2007. DOI: 10.1007/s10492-007-0022-5.

Publications in international peer-reviewed journals

Sokołowski, J., Stebel, J. Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids. Control and Cybernetics, 40 (4), pp. 1077-1097, 2011. URL: http://control.ibspan.waw.pl:3000/contents/export?filename=2011-4-10_Sokolowski_Stebel.pdf
Haslinger, J., Málek, J., Stebel, J. Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Control and Cybernetics, 34 (1):283-303, 2005. URL: http://matwbn.icm.edu.pl/ksiazki/cc/cc34/cc34113.pdf

Publications in proceedings of international conferences

Březina, J., Stebel, J. Analysis of model error for a continuum-fracture model of porous media flow. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 9611, pp. 152-160, 2016. DOI: 10.1007/978-3-319-40361-8_11
Giusti, S.M., Sokołowski, J., Stebel, J. Topology design of elastic structures for a contact model. In Lecture Notes in Computational Science and Engineering, 101, pp. 203-220, 2014. DOI: 10.1007/978-3-319-08025-3__6
Sokołowski, J., Stebel, J. Shape sensitivity analysis of incompressible non-Newtonian fluids. In IFIP Advances in Information and Communication Technology, 391 AICT, pp. 427-436, 2013. DOI: 10.1007/978-3-642-36062-6_43
Stebel, J. Finite element approximation of Stokes-like systems with implicit constitutive relation. In D. Ševčovič A. Handlovičová, Z. Minarechová, editor, ALGORITMY 2012 - 19th Conference on Scientific Computing, September 9 – 14, 2012. Slovak University of Technology in Bratislava, Publishing House of STU, 2012. WOS:00036326930003

Publications

BŘEZINA, J. , and STEBEL, J. Discrete fracture-matrix model of poroelasticity ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik Wiley-VCH GmbH, 2024, vol. 104, issue 4. P. e202200469. ISSN: 1521-4001.
STEBEL, J. et al. On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions Computers & Structures Oxford: Elsevier Ltd., 2024, vol. 298, issue -. P. 107339. ISSN: 0045-7949.
HENYŠ, P. et al. From computed tomography to finite element space: A unified bone material mapping strategy CLINICAL BIOMECHANICS Elsevier, 2022, vol. 97, issue JUL. P. neuvedeny (12 stran). ISSN: 0268-0033.
BŘEZINA, J. et al. Posouzení vlivu zóny ovlivněné ražbou na bezpečnost hlubinného úložiště pomocí výpočetních metod, 2022
BŘEZINA, J. et al. Software Endorse 1.0 [software]. Available from: https://github.com/GeoMop/endorse.
všechny publikace
SALAČ, P. , and STEBEL, J. Shape optimization for a time-dependent model of a carousel press in glass production Applications of Mathematics Berlin, Heidelberg: Springer, 2019, vol. 64, issue 2. P. 195 – 224. ISSN: 0862-7940.
MARYŠKA, J. et al. Výzkumná podpora pro bezpečnostní hodnocení hlubinného úložiště v roce 2018 [souhrnná výzkumná zpráva].
BŘEZINA, J., STEBEL, J., EXNER, P. , and HYBŠ, J. Flow123d verze 3.0.0 [software]. Available from: http://flow.nti.tul.cz/packages/3.0.0_release/.
HASLINGER, J., MÄKINEN, R. , and STEBEL, J. Shape optimization for Stokes problem with threshold slip boundary conditions Discrete and Continuous Dynamical Systems - Series S American Institute of Mathematical Sciences, 2017, vol. 10, issue 6. P. 1281 – 1301. ISSN: 1937-1632.
MARYŠKA, J. et al. Výzkumná podpora pro bezpečnostní hodnocení hlubinného úložiště v roce 2017 [souhrnná výzkumná zpráva].
STEBEL, J. , and BŘEZINA, J. Analysis of model error for a continuum-fracture model of porous media flow Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 1. ed. Basel: Springer International Publishing, 2016 P. 152 – 160. ISBN: 978-3-319-40360-1, ISSN: 0302-9743.
HOKR, M. et al. Dokončení vývoje a ověření SW Flow123d v rámci projektu DECOVALEX 2015 [souhrnná výzkumná zpráva].
HASLINGER, J. , and STEBEL, J. Stokes problem with a solution dependent slip bound: Stability of solutions with respect to domains ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik Weinheim: WILEY-VCH Verlag GmbH & Co. KG, 2016, vol. 96, issue 9. P. 1049 – 1060. ISSN: 1521-4001.
MARYŠKA, J. et al. Výzkumná podpora pro bezpečnostní hodnocení hlubinného úložiště v roce 2016 [souhrnná výzkumná zpráva].
SEVERÝN, O., STEBEL, J. , and EXNER, P. Aplikovaná matematika - metodický materiál pro AP kurs, 2015
STEBEL, J. , and BŘEZINA, J. Continuum-fracture model for transport processes: Error analysis SNA'15 Seminar on Numerical Analysis - Modelling and Simulation of Challenging Engineering Problems 1. ed. Ostrava: Ústav geoniky AV ČR, 2015 P. 108 – 110. ISBN: 978-80-86407-55-5.
HOKR, M. et al. Dokončení vývoje a ověření SW Flow123D v rámci projektu DECOVALEX 2015 [souhrnná výzkumná zpráva].
SALAČ, P. , and STEBEL, J. Two-periodic cooling process in glass forming SNA 15, Seminar on Numerical Analysis 1. ed. Ostrava: Institute of Geonics AS CR, 2015 P. 104 – 107. ISBN: 9788086407555.
HOKR, M. et al. Dokončení vývoje a ověření SW Flow123D v rámci projektu DECOVALEX 2015 - Průběžná zpráva 2014 [souhrnná výzkumná zpráva].
BŘEZINA, J., STEBEL, J. , and EXNER, P. Flow123d - version 1.8.2 [software]. Available from: http://flow123d.github.io.
STEBEL, J., HASLINGER, J. , and SASSI, T. Shape Optimization for Stokes Problem with Threshold Slip Applications of Mathematics 1. ed. Praha: Matematický ústav AV ČR, 2014, vol. 59, issue 6. P. 631 – 652. ISSN: 0862-7940.

Topics of Student work

Numerical homogenization of mechanical properties, NTI, 2023

Správa studentských prací a projektů

Show all staff Co-workers at NTI

doc. Mgr. Jan Stebel, Ph.D.

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