Jan Stebel

Publications

Journal papers

• On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions
  (with J. Kružík, D. Horák, J. Březina and M. Béreš).
  Computers & Structures, 298:107339, 2024.
• Discrete fracture-matrix model of poroelasticity
  (with J. Březina).
  Zeitschrift für Angewandte Mathematik und Mechanik, 104(4):e202200469, 2024.
• From computed tomography to finite element space: a unified bone material mapping strategy
  (with P. Henyš, M. Vořechovský, M. Kuchař and P. Exner)
  Clinical Biomechanics, 97:105704, 2022.
• Shape optimization for a time-dependent model of a carousel press in glass production
  (with P. Salač).
  Applications of Mathematics, 64(2):195-224, 2019.
• Shape optimization for Stokes problem with threshold slip boundary conditions
  (with J. Haslinger and R.A.E. Mäkinen).
  Discrete and Continuous Dynamical Systems - Series S, 10(6):1281-1301, 2017.
• Stokes problem with a solution dependent slip bound: Stability of solutions with respect to domains
  (with J. Haslinger).
  Zeitschrift für Angewandte Mathematik und Mechanik, 96(9):1049-1060, 2016.
• Error analysis of the finite element and finite volume methods for some viscoelastic fluids
  (with M. Lukáčová, H. Mizerová and B. She).
  Journal of Numerical Mathematics, 24(2):105-123, 2016.
• On topological derivatives for contact problems in elasticity
  (with S.M. Giusti and J. Sokolowski).
  Journal of Optimization Theory and Applications, 165(1):279-294, 2015.
• Shape optimization for Stokes problem with threshold slip
  (with J. Haslinger and T. Sassi).
  Applications of Mathematics, 59(6):631-652, 2014.
• Shape optimization for non-Newtonian fluids in time-dependent domains
  (with J. Sokolowski).
  Evolution Equations and Control Theory, 3(2):331-348, 2014.
• Incompressible limits of fluids excited by moving boundaries
  (with E. Feireisl, O. Kreml, Š. Nečasová and J. Neustupa).
  SIAM Journal on Mathematical Analysis, 46(2):1456-1471, 2014.
• Stability with respect to domain of the low Mach number limit of compressible viscous fluids
  (with E. Feireisl, T. Karper and O. Kreml).
  Mathematical Models and Methods in Applied Sciences, 23(13):2465-2493, 2013.
• Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time-dependent domains
  (with E. Feireisl, O. Kreml, Š. Nečasová and J. Neustupa).
  Journal of Differential Equations, 254(1):125-140, 2013.
• Finite element approximation of flow of fluids with shear rate and pressure dependent viscosity
  (with A. Hirn and M. Lanzendörfer).
  IMA Journal of Numerical Analysis, 32(4):1604-1634, 2012.
• On shape stability of incompressible fluids subject to Navier's slip condition.
  Journal of Mathematical Fluid mechanics, 14(3):575-589, 2012.
• Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids
  (with J. Sokolowski).
  Control & Cybernetics, 40(4):1077-1097, 2011.
• On a mathematical model of journal bearing lubrication
  (with M. Lanzendörfer).
  Mathematics and Computers in Simulation, 81(11):2456-2470, July 2011.
• On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities
  (with M. Lanzendörfer).
  Applications of Mathematics, 56(3):265-285, 2011.
• Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation
  (with J. Haslinger).
  Applied Mathematics and Optimization, 63(2):277-308, 2011.
• Convergence of a Brinkman-type penalization for compressible fluid flows
  (with E. Feireisl and J. Neustupa).
  Journal of Differential Equations, 250(1):596-606, 2011.
• Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis
  (with M. Bulíček, J. Haslinger and J. Málek).
  Applied Mathematics and Optimization, 60(2):185-212, 2009.
• Optimal shape design in a fibre orientation model
  (with R.A.E. Mäkinen, and J.I. Toivanen).
  Applications of Mathematics, 52(5):391-405, 2007.
• Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis
  (with J. Haslinger and J. Málek).
  Control and Cybernetics, 34(1):283-303, 2005.

Proceedings papers

• Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow
  (with Jan Březina).
  In High Performance Computing in Science and Engineering, Lecture Notes in Computer Science, pages 152-160. Springer, 2016.
• Topology design of elastic structures for a contact model
  (with S.M. Giusti and J. Sokolowski).
  In Optimization with PDE Constraints, Lecture Notes in Computational Science and Engineering. Springer, 2014.
• Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids
  (with J. Sokolowski).
  In System Modeling and Optimization, pages 427-436. Springer, 2013.
• 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.
• On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities
  (with M. Lanzendörfer).
  In R. Blaheta and J. Starý, editors, SNA '09 - Seminar on Numerical Analysis and Winter School, pages 71-75. Institute of Geonics AS CR, 2009.
• Shape optimization governed by generalized Navier-Stokes equations
  (with J. Haslinger and J. Málek).
  In R. Blaheta and J. Starý, editors, SNA '07 - Modelling and Simulation of Challenging Engineering Prolems, pages 91-94. Institute of Geonics AS CR, 2007.
• Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis
  (with J. Haslinger and J. Málek)
  IASME Trans., 2(6):905-910, 2005.
• Optimal shape design in a fibre orientation model.
  In J. Safrankova, editor, WDS'05 Proceedings of Contributed Papers: Part I - Mathematics and Computer Sciences, pages 167-172. Matfyzpress, 2005.