Optimization and Control @ Jagiellonian University

Institute of Computer Science Research Publications For students Conferences and events



Krzysztof Bartosz

Marcin Ciecholewski

Jacek Cyranka

Zdzisław Denkowski

Maria Foryś

Leszek Gasiński

Piotr Kalita

Anna Kulig

Stanisław Migórski

Anna Ochal


Maestro Seminar

Wed. 10:15-13:45

Modeling, Optimization and Control

Thu. 10:15-11:45

Partial Differential Equations

Tue. 12:15-13:45

Software Engineering and Related Topics

Wed. 14:00-15:30

Marie Curie projects

FP7 People CONTACT Project

Maestro Advanced Project

Krzysztof Bartosz

dr Krzysztof Bartosz, PhD


Jagiellonian University

Faculty of Mathematics and Computer Science

ul. Lojasiewicza 6, PL-30348 Kraków


Institute of Computer Science

ul. Lojasiewicza 6, PL-30348 Kraków

Office no. 2148

Phone: 48 12 664 7537

Fax: 48 12 664 6673

Email: krzysztof.bartosz(at)ii.uj.edu.pl, bartosz(at)ii.uj.edu.pl

Office hours: Wednesday, 14-16

Main interests

Theory of Sobolev spaces, partial differential equations, variational and hemivariational inequalities, mechanics of solids concerning elasticity and viscosity properties of material and nonmonotone contact conditions, optimal control and numerical solving of the above problems, Rothe method, Galerkin method, Finite Element Method, computer simulations.

Curriculum vitae

Studied Mathematics 1998-2003, AGH University of Science and Technology, Krakow

Master of Science in Mathematics 2003, AGH University of Science and Technology

PhD in Mathematics 2007, Jagiellonian University


Submitted papers

  1. K. Bartosz, M. Sofonea, The Rothe Method for Variational-Hemivariational Inequalities with applications to Contact Mechanics

Research papers in journals

  1. M. Barboteu, K. Bartos, T. Janiczko, W. Han, Numerical analysis of a hyperbolic hemivariational inequality arising in dynamic contact, SIAM Journal of Numerical Analysis 53-1 (2015), 527-550, DOI: 10.1137/140969737
  2. K. Bartosz, P. Kalita, S. Migórski, A. Ochal, M. Sofonea, History-dependent problems with applications to contact models for elastic beams, to appear in Applied Mathematics and Optimization, DOI: 10.1007/s00245-015-9292-6
  3. K. Bartosz, Z. Denkowski, P. Kalita, Sensitivity of optimal solutions to control problems for second order evolution subdifferential inclusions, to appear in Applied Mathematics and Optimization, DOI: 10.1007/s00245-014-9262-4
  4. K. Bartosz, X. Cheng, P. Kalita, Y. Yu. C. Zeng, Rothe method for parabolic variational-hemivariational inequalities, Journal of Mathematical Analysis and Applications, 423 (2015), 841-862, DOI: 10.1016/j.jmaa.2014.09.078.
  5. K. Bartosz, P. Kalita, M. Barboteu, A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction, Nonlinear Analysis: Real World Applications, 22 (2015), 452-472, DOI: 10.1016/j.nonrwa.2014.08.009.
  6. M. Barboteu, K. Bartosz, P. Kalita, A. Ramadan, Analysis of a contact problem with normal compliance, finite penetration and nonmonotone slip dependent friction, Communications in Contemporary Mathematics, 16 (2014), 1350016 [29 pages], DOI: 10.1142/S0219199713500168.
  7. M. Barboteu, K. Bartosz, P. Kalita, An analytical and numerical approach to a bilateral contact problem with nonmonotone friction, International Journal of Applied Mathematics and Computer Science, 23 (2013), 263-276.
  8. K. Bartosz, P. Kalita, Optimal control for a class of dynamic viscoelastic contact problems with adhesion, Dynamic Systems and Applications, 21 (2012), 269-292.
  9. K. Bartosz, Hemivariational Inequalities Modeling Dynamic Contact Problems with Adhesion, Nonlinear Analysis, Theory, Methods and Applications 71 (2009) 1747-1762.
  10. K. Bartosz, Hemivariational Inequality Approach to the Dynamic Viscoelastic Sliding Contact Problem with Wear, Nonlinear Analysis, Theory, Methods and Applications 65 (2006) 546-566.
Book chapters
  1. K. Bartosz, Numerical Methods for Evolution Hemivariational Inequalities, in: Advances in Variational and Hemivariational Inequalities, Advances in Mechanics and Mathematics, vol. 33, W. Han, S. Migórski, M. Sofonea (eds.), Springer 2015, 109-142.
  2. A. Ramadan, M. Barboteu, K. Bartosz, P. Kalita, A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction, in: Advances in Global Optimization, Springer Proceedings in Mathematics & Statistics, vol. 95, D. Gao, N. Ruan, W. Xing (eds.), Springer, 2015, 295-303, doi: 10.1007/978-3-319-08377-3_29.

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Chair of Optimization and Control, Institute of Computer Science, Łojasiewicza 6, 30-348 Kraków, Poland