Fakultet primijenjene matematike i informatike

Ivana Crnjac


 AVM6234 PhD 
Department of Mathematics
Josip Juraj Strossmayer University of Osijek
Trg Ljudevita Gaja 6
Osijek, HR-31000, Croatia
phone: +385-31-224-822
fax: +385-31-224-801
email:  This email address is being protected from spambots. You need JavaScript enabled to view it.
office:  35 (1st floor)


Research Interests

Partial Differential Equations
Functional Analysis
Optimal Design


PhD in Mathematics, Department of Mathematics, University of Zagreb, Croatia, 2019. (PhD thesis)
MSc in Mathematics, Department of Mathematics, University of Osijek,Croatia, 2013. (Master thesis)
BSc in Mathematics, Department of Mathematics, University of Osijek, Croatia, 2011.


Journal Publications

  1. K. Burazin, I. Crnjac, Application of explicit energy bounds in optimization of 3D elastic structures, Optimization and Engineering 2023 (2023)
    We present a novel numerical method for calculating optimal design in topology optimization problems for 3D linear elastic structures. The algorithm is based on necessary conditions of optimality for problem which was obtained by relaxing the original one via the homogenization method in the sense of operators (G- or H-convergence), and can be implemented for self-adjoint problems. The method relies on recently obtained explicit expressions for the lower Hashin–Shtrikman bound on complementary energy and information on the microstructure that saturates the bound. We tested the algorithm on two benchmark examples, namely the cantilever and the bridge problem. The algorithm provides the solution in a first few iterations and the true composites appear in the optimal design. We also implement a penalization procedure to obtain classical design with slight increase of the cost functional.
  2. K. Burazin, I. Crnjac, M. Vrdoljak, Optimality criteria method in 2D linearized elasticity problems, Applied Numerical Mathematics 160 (2021), 192-204
  3. K. Burazin, I. Crnjac, Convergence of the optimality criteria method for multiple state optimal design problems, Computers & Mathematics with Applications 79/5 (2020), 1382-1392
  4. K. Burazin, I. Crnjac, M. Vrdoljak, Variant of optimality criteria method for multiple state optimal design problems, Communications in Mathematical Sciences 16/6 (2018), 1597-1614
  5. N. Antonić, K. Burazin, I. Crnjac, M. Erceg, Complex Friedrichs systems and applications, Journal of Mathematical Physics 58/10 (2017), 1-22


  1. I. Soldo, I. Vuksanović, Pitagorine trojke, Matematičko fizički list 255 (2014), 179-184
  2. K. Burazin, Z. Tomljanović, I. Vuksanović, Prigušivanje mehaničkih vibracija, Math.e : hrvatski matematički elektronski časopis 24 (2014)


  • Homogenization, dimension reduction and structural optimization in continuum mechanics

          The project is funded by Croatian Science Foundation since 2018. Project leader: prof. Igor Velčić from               University of Zagreb.

  • Calculus of variations, optimisation and applications
        This is bilateral project with Serbia (cofinanced by Serbian Ministry of Science) that run from
        2016 until 2017. Project leaders: ass.prof. Krešimir Burazin from University of Osijek (croatian side)
        and prof. Nataša Krejić from University of Novi Sad (serbian side).
  • Damping optimization in mechanics systems excited with external force

Project run in 2015/16, supported by University of Osijek. Project leader: Zoran Tomljanović

  • Evolution Fredrichs systems

       Project run in 2013/14., supported by University of Osijek. Project leader: Krešimir Burazin. 

Professional Activities

Schools and Conferences
- With talk:

- Other:

  • GMT, Shape Optimisation and Free Boundaries, Trieste, Italy, October 25-28, 2016
  • DAAD Intensive course on New Aspects of the Time Frequency Analysis involving Frechet Frames, Novi Sad, Serbia, September, 2016
  • Workshop on Model Reduction Methods and Optimization, Opatija, Croatia, September 2016
  • Student visit to the University of Zagreb in the frame of DAAD project "Center of Excellence of Applications of Mathematics", May 2 - June 1, 2016
  • Partial Differential Equations, Optimal Design and Numerics, Benasque, Spain, August-September 2015
  • Winter School on Calculus of Variations in Physics and Materials Science, Würzburg, Germany, February 2014
  • Nonsmooth Analysis with Applications, Cluj-Napoca, Romania, September 2014
  • Workshop New Trends in Calculus of Variations, Linz, Austria, October 2104
  • Student visit to the University of Dubrovnik in the frame of DAAD project "Center of Excellence of Applications of Mathematics", June, 2014
  • PDEs, Continuum Mechanics and Numerical Analysis, A Conference in Honor of the 80th Anniversary of professor Ibrahim Aganović, Dubrovnik, May 2014
  • Microlocal Analysis, Wave Fronts and Propagation of Singularities, Novi Sad,Serbia, September 2013
  • DAAD International School on Linear Optimal Control of Dynamic Systems, Osijek, September 2013


Service Activities
  • Simpozij studenata doktorskih studija PMF-a u Zagrebu, 9. veljače 2018. - postersko priopćenje
  • 2017.  predavanje "Svemir i matematika" u okviru tjedna svemira u III. Gimnaziji u Osijeku 
  • Festival znanosti:
    • 2011. radionica - Primjena Sunčeve svjetlosti pri određenim izračunavanjima
    • 2012. radionica - 10 u svijetu računala
    • 2013. radionica - Koji broj je sljedeći?
    • 2014. radionica - Brojevi u valovima
    • 2016. radionica - Origami
  • Zimska škola matematike:
    • 2011. predavanje - Pitagorine trojke
  • Pripreme studenata za natjecanje 2014./2015. (IMC)
  • Pripreme studenata za natjecanje 2015./2016. (IMC)
  • Pripreme studenata za natjecanje 2016./2017. (IMC)
  • Pripreme studenata za natjecanje 2017./2018. (IMC)


Zimski semestar 2023./2024.

Ljetni semestar 2022./2023.


Konzultacije (Office Hours):    Konzultacije su moguće nakon nastave i po dogovoru. 




  •  Birthdate: September 29, 1989
  • Birthplace: Osijek
  • Family: married, one child