M.Sc. Marijo Milicevic

Marijo Milicevic

Department for Applied Mathematics
Albert-Ludwigs-University Freiburg
Hermann-Herder-Str. 10 , Room 211
79104 Freiburg im Breisgau

Tel: 0761 / 203 5654
E-Mail: marijo.milicevic@mathematik.uni-freiburg.de
Office hours: tue 11:00-12:00

Research

  • Finite element approximation and iterative solution of constrained, nonsmooth minimization problems

  • Optimization in image processing

  • Numerical simulation of damage evolutions

Publications

  • S. Bartels, M. Milicevic and M. Thomas. Numerical approach to a model for quasistatic damage with spatial $BV$-regularization. In E. Rocca, U. Stefanelli, L. Truskinovsky, and A. Visintin, eds., Trends in Applications of Mathematics to Mechanics, Vol. 27 Springer INdAM Series, 179-203, Springer International Publishing, 2018. [ DOI ]

  • S. Bartels and M. Milicevic. Alternating direction method of multipliers with variable step sizes, arXiv, 2017. [ pdf ]

  • S. Bartels and M. Milicevic. Iterative finite element solution of a constrained total variation regularized model problem. Discrete & Continuous Dynamical Systems - S, 10(6):1207-1232, 2017. [ DOI ]

  • S. Bartels and M. Milicevic. Stability and experimental comparison of prototypical iterative schemes for total variation regularized model problems.Computational Methods in Applied Mathematics,16(3):361-388,2016. [ DOI ]

Teaching

Sommersemester 2018

  • Seminar, Weiterführende Aspekte gemischter Finite-Elemente-Methoden, Prof. Dr. S. Bartels

Wintersemester 2017/2018

Sommersemester 2017

  • Seminar, Iterative Löser und Adaptivität, Prof. Dr. S. Bartels

Wintersemester 2016/2017

Sommersemester 2016

Wintersemester 2015/2016

  • Seminar, Sobolev-Funktionen und deren Approximation, Prof. Dr. S. Bartels

Wintersemester 2014/2015

Sommersemester 2014

  • Seminar, Seminar zur Numerik, Prof. Dr. S. Bartels

Talks and Poster Presentations

  • Talk, Alternating direction method of multipliers with variable step sizes and application to $BV$-damage evolution, GAMM 90th Annual Meeting, Vienna, Austria, 02/2019.

  • Talk, Adaptive finite element approximation of convex minimization problems, GAMM Workshop on Numerical Analysis, Augsburg, Germany, 10/2018.

  • Talk, Discretiztion of BV-regularized damage model and convergence to semi-stable energetic solution, Conference "Current Trends and Open Problems in Computational Solid Mechanics", Hannover, Germany, 10/2018.

  • Talk, Adaptive finite element approximation of the ROF model, SIAM Conference on Imaging Science, Bologna, Italy, 06/2018.

  • Poster, Alternating direction method of multipliers with variable step sizes, Winter School "Modern Methods in Nonsmooth Optimization", Würzburg, Germany, 03/2018.

  • Talk, Bilaterally constrained total variation minimization and application to a damage model, 7th European Congress of Mathematics, Berlin, Germany, 07/2016.

Theses

  • A Variant of the $C^0$ Interior Penalty Method for the Biharmonic Equation, Master's thesis, Rheinische Friedrich-Wilhelms-University Bonn, 03/2014, Supervisors: Prof. Dr. Sven Beuchler, Prof. Dr. Susanne C. Brenner

  • Numerische Verfahren für totalvariationsregularisierte Probleme, Bachelor's thesis, Rheinische Friedrich-Wilhelms-University Bonn, 09/2011, Supervisors: Prof. Dr. Sören Bartels, Prof. Dr. Holger Rauhut

Miscellaneous