Department for Applied Mathematics
University of Freiburg
79104 Freiburg im Breisgau

Office hours: on appointment

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 ]

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

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.

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