Department for Applied Mathematics
Albert-Ludwigs-University 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 ]

## Teaching

### Sommersemester 2018

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

### Sommersemester 2017

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

### Wintersemester 2015/2016

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

### 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