Abteilung für Angewandte Mathematik
Albert-Ludwigs-Universität Freiburg
79104 Freiburg im Breisgau

Sprechstunde: n.V.

Forschung

Finite-Elemente-Approximation und iterative Lösung nicht-differenzierbarer Minimierungsprobleme unter Nebenbedingungen
Optimierung in der Bildverarbeitung
Numerische Simulation von Schädigungsprozessen

Publikationen

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

Vortrag, Alternating direction method of multipliers with variable step sizes and application to $BV$-damage evolution, GAMM 90th Annual Meeting, Wien, Österreich, 02/2019.
Vortrag, Adaptive finite element approximation of convex minimization problems, GAMM Workshop on Numerical Analysis, Augsburg, 10/2018.
Vortrag, Discretiztion of BV-regularized damage model and convergence to semi-stable energetic solution, Konferenz "Current Trends and Open Problems in Computational Solid Mechanics", Hannover, 10/2018.
Vortrag, Adaptive finite element approximation of the ROF model, SIAM Conference on Imaging Science, Bologna, Italien, 06/2018.
Poster, Alternating direction method of multipliers with variable step sizes, Winterschule "Modern Methods in Nonsmooth Optimization", Würzburg, 03/2018.
Vortrag, Bilaterally constrained total variation minimization and application to a damage model, 7th European Congress of Mathematics, Berlin, 07/2016.

A Variant of the $C^0$ Interior Penalty Method for the Biharmonic Equation, Master-Arbeit, Rheinische Friedrich-Wilhelms-Universität Bonn, 03/2014, Betreuuer: Prof. Dr. Sven Beuchler, Prof. Dr. Susanne C. Brenner
Numerische Verfahren für totalvariationsregularisierte Probleme, Bachelor-Arbeit, Rheinische Friedrich-Wilhelms-Universität Bonn, 09/2011, Betreuuer: Prof. Dr. Sören Bartels, Prof. Dr. Holger Rauhut