1. S. Praetorius and F. Stenger, Dune-CurvedGrid - A Dune module for surface parametrization, (accepted in ANS), 2022. [article] [bibtex]
  2. H. Hardering and S. Praetorius, Tangential Errors of Tensor Surface Finite Elements, (submitted), 2021. [article] [bibtex]
  3. P. Brandner, T. Jankuhn, S.Praetorius, A. Resuken, and A. Voigt, Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations, (submitted), 2021. [article] [bibtex]
  4. S. Praetorius, M. Salvalaglio, and A. Voigt, An efficient numerical framework for the amplitude expansion of the phase-field crystal model, In Model. Sim. Mater. Sci., Vol. 27 (4), pp. 044004, 2019. [doi] [bibtex]
  5. D. Wenzel, S. Praetorius, and A. Voigt, Topological and geometrical quantities in active cellular structures, In J. Chem. Phys., Vol. 150 (16), pp. 164108, 2019. [doi] [bibtex]
  6. I. Nitschke, M. Nestler, S. Praetorius, H. Löwen, and A. Voigt, Nematic liquid crystals on curved surfaces — a thin film limit, In Proc. Royal Soc. A, Vol. 474 (2214), pp. 20170686, 2018. [doi] [bibtex]
  7. S. Praetorius, A. Voigt, R. Witkowski, and H. Löwen, Active crystals on a sphere, In Phys. Rev. E, Vol. 97, pp. 052615, 2018. [doi] [bibtex]
  8. S. Praetorius and A. Voigt, Collective cell behavior - a cell-based parallelization approach for a phase field active polar gel model, In Proceedings of the 9th NIC Symposium, Vol. 49, pp. 369–376, 2018. [article] [bibtex]
  9. M. Nestler, I. Nitschke, S. Praetorius, and A. Voigt, Orientational order on surfaces - the coupling of topology, geometry, and dynamics, In J. Nonlinear Sci., 2017. [doi] [bibtex]
  10. K. Padberg-Gehle, S. Reuther, S. Praetorius, and A. Voigt, Transfer Operator-Based Extraction of Coherent Features on Surfaces, In Topological Methods in Data Analysis and Visualization IV: Theory, Algorithms, and Applications (Springer International Publishing), 2017. [doi] [bibtex]
  11. O. Weißenborn, S. Geller, M. Gude, F. Post, S. Praetorius, A. Voigt, and S. Aland, Deformation Analysis of Polymer Foams under Compression Load using In Situ Computed Tomography and Finite Element Simulation Methods, In ECCM17, pp. 1–7, 2016. [article] [bibtex]
  12. F. Alaimo, S. Praetorius, and A. Voigt, A microscopic field theoretical approach for active systems, In New J. Phys., Vol. 18 (8), pp. 083008, 2016. [doi] [bibtex]
  13. S. Ling, W. Marth, S. Praetorius, and A. Voigt, An adaptive finite element multi-mesh approach for interacting deformable objects in flow, In Comput. Meth. Appl. Math., Vol. 16, pp. 475–484, 2016. [doi] [bibtex]
  14. Simon Praetorius, Efficient Solvers for the Phase-Field Crystal Equation - Development and Analysis of a Block-Preconditioner, PhD Thesis, Technische Universität Dresden, 2015. [article] [bibtex]
  15. T. Witkowski, S. Ling, S. Praetorius, and A. Voigt, Software concepts and numerical algorithms for a scalable adaptive parallel finite element method, In Adv. Comput. Math., pp. 1–33, 2015. [doi] [bibtex]
  16. S. Tang, S. Praetorius, R. Backofen, A. Voigt, Y.-M. Yu, and J. Wang, Two-dimensional liquid crystalline growth within a phase-field-crystal model, In Phys. Rev. E, Vol. 92, pp. 012504, 2015. [doi] [bibtex]
  17. S. Praetorius and A. Voigt, A Navier-Stokes phase-field crystal model for colloidal suspensions, In J. Chem. Phys., Vol. 142 (15), pp. 154904, 2015. [doi] [bibtex]
  18. S. Praetorius and A. Voigt, Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation, In SIAM J. Sci. Comp., Vol. 37 (3), pp. B425–B451, 2015. [doi] [bibtex]
  19. W. Marth, S. Praetorius, and A. Voigt, A mechanism for cell motility by active polar gels, In J. R. Soc. Interface, Vol. 12 (107), 2015. [doi] [bibtex]
  20. S. Praetorius, A. Voigt, R. Wittkowski, and H. Löwen, Structure and dynamics of interfaces between two coexisting liquid-crystalline phases, In Phys. Rev. E, Vol. 87, pp. 052406, 2013. [doi] [bibtex]
  21. C. Jäger, S. Praetorius, and A. Voigt, Super-resolution of images using area preserving geometric evolution laws, In ISRN Computer Graphics, Vol. 2012, pp. 846980, 2012. [doi] [bibtex]
  22. S. Praetorius and A. Voigt, A Phase Field Crystal Approach for Particles in a Flowing Solvent, In Macromol. Theor. Sim., Vol. 20 (7), pp. 541–547, 2011. [doi] [bibtex]
  23. R. Backofen, M. Gräf, D. Potts, S. Praetorius, A. Voigt, and T. Witkowski, A Continuous Approach to Discrete Ordering on S2, In Multiscale Model. Sim., Vol. 9 (1), pp. 314–334, 2011. [doi] [bibtex]
  24. Simon Praetorius, Interacting Particles in Flowing Solvents - Modeling, Numerics and High-Performance Computing, Master's Thesis (Diplomarbeit), Technische Universität Dresden, 2010. [article] [bibtex]