Full bibliography

Complete list of articles, proceedings, and theses.

30

Articles & proceedings

2

Theses

2010–2026

Publication period

The list is generated from the site’s BibTeX files, numbered automatically, and sorted by publication year from newest to oldest. Within a year, entries are sorted by author and title.

Selected publications · ORCID profile

All publications

33.

Engwer, C., Gräser, C., Müthing, S., Praetorius, S., and Sander, O. Concepts for composing finite element function space bases. arXiv e-prints. 2026. https://arxiv.org/abs/2508.10125.

32.

Happel, L., Hardering, H., Praetorius, S., and Voigt, A. Surface minkowski tensors to characterize shapes on curved surfaces. Interfaces and Free Boundaries. 2026. https://doi.org/10.4171/IFB/577.

31.

Hardering, H., Praetorius, S., and Zavalani, G. Odd behaviour of even geometries: An explanation for superconvergent geometric consistency errors. arXiv e-prints. 2026. https://arxiv.org/abs/2607.29466.

30.

Blatt, M., Burbulla, S., Burchardt, A., Dedner, A., Engwer, C., Gräser, C., Grüninger, C., Klöfkorn, R., Koch, T., Ríos, S. O. D. L., Praetorius, S., and Sander, O. The distributed and unified numerics environment (DUNE), version 2.10. arXiv e-prints. 2025. https://arxiv.org/abs/2506.23558.

29.

Garcke, H., Nürnberg, R., Praetorius, S., and Zhang, G. Isoparametric finite element methods for mean curvature flow and surface diffusion. Journal of Computational Physics 539 :114248. 2025. https://doi.org/10.1016/j.jcp.2025.114248.

28.

Hardering, H. and Praetorius, S. Parametric finite-element discretization of the surface stokes equations: Inf-sup stability and discretization error analysis. IMA Journal of Numerical Analysis 45 :2948–2987. 2025. https://doi.org/10.1093/imanum/drae080.

27.

Huang, Z.-F., Löwen, H., Nestler, M., Praetorius, S., and Voigt, A. Active smectics on a sphere. Journal of Physics: Condensed Matter 26 :185001. 2024. https://doi.org/10.1088/1361-648X/ad21a7.

26.

Bachini, E., Brandner, P., Jankuhn, T., Nestler, M., Praetorius, S., Reusken, A., and Voigt, A. Diffusion of tangential tensor fields: Numerical issues and influence of geometric properties. Journal of Numerical Mathematics. 2023. https://doi.org/10.1515/jnma-2022-0088.

25.

Residori, M., Praetorius, S., Anna, P. de, and Voigt, A. Influence of finite-size particles on fluid velocity and transport through porous media. Physical Review Fluids 8 (7) :074501. 2023. https://doi.org/10.1103/PhysRevFluids.8.074501.

24.

Brandner, P., Jankuhn, T., Praetorius, S., Reusken, A., and Voigt, A. Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. SIAM Journal on Scientific Computing 44 (4) :A1807–A1832. 2022. https://doi.org/10.1137/21M1403126.

23.

Hardering, H. and Praetorius, S. Tangential errors of tensor surface finite elements. IMA Journal of Numerical Analysis 43 (3) :1543–1585. 2022. https://doi.org/10.1093/imanum/drac015.

22.

Praetorius, S. and Stenger, F. Dune-CurvedGrid – A Dune module for surface parametrization. Archive of Numerical Software 6 (1) :1–27. 2022. https://doi.org/10.11588/ans.2022.1.75917.

21.

Praetorius, S., Salvalaglio, M., and Voigt, A. An efficient numerical framework for the amplitude expansion of the phase-field crystal model. Modelling and Simulation in Materials Science and Engineering 27 (4) :044004. 2019. https://doi.org/10.1088/1361-651X/ab1508.

20.

Wenzel, D., Praetorius, S., and Voigt, A. Topological and geometrical quantities in active cellular structures. The Journal of Chemical Physics 150 (16) :164108. 2019. https://doi.org/10.1063/1.5085766.

19.

Nitschke, I., Nestler, M., Praetorius, S., Löwen, H., and Voigt, A. Nematic liquid crystals on curved surfaces: A thin film limit. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474 (2214) :20170686. 2018. https://doi.org/10.1098/rspa.2017.0686.

18.

Praetorius, S. and Voigt, A. Collective cell behavior – a cell-based parallelization approach for a phase field active polar gel model. Proceedings of the 9th NIC Symposium 49 :369–376. 2018. http://juser.fz-juelich.de/record/844011.

17.

Praetorius, S., Voigt, A., Wittkowski, R., and Löwen, H. Active crystals on a sphere. Physical Review E 97 (5) :052615. 2018. https://doi.org/10.1103/PhysRevE.97.052615.

16.

Nestler, M., Nitschke, I., Praetorius, S., and Voigt, A. Orientational order on surfaces: The coupling of topology, geometry, and dynamics. Journal of Nonlinear Science 28 (1) :147–191. 2017. https://doi.org/10.1007/s00332-017-9405-2.

15.

Padberg-Gehle, K., Reuther, S., Praetorius, S., and Voigt, A. Transfer operator-based extraction of coherent features on surfaces. Topological methods in data analysis and visualization IV: Theory, algorithms, and applications, Springer International Publishing, 283–297. 2017. https://doi.org/10.1007/978-3-319-44684-4_17.

14.

Alaimo, F., Praetorius, S., and Voigt, A. A microscopic field theoretical approach for active systems. New Journal of Physics 18 (8) :083008. 2016. https://doi.org/10.1088/1367-2630/18/8/083008.

13.

Ling, S., Marth, W., Praetorius, S., and Voigt, A. An adaptive finite element multi-mesh approach for interacting deformable objects in flow. Computer Methods in Applied Mechanics and Engineering 16 :475–484. 2016. https://doi.org/10.1515/cmam-2016-0003.

12.

Weißenborn, O., Geller, S., Gude, M., Post, F., Praetorius, S., Voigt, A., and Aland, S. Deformation analysis of polymer foams under compression load using in situ computed tomography and finite element simulation methods. 2016.

11.

Marth, W., Praetorius, S., and Voigt, A. A mechanism for cell motility by active polar gels. Journal of the Royal Society Interface 12 (107). 2015. https://doi.org/10.1098/rsif.2015.0161.

10.

Praetorius, S. Efficient solvers for the phase-field crystal equation: Development and analysis of a block-preconditioner. PhD Thesis, Technische Universität Dresden. 2015. https://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-195532.

9.

Praetorius, S. and Voigt, A. A Navier-Stokes phase-field crystal model for colloidal suspensions. Journal of Chemical Physics 142 (15) :154904. 2015. https://doi.org/10.1063/1.4918559.

8.

Praetorius, S. and Voigt, A. Development and analysis of a block-preconditioner for the phase-field crystal equation. SIAM Journal on Scientific Computing 37 (3) :B425–B451. 2015. https://doi.org/10.1137/140980375.

7.

Tang, S., Praetorius, S., Backofen, R., Voigt, A., Yu, Y.-M., and Wang, J. Two-dimensional liquid crystalline growth within a phase-field-crystal model. Physical Review E 92 (1) :012504. 2015. https://doi.org/10.1103/PhysRevE.92.012504.

6.

Witkowski, T., Ling, S., Praetorius, S., and Voigt, A. Software concepts and numerical algorithms for a scalable adaptive parallel finite element method. Advances in Computational Mathematics 41 (6) :1145–1177. 2015. https://doi.org/10.1007/s10444-015-9405-4.

5.

Praetorius, S., Voigt, A., Wittkowski, R., and Löwen, H. Structure and dynamics of interfaces between two coexisting liquid-crystalline phases. Physical Review E 87 (5) :052406. 2013. https://doi.org/10.1103/PhysRevE.87.052406.

4.

Jäger, C., Praetorius, S., and Voigt, A. Super-resolution of images using area preserving geometric evolution laws. ISRN Computer Graphics 2012 :846980. 2012. https://doi.org/10.5402/2012/846980.

3.

Backofen, R., Gräf, M., Potts, D., Praetorius, S., Voigt, A., and Witkowski, T. A continuous approach to discrete ordering on $S^2$. Multiscale Modeling and Simulation 9 (1) :314–334. 2011. https://doi.org/10.1137/100787532.

2.

Praetorius, S. and Voigt, A. A phase field crystal approach for particles in a flowing solvent. Macromolecular Theory and Simulations 20 (7) :541–547. 2011. https://doi.org/10.1002/mats.201100004.

1.

Praetorius, S. Interacting particles in flowing solvents – Modeling, numerics and high-performance computing. Master's Thesis (Diplomarbeit), Technische Universität Dresden. 2010. https://wwwpub.zih.tu-dresden.de/~praetori/publications/files/Diplomarbeit_Simon_Praetorius.pdf.