Full bibliography

Complete list of articles, proceedings, and theses.

This bibliography collects my journal articles, conference contributions, preprints, and theses in numerical analysis, geometric PDEs, and scientific computing. The most recent work appears first.

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.