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Simon Praetorius
Simon Praetorius
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Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
T Witkowski, S Ling, S Praetorius, A Voigt
Advances in computational mathematics 41, 1145-1177, 2015
1312015
A mechanism for cell motility by active polar gels
W Marth, S Praetorius, A Voigt
Journal of The Royal Society Interface 12 (107), 20150161, 2015
562015
Active crystals on a sphere
S Praetorius, A Voigt, R Wittkowski, H Löwen
Physical Review E 97 (5), 052615, 2018
462018
Orientational order on surfaces: The coupling of topology, geometry, and dynamics
M Nestler, I Nitschke, S Praetorius, A Voigt
Journal of Nonlinear Science 28, 147-191, 2018
462018
A microscopic field theoretical approach for active systems
F Alaimo, S Praetorius, A Voigt
New Journal of Physics 18 (8), 083008, 2016
422016
Nematic liquid crystals on curved surfaces: a thin film limit
I Nitschke, M Nestler, S Praetorius, H Löwen, A Voigt
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2018
332018
A Navier-Stokes phase-field crystal model for colloidal suspensions
S Praetorius, A Voigt
The Journal of chemical physics 142 (15), 2015
332015
A Continuous Approach to Discrete Ordering on
R Backofen, M Gräf, D Potts, S Praetorius, A Voigt, T Witkowski
Multiscale Modeling & Simulation 9 (1), 314-334, 2011
292011
Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
S Praetorius, A Voigt
SIAM Journal on Scientific Computing 37 (3), B425–B451, 2015
262015
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations
P Brandner, T Jankuhn, S Praetorius, A Reusken, A Voigt
SIAM Journal on Scientific Computing 44 (4), A1807-A1832, 2022
252022
Topological and geometrical quantities in active cellular structures
D Wenzel, S Praetorius, A Voigt
The Journal of chemical physics 150 (16), 2019
222019
An efficient numerical framework for the amplitude expansion of the phase-field crystal model
S Praetorius, M Salvalaglio, A Voigt
Modelling and Simulation in Materials Science and Engineering 27 (4), 044004, 2019
192019
A phase field crystal approach for particles in a flowing solvent
S Praetorius, A Voigt
Macromolecular theory and simulations 20 (7), 541-547, 2011
182011
Dune-CurvedGrid--A Dune module for surface parametrization
S Praetorius, F Stenger
Archive of Numerical Software 6 (1), 1-27, 2022
162022
Tangential errors of tensor surface finite elements
H Hardering, S Praetorius
IMA Journal of Numerical Analysis 43 (3), 1543-1585, 2023
132023
Structure and dynamics of interfaces between two coexisting liquid-crystalline phases
S Praetorius, A Voigt, R Wittkowski, H Löwen
Physical Review E 87 (5), 052406, 2013
132013
Collective cell behavior—A cell-based parallelization approach for a phase field active polar gel model
S Praetorius, A Voigt
NIC Ser 49, 369-376, 2018
122018
An adaptive finite element multi-mesh approach for interacting deformable objects in flow
S Ling, W Marth, S Praetorius, A Voigt
Computational Methods in Applied Mathematics 16 (3), 475-484, 2016
122016
A phase field crystal model for colloidal suspensions with hydrodynamic interactions
S Praetorius, A Voigt
arXiv preprint arXiv:1310.5495, 2013
82013
Transfer operator-based extraction of coherent features on surfaces
K Padberg-Gehle, S Reuther, S Praetorius, A Voigt
Topological Methods in Data Analysis and Visualization IV: Theory …, 2017
62017
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