Simon Praetorius
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Wissenschaftlicher Mitarbeiter
NameHerr Dr. Simon Praetorius
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Institut für Wissenschaftliches Rechnen
Institut für Wissenschaftliches Rechnen
I'm a postdoc in the Insitute of Scientific Computing at the Technische Universität Dresden. End of 2015 I have finished my PhD about “Efficient Solvers for the Phase-Field Crystal Equation” supervised by Prof. Axel Voigt (TU-Dresden) and additionally reviewed by Prof. Steven M. Wise (The University of Tennessee).
Currently, I'm working on topics about Discrete Exterior Calculus, the Phase-Field Crystal equation, active matter and the evolution of surface vector and tensor fields.
Conferences and Events
Nov 29 - Dec 01, 2023 | Workshop "Vector- and Tensor-Valued Surface PDEs" |
Oct 06, 2023 | Dune/AMDiS Hackathon |
Sep 18 - 20, 2023 | Dune Meeting 2023 |
Sep 04 - 08, 2023 | ENUMATH2023: MS21 "Surface geometry approximation and vector-valued PDEs" |
Curriculum Vitae
2023 - 2026 | Principal investigator in the DFG research unit "Vector- and Tensor-Valued Surface PDEs" |
2022 - today |
Deputy equal opportunities officer of the faculty of mathematics. |
2015 - today | Postdoctoral researcher in the Institute of Scientific Computing at Technische Universität Dresden. |
2020 | Teaching award of the faculty of mathematics in the category "Nachwuchsvorlesung". |
Sep - Dec 2018 |
Research visit in the lab of Prof. Steven M. Wise at the University of Tennessee (Knoxville, TN, USA) |
2016 | Award for an excellent doctoral thesis: Georg-Helm-Preis 2016 |
2011 - 2015 | Doctoral program in mathematics at Technische Universität Dresden. Title: summa cum laude. |
March 2013 | Research visit in the Isaac Newton Institute for Mathematical Sciences (Cambridge, UK). |
2005 - 2011 | Diploma study in mathematics (scientific computing) at Technische Universität Dresden. Grade: 1.3 |
Research
2024
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Active smectics on a sphere , 1 Feb. 2024, in: Journal of Physics: Condensed Matter. 36 (2024), 18, 13 S., 185001Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
2023
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A Parametric Finite-Element Discretization of the Surface Stokes Equations , 2 Sept. 2023, arXiv, 36 S.Elektronische (Volltext-)VersionPublikation: Vorabdruck/Dokumentation/Bericht > Vorabdruck (Preprint)
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Diffusion of tangential tensor fields: numerical issues and influence of geometric properties , 16 Aug. 2023, in: Journal of Numerical Mathematics. 32, 1, S. 55 - 75, 28 S.Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
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Influence of finite-size particles on fluid velocity and transport through porous media , 5 Juli 2023, in: Physical Review Fluids. 8, 7, 074501Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
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Tangential Errors of Tensor Surface Finite Elements , Mai 2023, in: IMA Journal of Numerical Analysis. 43, 3, S. 1543-1585, 43 S.Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
2022
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Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations , 5 Juli 2022, in: SIAM Journal of Scientific Computing. 44, 4, S. A1807-A1832, 4Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
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Dune-CurvedGrid - A Dune module for surface parametrization , 9 Feb. 2022, in: Archive of Numerical Software. 2022, 6(1)Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
2019
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An efficient numerical framework for the amplitude expansion of the phase-field crystal model , 1 Juni 2019, in: Modelling and simulation in materials science and engineering. 27, 4, S. 044004Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
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Topological and geometrical quantities in active cellular structures , 28 April 2019, in: The Journal of chemical physics. 150, 16, S. 164108Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
2018
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Nematic liquid crystals on curved surfaces: a thin film limit , 30 Juni 2018, in: Proceedings of the Royal Society of London : Series A, Mathematical, physical and engineering sciences. 474, 2214, S. 20170686Elektronische (Volltext-)VersionPublikation: Beitrag in Fachzeitschrift > Forschungsartikel
- AMDiS — A Dune module reimplementing the legacy AMDiS framework
- (legacy) AMDiS — Adaptive MultiDimensional Simulation, a Finite-Element framework implemened in C++
- dune-curvedgrid — A meta-grid for dune grids mapping a flat geometry of elements to a curved geometry using dune-curvedgeometry
- dune-curvedgeometry — Implementation of curved geometries by local-function parametrizations
- dune-dec — A Dune Discrete Exterior Calculus module for the solution of (surface) partial differential equations
- dune-vtk — File reader and writer for the VTK XML Format
- dune-gmsh4 — File reader for the Gmsh MSH file format version 4.
- tiny-la — Linear Algebra library for tiny (dense) matrices and vectors, using C++14 features and concepts-lite
- mpi14 — A wrapper like Boost.MPI that provides high-level interfaces using C++14 features for the underlying MPI C-library
Teaching
- So2023 Scientific Programming With C++ (OPAL)
- Supervision of master thesis topics:
- Domain decomposition and parallel solvers with dune-istl
- So2022 Scientific Programming With C++
- Supervision of master thesis topics:
- Periodic Boundary Conditions on non-periodic Meshes for Systems of PDEs: Methods, Implementation, Examples and Analysis
- Scientific Programming - Object-Oriented Programming using Java
- Supervision of master thesis topics:
- Collective behaviour of active brownian particles by active VPFC modeling
- Data exchange between independently refined grids and its application in multi-phase-field models
- H2 (non)conforming Finite Elements for the DUNE framework
- Machine Learning prediction models for functionality and performance parameters of semiconductor chips based on manufacturing datasets
- AMDiS - Workshop
- Math Ma WIA / SCCOMP: Large sparse linear systems: concepts & implementation
- Math Ma WIA: Programming Languages in Scientific Computing
- Scientific Programming with C++
- Scientific Programming - Object-Oriented Programming using Java
- Tutorial of numerics of partial differential equations and finite element method
- Seminar of modelling and simulation
- Tutorial of basics in numerical mathematics 2
- Tutorial of basics in numerical mathematics 1
- Tutorial of mathematics III for electrical engineers
- Restoration of Binary Images Using the Cahn-Hilliard Equation
- Defect-tracking in Active Smectics
- Modellvergleiche des maschinellen Lernens zur automatischen Applikation von Sitzpersonalisierungsfunktionen
- Modelling Seminar: Fluid particle dynamics