Simon Praetorius
Postdoctoral research fellow
NameMr Dr. Simon Praetorius
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Institute of Scientific Computing
Institute of Scientific Computing
Visiting address:
Z21, 235.1 Zellescher Weg 25
01069 Dresden
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 PhaseField Crystal Equation” supervised by Prof. Axel Voigt (TUDresden) and additionally reviewed by Prof. Steven M. Wise (The University of Tennessee).
Currently, I'm working on topics about Discrete Exterior Calculus, the PhaseField Crystal equation, active matter and the evolution of surface vector and tensor fields.
Conferences and Events
Nov 29  Dec 01  Workshop "Vector and TensorValued Surface PDEs" 
Oct 06  Dune/AMDiS Hackathon 
Sep 18  20  Dune Meeting 2023 
Sep 04  08  ENUMATH2023: MS21 "Surface geometry approximation and vectorvalued PDEs" 
Curriculum Vitae
2023  2026  Principal investigator in the DFG research unit "Vector and TensorValued 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: GeorgHelmPreis 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
2023

A Parametric FiniteElement Discretization of the Surface Stokes Equations , 2 Sep 2023, arXiv, Vol. 2309.00931. 36 p.Electronic (fulltext) versionResearch output: Preprint/documentation/report > Preprint

Diffusion of tangential tensor fields: numerical issues and influence of geometric properties , 16 Aug 2023, In: Journal of Numerical Mathematics. 28 p.Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Influence of finitesize particles on fluid velocity and transport through porous media , 5 Jul 2023, In: Physical Review Fluids. 8, 7, 074501Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Tangential Errors of Tensor Surface Finite Elements , May 2023, In: IMA Journal of Numerical Analysis. 43, 3, p. 15431585, 43 p.Electronic (fulltext) versionResearch output: Contribution to journal > Research article
2022

Finite element discretization methods for velocitypressure and stream function formulations of surface Stokes equations , 5 Jul 2022, In: SIAM Journal of Scientific Computing. 44, 4, p. A1807A1832, 4Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Diffusion of tangential tensor fields: numerical issues and influence of geometric properties , 25 May 2022, arXiv, Vol. math.NA. p. 2205.12581Electronic (fulltext) versionResearch output: Preprint/documentation/report > Preprint

DuneCurvedGrid  A Dune module for surface parametrization , 9 Feb 2022, In: Archive of Numerical Software. 6, 1Electronic (fulltext) versionResearch output: Contribution to journal > Research article
2019

An efficient numerical framework for the amplitude expansion of the phasefield crystal model , 1 Jun 2019, In: Modelling and simulation in materials science and engineering. 27, 4, p. 044004Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Topological and geometrical quantities in active cellular structures , 28 Apr 2019, In: The Journal of chemical physics. 150, 16, p. 164108Electronic (fulltext) versionResearch output: Contribution to journal > Research article
2018

Nematic liquid crystals on curved surfaces: a thin film limit , 30 Jun 2018, In: 2018 Proceedings of the Royal Society of London : Vol. 474, Issue: 2214. 474, 2214, p. 20170686Electronic (fulltext) versionResearch output: Contribution to journal > Research article
 AMDiS — A Dune module reimplementing the legacy AMDiS framework
 (legacy) AMDiS — Adaptive MultiDimensional Simulation, a FiniteElement framework implemened in C++
 dunecurvedgrid — A metagrid for dune grids mapping a flat geometry of elements to a curved geometry using dunecurvedgeometry
 dunecurvedgeometry — Implementation of curved geometries by localfunction parametrizations
 dunedec — A Dune Discrete Exterior Calculus module for the solution of (surface) partial differential equations
 dunevtk — File reader and writer for the VTK XML Format
 dunegmsh4 — File reader for the Gmsh MSH file format version 4.
 tinyla — Linear Algebra library for tiny (dense) matrices and vectors, using C++14 features and conceptslite
 mpi14 — A wrapper like Boost.MPI that provides highlevel interfaces using C++14 features for the underlying MPI Clibrary
Teaching
 So2023 Scientific Programming With C++ (OPAL)
 Supervision of master thesis topics:
 Domain decomposition and parallel solvers with duneistl
 So2022 Scientific Programming With C++
 Supervision of master thesis topics:
 Periodic Boundary Conditions on nonperiodic Meshes for Systems of PDEs: Methods, Implementation, Examples and Analysis
 Scientific Programming  ObjectOriented 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 multiphasefield 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  ObjectOriented 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 CahnHilliard Equation
 Defecttracking in Active Smectics
 Modellvergleiche des maschinellen Lernens zur automatischen Applikation von Sitzpersonalisierungsfunktionen
 Modelling Seminar: Fluid particle dynamics