Simon Praetorius
Postdoctoral research fellow
NameDr. Simon Praetorius
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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.
Curriculum Vitae
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
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

Tangential Errors of Tensor Surface Finite Elements , 23 May 2022, In: IMA Journal of Numerical AnalysisElectronic (fulltext) versionResearch output: Contribution to journal > Research article

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: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 474, 2214, p. 20170686Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Active crystals on a sphere , 24 May 2018, In: Physical Review E. 97, p. 052615Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Collective cell behavior  a cellbased parallelization approach for a phase field active polar gel model , 2018, In: Proceedings of the 9th NIC Symposium. 49, p. 369376Research output: Contribution to journal > Research article
2017

Orientational order on surfaces  the coupling of topology, geometry, and dynamics , 2017, In: Journal of Nonlinear Science. 28, p. 147191Electronic (fulltext) versionResearch output: Contribution to journal > Research article

Transfer operatorbased extraction of coherent features on surfaces , 2017, Topological Methods in Data Analysis and Visualization IV. Springer, Cham, p. 283297 15 p., (Topological Methods in Data Analysis and Visualization)Electronic (fulltext) versionResearch output: Contribution to book/conference proceedings/anthology/report > Chapter in book/anthology/report
 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
 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
 Scientific Programming with C++
 Supervision of research projects and master thesis topics:
 Defecttracking in Active Smectics
 Modellvergleiche des maschinellen Lernens zur automatischen Applikation von Sitzpersonalisierungsfunktionen
 Scientific Programming with C++
 CMS Research project: Restoration of Binary Images Using the CahnHilliard Equation
 Large sparse linear system
 Modelling Seminar: Fluid particle dynamics
 AMDiS  Workshop
 Math Ma WIA / SCCOMP: Large sparse linear systems: concepts & implementation
 Scientific Programming with C++
 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