Finished Projects

We collect our finished BSc, MS and PhD theses of our present and former students here. This also gives an overview about our research activities.

BS Thesis Julius Waschgler The R13 Equations from the Saddle Point Perspective: Analysis and Preconditioned Iterative Solvers 2025 M. Torrilhon / L. Theisen
BS Thesis Jan Ole Habscheid Numerical Treatment of a Thermodynamic Consistent Electrolyte Model 2024 M. Torrilhon / L. Theisen
Seminar Julius Waschgler Numerical Solution to Saddle Point Problems 2024 Lambert Theisen
Seminar Artur Yeritsyan Optimization of Strong-Stability-Preserving Runge-Kutta schemes through Algorithmic Differentiation 2024 Daniel Döhring
MS Thesis Robin Paar Analysis of two shallow water models: existence, uniqueness and an error estimate 2024 S. Noelle / M. Torrilhon
BS Thesis Jan Eifert Auxiliary Space Preconditioning in H(curl): Interfacing and Performance Study 2023 C. Winkelmann / M. Torrilhon
MS Thesis Lukas Netterdon Fokker-Planck Model for the polyatomic Boltzmann Equation 2023 M. Torrilhon
BS Thesis Matthias Geratz Numerical Investigation of the Longshot Hypersonic Nozzle Flow Expansion 2023 T. Magin / M. Torrilhon
MS Thesis Daniel Döhring Optimal Many Stage Explicit Runge-Kutta Methods for Hyperbolic Partial Differential Equations 2022 M. Torrilhon / M. Schlottke-Lakemper
BS Thesis Stefan Berger Density Operator in Eigenvalue Problems with Application in Manifold Interpolation 2022 B. Stamm / M. Torrilhon
MS Thesis Julian Hofmeister Coupled Simulation of Electrolytes Based on Thermodynamic Consistent Models 2022 M. Torrilhon
MS Thesis Donat Weniger Generalized Stefan Problem for Solids and Rarefied Gases 2022 M. Torrilhon
MS Thesis Tamir Dombrovskij Electromechanical Coupling of Elastic Multibody Systems 2022 A. Boucke / M. Torrilhon
MS Thesis Anna Maxion Numerical Properties of Hodgkin-Huxley Models for Human C-Fiber Modelling 2022 M. Torrilhon / R. Rohrig
MS Thesis Tamme Claus Deterministic Reconstruction inElectron Probe Microanalysis using a Flexible Material Parametrization 2021 M. Torrilhon / S. Richter
BS Thesis Philipp Rosendahl Acceleration of numerical calculation of the ground state of an by laser excited chain of rydberg atoms 2021 B. Stamm / M. F. Herbst
PhD Thesis Nikolas Siccha GENERIC, structure preserving integrators and hyperbolic partial differential equations of hydrodynamic type 2021 M. Torrilhon / M. Westdickenberg
Project Thesis Corinna Müller, Matthias Geratz, Celine Heger, Johanna Meyer Evaluation and Implementation of Schrödinger-Type Eigenvalue Problems in Long Rectangular Domains using the Finite Element Method 2021 B. Stamm / L. Theisen
MS Thesis Benjamin Terschanski Simulation of Close-Contact Sublimation 2021 J. Kowalski / M. Torrilhon
MS Thesis Ingo Steldermann On the coupling of thermodynamic and electrodynamic systems 2021 S. Braun
PhD Thesis Jonas Bünger Three-Dimensional Modelling of X-Ray Emission in Electron Probe Microanalysis Based on Deterministic Transport Equations 2021 M. Torrilhon2 / S. Richter
Seminar Alexander Kristof Using a Spectral Inference Network to Solve the Time-Independent Schrödinger Equation for a Two-Dimensional Hydrogen Atom 2021 Lambert Theisen
Seminar Mario Drevers The Crystallization Conjecture 2020 B. Stamm / M. Hassan
MS Thesis Gaurav Achuda Modelling the Two-dimensional X-ray Intensity Distribution in Electron Probe Microanalysis 2020 S. Richter / M. Torrilhon
MS Thesis Philipp Schleich Regularization of Quantum Chemistry on Quantum Computers by means of Explicit Correlation 2020 B. Stamm / J. Kottmann
BS Thesis Nigel Nelles Modelling and numerical Simulation of a chain of neutral atoms coherently coupled to highly excited Rydberg states 2020 B. Stamm
MS Thesis Hendrik Borchardt Iterative Domain Decomposition Methods for Eigenvalue Problems 2020 B. Stamm
PhD Thesis Mohsen Sadr Efficient Monte Carlo description of multi-phase and multi-scale fluid flows in kinetic theory 2020 M. Torrilhon / P. Jenny
MS Thesis Harshit Kapadia Discontinuous Galerkin Schemes for Extended Shallow Water Models 2019 S. Noelle / M. Torrilhon
BS Thesis Yul Eberlein Modellierung der gekoppelten dynamischen Prozessstabilität von dünnwandigen Werkstücken während der Fräsbearbeitung 2019 S. Maslo / M. Torrilhon
MS Thesis Kishore Nori Viscous extension of Moment models for Shallow ows: Theory and Numerics 2019 M. Torrilhon / S. Noelle
Seminar Hendrik Borchardt The Alternating Schwarz Method for solving Eigenvalue Problems by Inverse Power Iteration and Steepest Descent 2019 B. Stamm
MS Thesis Lambert Theisen Simulation of Non-Equilibrium Gas Flows Using the FEniCS Computing Platform 2019 M. Torrilhon
Seminar Arghadwip Paul Reduced Order Modeling for Transport Problems 2019 B. Stamm
Seminar Felix Wilms Influence of interface-mediated elastic relaxation of lithiation precipitates in aluminium electrodes 2019 B. Stamm
Seminar Philipp Schleich How to solve a linear system of equations using a quantum computer 2019 B. Stamm
Seminar Lucia Baltz Continuum Solvation Models 2019 B. Stamm
BS Thesis Pawel Bittner Application of Grassmann Manifold Interpolation and Model Order Reduction to Eigenvalue Problems in Computational Chemistry 2019 B. Stamm
PhD Thesis Neeraj Sarna Entropy Stable Hermite Approximations of the Boltzmann Equation 2019 M. Torrilhon / J. Giesselmann
BS Thesis Niclas Böhmer Solving Kinetic Equations Using Entropic Quadrature and the Discontinuous Galerkin Method 2018 U. Naumann / M. Torrilhon
BS Thesis Markus Zimmermann Mehrzieloptimierung mit Ersatzmodellen und adaptiver Abtastung 2018 M. Torrilhon / S. Bühler
Seminar Luisa Baltz Variational Markov-Chain Monte-Carlo Methods in the context of Computational Chemistry 2018 B. Stamm / M. Hassan
PhD Thesis Alexander Jaust Novel implicit unconditionally stable time-stepping for DGtype methods and related topics 2018 J. Schütz / M. Torrilhon
BS Thesis Markus Zimmermann Multi-objective optimization with surrogate models and adaptive sampling 2018 M. Torrilhon
BS Thesis Christian Geller FEM Implementation of Winding Models for Transformer Simulations 2018 M. Torrilhon
Seminar Sundar Ganesh, Stefanos Mavros Chaotic Sensitivity Analysis using Shadow Operator Inversion 2018 B. Stamm
BS Thesis Lambert Theisen Automatisierte Grenzschichtgittergenerierung für Simulationen konvektiver Kühlung 2018 M. Torrilhon
BS Thesis Tamme Claus Application of the Adjoint Method in Gradient-based Optimization to the M1-Model in Electron Beam Microanalysis 2018 M. Torrilhon
BS Thesis Meike Huber Modellierung des Temperaturverlaufs an sensitiven Strukturen bei minimalinvasiven Eingriffen an der lateralen Schädelbasis 2018 M. Torrilhon
MS Thesis Mohsen Sadr On the Fokker-Planck Description of the Dense Flows 2017 M. Torrilhon
PhD Thesis Birte Schmidtmann On Building Blocks of Finite Volume Methods 2017 M. Torrilhon / A. Marquina
PhD Thesis Carl Zinner Numerics and boundary conditions for 13 moment equations with help from entropy 2017 H. C. Öttinger / M. Torrilhon
MS Thesis Yannick Düren Multiphysik Diskretisierungen basierend auf der Discontinuous Galerkin Methode 2017 M. Torrilhon
BS Thesis Maren Klever Fundamental solutions to a specific class of partical differntial equations 2017 M. Torrilhon
BS Thesis Mathias Tesch Entwicklung einer Methodik zur Erzeugung einer Struktur optischer Grenzflächen zum effizienten Lichttransport 2017 B. Stamm
MS Thesis Christian Bauer Efficient Solvers for Computing the Scalar Magnetic Potential for Multiple Spheres 2017 B. Stamm
PhD Thesis Julian Köllermeier Derivation and Numerical Solution of Hyperbolic Moment Equations for Rarefied Gas Flows 2017 M. Torrilhon / Ruo Li
Seminar Christian Bauer Computing the Scalar Magnetic Potential using Spherical Harmonics 2017 B. Stamm
Seminar Lucia Gullon, Nikhil Chhabra, Ushnish Sengupta Application of automatic differentiation to molecular dynamics 2017 B. Stamm
SEP Internship Natalie Kubicki, Johannes Rousselli, Ruixin Zhou Analyse- und Entwurfsdokument – Visualization Of Molecular Surfaces 2017 B. Stamm
PhD Thesis Armin Westerkamp A Continuous Interior Penalty Method for the Linear Regularized 13-Moment Equations describing Rarefied Gas Flows 2017 M. Torrilhon / H. van Brummelen
BS Thesis Philipp Müller Macroscopic Electro Thermal Simulation of Contact Resistances 2016 M. Torrilhon
MS Thesis Pratyuksh Bansal Fast Solver for Extended Gas Dynamics in 2D based on Maximum Entropy Closure 2016 M. Torrilhon
PhD Thesis Roman Schärer Entropy-based moment closures for rarefied gases and plasmas 2016 M. Torrilhon / J. McDonald
Seminar Mario Koretz Eine spektrale Methode für die Boltzmann-Gleichung 2016 M. Torrilhon
BS Thesis Nikolas Siccha Stability Studies of Combined Finite- Element-/Finite-Difference-Methods for Extended Fluid Equations 2015 M. Torrilhon
MS Thesis Neeraj Sarna Moment Equations for Chemically Reacting Gaseous Mixtures 2015 M. Torrilhon
PhD Thesis Vinay Kumar Gupta Mathematical modeling of rarefied gas-mixtures 2015 M. Torrilhon / H. Struchtrup
MS Thesis Mariia Astrakhantceva Hybride Riemann-Löser für Hyperbolische Erhaltungsgleichungen 2015 M. Torrilhon / B. Schmidtmann
BS Thesis Jannick Wolters Arc Simulations in OpenFOAM 2014 M. Torrilhon
BS Thesis Philipp Milz Parallelization of a coupled 1D-3D solver for the simulation of a heat exchanger in an OpenFOAM environment 2014 M. Torrilhon
BS Thesis Janis Braechter One-Dimensional Modelling of Channel Flows in an OpenFOAM-Solver for Conjugate Heat Transfer between Solids and Fluids 2014 M. Torrilhon
MS Thesis Julian Köllermeier Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods 2014 M. Torrilhon
BS Thesis Lukas Bischoff CFD Simulation of Internal Arc Faults in Gas-Insolated High-Voltage Switchgear 2014 M. Torrilhon
MS Thesis Niklas Mevenkamp Inverse Modeling in Electron Probe Microanalysis based on Deterministic Transport Equations 2013 M. Torrilhon
MS Thesis Armin Westerkamp Finite Element Discretizations for Extended Gas Dynamics 2012 M. Torrilhon
MS Thesis Roman Schärer Numerical Solutions Of Kinetic Equations For Plasma Applications 2011 M. Torrilhon