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.

SeminarArtur YeritsyanOptimization of Strong-Stability-Preserving Runge-Kutta schemes through Algorithmic Differentiation2024Daniel Döhring
MS ThesisRobin PaarAnalysis of two shallow water models: existence, uniqueness and an error estimate2024S. Noelle / M. Torrilhon
BS ThesisJan EifertAuxiliary Space Preconditioning in H(curl): Interfacing and Performance Study2023C. Winkelmann / M. Torrilhon
MS ThesisLukas NetterdonFokker-Planck Model for the polyatomic Boltzmann Equation2023M. Torrilhon
BS ThesisMatthias GeratzNumerical Investigation of the Longshot Hypersonic Nozzle Flow Expansion2023T. Magin / M. Torrilhon
MS ThesisDaniel DöhringOptimal Many Stage Explicit Runge-Kutta Methods for Hyperbolic Partial Differential Equations2022M. Torrilhon / M. Schlottke-Lakemper
BS ThesisStefan BergerDensity Operator in Eigenvalue Problems with Application in Manifold Interpolation2022B. Stamm / M. Torrilhon
MS ThesisJulian HofmeisterCoupled Simulation of Electrolytes Based on Thermodynamic Consistent Models2022M. Torrilhon
MS ThesisDonat WenigerGeneralized Stefan Problem for Solids and Rarefied Gases2022M. Torrilhon
MS ThesisTamir DombrovskijElectromechanical Coupling of Elastic Multibody Systems2022A. Boucke / M. Torrilhon
MS ThesisAnna MaxionNumerical Properties of Hodgkin-Huxley Models for Human C-Fiber Modelling2022M. Torrilhon / R. Rohrig
MS ThesisTamme ClausDeterministic Reconstruction inElectron Probe Microanalysis using a Flexible Material Parametrization2021M. Torrilhon / S. Richter
BS ThesisPhilipp RosendahlAcceleration of numerical calculation of the ground state of an by laser excited chain of rydberg atoms2021B. Stamm / M. F. Herbst
PhD ThesisNikolas SicchaGENERIC, structure preserving integrators and hyperbolic partial differential equations of hydrodynamic type2021M. Torrilhon / M. Westdickenberg
Project ThesisCorinna Müller, Matthias Geratz, Celine Heger, Johanna MeyerEvaluation and Implementation of Schrödinger-Type Eigenvalue Problems in Long Rectangular Domains using the Finite Element Method2021B. Stamm / L. Theisen
MS ThesisBenjamin TerschanskiSimulation of Close-Contact Sublimation2021J. Kowalski / M. Torrilhon
MS ThesisIngo SteldermannOn the coupling of thermodynamic and electrodynamic systems2021S. Braun
PhD ThesisJonas BüngerThree-Dimensional Modelling of X-Ray Emission in Electron Probe Microanalysis Based on Deterministic Transport Equations2021M. Torrilhon2 / S. Richter
SeminarAlexander KristofUsing a Spectral Inference Network to Solve the Time-Independent Schrödinger Equation for a Two-Dimensional Hydrogen Atom2021Lambert Theisen
SeminarMario DreversThe Crystallization Conjecture2020B. Stamm / M. Hassan
MS ThesisGaurav AchudaModelling the Two-dimensional X-ray Intensity Distribution in Electron Probe Microanalysis2020S. Richter / M. Torrilhon
MS ThesisPhilipp SchleichRegularization of Quantum Chemistry on Quantum Computers by means of Explicit Correlation2020B. Stamm / J. Kottmann
BS ThesisNigel NellesModelling and numerical Simulation of a chain of neutral atoms coherently coupled to highly excited Rydberg states2020B. Stamm
MS ThesisHendrik BorchardtIterative Domain Decomposition Methods for Eigenvalue Problems2020B. Stamm
PhD ThesisMohsen SadrEfficient Monte Carlo description of multi-phase and multi-scale fluid flows in kinetic theory2020M. Torrilhon / P. Jenny
MS ThesisHarshit KapadiaDiscontinuous Galerkin Schemes for Extended Shallow Water Models2019S. Noelle / M. Torrilhon
BS ThesisYul EberleinModellierung der gekoppelten dynamischen Prozessstabilität von dünnwandigen Werkstücken während der Fräsbearbeitung2019S. Maslo / M. Torrilhon
MS ThesisKishore NoriViscous extension of Moment models for Shallow ows: Theory and Numerics2019M. Torrilhon / S. Noelle
SeminarHendrik BorchardtThe Alternating Schwarz Method for solving Eigenvalue Problems by Inverse Power Iteration and Steepest Descent2019B. Stamm
MS ThesisLambert TheisenSimulation of Non-Equilibrium Gas Flows Using the FEniCS Computing Platform2019M. Torrilhon
SeminarArghadwip PaulReduced Order Modeling for Transport Problems2019B. Stamm
SeminarFelix WilmsInfluence of interface-mediated elastic relaxation of lithiation precipitates in aluminium electrodes2019B. Stamm
SeminarPhilipp SchleichHow to solve a linear system of equations using a quantum computer2019B. Stamm
SeminarLucia Baltz Continuum Solvation Models2019B. Stamm
BS ThesisPawel BittnerApplication of Grassmann Manifold Interpolation and Model Order Reduction to Eigenvalue Problems in Computational Chemistry2019B. Stamm
PhD ThesisNeeraj SarnaEntropy Stable Hermite Approximations of the Boltzmann Equation2019M. Torrilhon / J. Giesselmann
BS ThesisNiclas BöhmerSolving Kinetic Equations Using Entropic Quadrature and the Discontinuous Galerkin Method2018U. Naumann / M. Torrilhon
BS ThesisMarkus ZimmermannMehrzieloptimierung mit Ersatzmodellen und adaptiver Abtastung2018M. Torrilhon / S. Bühler
SeminarLuisa BaltzVariational Markov-Chain Monte-Carlo Methods in the context of Computational Chemistry2018B. Stamm / M. Hassan
PhD ThesisAlexander JaustNovel implicit unconditionally stable time-stepping for DGtype methods and related topics2018J. Schütz / M. Torrilhon
BS ThesisMarkus ZimmermannMulti-objective optimization with surrogate models and adaptive sampling2018M. Torrilhon
BS ThesisChristian GellerFEM Implementation of Winding Models for Transformer Simulations2018M. Torrilhon
SeminarSundar Ganesh, Stefanos MavrosChaotic Sensitivity Analysis using Shadow Operator Inversion2018B. Stamm
BS ThesisLambert Theisen Automatisierte Grenzschichtgittergenerierung für Simulationen konvektiver Kühlung2018M. Torrilhon
BS ThesisTamme Claus Application of the Adjoint Method in Gradient-based Optimization to the M1-Model in Electron Beam Microanalysis2018M. Torrilhon
BS ThesisMeike HuberModellierung des Temperaturverlaufs an sensitiven Strukturen bei minimalinvasiven Eingriffen an der lateralen Schädelbasis2018M. Torrilhon
MS ThesisMohsen SadrOn the Fokker-Planck Description of the Dense Flows2017M. Torrilhon
PhD ThesisBirte SchmidtmannOn Building Blocks of Finite Volume Methods2017M. Torrilhon / A. Marquina
PhD ThesisCarl ZinnerNumerics and boundary conditions for 13 moment equations with help from entropy2017H. C. Öttinger / M. Torrilhon
MS ThesisYannick DürenMultiphysik Diskretisierungen basierend auf der Discontinuous Galerkin Methode2017M. Torrilhon
BS ThesisMaren KleverFundamental solutions to a specific class of partical differntial equations2017M. Torrilhon
BS ThesisMathias TeschEntwicklung einer Methodik zur Erzeugung einer Struktur optischer Grenzflächen zum effizienten Lichttransport2017B. Stamm
MS ThesisChristian BauerEfficient Solvers for Computing the Scalar Magnetic Potential for Multiple Spheres2017B. Stamm
PhD ThesisJulian KöllermeierDerivation and Numerical Solution of Hyperbolic Moment Equations for Rarefied Gas Flows2017M. Torrilhon / Ruo Li
SeminarChristian Bauer Computing the Scalar Magnetic Potential using Spherical Harmonics2017B. Stamm
SeminarLucia Gullon, Nikhil Chhabra, Ushnish SenguptaApplication of automatic differentiation to molecular dynamics2017B. Stamm
SEP InternshipNatalie Kubicki, Johannes Rousselli, Ruixin ZhouAnalyse- und Entwurfsdokument – Visualization Of Molecular Surfaces2017B. Stamm
PhD ThesisArmin WesterkampA Continuous Interior Penalty Method for the Linear Regularized 13-Moment Equations describing Rarefied Gas Flows2017M. Torrilhon / H. van Brummelen
BS ThesisPhilipp MüllerMacroscopic Electro Thermal Simulation of Contact Resistances2016M. Torrilhon
MS ThesisPratyuksh BansalFast Solver for Extended Gas Dynamics in 2D based on Maximum Entropy Closure2016M. Torrilhon
PhD ThesisRoman SchärerEntropy-based moment closures for rarefied gases and plasmas 2016M. Torrilhon / J. McDonald
SeminarMario KoretzEine spektrale Methode für die Boltzmann-Gleichung2016M. Torrilhon
BS ThesisNikolas SicchaStability Studies of Combined Finite- Element-/Finite-Difference-Methods for Extended Fluid Equations2015M. Torrilhon
MS ThesisNeeraj SarnaMoment Equations for Chemically Reacting Gaseous Mixtures2015M. Torrilhon
PhD ThesisVinay Kumar GuptaMathematical modeling of rarefied gas-mixtures2015M. Torrilhon / H. Struchtrup
MS ThesisMariia AstrakhantcevaHybride Riemann-Löser für Hyperbolische Erhaltungsgleichungen2015M. Torrilhon / B. Schmidtmann
BS ThesisJannick WoltersArc Simulations in OpenFOAM2014M. Torrilhon
BS ThesisPhilipp MilzParallelization of a coupled 1D-3D solver for the simulation of a heat exchanger in an OpenFOAM environment2014M. Torrilhon
BS ThesisJanis BraechterOne-Dimensional Modelling of Channel Flows in an OpenFOAM-Solver for Conjugate Heat Transfer between Solids and Fluids2014M. Torrilhon
MS ThesisJulian KöllermeierHyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods2014M. Torrilhon
BS ThesisLukas BischoffCFD Simulation of Internal Arc Faults in Gas-Insolated High-Voltage Switchgear2014M. Torrilhon
MS ThesisNiklas Mevenkamp Inverse Modeling in Electron Probe Microanalysis based on Deterministic Transport Equations2013M. Torrilhon
MS ThesisArmin WesterkampFinite Element Discretizations for Extended Gas Dynamics2012M. Torrilhon
MS ThesisRoman SchärerNumerical Solutions Of Kinetic Equations For Plasma Applications2011M. Torrilhon