Theses

Seminar, Bachelor and Master Theses

The following list proposes topics for student thesis at the work group. Most topics can be completed as a study, bachelor or master thesis. Further theses in the mentioned subject areas are always possible on request. Please do not hesitate to contact us!

Please note that there are guidelines and Latex templates available to help creating presentations, writing reports, Bachelor's or Master's theses.

Thesis topics

  • Master thesis

    TU Darmstadt, together with the universities of Basel, Bonn and Lugano, develops the free isogeometric boundary element library Bembel, see www.bembel.eu. The library is well-suited for electromagnetic applications in which highly accurate solutions are required. For such problems, the commonly-used IEEE 754 floating-point standard may arise as a bottleneck to the accuracy of the numerical solution, as rounding errors can become dominant. Thus a more flexible number representation is expected to become advantageous. The purpose of this master thesis is to replace the numerical backend of Bembel, currently implemented in the eigen linear algebra library, with MTL, a numerical backend in which the floating-point standard can be exchanged easily.

    The thesis can be supervised by TU Darmstadt, a partner university (e.g. Lugano) or by one of the industrial partners, i.e., SimuNova or Stillwater Supercomputing.

    Supervisor: Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Bachelor thesis, Master thesis

    Due to the growing importance of e-mobility, the efficient simulation and optimization of electric energy converters, in particular electric machines, is becoming increasingly important. In the manufacturing process of these electric machines imperfections and small deviations from the nominal design can occur. In the worst case, these imperfections can lead to a significant decrease in quality or even failure of the machine. To avoid this, the machine can be optimized robustly, i.e., considering the deviations in the machine design. Robust optimization aims to find a machine design which is robust in terms of deviations from the nominal design, i.e., to find an optimum in terms of a goal function J which does not deteriorate significantly for small changes in the design parameters p, compare Fig. 2. In this project an electric machine is simulated using isogeometric analysis and the shape of the machine shall be optimized robustly considering uncertainties, using uncertainty quantification methods like the Monte Carlo method.

    Supervisors: Melina Merkel, M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Bachelor thesis, Master thesis

    The company Signify (former Philips Lighting) in Eindhoven is the world leader in lighting products. Their products are designed and optimized by computer aided design workflows including uncertainty quantification (UQ). UQ is a technique for example used to analyze the impact of manufacturing imperfections on the products. Nowadays, companies aim for six sigma processes, i.e. the variation is assumed to be normally distributed and >99% of all outcomes shall be free of defects.

    This thesis shall analyze, investigate and implement methods for UQ of power electronic and analog circuitry at Signify. This requires to understand the existing simulation workflow at Signify and the (random) influences that may lead to defects. Based on this understanding UQ methods, e.g. (quasi) Monte Carlo, surrogate-based Monte Carlo or polynomial chaos techniques, can be selected and possibly extended if necessary. Finally, an uncertainty quantification workflow shall be established, e.g. by writing code and user interfaces.

    Supervisors: Niklas Georg, M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Master thesis

    Within the last four years, a boundary element simulation framework for the solution of electrostatic, acoustic, and electrodynamic problems for 3D applications called BEMBEL has been developed together with the universities of Twente (Netherlands) and Lugano (Switzerland). The project had a signifficant impact in science and industry, due to its efficient use of the concept of isogeometric analysis within a Galerkin framework. However, many applications require the solution of 2D problems, which BEMBEL does not currently support. This thesis aims to close this gap through the implementation of a fully integrated 2D simulation framework for the numerical solution of the Laplace and Helmholtz equation, build upon existing routines and expert knowledge of the cooperation partners in Twente and Lugano.

    Supervisors: Dr.-Ing. Felix Wolf, Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Seminar paper, Bachelor thesis, Master thesis

    The Finite element method (FEM) in the frequency domain is one of the most powerful methods for the solution of high frequency electromagnetic field problems for resonators, filters, attenuators,etc. In many practical applications, however, the frequency response of the system over a broad frequency band is required.Fast Frequency Sweeping (FFS) is a class of methods used for the estimation of broadband S-parameters based on evaluation of a minimum amount of frequency points. Modern FFS methods include Reduced Basis Methods, Thiele based interpolation, Asymptotic Waveform Evaluation and Vector Fitting. Each of the methods have advantages and disadvantages depending on the specific characteristics of the frequency response of the system.

    Supervisors: PD Dr. rer. nat. Erion Gjonaj, Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Seminar paper, Bachelor thesis, Master thesis

    Isogeometric analysis (IGA) is a finite element method (FEM) using splines for geometry description and basis functions such that the geometry can be exactly represented. Recently, an isogeometric mortar coupling [1] for electromagnetic problems was proposed. It is particularly well suited for the eigenfrequency prediction of superconducting accelerator cavities. Each cell, see Fig. 1, can be represented by a different subdomain but may still share the same discretization. The approach leads to a (stable and spectral correct) saddle-point problem. However, its numerical solution is cumbersome and iterative substructuring methods become attractive. The resulting system is available from a Matlab/Octave code. In this project the finite element tearing and interconnect method (FETI) shall be investigated and standard, possibly low-rank,preconditioners implemented and

    Supervisor: Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Multiscale and multirate problems occur naturally in many applications from electrical engineering, e.g. buck converters. An efficient simulation can be achieved using the concept of Multirate Partial Differential Equations.

    Supervisors: Dr.-Ing. Andreas Pels, Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Bachelor thesis, Master thesis

    In electronics, the most serious failure mechanism is due to electromigrationin the interconnects. This effect shall be modelled and simulated within an existing software environment.

    Supervisors: Dr.-Ing. Thorben Casper, Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

  • Seminar paper, Master thesis

    The focus of this work is the adaptive construction of the polynomial surrogate modelin order to mitigate the curse-of-dimensionality. The efficiency of this approach shall be further improved by employing adjoint-based error measures.

    Supervisors: Niklas Georg, M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Announcement as PDF

2021 Development and validation of a joint multiphysics simulation model of a C-frame press for process analysis and its usefulness For virtual commissioning (external at Siemens)
2021 Numerical Methods for the Solution of the Quasistatic Darwin Formulation
2021 Minimization of Failure Probabilities for Electrical Machines
2021 Numerical modeling and simulation of magneto-mechanical coupling with isogeometric Analysis
2020 Surrogate based optimization with uncertainties
2020 Numerical Analysis of Magneto-Thermal Phenomena in High-Temperature Superconducting Tapes and Coils
2020 Volumetric Modeling and Simulation of Electric Machines for Additive Manufacturing
2020 ParaROCK – A parallel Runge-Kutta Orthogonal Chebyshev method
2020 Parallel-In-TIme Simulation of Electromagnetic Energy Transducers
2020 Implementation of 3D Isogeometric Mortaring
2020 Pareto Optimization for Failure Probabilities
2020 Automated Numerical Characterization of a Synchronous Reluctance Machine (external at Dassault Systems)
2020 Modeling and Optimization of DC-link Capacitors in Automotive High-voltage Systems (external at Porsche)
2019 Iterative Solvers for Complex Linear Systems in the Isogeometric Boundary Element Method
2019 Shape Optimizing a Permanent Magnet Synchronous Machine using Isogeometric Analysis
2019 Efficient Methods for Yield Optimization using CST Microwave Studio
2019 Online Simulation of Magnets for Augmented Reality Applications
2019 Modelling of Superconducting Accelerator Magnets with Finite Elements
2019 Bayesian Methods for Magnetic Field Reconstruction from Measurements
2018 Neue effiziente numerische Verfahren zur Simulation von elektrischen Maschinen (external at Robert Bosch GmbH)
2018 Shape Optimization of an Electron Gun using Isogeometric Analysis
2018 Particle Tracking Using Isogeometric Analysis
2018 Optimization of a Permanent Magnet Synchronous Machine with an Uncertain Driving Cycle
2018 Numerical Simulation of an Optical Grating Coupler with Uncertainties using Adaptive Sparse-Grids based on Adjoint-Error Indicators
2017 Simulation of Electrical Machines with Isogeometric Analysis
2017 Parallel time-domain simulation of differential-algebraic equations with parareal
2017 Design Centering in the Context of High Frequency Simulation (external at CST GmbH)
2016 Paraexp for Electromagnetic Problems
2016 Numerical Calculation of Current Density Distributions in Coils
2016 Analysis of model uncertainties with multilevel Monte Carlo
2015 Reliability Analysis of EM-Components based on Dakota
2015 Field/Circuit Coupling with Onelab
2015 Calculation of the geometry sensitivity of elliptic problems by automatic differentiation
2014 Optimized primal/dual grid pairs for FIT on unstructured grids
2013 Isogeometric Simulation of Lorentz Detuning in Superconducting Linear Accelerators
2013 Analysis of the Index Problem and Environment Configuration in Modelica and FMI (external at Prostep AG)
2012 Nonlinear Material Curve Modeling and Sensitivity Analysis for Magnetoquasistatic Problems
2012 Analysis of the generation of monotonic material curves with compensation splines