Bachelor and Master Theses

General Information

IMCS offers a wide range of opportunities for students of civil and environmental engineering and mathematical engineering to write their final theses (bachelor and master) as well as study projects at our institute. Students work closely with the scientific staff of the institute, always within the framework of current research topics in the fields of mathematics and computer-aided simulation. This gives students valuable insights into engineering work and best chances for their future career.

Examples

Modelling and simulation of fiber-reinforced conctrete based on real 3D-CAT-Scans (Master Thesis BAU, 2020 – Dao Viet Anh)

For the modeling and simulation of fiber reinforced concrete, a realistic spatial distribution of the fibers is essential for the quality of the numerical results. The aim of this work was to use the real fiber geometry of a specimen obtained with a CAT to create a finite element model of that specimen. The fibers were modeled as 1D beams and the concrete as a 3D continuum and connected with coupling algorithms developed at IMCS. The results confirm that the position of the fibers is essential for their reinforcing effect and, especially in fiber-reinforced concrete, care must be taken to ensure that the fibers do not arrange themselves in unwanted clusters.

Oriented random rotations for the modelling of fiber-reinforced materials
(Student research project, 2020 - Willi Helbig)

For the modeling and simulation of fiber-reinforced materials, a realistic spatial distribution of the fibers is essential for the quality and usability of the numerical results. In real materials, however, the fibers are usually not evenly distributed, but have a preferred direction. This may be the case due to manufacturing restrictions or targeted improvement of material properties. This student research project investigated the creation of these random orientations along a preferred direction. For this purpose a specially developed parallel software for Monte Carlo simulation of the rotations was successfully employed, and run on the institute's own High Performance Computing (HPC) cluster.

Poster von Studien- und Projektarbeiten

Simulating surface to air missile defence: Creating an interface between Excel and the 3D Simulation Tool STK - Lukas Fröhlich, Benedikt Harder and Alexander Popp

Development of a shared-memory parallel solver for contact mechanics - Henrik Barsch, Nora Hagmeyer and Alexander Popp

Oriented random rotations for the modelling of fiber-reinforced materiales - Willi Helbig, Ivo Steinbrecher and Alexander Popp

Quantifying the influence of uncertainty in profilometric data on the contact pressure of rough surfaces - Svenja Heitmann, Nora Hagmeyer and Alexander Popp

Algorithmic extraction of 1D curves based on CT scans of fiber reinforced concrete - Jennifer Böltz, Ivo Steinbrecher and Alexander Popp

Analyse iterativer Verfahren zur Lösung von linearen Gleichungen in Matlab - Max Bahnmüller, Matthias Mayr and Alexander Popp

Interested?

If you are interested, depending on the desired focus of the student project, please contact directly

Prof. Thomas Apel (Mathematics) or
Prof. Alexander Popp (Computer-Based Simulation).

List of Completed Student Projects

M.Sc. Theses:

Lars Meyer	Comparison of Constraint Enforcement Strategies for Immersed Finite Element Methods (Master thesis with the University of Colorado Boulder, 2020)
Aakash Dhar Dwivedi	Modeling a Stented Artery using geometrically Exact Beam Theory (Master's thesis with Technical University Munich 2022)
Christoph Ritzert	Generalized Nitsche and Penalty contact constraint enforcement in the context of immersed hierarchical B-Splines (Master thesis with the University of Colorado Boulder, 2020)
Dao Viet Anh	Modellierung und Simulation von faserverstärktem Beton anhand realer 3D-Computertomografie-Scans (2020)
Selina Lorenz	Numerisches Lösen eines Optimalsteuerproblems mit dem vereinfachten Signorini-Problem als Nebenbedingung (2020)
Wilhelm Böhme	Finite-Elemente-Netze ohne Maximalwinkelbedingung in dreidimensionalen Gebieten (2020)
Ibrahim Alola	Berechnung von Eigenschwingungsformen von Platten mittels FEM (2019)
Michael Kissner	Investigation of Heterotic String Vacua using Gauged Linear Sigma Models (Masterarbeit mit LMU, 2012)
Edwin Mai	Datenreduktion für Large Scale Klassifikations-Probleme (Masterarbeit bei Cassidian, 2012)
Volker Kempf	Calculation of the Temperature Field in Welding with a Pulsed Power Source (Masterarbeit mit Linde AG, 2011)
Alexander Günther	Optimale Steuerung der Dirichlet-Randdaten - Finite-Elemente-Diskretisierung und Implementierung (2011)
Bernhard Gehrmann	Berechnung zur Energieeffizienzbewertung von Gebäuden (2011)
Leonid Blank	Numerische Lösung der Navier-Stokes-Gleichungen: Verifikation einer 2D-Lösung (2011)
Matthias Götz	Eine adaptive stabilisierte Finite-Elemente-Methode für ein Diffusions-Konvektions-Reaktions-Problem (Diplomarbeit 2008)
Paschraphon Ampunant	Numerische Simulation Regen-Wind induzierter Seilschwingungen (Diplomarbeit 2006)

B.Sc. Theses:

Jefferey Weber	Implementierung von Physik-Informierten Neuronalen Netzen in der Elastizitätstheorie under Verwendung 2D-Rechengebieten (2022)
Jacques Choquet	Simulationsgestützte Machine Learning-Ansätze zur Vorhersage der maximalen Durchbiegung eines Träger (2021)
Vu Quoc Phong	Implementation of truss elements inside the DUNE framework (2021)
Henrik Bartsch	Implementing the finite element method for quantum graphs (2021)
Svenja Heitmann	Adaptive Interpolation von Funktionen mittels neuronaler Netze (2021)
Leon Eckardt	Untersuchung von nicht form-regulären finiten Elementen (2019)
Dao Viet Anh	Modellierung von Balken-, Festkörper-Interaktionen mit der Finite-Elemente-Methode (2018)
Christoph Ritzert	Bestimmung kritischer Zeitschrittweiten in Struktur-Simulationen (2018)
Selina Lorenz	Lösung eines elliptischen Randsteuerproblems (2018)
Wilhelm Böhme	Finite-Elemente-Lösung einer Randwertaufgabe mit nichtglatter Randbedingung (2018)
Oliver Ermertz	Auswahl eines Netzgenerators zur Kopplung mit FEniCS (2015)
Christian Messer	FEM-Lösung ausgewählter quasilinearer partieller Differentialgleichungen mit Fokus auf Existenz und Eindeutigkeit (2014)
Andreas Huber	Experimentelle und numerische Analyse dreidimensionaler instationärer Rohrströmungen (2014)
Jan-Hendrik Webert	An optimised algorithm for the determination of solar array rotation profiles for temperature critical missions (with Astrium, 2013)
Christian Kasten	Implementierung eines Programms zur anisotropen Netzverfeinerung (2013)
Max Prachhardt	Bestimmung der beidseitigen Randkonturen von Schleppkurvenflächen mehrgliedriger Fahrzeuge (2011)
David Droste	Computation of the resistance of a cracked electrical conductor (at ENSTA Paris, 2010)
Eric Gebhardt	Implementierung eines Netz-Managers für 3D Finite-Elemente-Netze (2011)
Edwin Mai	Approximation der Brennphase ungelenkter Raketen (mit Eurocopter, 2010)
Alexander Günther	Generierung eines speziellen dreidimensionalen Finite-Elemente-Netzes (2010)
Bernhard Gehrmann	Berechnung von Temperaturspannungen während der Hydratation von Beton (2009)
Leonid Blank	Vergleich von Zeitintegrationsverfahren für parameterinduzierte Seilschwingungen (2009)

Student research projects:

Georg Götzl	Generation of surfaces and extrusion of 2D meshes for isogeometric analysis with B-splines / NURBS (2022)
Svenja Heitmann	Quantifying the influence of uncertainty in profilometric data on the contact pressure between rough surfaces (2021)
Lukas Fröhlich und Benedikt Harder	Simulation of ground-based air defense - Setting up an interface between Microsoft Excel and AGI STK (with CC SBAMD, 2021)
Henrik Bartsch	Development of a shared-memory parallel solver for contact mechanics of rough surfaces (2020)
Willi Helbig	Oriented random rotations for the modelling of fiber-reinforced materials (2020)
Wilhelm Böhme	Implementierung eines a-posteriori Fehlerschätzers für die Stokes Gleichungen (Projektarbeit ME 2019)