Theses
For further information please contact the respective thesis advisers.
| Topic | Adviser | Type |
|---|---|---|
| Entwicklung, Untersuchung und Umsetzung einer Finite Volumen Methode zur Simulation der Musterbildung auf wachsenden Ortsgebieten | Gerisch | M.Sc. |
| Umsetzung und Test numerischer Methoden für freie Randwertprobleme aus den Biowissenschaften | Gerisch | B.Sc./M.Sc. |
| Entwicklung und Umsetzung einer Finite Volumen Methode zur Simulation von Modellen mit Kreuzdiffusion | Gerisch | B.Sc. |
| Interpretation of Residual Neural Networks as discretized dynamical systems | Giesselmann | B.Sc |
| A posteriori error estimates for ordinary differential equations | Giesselmann | B.Sc. |
| An energy consistent scheme for a phase field model for fracture mechanics | Giesselmann | M.Sc. |
| A posteriori error estimates for convection-diffusion equations | Giesselmann | M.Sc. |
| Adaptive Abbruchkriterien für iterative lineare Löser | Lang | B.Sc. |
|
Scharfe algebraische und a posteriori Fehlerschranken für h-adaptive Finite Elemente mittels eines Multilevel Ansatzes Prerequisites: Seminar Adaptive FEM |
Lang | M.Sc. |
|
Adaptive Algorithmen für zielorientierte Fehlerschätzung mit verschiedenen Fehlerdarstellungen Prerequisites: Seminar Adaptive FEM |
Lang | M.Sc. |
| Counterexamples of stability of the L2-projection on graded meshes | Tscherpel | B.Sc. |
| Discrete Wavelet Transformation | Tscherpel | B.Sc. |
| The Babuska paradox in fluid equation | Tscherpel | M.Sc. |
| The stability of the L2-projection on quadrilaterals | Tscherpel | M.Sc. |
Former Theses
| Topic | Type |
|---|---|
| Convergence of Moment Approximations of Linear Kinetic Equations describing semiconductors | B.Sc. |
| Comparing Performance of Different Goal Functionals in Solving PDEs Using Neural Networks | B.Sc. |
| Gitterverfeinerungsalgorithmen in 2D und 3D | B.Sc. |
| A priori error estimates for finite volume schemes for cross diffusion | M.Sc. |
| Derivation and finite element approximation of the Serre-Green-Naghdi equations | M.Sc. |
| L2-Projection on Divergence Free Finite Element Spaces | M.Sc. |
| Physics-informed Neural Networks with applications in mechanics | M.Sc. |