Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Lehrenfeld, Christoph Prof. Dr."
Now showing items 1-5 of 5
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Higher Order Unfitted Space-Time Finite Element Methods for Moving Domain Problems
(2025-01-13)Finite Element methods are a well-established tool for simulating the behaviour of systems from various applications stemming from physics, engineering, and other sciences. In recent years, Unfitted Finite Element methods ... -
A Wasserstein-like Distance on Vector Fields
(2023-10-06)We introduce a new distance on the space of vector fields over a Riemannian manifold that is motivated by the construction and properties of the Wasserstein distance. The construction relies on a particular metric on the ... -
High-order Unfitted Discretizations for Partial Differential Equations Coupled with Geometric Flow
(2023-02-17)We consider a moving free boundary problem where a diffusion equation posed on an evolving domain bounded by a smooth surface is coupled with a mean curvature flow of the bounding surface. The evolution velocity of the ... -
Learned infinite elements for helioseismology
(2021-12-16)This thesis presents efficient techniques for integrating the information contained in the Dirichlet-to-Neumann (DtN) map of time-harmonic waves propagating in a stratified medium into finite element discretizations. This ... -
Solution approaches for facility layout problems
(2021-01-29)The chief executive officers of real-world factories aim to implement a cost efficient production. The layout of the operating equipment is one of the main influencing factors and this leads to facility layout problems. ...