3 papers
math.NA2024
Algorithmic realization of the solution to the sign conflict problem for hanging nodes on hp-hexahedral Nédélec elements
Sebastian Kinnewig, Thomas Wick, Sven Beuchler
In this work, Nédélec elements on locally refined meshes with hanging nodes are considered. A crucial aspect is the orientation of the hanging edges and faces. For non-orientable…
math.NA2024
A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems
Julian Roth, Martyna SoszyÅska, Thomas Richter +1
In this work, we propose and computationally investigate a monolithic space-time multirate scheme for coupled problems. The novelty lies in the monolithic formulation of the multir…
math.NA2024
Numerical modeling and open-source implementation of variational partition-of-unity localizations of space-time dual-weighted residual estimators for parabolic problems
Jan Philipp Thiele, Thomas Wick
In this work, we consider space-time goal-oriented a posteriori error estimation for parabolic problems. Temporal and spatial discretizations are based on Galerkin finite elements…