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9 papers · 2 filters
A posteriori error estimates for wave maps into spheres
Jan Giesselmann, Elena Mäder-Baumdicker, David Jakob Stonner
We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on the angular momentum formulation. Our analy…
A Third-Order Weighted Essentially Non-Oscillatory Scheme in Optimal Control Problems Governed by Nonlinear Hyperbolic Conservation Laws
David Frenzel, Jens Lang
The weighted essentially non-oscillatory (WENO) methods are popular and effective spatial discretization methods for nonlinear hyperbolic partial differential equations. Although t…
Probabilistic Constrained Optimization on Flow Networks
Michael Schuster, Elisa Strauch, Martin Gugat +1
Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks.…
A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
Nikita Kruk, José A. Carrillo, Heinz Koeppl
The continuum description of active particle systems is an efficient instrument to analyze a finite size particle dynamics in the limit of a large number of particles. However, it…
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
Seshadri Basava, Katrin Mang, Mirjam Walloth +2
In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To…
On the stability of harmonic mortar methods with application to electric machines
Herbert Egger, Mané Harutyunyan, Melina Merkel +1
Harmonic stator-rotor coupling offers a promising approach for the interconnection of rotating subsystems in the simulation of electric machines. This paper studies the stability o…