2 citations · 5 across the 16 of their papers we have counts for
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math.NA2021
Analysis of a finite-volume scheme for a single-species biofilm model
Christoph Helmer, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a parabolic reaction-diffusion system modeling biofilm growth is analyzed and implemented. The system consists of a degenerate-singular d…
math.NA2021
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric and no…
math.AP2021
Nonlocal cross-diffusion systems for multi-species populations and networks
Ansgar Jüngel, Stefan Portisch, Antoine Zurek
Nonlocal cross-diffusion systems on the torus, arising in population dynamics and neuroscience, are analyzed. The global existence of weak solutions, the weak-strong uniqueness, an…