3 papers
math.PR2026
Hydrodynamic limits of finite range exclusion processes
Arne Berrens, Volker Betz, Jan Giesselmann +1
We consider variants of the simple symmetric exclusion process (SSEP) where particles are 'large'; while in the SSEP, each lattice point is either occupied or not occupied by a sin…
math.NA2026
Convergence of a Control Volume Finite Element scheme for a cross-diffusion system modeling ion transport
Arne Berrens, Robert Eymard
An approximation of a system coupling the cross-diffusion of chemical species within a solvent, subjected to an electric field, is obtained through a control volume finite element…
math.NA2025
A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport
Arne Berrens, Jan Giesselmann
We derive a reliable a posteriori error estimate for a cell-centered finite volume scheme approximating a cross-diffusion system modeling ion transport through nanopores. To this e…