2 papers
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…