3 papers
math.NA2018
Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport
Anita Gerstenmayer, Ansgar Jüngel
A structure-preserving implicit Euler finite-element scheme for a degenerate cross-diffusion system for ion transport is analyzed. The scheme preserves the nonnegativity and upper…
math.NA2018
Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport
Clément Cancès, Claire Chainais-Hillairet, Anita Gerstenmayer +1
An implicit Euler finite-volume scheme for a degenerate cross-diffusion system describing the ion transport through biological membranes is analyzed. The strongly coupled equations…
math.AP2017
Analysis of a degenerate parabolic cross-diffusion system for ion transport
Anita Gerstenmayer, Ansgar Jüngel
A cross-diffusion system describing ion transport through biological membranes or nanopores in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. The io…