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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.NA2024
Optimal error bounds for the two point flux approximation finite volume scheme
Robert Eymard, Thierry Gallouët, Raphaele Herbin
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than belonging to $H^1_0(…