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math.NA2023★ 7 cited
Variational convergence of the Scharfetter-Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
Anastasiia Hraivoronska, André Schlichting, Oliver Tse
In this paper, we explore the convergence of the semi-discrete Scharfetter-Gummel scheme for the aggregation-diffusion equation using a variational approach. Our investigation invo…
math.NA2020★ 21 cited
The Scharfetter--Gummel scheme for aggregation-diffusion equations
André Schlichting, Christian Seis
In this paper, we propose a finite-volume scheme for aggregation-diffusion equations based on a Scharfetter--Gummel approximation of the quadratic, nonlocal flux term. This scheme…