We are interested in the long-time behaviour of approximate solutions to anisotropic and
heterogeneous linear advection–diffusion equations in the framework of hybrid finite volume …

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 is …

This article is dedicated to the long time behavior of a finite volume approximation of general
symmetrizable linear hyperbolic system on a bounded domain. In the continuous case this …

We are interested in the discretisation of a drift–diffusion system in the framework of hybrid
finite volume (HFV) methods on general polygonal/polyhedral meshes. The system under …

In this paper, we consider a drift-diffusion system with cross-coupling through the chemical
potentials comprising a model for the motion of finite size ions in liquid electrolytes. The drift …

An implicit Euler finite-volume scheme for an n-species population cross-diffusion system of
Shigesada--Kawasaki--Teramoto-type in a bounded domain with no-flux boundary …

An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth
is analyzed by exploiting its formal gradient-flow structure. The numerical scheme is based …

We are interested in the high-order approximation of anisotropic, potential-driven
advectiondiffusion models on general polytopal partitions. We study two hybrid schemes …

In this paper, a finite volume (TPFA) method is employed to simulate a degenerate breast
cancer model that captures the progressive mutations from a normal breast stem cell to a …

An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling
constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric and not …