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math.AP2018
A semidiscrete Galerkin scheme for a coupled two-scale elliptic-parabolic system: well-posedness and convergence approximation rates
Martin Lind, Adrian Muntean, Omar Richardson
In this paper, we study the numerical approximation of a coupled system of elliptic-parabolic equations posed on two separated spatial scales. The model equations describe the inte…
math.AP2018
Driven particle flux through a membrane: Two-scale asymptotics of a diffusion equation with polynomial drift
Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean +1
Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined us…