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math.AP2020
On the transport limit of singularly perturbed convection-diffusion problems on networks
Herbert Egger, Nora Philippi
We consider singularly perturbed convection-diffusion equations on one-dimensional networks (metric graphs) as well as the transport problems arising in the vanishing diffusion lim…
math.NA2020
A hybrid discontinuous Galerkin method for transport equations on networks
Herbert Egger, Nora Philippi
We discuss the mathematical modeling and numerical discretization of transport problems on one-dimensional networks. Suitable coupling conditions are derived that guarantee conserv…