1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2022★ 1 cited
An asymptotic preserving hybrid-dG method for convection-diffusion equations on pipe networks
Herbert Egger, Nora Philippi
We study the numerical approximation of singularly perturbed convection-diffusion problems on one-dimensional pipe networks. In the vanishing diffusion limit, the number and type o…
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…