7 citations · 12 across the 4 of their papers we have counts for
4 papers
p-Wasserstein distances on networks and 3D to 1D convergence
Martin Burger, Ariane Fazeny, Gilles Mordant +1
We study transport distances on metric graphs representing gas networks. Starting from the dynamic formulation of the Wasserstein distance, we review extensions to networks, with a…
Optimal transport on gas networks
Ariane Fazeny, Martin Burger, Jan-Frederik Pietschmann
This paper models gas networks as metric graphs, with isothermal Euler equations at the edges, Kirchhoff's law at interior vertices and time-(in)dependent boundary conditions at bo…
Hypergraph -Laplacians and Scale Spaces
Ariane Fazeny, Daniel Tenbrinck, Kseniia Lukin +1
This paper introduces gradient, adjoint, and -Laplacian definitions for oriented hypergraphs as well as differential and averaging operators for unoriented hypergraphs. These de…
-Laplacian Operators on Hypergraphs
Ariane Fazeny
This thesis generalizes the differential operators on standard oriented graphs and oriented hypergraphs introduced in 10.1137/15M1022793 and arXiv:2007.00325. The extended concepts…