@inproceedings{55a1e48b7650436286c71956eb22e5b8,
title = "Tpfa finite volume approximation of wasserstein gradient flows",
abstract = "Numerous infinite dimensional dynamical systems arising in different fields have been shown to exhibit a gradient flow structure in the Wasserstein space. We construct Two Point Flux Approximation Finite Volume schemes discretizing such problems which preserve the variational structure and have second order accuracy in space. We propose an interior point method to solve the discrete variational problem, providing an efficient and robust algorithm. We present two applications to test the scheme and show its order of convergence.",
keywords = "Energy diminishing scheme, Wasserstein gradient flows",
author = "Andrea Natale and Gabriele Todeschi",
note = "Publisher Copyright: {\textcopyright} The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020.; 9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020 ; Conference date: 15-06-2020 Through 19-06-2020",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-3-030-43651-3\_16",
language = "English",
isbn = "9783030436506",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "193--201",
editor = "Robert Kl{\"o}fkorn and Eirik Keilegavlen and Radu, \{Florin A.\} and J{\"u}rgen Fuhrmann",
booktitle = "Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, FVCA 2020",
}