Graph gradient flows : from discrete to continuum
Analysis of PDEs
2022-11-08 v1
Abstract
This paper gives a framework to study a continuum limit of a gradient flow on a graph where the number of vertices increases in an appropriate way. As examples we prove the convergence of a discrete total variation flow and a discrete Allen--Cahn flow on discretised tori to their respective continuum limits.
Keywords
Cite
@article{arxiv.2211.03384,
title = {Graph gradient flows : from discrete to continuum},
author = {Yoshikazu Giga and Yves van Gennip and Jun Okamoto},
journal= {arXiv preprint arXiv:2211.03384},
year = {2022}
}
Comments
86 pages, 1 figure