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arXiv · 2211.03384

Graph gradient flows : from discrete to continuum

Yoshikazu Giga·Yves van Gennip·Jun Okamoto
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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.

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Yoshikazu Giga, Yves van Gennip, Jun Okamoto. 2022-11-07. Graph gradient flows : from discrete to continuum. https://arxiv.org/abs/2211.03384

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