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math.OC2019
A fast approach to optimal transport: The back-and-forth method
Matt Jacobs, Flavien Léger
We present an iterative method to efficiently solve the optimal transportation problem for a class of strictly convex costs which includes quadratic and p-power costs. Given two pr…
math.AP2019
Weak solutions to the Muskat problem with surface tension via optimal transport
Matt Jacobs, Inwon Kim, Alpár R. Mészáros
Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedoglu-Otto and Laux-Otto), we introduce a novel framework to approximate soluti…