Numerical simulation of optimal transport paths

TL;DR

This paper presents a numerical method for simulating optimal transport paths from a single source to an atomic measure, involving initial construction and iterative path optimization.

Contribution

It introduces a combined local and global minimization approach for refining optimal transport paths in numerical simulations.

Findings

Successful construction of initial transport paths

Effective path optimization through combined algorithms

Potential for improved transport path accuracy

Abstract

This article provides numerical simulation of an optimal transport path from a single source to an atomic measure of equal total mass. We first construct an initial transport path, and then modify the path as much as possible by using both local and global minimization algorithms.