A Mollification Approach to Ramified Transport and Tree Shape Optimization
Optimization and Control
2026-04-01 v1 Analysis of PDEs
Abstract
The paper analyzes a mollification algorithm, for the numerical computation of optimal irrigation patterns. This provides a regularization of the standard irrigation cost functional, in a Lagrangian framework. Lower semicontinuity and Gamma-convergence results are proved. The technique is then applied to some numerical optimization problems, related to the optimal shape of tree roots and branches.
Cite
@article{arxiv.2603.29567,
title = {A Mollification Approach to Ramified Transport and Tree Shape Optimization},
author = {Alberto Bressan and Giacomo Vecchiato and Ludmil Zikatanov},
journal= {arXiv preprint arXiv:2603.29567},
year = {2026}
}
Comments
19 pages, 5 figures, submitted