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arXiv · 2603.29567

A Mollification Approach to Ramified Transport and Tree Shape Optimization

Alberto Bressan·Giacomo Vecchiato·Ludmil Zikatanov
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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.

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Alberto Bressan, Giacomo Vecchiato, Ludmil Zikatanov. 2026-03-31. A Mollification Approach to Ramified Transport and Tree Shape Optimization. https://arxiv.org/abs/2603.29567

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