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math.OC2026
A Mollification Approach to Ramified Transport and Tree Shape Optimization
Alberto Bressan, Giacomo Vecchiato, Ludmil Zikatanov
The paper analyzes a mollification algorithm, for the numerical computation of optimal irrigation patterns. This provides a regularization of the standard irrigation cost functiona…
math.OC2023
Weakly coupled systems of eikonal equations for autonomous vehicles
Maria Teresa Chiri, Kenneth D Czuprynski, Ludmil T Zikatanov
In this paper, we study solutions for a weakly coupled system of eikonal equations arising in an optimal path-planning problem with random breakdown. The model considered takes int…