A Mollification Approach to Ramified Transport and Tree Shape Optimization
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912990904713216 |
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| author | Bressan, Alberto Vecchiato, Giacomo Zikatanov, Ludmil |
| author_facet | Bressan, Alberto Vecchiato, Giacomo Zikatanov, Ludmil |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29567 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Mollification Approach to Ramified Transport and Tree Shape Optimization Bressan, Alberto Vecchiato, Giacomo Zikatanov, Ludmil Optimization and Control Analysis of PDEs 49Q22, 49Q20, 49Q10, 49M99, 65K10 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. |
| title | A Mollification Approach to Ramified Transport and Tree Shape Optimization |
| topic | Optimization and Control Analysis of PDEs 49Q22, 49Q20, 49Q10, 49M99, 65K10 |
| url | https://arxiv.org/abs/2603.29567 |