A damped Newton algorithm for generated Jacobian equations - Archive ouverte HAL Accéder directement au contenu
Rapport (Rapport De Recherche) Année : 2021

A damped Newton algorithm for generated Jacobian equations

Résumé

Generated Jacobian Equations have been introduced by Trudinger [Disc. cont. dyn. sys (2014), pp. 1663-1681] as a generalization of Monge-Ampère equations arising in optimal transport. In this paper, we introduce and study a damped Newton algorithm for solving these equations in the semi-discrete setting, meaning that one of the two measures involved in the problem is finitely supported and the other one is absolutely continuous. We also present a numerical application of this algorithm to the near-field parallel refractor problem arising in non-imaging problems.
Fichier principal
Vignette du fichier
GenJac-arxiv.pdf (990.44 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03116036 , version 1 (20-01-2021)

Identifiants

Citer

Anatole Gallouët, Quentin Merigot, Boris Thibert. A damped Newton algorithm for generated Jacobian equations. [Research Report] Université Grenoble Alpes; Université Paris Sud. 2021. ⟨hal-03116036⟩
305 Consultations
168 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More