A mixed finite element discretization of dynamical optimal transport

Natale, Andrea; Todeschi, Gabriele

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10915-022-01821-y

Title :

A mixed finite element discretization of dynamical optimal transport

Author(s) :

Natale, Andrea [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire de Mathématiques d'Orsay [LMO]
Todeschi, Gabriele [Auteur]
Méthodes numériques pour le problème de Monge-Kantorovich et Applications en sciences sociales [MOKAPLAN]

Journal title :

Journal of Scientific Computing

Publisher :

Springer Verlag

Publication date :

2022

ISSN :

0885-7474

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

In this paper we introduce a new class of finite element discretizations of the quadratic optimal transport problem based on its dynamical formulation. These generalize to the finite element setting the finite difference ...
Show more >In this paper we introduce a new class of finite element discretizations of the quadratic optimal transport problem based on its dynamical formulation. These generalize to the finite element setting the finite difference scheme proposed by Papadakis et al. [SIAM J Imaging Sci, 7(1):212–238,2014]. We solve the discrete problem using a proximal splitting approach and we show how to modify this in the presence of regularization terms which are relevant for physical data interpolation.Show less >

Language :

Anglais

Popular science :

Non

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