Titre :

Finite Volume Method for a System of Continuity Equations Driven by Nonlocal Interactions

Auteur(s) :

El Keurti, Anissa [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rey, Thomas [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la manifestation scientifique :

International Conference on Finite Volumes for Complex Applications

Ville :

Bergen

Pays :

Norvège

Date de début de la manifestation scientifique :

2020-06-15

Titre de la revue :

FVCA 2020: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Date de publication :

2020-06-10

Mot(s)-clé(s) en anglais :

Upwind finite volume method
system of aggregation equations
continuity equations
population dynamics
measure-valued solutions

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the work [F. Delarue, F. Lagoutire, N. Vauchelet, ...
Lire la suite >We present a new finite volume method for computing numerical approximations of a system of nonlocal transport equation modeling interacting species. This method is based on the work [F. Delarue, F. Lagoutire, N. Vauchelet, Convergence analysis of upwind type schemes for the aggregation equation with pointy potential, Ann. Henri. Lebesgue 2019], where the nonlocal continuity equations are 10 treated as conservative transport equations with a nonlocal, nonlinear, rough velocity field. We analyze some properties of the method, and illustrate the results with numerical simulations.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Modèles multi-échelles et simulation numérique hybride de semi-conducteurs
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Commentaire :

8 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL