Title :

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

Author(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]

Conference title :

International Conference on Finite Volumes for Complex Applications

City :

Bergen

Country :

Norvège

Start date of the conference :

2020-06-15

Journal title :

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

Publication date :

2020-06-10

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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, ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

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

Comment :

8 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL