Titre :

Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model

Auteur(s) :

Calgaro, Caterina [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Ezzoug, Meriem [Auteur]
Département de Mathématiques [Monastir]
Zahrouni, Ezzeddine [Auteur]
Département de Mathématiques [Monastir]
Université de Carthage (Tunisie) [UCAR]

Titre de la revue :

Communications on Pure and Applied Analysis

Pagination :

429-448

Éditeur :

AIMS American Institute of Mathematical Sciences

Date de publication :

2018-03

ISSN :

1534-0392

Mot(s)-clé(s) en anglais :

convergence
stability
Finite Volume method
Finite Element method
Kazhikhov-Smagulov model

Discipline(s) HAL :

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

Résumé en anglais : [en]

In this paper, we construct a fully discrete numerical scheme for approximating a two-dimensional multiphasic incompressible fluid model, also called the Kazhikhov-Smagulov model. We use a first-order time discretization ...
Lire la suite >In this paper, we construct a fully discrete numerical scheme for approximating a two-dimensional multiphasic incompressible fluid model, also called the Kazhikhov-Smagulov model. We use a first-order time discretization and a splitting in time to allow us the construction of an hybrid scheme which combines a Finite Volume and a Finite Element method. Consequently, at each time step, one only needs to solve two decoupled problems, the first one for the density and the second one for the velocity and pressure. We will prove the stability of the scheme and the convergence towards the global in time weak solution of the model.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL