Long-time behaviour of hybrid finite volume ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches
Auteur(s) :
Chainais-Hillairet, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Herda, Maxime [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Lemaire, Simon [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Moatti, Julien [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Herda, Maxime [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Lemaire, Simon [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Moatti, Julien [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Titre de la revue :
Numerische Mathematik
Pagination :
963-1016
Éditeur :
Springer Verlag
Date de publication :
2022
ISSN :
0029-599X
Mot(s)-clé(s) en anglais :
Finite volume schemes
General meshes
Anisotropic advection-diffusion equations
Long-time behaviour
Entropy method
General meshes
Anisotropic advection-diffusion equations
Long-time behaviour
Entropy method
Discipline(s) HAL :
Mathématiques [math]/Analyse numérique [math.NA]
Résumé en anglais : [en]
We are interested in the long-time behaviour of approximate solutions to anisotropic and heterogeneous linear advection-diffusion equations in the framework of hybrid finite volume (HFV) methods on general polygonal/polyhedral ...
Lire la suite >We are interested in the long-time behaviour of approximate solutions to anisotropic and heterogeneous linear advection-diffusion equations in the framework of hybrid finite volume (HFV) methods on general polygonal/polyhedral meshes. We consider two linear methods, as well as a new, nonlinear scheme, for which we prove the existence and the positivity of discrete solutions. We show that the discrete solutions to the three schemes converge exponentially fast in time towards the associated discrete steady-states. To illustrate our theoretical findings, we present some numerical simulations assessing long-time behaviour and positivity. We also compare the accuracy of the schemes on some numerical tests in the stationary case.Lire moins >
Lire la suite >We are interested in the long-time behaviour of approximate solutions to anisotropic and heterogeneous linear advection-diffusion equations in the framework of hybrid finite volume (HFV) methods on general polygonal/polyhedral meshes. We consider two linear methods, as well as a new, nonlinear scheme, for which we prove the existence and the positivity of discrete solutions. We show that the discrete solutions to the three schemes converge exponentially fast in time towards the associated discrete steady-states. To illustrate our theoretical findings, we present some numerical simulations assessing long-time behaviour and positivity. We also compare the accuracy of the schemes on some numerical tests in the stationary case.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
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