Title :

Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation

Author(s) :

Chainais-Hillairet, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Merlet, Benoît [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Zurek, Antoine [Auteur correspondant]
Reliable numerical approximations of dissipative systems [RAPSODI]

Journal title :

ESAIM: Mathematical Modelling and Numerical Analysis

Pages :

457-480

Publisher :

EDP Sciences

Publication date :

2018

ISSN :

0764-583X

English keyword(s) :

Finite volume scheme
carbonation model
convergence analysis
free-boundary system

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

In this paper we define and study a finite volume scheme for a concrete carbonation model proposed by Aiki and Muntean in [Adv. Math. Sci. Appl. 19 (2009) 109–129]. The model consists in a system of two weakly coupled ...
Show more >In this paper we define and study a finite volume scheme for a concrete carbonation model proposed by Aiki and Muntean in [Adv. Math. Sci. Appl. 19 (2009) 109–129]. The model consists in a system of two weakly coupled parabolic equations in a varying domain whose length is governed by an ordinary differential equation. The numerical sheme is obtained by a Euler discretisation in time and a Scharfetter-Gummel discretisation in space. We establish the convergence of the scheme. As a by-product, we obtain existence of a solution to the model. Finally, some numerical experiments show the efficiency of the scheme.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

MOdèles, Oscillations et SchEmas NUmeriques
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL