Title :

Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation

Author(s) :

Chainais-Hillairet, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Gallouët, Thomas [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Université libre de Bruxelles [ULB]

Journal title :

Nonlinear Analysis: Real World Applications

Pages :

38-56

Publisher :

Elsevier

Publication date :

2016

ISSN :

1468-1218

English keyword(s) :

Finite volumes
Corrosion model
Scharfetter-Gummel Scheme
Numerical Analysis

HAL domain(s) :

Mathématiques [math]
Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

In this paper, we consider a system of partial differential equations describing the pseudo-stationary state of a dense oxide layer. We investigate the question of existence of a solution to the system and we design a ...
Show more >In this paper, we consider a system of partial differential equations describing the pseudo-stationary state of a dense oxide layer. We investigate the question of existence of a solution to the system and we design a numerical scheme for its approximation. Numerical experiments with real-life data shows the efficiency of the method. Then, the analysis is fulfilled on some simplified models.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL