Simulation of SPDE's for Excitable Media using Finite Elements - Sorbonne Université
Article Dans Une Revue Journal of Scientific Computing Année : 2015

Simulation of SPDE's for Excitable Media using Finite Elements

Résumé

In this paper, we address the question of the discretization of Stochastic Partial Differential Equations (SPDE's) for excitable media. Working with SPDE's driven by colored noise, we consider a numerical scheme based on finite differences in time (Euler-Maruyama) and finite elements in space. Motivated by biological considerations, we study numerically the emergence of reentrant patterns in excitable systems such as the Barkley or Mitchell-Schaeffer models.
Fichier principal
Vignette du fichier
Boulakia_Genadot_Thieullen-hal.pdf (2.88 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01078727 , version 1 (30-10-2014)

Identifiants

Citer

Muriel Boulakia, Alexandre Genadot, Michèle Thieullen. Simulation of SPDE's for Excitable Media using Finite Elements. Journal of Scientific Computing, 2015, 65 (1), pp.25. ⟨10.1007/s10915-014-9960-8⟩. ⟨hal-01078727⟩
743 Consultations
310 Téléchargements

Altmetric

Partager

More