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Simulation of SPDEs for Excitable Media Using Finite Elements

Boulakia, Muriel; Genadot, Alexandre; Thieullin, Michèle (2015), Simulation of SPDEs for Excitable Media Using Finite Elements, Journal of Scientific Computing, 65, 1, p. 171-195. http://dx.doi.org/10.1007/s10915-014-9960-8

Type
Article accepté pour publication ou publié
Date
2015
Journal name
Journal of Scientific Computing
Volume
65
Number
1
Publisher
Springer
Pages
171-195
Publication identifier
Metadata
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Author(s)
Boulakia, Muriel

Genadot, Alexandre

Thieullin, Michèle
Abstract (EN)
In this paper, we address the question of the discretization of stochastic partial differential equations (SPDEs) for excitable media. Working with SPDEs 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.
Subjects / Keywords
Stochastic partial differential equation; Finite element method; Excitable media