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Simulation of SPDEs for Excitable Media Using Finite Elements

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Date
2015
Dewey
Analyse
Sujet
Stochastic partial differential equation; Finite element method; Excitable media
Journal issue
Journal of Scientific Computing
Volume
65
Number
1
Publication date
2015
Article pages
171-195
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s10915-014-9960-8
URI
https://basepub.dauphine.fr/handle/123456789/14433
Collections
  • CEREMADE : Publications
Metadata
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Author
Boulakia, Muriel
Genadot, Alexandre
Thieullin, Michèle
Type
Article accepté pour publication ou publié
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.

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