Title
Convergence of discrete duality finite volume schemes for the cardiac bidomain model
Abstract
We prove convergence of discrete duality finite volume (DDFV) schemes on distorted meshes for a class of simplified macroscopic bidomain models of the electrical activity in the heart. Both time-implicit and linearised time-implicit schemes are treated. A short description is given of the 3D DDFV meshes and of some of the associated discrete calculus tools. Several numerical tests are presented.
Year
DOI
Venue
2011
10.3934/nhm.2011.6.195
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
Field
DocType
Cardiac electrical activity,bidomain model,finite volume schemes,3D DDFV convergence,degenerate parabolic PDE
Convergence (routing),Bidomain model,Numerical tests,Mathematical optimization,Polygon mesh,Mathematical analysis,Duality (optimization),Finite volume method,Mathematics
Journal
Volume
Issue
ISSN
6
2
1556-1801
Citations 
PageRank 
References 
1
0.38
9
Authors
4
Name
Order
Citations
PageRank
Boris Andreianov1275.70
Mostafa Bendahmane2359.38
Kenneth H. Karlsen311923.76
Charles Pierre493.88