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Convergence of a finite volume scheme for the bidomain model of cardiac tissue
- Source :
-
Applied Numerical Mathematics . Sep2009, Vol. 59 Issue 9, p2266-2284. 19p. - Publication Year :
- 2009
-
Abstract
- Abstract: We analyze a finite volume scheme for the bidomain model, which is a degenerate reaction–diffusion system modeling electrophysiological waves in cardiac tissue. We establish existence and uniqueness of solutions to the finite volume scheme, and show that it converges to a weak solution of the bidomain model. The convergence proof is based on deriving series of a priori estimates and using a general compactness criterion. [Copyright &y& Elsevier]
- Subjects :
- *FINITE volume method
*NUMERICAL analysis
*ELECTROPHYSIOLOGY
*HEART
Subjects
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 59
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 40631883
- Full Text :
- https://doi.org/10.1016/j.apnum.2008.12.016