Convergence of a finite volume scheme for the bidomain model of cardiac tissue

• Autores: Mostafa Bendahmane, Kenneth H. Karlsen
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 59, Nº. 9, 2009, págs. 2266-2284
• Idioma: inglés
• DOI: 10.1016/j.apnum.2008.12.016
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• Resumen

  • 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 Lp compactness criterion.