Convergence of discrete duality finite volume schemes for the cardiac bidomain model

Boris Andreïanov, Mostafa Bendahmane, Kenneth H. Karlsen, Charles Pierre

Type: Article

Publication Date: 2011-01-01

Citations: 15

DOI: https://doi.org/10.3934/nhm.2011.6.195

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.

Locations

Networks and Heterogeneous Media - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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