Convergence of discrete duality finite volume schemes for the cardiac bidomain model - Archive ouverte HAL Access content directly
Journal Articles Networks and Heterogeneous Media Year : 2011

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

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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.
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Dates and versions

hal-00526047 , version 1 (13-10-2010)
hal-00526047 , version 2 (07-03-2011)

Identifiers

  • HAL Id : hal-00526047 , version 2

Cite

Boris Andreianov, Mostafa Bendahmane, Kenneth Hvistendahl Karlsen, Charles Pierre. Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Networks and Heterogeneous Media, 2011, In Press, pp.1-45. ⟨hal-00526047v2⟩
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