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arXiv · 1010.2718

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

Boris Andreianov·Mostafa Bendahmane·Kenneth H. Karlsen·Charles Pierre
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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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Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen, Charles Pierre. 2010-10-13. Convergence of discrete duality finite volume schemes for the cardiac bidomain model. https://arxiv.org/abs/1010.2718

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