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

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

2010-10-13

arxiv.org/abs/1010.2718v1

Mathematics

Numerical Analysis

Scientific paper

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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