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arXiv · 1901.07468

A posteriori error estimates for the monodomain model in cardiac electrophysiology

Luca Ratti·Marco Verani
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Abstract

We consider the monodomain model, a system of a parabolic semilinear reaction-diffusion equation coupled with a nonlinear ordinary differential equation, arising from the (simplified) mathematical description of the electrical activity of the heart. We derive a posteriori error estimators accounting for different sources of error (space/time discretization and linearization). We prove reliability and efficiency (this latter under a suitable assumption) of the error indicators. Finally, numerical experiments assess the validity of the theoretical results.

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Luca Ratti, Marco Verani. 2019-01-22. A posteriori error estimates for the monodomain model in cardiac electrophysiology. https://arxiv.org/abs/1901.07468

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