A posteriori error estimates for the monodomain model in cardiac electrophysiology

Code:
03/2019
Title:
A posteriori error estimates for the monodomain model in cardiac electrophysiology
Date:
Tuesday 22nd January 2019
Author(s):
Ratti, L.; Verani, M.
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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.