A posteriori error estimates for the monodomain model in cardiac electrophysiology
Numerical Analysis
2024-12-20 v1 Numerical Analysis
Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1901.07468,
title = {A posteriori error estimates for the monodomain model in cardiac electrophysiology},
author = {Luca Ratti and Marco Verani},
journal= {arXiv preprint arXiv:1901.07468},
year = {2024}
}