A model-based block-triangular preconditioner for the Bidomain system in electrocardiology

@article{GerardoGiorda2009AMB,
  title={A model-based block-triangular preconditioner for the Bidomain system in electrocardiology},
  author={Luca Gerardo-Giorda and L. Mirabella and Fabio Nobile and Mauro Perego and Alessandro Veneziani},
  journal={J. Comput. Physics},
  year={2009},
  volume={228},
  pages={3625-3639}
}
We introduce a preconditioner for the solution of the Bidomain system governing the propagation of action potentials in the myocardial tissue. The Bidomain model is a degenerate parabolic set of nonlinear reaction-diffusion equations. The nonlinear term describes the ion flux at the cellular level. The degenerate nature of the problem results in a severe ill conditioning of its discretization. Our preconditioning strategy is based on a suitable adaptation of the Monodomain model, a simplified… CONTINUE READING