Scalable Block Preconditioners for the Parabolic-Elliptic Bidomain coupling
We review some results on parallel multilevel block preconditioners for the Bidomain model of electrocardiology. This model describes the bioelectric activity of the cardiac tissue in terms of the transmembrane electric potential and the extracellular electric potential and it consists of a system of a parabolic non-linear partial differential equation (PDE) for and an elliptic linear PDE for . The two PDEs are coupled with a system of ordinary differential equations, modeling the cellular...