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Scalable Block Preconditioners for the Parabolic-Elliptic Bidomain coupling

Simone Scacchi — 2013

Bollettino dell'Unione Matematica Italiana

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 $v$ and the extracellular electric potential $u_{e}$ and it consists of a system of a parabolic non-linear partial differential equation (PDE) for $v$ and an elliptic linear PDE for $u_{e}$ . The two PDEs are coupled with a system of ordinary differential equations, modeling the cellular...

Precondizionatori di Schwarz multilivello per il sistema Bidominio e applicazioni in elettrocardiologia

Simone Scacchi — 2009

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana

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