Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics

P. Colli Franzone, L. F. Pavarino, S. Scacchi, Stefano Zampini

Research output: Chapter in Book/Report/Conference proceedingChapter


We present a scalable solver for the three-dimensional cardiac electro-mechanical coupling (EMC) model, which represents, currently, the most complete mathematical description of the interplay between the electrical and mechanical phenomena occurring during a heartbeat. The most computational demanding parts of the EMC model are: the electrical current flow model of the cardiac tissue, called Bidomain model, consisting of two non-linear partial differential equations of reaction-diffusion type; the quasi-static finite elasticity model for the deformation of the cardiac tissue. Our finite element parallel solver is based on: Block Jacobi and Multilevel Additive Schwarz preconditioners for the solution of the linear systems deriving from the discretization of the Bidomain equations; Newton-Krylov-Algebraic-Multigrid or Newton-Krylov-BDDC algorithms for the solution of the non-linear algebraic system deriving from the discretization of the finite elasticity equations. Three-dimensional numerical test on two linux clusters show the effectiveness and scalability of the EMC solver in simulating both physiological and pathological cardiac dynamics.
Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIV
PublisherSpringer Nature
Number of pages13
ISBN (Print)9783319938721
StatePublished - Jan 5 2019


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