Data di Pubblicazione:
2018
Citazione:
Scalable cardiac electro-mechanical solvers and reentry dynamics / P.C. Franzone, L.F. Pavarino, S. Scacchi, S. Zampini (LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING). - In: Domain Decomposition Methods in Science and Engineering XXIV / [a cura di] P.E. Bjørstad, S.C. Brenner, L. Halpern, H.H. Kim, R. Kornhuber, T. Rahman, O.B. Widlund. - [s.l] : Springer Verlag, 2018. - ISBN 9783319938721. - pp. 31-43 (( convegno International Conference on Domain Decomposition Methods tenutosi a Svalbard nel 2017 [10.1007/978-3-319-93873-8_3].
Abstract:
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.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Modeling and Simulation; Engineering (all); Discrete Mathematics and Combinatorics; Control and Optimization; Computational Mathematics
Elenco autori:
P.C. Franzone, L.F. Pavarino, S. Scacchi, S. Zampini
Link alla scheda completa:
Titolo del libro:
Domain Decomposition Methods in Science and Engineering XXIV