Scalable parallel solvers for cardiac reaction-diffusion models and applications


Coffee Time: 15:30 - 16:00

After a brief introduction to the field of Computational Cardiology and cardiac reentry, we introduce and study some scalable domain decomposition preconditioners for cardiac reaction-diffusion models, discretized with splitting semi-implicit techniques in time and isoparametric finite elements in space. Scalability is achieved by a Multilevel Additive Schwarz preconditioner for the bioelectrical model and a BDDC-Newton-Krylov solver for the mechanical model. The resulting scalable solvers can be applied to the study of both physiological excitation-contraction cardiac dynamics and re-entrant waves. We will also review current applications to a novel cell-by-cell cardiac model which are part of the EuroHPC project Microcard.

Brief Biography

Luca F. Pavarino is a professor of Numerical Analysis at the Department of Mathematics of Università degli studi di Pavia. He received a degree in Mathematics from the University of Pavia (1987) and a PhD in Mathematics from the Courant Institute of Mathematical Sciences, NYU, USA (1992).  His expertise includes scalable numerical methods for Partial Differential Equations (PDEs), domain decomposition methods, parallel iterative solvers, computational cardiology. He works on the development of high-performance cardiac simulations, scalable PDE codes and biomedical text.

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