[Dottorcomp] Very informal seminar - Mai Huynh - 7.10.2022

[Andrea Moiola]

Dear all,
The next Very Informal Seminar will be given by Mai Huynh at 11:00 on
Friday 7th October in aula Beltrami.
Title and abstract below.
Best regards

Andrea, Laura, Lorenzo
https://sites.google.com/view/very-informal-seminars


Title:
Scalable preconditioners for hybrid discontinuous Galerkin discretizations:
an application to cardiac electrophysiology.

Abstract:
The drive to better understand complex phenomena like cardiac functions has
led to mathematical models that are able to describe the multiscale
structure and dynamics of the heart. The numerical simulation of these
complex cardiac models is very challenging since it requires
high-resolution space and time discretizations, as well as numerical tools
that can handle natural discontinuities (for instance, disconnected cells).

This talk will be divided into two parts: first, we derive a mathematical
formulation of a cardiac microscopic model, starting from Maxwell's
equations.  We will show how physiological discontinuities can be naturally
included through a standard space discretization.

In the second part, we build an ad-hoc non-overlapping domain decomposition
preconditioner for the solution of the associated algebraic system. This
preconditioner relies on the one introduced by Dryja et al., but differs
since it handles a global discontinuous solution across the domain.
We conclude with a quick look at the theoretical convergence and at several
numerical tests that show scalability and robustness of the proposed
solver.



-- 
Andrea Moiola
Dipartimento di Matematica
Università degli Studi di Pavia - Via Ferrata 5 - 27100 Pavia - Italy
Tel. +39 0382 985656      ---      andrea.moiola a unipv.it
http://matematica.unipv.it/moiola/
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