[Dottorcomp] Informal seminar - Lorenzo Mascotto

Andrea Moiola andrea.moiola a unipv.it
Gio 17 Feb 2022 14:20:24 CET


Dear all,
The next "very informal seminar" will be given by
Lorenzo Mascotto (Bicocca)
on Thursday 3rd March, at 11:00 in aula Beltrami.
Title & abstract below.
See you there, best
Andrea, Laura, Lorenzo



Enriching Galerkin methods

This talk is a very naive and gentle introduction on possible ways to
enhance standard Galerkin methods by means of particular nonpolynomial
functions. We first review classical approaches (Extended and Generalized
Finite Element Methods). These schemes are particularly useful when
approximating singular/discontinuous solutions, e.g., in presence of crack
propagations.
Time permitting, we discuss more recent approaches that broaden the
enriching gospel (with a new ``skeletal'' twist) to the case of more
general meshes (Enriched nonconforming Virtual Elements and Hybrid
High-Order Methods).
We try to only sketch the main ideas of the above schemes and reduce the
technical aspects as much as possible.
Required prerequisites are the knowledge of the finite element method and
basic PDE theory.


-- 
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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