[Dottorcomp] Insalate di Matematica - M. Trezzi 17/04/24

[Insalate Di Matematica]

Dear all,

We remind you *today*'s appointment of the series of seminars "Insalate di
Matematica".
Here are the details:

*Speaker*: *Manuel Trezzi* (Università degli Studi di Pavia)

*Date and time*: *17th of April 2024, 4:30 pm (CET)*

*Title*: "The Lightning Virtual Element Method"

*Abstract*: The Virtual Element Method (VEM) is a method for discretizing
partial differential equations (PDEs) developed in 2013. This talk
introduces the Lightning Virtual Element Method (LVEM). This new VEM
eliminates the stabilization term by actually computing the basis functions
using rational functions. Thanks to the lightning Laplace solver by N.
Trefethen, the LVEM approximates the basis functions using rational
functions with poles clustered exponentially close to the corners of each
element of the polygonal tessellation. This results in two great
advantages. First, the mathematical analysis of a priori error estimates is
much easier and essentially identical to the one for any other
non-conforming Galerkin discretization. Second, the fact that the lightning
VEM computes the basis functions allows the user to access the point-wise
value of the numerical solution without needing any reconstruction
techniques. The cost of the local construction of the VEM basis is the
implementation price that one has to pay for the advantages of the
lightning VEM method, but the parallelizable nature of this operation will
ultimately result in a cost-efficient scheme compared to standard VEM and
FEM.

*Keywords:* Virtual Element Method, Rational Functions, Stabilization free


*Information to attend in room 3014*
The seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca.


*Information to attend online*
https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad
(password: insalate, 46725283 from phones)

For further information, please visit our website:
https://sites.google.com/view/insalate-di-matematica or contact us at
insalate.matematica a unimib.it. Find us also on our Instagram page:
https://www.instagram.com/insalate_di_matematica23/
<https://www.instagram.com/insalate_di_matematica22/>

The organizers: Ettore Marmo, Simone Gallivanone, Fabio Mastrogiacomo,
Marco Fusari, Tommaso Toti and Matteo Tarocchi.
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