[Dottorcomp] Seminari di Matematica Applicata. Martedì 26 aprile. Euan Spence.

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 26 aprile 2022, alle ore 16, presso l'aula Beltrami del
Dipartimento di Matematica,

Euan Spence (University of Bath)terrà un seminario dal titolo:

The Helmholtz boundary element method does not suffer from the pollution
effect
Il seminario verrà anche trasmesso in diretta su zoom al link

https://us02web.zoom.us/j/83830037042?pwd=bWx6UlV2aE9pL1RqK1NLMnJyUFhDdz09

Meeting ID: 838 3003 7042
Passcode: 882453

Abstract.

In d dimensions, approximating an arbitrary function oscillating with
frequency less than or equal to k requires ~ k^d degrees of freedom. A
numerical method for solving the Helmholtz equation (with wavenumber k and
in d dimensions) suffers from the pollution effect if, as k increases, the
total number of degrees of freedom needed to maintain accuracy grows faster
than this natural threshold (i.e., faster than k^d for domain-based
formulations, such as finite element methods, and k^{d-1} for
boundary-based formulations, such as boundary element methods).

It is well known that the h-version of the finite element method (FEM)
suffers from the pollution effect. In contrast, at least empirically, the
h-version of the boundary element method (BEM) does not suffer from the
pollution effect, but this has not been proved up till now.
In this talk, I will discuss recent results (obtained with Jeffrey
Galkowski) showing that the h-BEM does not suffer from the pollution effect
in certain common situations.
---------------------

Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
-------------- parte successiva --------------
Un allegato HTML è stato rimosso...
URL: http://ipv01.unipv.it/pipermail/dottorcomp/attachments/20220422/65051caf/attachment.htm