[Dottorcomp] Seminari di Matematica Applicata. Martedì 29 Marzo. Euan Spence.

[Stefano Lisini]

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

Martedì 29 marzo 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/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

ID riunione: 875 1813 7128
Passcode: 880047

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.
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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
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