The University of Southampton
University of Southampton Institutional Repository

A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems

A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems
A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems
In this paper, we compare the performance of the wave-based discontinuous Galerkin method against the polynomial high-order finite element method (FEM) for Helmholtz problems. Previous studies demonstrate that both methods lead to a control of the dispersion error associated with low-order FEM at high frequency. Common belief is that compared to polynomial methods, physics-based methods can provide a signifcant improvement in performance, at the expense of a deterioration of the conditioning. However, the results presented in this paper indicate that the diferences in accuracy, effciency and conditioning between the two approaches are more nuanced than generally assumed.
Lieu, A.L.
172d7ad2-fd24-44dd-b8ab-218fb54e0df9
Gabard, G.G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Beriot, H.B.
9b199fd2-994c-478a-a5e2-cd4308148dfd
Lieu, A.L.
172d7ad2-fd24-44dd-b8ab-218fb54e0df9
Gabard, G.G.
bfd82aee-20f2-4e2c-ad92-087dc8ff6ce7
Beriot, H.B.
9b199fd2-994c-478a-a5e2-cd4308148dfd

Lieu, A.L., Gabard, G.G. and Beriot, H.B. (2015) A comparison of high-order finite elements method and wave-based discontinuous Galerkin method for Helmholtz problems. The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Germany. 20 - 24 Jul 2015. 2 pp .

Record type: Conference or Workshop Item (Other)

Abstract

In this paper, we compare the performance of the wave-based discontinuous Galerkin method against the polynomial high-order finite element method (FEM) for Helmholtz problems. Previous studies demonstrate that both methods lead to a control of the dispersion error associated with low-order FEM at high frequency. Common belief is that compared to polynomial methods, physics-based methods can provide a signifcant improvement in performance, at the expense of a deterioration of the conditioning. However, the results presented in this paper indicate that the diferences in accuracy, effciency and conditioning between the two approaches are more nuanced than generally assumed.

Text
WAVES_ALIEU.pdf - Version of Record
Download (1MB)

More information

Accepted/In Press date: 4 April 2015
Published date: 2015
Venue - Dates: The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Germany, 2015-07-20 - 2015-07-24
Organisations: Acoustics Group

Identifiers

Local EPrints ID: 380992
URI: https://eprints.soton.ac.uk/id/eprint/380992
PURE UUID: 6ff24cdf-01a7-4b1d-845c-40a2bffcca9e

Catalogue record

Date deposited: 02 Oct 2015 08:08
Last modified: 16 Nov 2018 17:31

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×