The University of Southampton
University of Southampton Institutional Repository

Finite element analysis of pressure formulation of the elastoacoustic problem

Finite element analysis of pressure formulation of the elastoacoustic problem
Finite element analysis of pressure formulation of the elastoacoustic problem
In this paper we analyze the non symmetric pressure/displacement formulation of the elastoacoustic vibration problem and show its equivalence with the (symmetric) stiffness coupling formulation. We introduce discretizations for these problems based on Lagrangian finite elements. We show that both formulations are also equivalent at discrete level and prove optimal error estimates for eigenfunctions and eigenvalues. Both formulations are rewritten such as to be solved with a standard Matlab eigensolver. We report numerical results comparing the efficiency of the methods over some test examples.
29-51
Bermudez, A.
27183172-1114-46d3-bbd9-141879027362
Gamallo Ponte, P.
363415df-73f7-43d1-9c0c-345261281ef2
Hervella-Nieto, E.
94020d80-6b7c-4aad-98d9-3171f9f0787d
Rodriguez, E.
647a092d-014a-4b88-8d89-b050e18f5417
Bermudez, A.
27183172-1114-46d3-bbd9-141879027362
Gamallo Ponte, P.
363415df-73f7-43d1-9c0c-345261281ef2
Hervella-Nieto, E.
94020d80-6b7c-4aad-98d9-3171f9f0787d
Rodriguez, E.
647a092d-014a-4b88-8d89-b050e18f5417

Bermudez, A., Gamallo Ponte, P., Hervella-Nieto, E. and Rodriguez, E. (2003) Finite element analysis of pressure formulation of the elastoacoustic problem. Numerische Mathematik, 95 (1), 29-51. (doi:10.1007/s00211-002-0414-0).

Record type: Article

Abstract

In this paper we analyze the non symmetric pressure/displacement formulation of the elastoacoustic vibration problem and show its equivalence with the (symmetric) stiffness coupling formulation. We introduce discretizations for these problems based on Lagrangian finite elements. We show that both formulations are also equivalent at discrete level and prove optimal error estimates for eigenfunctions and eigenvalues. Both formulations are rewritten such as to be solved with a standard Matlab eigensolver. We report numerical results comparing the efficiency of the methods over some test examples.

Full text not available from this repository.

More information

Published date: 2003

Identifiers

Local EPrints ID: 10326
URI: https://eprints.soton.ac.uk/id/eprint/10326
PURE UUID: c9c0291b-fc29-4707-96d6-8a1bb28bff92

Catalogue record

Date deposited: 01 Jun 2005
Last modified: 15 Jul 2019 19:36

Export record

Altmetrics

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.

×