Use this link to cite:

http://hdl.handle.net/2183/40586

Comparison of pressure and displacement formulations for finite elements in linear time-harmonic acoustics

Thumbnail Image

Files

Hervella_Nieto_Luis_2015_Comparison_of_pressure_and_displacement_formulations.pdf (902.9 KB)

Identifiers

URI: http://hdl.handle.net/2183/40586
DOI: 10.1016/j.compstruc.2015.01.009

Publication date

2015-04-15

Authors

Retka, Stefanie
Marburg, Steffen

Advisors

Other responsabilities

Journal Title

Bibliographic citation

Retka, S., Hervella-Nieto, L., & Marburg, S. (2015). Comparison of pressure and displacement formulations for finite elements in linear time-harmonic acoustics. Computers & Structures, 151, 49-57. https://doi.org/10.1016/j.compstruc.2015.01.009

Type of academic work

Academic degree

Abstract

[Abstract]: In this article, we compare the finite element solution of the pressure and the displacement formulations for the acoustic problem in the frequency domain. The Helmholtz differential equation is solved for both, the spectral and the source problems, and each of these is formulated in terms of pressure and displacement. The pressure formulation allows to use standard Lagrangian elements whereas Raviart–Thomas elements are applied for the displacement formulation. Both formulations are tested in several examples. It is shown that Raviart–Thomas elements account for a reasonable alternative to Lagrangian elements in some cases.

Description

This version of the article: Retka, S., Hervella-Nieto, L., & Marburg, S. (2015). ‘Comparison of pressure and displacement formulations for finite elements in linear time-harmonic acoustics’ has been accepted for publication in: Computers & Structures, 151, 49-57. The Version of Record is available online at https://doi.org/10.1016/j.compstruc.2015.01.009.

Keywords

Raviart–Thomas elements Source problem Spectral problem

Editor version

https://doi.org/10.1016/j.compstruc.2015.01.009

Rights

Atribución-NoComercial-SinDerivadas 4.0 Internacional
© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/.

Collections

Investigación (FIC)
Atribución-NoComercial-SinDerivadas 4.0 Internacional

Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 4.0 Internacional