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

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

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.

Keywords

Raviart–Thomas elements
Source problem
Spectral problem

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.

Editor version

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

Rights

Atribución-NoComercial-SinDerivadas 4.0 Internacional

ISSN

0045-7949
1879-2243