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Volume 34, Issue 5
Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem

J. Querales & P. Venegas

DOI: 10.4208/cicp.OA-2023-0179

Commun. Comput. Phys., 34 (2023), pp. 1420-1438.

Published online: 2023-12

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  • Abstract

This paper deals with the numerical approximation of a pressure/displacement formulation of the elastoacoustic vibration problem in the axisymmetric case. We propose and analyze a discretization based on Lagrangian finite elements in the fluid and solid domains. We show that the scheme provides a correct approximation of the spectrum and prove quasi-optimal error estimates. We report numerical results to validate the proposed methodology for elastoacoustic vibrations.

  • Keywords

Axisymmetric problem, fluid-structure interaction, spectral problem, finite element method.

  • AMS Subject Headings

65N25, 65N15, 74F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-34-1420, author = {Querales , J. and Venegas , P.}, title = {Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem}, journal = {Communications in Computational Physics}, year = {2023}, volume = {34}, number = {5}, pages = {1420--1438}, abstract = {

This paper deals with the numerical approximation of a pressure/displacement formulation of the elastoacoustic vibration problem in the axisymmetric case. We propose and analyze a discretization based on Lagrangian finite elements in the fluid and solid domains. We show that the scheme provides a correct approximation of the spectrum and prove quasi-optimal error estimates. We report numerical results to validate the proposed methodology for elastoacoustic vibrations.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2023-0179}, url = {http://global-sci.org/intro/article_detail/cicp/22258.html} }
TY - JOUR T1 - Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem AU - Querales , J. AU - Venegas , P. JO - Communications in Computational Physics VL - 5 SP - 1420 EP - 1438 PY - 2023 DA - 2023/12 SN - 34 DO - http://doi.org/10.4208/cicp.OA-2023-0179 UR - https://global-sci.org/intro/article_detail/cicp/22258.html KW - Axisymmetric problem, fluid-structure interaction, spectral problem, finite element method. AB -

This paper deals with the numerical approximation of a pressure/displacement formulation of the elastoacoustic vibration problem in the axisymmetric case. We propose and analyze a discretization based on Lagrangian finite elements in the fluid and solid domains. We show that the scheme provides a correct approximation of the spectrum and prove quasi-optimal error estimates. We report numerical results to validate the proposed methodology for elastoacoustic vibrations.

J. Querales & P. Venegas. (2023). Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem. Communications in Computational Physics. 34 (5). 1420-1438. doi:10.4208/cicp.OA-2023-0179
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