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.