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 fin...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.展开更多
基金supported by ANID-Chile through the projects Centro de Modelamiento Matematico(CMM),FB210005BASAL funds for centers of excellence+1 种基金Anillo of Computational Mathematics for Desalination Processes,ACT210087,FONDECYT project 1211030by DIUBB through projects 2020126 IF/R and 2120173 GI/C.
文摘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.
