Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem  

作　　者：J.Querales P.Venegas 

机构地区：[1]GIMNAP,Departamento de Matematica,Universidad del Bio-Bio,Concepcion,Chile [2]Departamento de Ciencias Exactas,Facultad de Ingenieria,Arquitectura y Diseno,Universidad San Sebastian,Concepcion,Chile

出　　处：《Communications in Computational Physics》2023年第10期1420-1438,共19页计算物理通讯（英文）

基　　金：supported by ANID-Chile through the projects Centro de Modelamiento Matematico(CMM),FB210005;BASAL funds for centers of excellence;Anillo of Computational Mathematics for Desalination Processes,ACT210087,FONDECYT project 1211030;by DIUBB through projects 2020126 IF/R and 2120173 GI/C.

摘　　要：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.

关 键 词：Axisymmetric problem fluid-structure interaction spectral problem finite element method 

分 类 号：O17[理学—数学]