A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem

被引：6

作者：

Brenner, Susanne C. ^{[1
,2
]}

Cesmelioglu, Aycil ^{[3
]}

Cui, Jintao ^{[4
]}

Sung, Li-Yeng ^{[1
,2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[3] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA

[4] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2018年 / 18卷 / 03期

基金：

美国国家科学基金会;

关键词：

Nonconforming Finite Element Method; Fluid-Structure Interaction; Acoustic Fluid; VIBRATION PROBLEM; PENALTY METHOD; SOLID SYSTEMS; APPROXIMATION; COMPUTATION; FORMULATION; EQUATIONS; MODES;

D O I：

10.1515/cmam-2017-0050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonconforming finite element approximation of the vibration modes of an acoustic fluid-structure interaction. Displacement variables are used for both the fluid and the solid. The numerical scheme is based on an irrotational fluid displacement formulation and hence it is free of spurious eigen-modes. The method uses weakly continuous P-1 vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h(2)) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

引用

页码：383 / 406

页数：24

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