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

Susanne C. Brenner; Ayçll Çeşmelioǧlu; Jintao Cui; Li Yeng Sung

doi:10.1515/cmam-2017-0050

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

Susanne C. Brenner, Ayçll Çeşmelioǧlu, Jintao Cui, Li Yeng Sung

Research output: Journal article publication › Journal article › Academic research › peer-review

4 Citations (Scopus)

Abstract

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 eigenmodes. The method uses weakly continuous P1vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h2) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

Original language	English
Journal	Computational Methods in Applied Mathematics
DOIs	https://doi.org/10.1515/cmam-2017-0050
Publication status	Accepted/In press - 8 Dec 2017

Keywords

Acoustic Fluid
Fluid-Structure Interaction
Nonconforming Finite Element Method

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

More information

10.1515/cmam-2017-0050

Cite this

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abstract = "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 eigenmodes. The method uses weakly continuous P1vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h2) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.",

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AU - Brenner, Susanne C.

AU - Çeşmelioǧlu, Ayçll

AU - Cui, Jintao

AU - Sung, Li Yeng

PY - 2017/12/8

Y1 - 2017/12/8

N2 - 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 eigenmodes. The method uses weakly continuous P1vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h2) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

AB - 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 eigenmodes. The method uses weakly continuous P1vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h2) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

KW - Acoustic Fluid

KW - Fluid-Structure Interaction

KW - Nonconforming Finite Element Method

UR - http://www.scopus.com/inward/record.url?scp=85037850374&partnerID=8YFLogxK

U2 - 10.1515/cmam-2017-0050

DO - 10.1515/cmam-2017-0050

M3 - Journal article

JO - Computational Methods in Applied Mathematics

JF - Computational Methods in Applied Mathematics

SN - 1609-4840

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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