Title

A nonconforming finite element method for an acoustic fluid-structure interaction problem

Document Type

Article

Publication Date

7-1-2018

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 P vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h ) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments. 1 2

Publication Source (Journal or Book title)

Computational Methods in Applied Mathematics

First Page

383

Last Page

406

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