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 publicationJournal articleAcademic researchpeer-review

5 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 languageEnglish
JournalComputational Methods in Applied Mathematics
DOIs
Publication statusAccepted/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

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