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Finite element computation of the vibration modes of a fluid-solid system. (English) Zbl 0851.73053
Summary: We solve the interior elastoacoustic problem by a finite element method which does not present spurious or circulation modes for nonzero frequencies. It consists of classical triangular Lagrangian elements for the solid and lowest order triangular Raviart-Thomas elements for the fluid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense. Numerical results for some test examples show the good performance of the proposed methodology.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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[11] also to appear in SIAM J. Numer. Anal.
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