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bem/fem.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
Mauricio A. Barrientos, Gabriel N. Gatica, Rodolfo Rodríguez, Marcela E. Torrejón
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 38 / Issue 4 / July 2004

Published online by Cambridge University Press:

15 August 2004, pp. 653-672

Print publication:

July 2004
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A coupled finite/boundary element method to approximate the free vibration modes of an elastic structure containing an incompressible fluid is analyzed in this paper. The effect of the fluid is taken into account by means of one of the most usual procedures in engineering practice: an added mass formulation, which is posed in terms of boundary integral equations. Piecewise linear continuous elements are used to discretize the solid displacements and the fluid-solid interface variables. Spectral convergence is proved and error estimates are settled for the approximate eigenfunctions and their corresponding vibration frequencies. Implementation issues are also discussed and numerical experiments are reported.