# Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem

Mauricio A. Barrientos; Gabriel N. Gatica; Rodolfo Rodríguez; Marcela E. Torrejón

- Volume: 38, Issue: 4, page 653-672
- ISSN: 0764-583X

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topBarrientos, Mauricio A., et al. "Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 38.4 (2004): 653-672. <http://eudml.org/doc/245534>.

@article{Barrientos2004,

abstract = {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.},

author = {Barrientos, Mauricio A., Gatica, Gabriel N., Rodríguez, Rodolfo, Torrejón, Marcela E.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {fluid-structure interaction; hydroelasticity; added mass; BEM/FEM; added mass formulation; convergence; error estimates},

language = {eng},

number = {4},

pages = {653-672},

publisher = {EDP-Sciences},

title = {Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem},

url = {http://eudml.org/doc/245534},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Barrientos, Mauricio A.

AU - Gatica, Gabriel N.

AU - Rodríguez, Rodolfo

AU - Torrejón, Marcela E.

TI - Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 4

SP - 653

EP - 672

AB - 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.

LA - eng

KW - fluid-structure interaction; hydroelasticity; added mass; BEM/FEM; added mass formulation; convergence; error estimates

UR - http://eudml.org/doc/245534

ER -

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