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

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

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

Abstract

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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.

How to cite

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Barrientos, Mauricio A., et al. "Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem." ESAIM: Mathematical Modelling and Numerical Analysis 38.4 (2010): 653-672. <http://eudml.org/doc/194232>.

@article{Barrientos2010,
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},
keywords = {Fluid-structure interaction; hydroelasticity; added mass; BEM/FEM.; added mass formulation; convergence; error estimates},
language = {eng},
month = {3},
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/194232},
volume = {38},
year = {2010},
}

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
DA - 2010/3//
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/194232
ER -

References

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