# 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

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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 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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