TY - JOUR
T1 - Analysis of a coupled BEM/FEM eigensolver for the hydroelastic vibrations problem
AU - Barrientos, Mauricio A.
AU - Gatica, Gabriel N.
AU - Rodríguez, Rodolfo
AU - Torrejón, Marcela E.
PY - 2004/7
Y1 - 2004/7
N2 - 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.
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.
KW - Added mass
KW - BEM/FEM
KW - Fluid-structure interaction
KW - Hydroelasticity
UR - http://www.scopus.com/inward/record.url?scp=4444290342&partnerID=8YFLogxK
U2 - 10.1051/m2an:2004028
DO - 10.1051/m2an:2004028
M3 - Article
AN - SCOPUS:4444290342
VL - 38
SP - 653
EP - 672
JO - ESAIM: Mathematical Modelling and Numerical Analysis
JF - ESAIM: Mathematical Modelling and Numerical Analysis
SN - 0764-583X
IS - 4
ER -