| Issue |
ESAIM: M2AN
Volume 36, Number 1, January/February 2002
|
|
|---|---|---|
| Page(s) | 121 - 142 | |
| DOI | https://doi.org/10.1051/m2an:2002005 | |
| Published online | 15 April 2002 | |
A modal synthesis method for the elastoacoustic vibration problem
1
Departamento de Matemática
Aplicada, Universidade de Santiago de Compostela, 15706 Santiago de
Compostela, Spain. mabermud@usc.es.. Partially supported by research project PGIDT00PXI20701PR. Xunta de Galicia (Spain).
2
Departamento de Matemáticas,
Universidade da Coruña, 15071 A Coruña, Spain. Partially supported
by FONDAP in Applied Mathematics, Chile.
3
Departamento de Ingeniería
Matemática, Universidad de Concepción, Casilla 160–C, Concepción,
Chile. Partially supported by FONDECYT Grant 1.990.346 and FONDAP in
Applied Mathematics, Chile.
Received:
23
November
2001
A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with Lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error estimates are given, and numerical experiments exhibiting the good performance of the method are reported.
Mathematics Subject Classification: 65N15 / 65N25 / 74F10
Key words: Fluid-structure interaction / elastoacoustic / modal synthesis.
© EDP Sciences, SMAI, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.