An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids |
| |
Authors: | Ana Alonso Anahí Dello Russo César Otero-Souto Claudio Padra Rodolfo Rodríguez |
| |
Affiliation: | (1) Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 172, 1900 La Plata, Argentina, AR;(2) Centro Atómico Bariloche, 8400 Bariloche, Río Negro, Argentina, AR;(3) Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile, CL |
| |
Abstract: | This paper deals with the computation of the vibration modes of a system consisting of a linear elastic solid interacting
with an acoustic fluid. A finite element method based on meshes for each medium not matching on the fluid-solid interface
is analyzed. Optimal order of convergence is proved for the approximation of the eigenfunctions, as well as a double order
for the eigenvalues. Numerical tests confirming the theoretical results and showing the advantage of using non-matching grids
are reported. Finally, an a posteriori error estimator for this method is introduced and combined with a mesh refinement strategy.
The efficiency of this adaptive technique is tested with further numerical experiments.
Received: 30 January 2001 / Accepted: 30 May 2001 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|