Articulo
An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids
Registro en:
issn:1432-9360
issn:1433-0369
Autor
Alonso, Ana Esther
Dello Russo, Anahí
Otero Souto, César
Padra, Claudio
Rodríguez, Rodolfo
Institución
Resumen
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. Facultad de Ciencias Exactas