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.
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Received: 30 January 2001 / Accepted: 30 May 2001
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Alonso, A., Dello Russo, A., Otero-Souto, C. et al. An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids. Comput Visual Sci 4, 67–78 (2001). https://doi.org/10.1007/s007910100057
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DOI: https://doi.org/10.1007/s007910100057