Finite Element Approximation of Eigenvalue Problem for a Coupled Vibration Between Acoustic Field and Plate
Year: 1997
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 265–278
Abstract
We formulate a coupled vibration between plate and acoustic field in mathematically rigorous fashion. It leads to a non-standard eigenvalue problem. A finite element approximation is considered in an abstract way, and the approximate eigenvalue problem is written in an operator form by means of some Ritz projections. The order of convergence is proved based on the result of Babuška and Osborn. Some numerical examples are shown for the problem for which the exact analytical solutions are calculated. The results show that the convergence order is consistent with the one by the numerical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JCM-9204
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 265–278
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14