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Penalized approximation of the vibration frequencies of a fluid in a cavity

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Computing and Visualization in Science

Abstract.

Here we point out some difficulties arising in the approximation of the vibration frequencies of a fluid in a cavity in the case of non convex polygonal domains. Since the eigensolutions must satisfy an irrotationality condition, a classical way to face the problem is to consider a penalized formulation. Unfortunately standard conforming finite elements fail to give good results. We intend to justify this failure and to suggest a finite element method based on a reduced integration strategy able to give reasonable results.

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Received: 29 April 1999 / Accepted: 29 September 1999

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Boffi, D., Chinosi, C. & Gastaldi, L. Penalized approximation of the vibration frequencies of a fluid in a cavity. Comput Visual Sci 3, 19–23 (2000). https://doi.org/10.1007/s007910050047

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  • DOI: https://doi.org/10.1007/s007910050047

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