PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Boffi D., Chinosi C., Gastaldi L. Penalized approximation of the vibration frequencies of a fluid in a cavity. Preprint ercim.cnr.ian//1999-1139, 1999.
 
 
Abstract
(English)
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.
Subject Fluid-structure interaction, eigenvalue problems, finite elements
65N30, 65N25


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