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

Daniele Boffi, Claudia Chinosi, Lucia Gastaldi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationComputing and Visualization in Science
PublisherSpringer Verlagservice@springer.de
Pages19-23
Number of pages5
DOIs
StatePublished - Jan 1 2000
Externally publishedYes

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