Summary.
The eigenvalue problem describing the frequencies of a fluid vibrating in a rigid cavity or within moving boundaries is considered. Based on the method of Lagrange multipliers, a three field mixed formulation is introduced in order to avoid the spurious circulating modes. Stability and optimal error bounds are proved for two choices of finite element spaces.
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Received October 20, 1992 / Revised version received May 23, 1995
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Gastaldi, L. Mixed finite element methods in fluid structure systems . Numer. Math. 74, 153–176 (1996). https://doi.org/10.1007/s002110050212
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DOI: https://doi.org/10.1007/s002110050212