Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A posteriori error estimates for an eigenvalue problem arising from fluid–structure interaction

Francesca Gardini*
Dipartimento di Matematica 'F. Casorati', Università di Pavia, 27100 Pavia, Italy

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In this paper, we introduce a reliable and efficient a posteriori error estimator for the approximation of an eigenvalue problem using Brezzi-Douglas-Marini finite element spaces of any order. According to the author's knowledge, it is the first time that an a posteriori error analysis for mixed approximation of an eigenvalue problem is developed. Indeed, other authors see Duran et al. in [1] used the equivalence between the mixed finite element method of Raviart-Thomas of the lowest order and the non-conforming piece-wise linear approximation of Crouzeix and Raviart.

Keywords:  A posteriori error estimator; Eigenvalue problem; Fluid-structure interaction; Mixed finite element

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