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Superconvergent patch recovery technique for the finite element method in acoustics

✍ Scribed by Bouillard, Ph. ;Allard, J.-F. ;Warzée, G.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
824 KB
Volume
12
Category
Article
ISSN
1069-8299

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✦ Synopsis

A posteriori error estimation has become very popular, mainly in linear elasticity. A robust implementation of the superconvergent patch recovery technique of 0. C. Zienkiewicz and J. Z. Zhu is presented for acoustic finite element analyses: the original concepts are extended to complex variables, and both local and global behaviours of the recovery procedure and the error estimation are studied. The numerical tests confirm the improvement of the rates of convergence for the recovered solution and also show the reliability of the error estimator except at frequencies corresponding either to the analytical or to the finite element eigenfrequencies.

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