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Stability analysis of mixed finite element formulations with special mention of equal‐order interpolations
Author(s) -
Idelsohn S.,
Storti M.,
Nigro N.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200819
Subject(s) - interpolation (computer graphics) , mathematics , stability (learning theory) , eigenvalues and eigenvectors , computation , finite element method , mathematical analysis , decomposition , plane (geometry) , geometry , algorithm , computer science , physics , classical mechanics , structural engineering , engineering , motion (physics) , machine learning , quantum mechanics , ecology , biology
We present a method to assess the stability of pairs of interpolation spaces for mixed formulations. The method is based on a straightforward calculation of the eigenvalues of the discrete matrices through Fourier decomposition in plane waves and is intended to give, via straightforward numerical computations, a sharper determination of stability than the well‐known ‘patch test’ of Zienkiewicz et al. Special attention is devoted to the study of stability and accuracy of equal‐order interpolations.