Abstract
The patch test is interpreted from a variational point of view. This leads to conclude that non conforming (or non stress diffusive) displacement (stress) models can be considered as special hybrid models. A simple choice of mixed connectors is proposed that satisfy a priori the patch test for any assumed displacement or stress field. Finally some numerical examples are given of finite elements that do not pass the patch test but still converge.
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References
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Sander, G., Beckers, P. (1977). The influence of the choice of connectors in the finite element method. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064471
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DOI: https://doi.org/10.1007/BFb0064471
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