The Generalized Patch Test for Zienkiewicz's Triangles

The Generalized Patch Test for Zienkiewicz's Triangles

Year:    1984

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 279–286

Abstract

It is proved that Zienkiewicz's triangles for plate bending problems pass Stummel's generalized patch test — a necessary and sufficient condition for convergence of nonconforming finite elements — for mesh (a) generated by three sets of parallel lines, but do not pass it when "union jack" mesh (b) or when another mesh (c) is used. In the latter two cases the approximations are divergent.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1984-JCM-9663

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 3 : pp. 279–286

Published online:    1984-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: