TY - JOUR
T1 - The Generalized Patch Test for Zienkiewicz's Triangles
AU - Zhong-Ci Shi
JO - Journal of Computational Mathematics
VL - 3
SP - 279
EP - 286
PY - 1984
DA - 1984/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9663.html
KW - 
AB - <p style="text-align: justify;">It is proved that Zienkiewicz&#39;s triangles for plate bending problems pass Stummel&#39;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 &quot;union jack&quot; mesh (b) or when another mesh (c) is used. In the latter two cases the approximations are divergent.</p>