A simple nonconforming quadrilateral Stokes element based on “rotated” multi‐linear shape functions is analyzed. On strongly nonuniform meshes the usual parametric version of this element suffers from a lack of consistency, while its nonparametric counterpart turns out to be convergent with optimal orders. This theoretical result is confirmed by numerical tests.
No takes yet. Share an insight, caveat, or question.
Rannacher et al. (1992) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: