Simple nonconforming quadrilateral Stokes element. (English) Zbl 0742.76051

Summary: A simple nonconforming quadrilateral Stokes element based on “rotated” multilinear 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.


76M10 Finite element methods applied to problems in fluid mechanics
76D07 Stokes and related (Oseen, etc.) flows
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