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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.

MSC:

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

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