Simple nonconforming quadrilateral Stokes element. (English) Zbl 0742.76051

Rannacher, R.; Turek, S.

Numer. Methods Partial Differ. Equations 8, No. 2, 97-111 (1992).

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

Keywords:

linear Stokes problem; quadrilateral Stokes element; multilinear shape functions

References:

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