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Zbl 0742.76051
Rannacher, R.; Turek, S.
Simple nonconforming quadrilateral Stokes element. (English)
[J] Numer. Methods Partial Differ. Equations 8, No.2, 97-111 (1992). ISSN 0749-159X; ISSN 1098-2426/e

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 2000:
*76M10 Finite element methods
76D07 Stokes flows

Keywords: linear Stokes problem; quadrilateral Stokes element; multilinear shape functions

Cited in: Zbl 1225.74089 Zbl 1167.65453 Zbl 1185.65207 Zbl 1112.65121 Zbl 0979.65112

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