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Nonconforming quadrilateral finite elements: a correction. (English) Zbl 1012.65124
The authors correct an error contained in two recent papers of Z. Cai, J. Douglas jun., and X. Ye [Calcolo 36, No. 4, 215-232 (1999; Zbl 0947.76047)] and J. Douglas jun., J. E. Santos, D. Sheen and X. Ye [M2AN Math. Model. Numer. Anal. 33, No. 4, 747-770 (1999; Zbl 0941.65115)] in defining the basis for some nonconforming finite element methods when quadrilaterals occur in the partition of a two-dimensional domain.
Reviewer: G.Schmidt (Berlin)

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
76M10 Finite element methods applied to problems in fluid mechanics
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