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Stable low order nonconforming quadrilateral finite elements for the Stokes problem

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Abstract

Stability result is obtained for the approximation of the stationary Stokesproblem with nonconforming elements proposed by Douglas et al [ref{Do}]for the velocity and discontinuous piecewise constants for the pressure onquadrilateral elements. Optimal order H^1 and L^2 error estimates are derived.

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