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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2002; 39(3): 363-376

Printed May 1, 2002

Copyright © The Korean Mathematical Society.

Stable low order nonconforming quadrilateral finite elements for the Stokes problem

Yongdeok Kim and Seki Kim

KAIST and SungKyunKwan University

Abstract

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Stability result is obtained for the approximation of the stationary Stokes problem with nonconforming elements proposed by Douglas et al. [1] for the velocity and discontinuous piecewise constants for the pressure on quadrilateral elements. Optimal order $H^1$ and $L^2$ error estimates are derived.

Keywords: stability, quadrilateral element, Stokes problem

MSC numbers: 65N15, 65N30

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