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http://dx.doi.org/10.4134/JKMS.2002.39.3.363

STABLE LOW ORDER NONCONFORMING QUADRILATERAL FINITE ELEMENTS FOR THE STOKES PROBLEM  

Kim, Young-Deok (Department of Mathematics KAIST)
Kim, Se-Ki (Department of Mathematics SungKyunKwan University)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 363-376 More about this Journal
Abstract
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 qudrilateral elements. Optimal order $H^1$and $L^2$error estimates are derived.
Keywords
stability; quadrilateral element; Stokes problem;
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