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A mixed nonconforming finite element for linear elasticity
Authors:Zhiqiang Cai  Xiu Ye
Abstract:This article considers a mixed finite element method for linear elasticity. It is based on a modified mixed formulation that enforces the continuity of the stress weakly by adding a jump term of the approximated stress on interior edges. The symmetric stress are approximated by nonconforming linear elements and the displacement by piecewise constants. We establish ??(h) error bound in the (broken) L2 norm for the divergence of the stress and ??(h) error bound in the L2 norm for both the displacement and the stress tensor. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005.
Keywords:elasticity  mixed method  finite element
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