The simplest conforming anisotropic rectangular and cubic mixed finite elements for elasticity

Shao-chun Chen, Yan-ping Sun and Ji-kun Zhao

Applied Mathematics and Computation, 2015, vol. 265, issue C, 292-303

Abstract: In this paper, we construct two simplest conforming rectangular elements for the linear elasticity problem under the Hellinger–Reissner variational principle. One is a rectangular element in 2D with only 8 degrees of freedom for the stress and 2 degrees of freedom for the displacement. Another one is a cubic element in 3D with only 18 + 3 degrees of freedom. We prove that the two elements are stable and anisotropic convergent. Numerical test is presented to illustrate the element is stable and effective.

Keywords: Elasticity; Mixed method; Conforming finite element; Rectangular; Cubic; Anisotropic (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:292-303

DOI: 10.1016/j.amc.2015.04.117

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