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A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

Year:    2010

Author:    Feiteng Huang, Xiaoping Xie

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 6 : pp. 784–797

Abstract

This paper analyzes a nonconforming 5-node quadrilateral transition finite element for Poisson equation. This element was originally proposed by Choi and Park [Computers and Structures, 32 (1989), pp. 295–304 and Thin-Walled Structures, 28 (1997), pp. 1–20] for the analysis of Mindlin plates. We show the consistency error of this element is only O(h1/2) over the transition edges of the quadrilateral subdivision. By modifying the shape functions with respect to mid-nodes, we get an improved version of the element for which the consistency error is O(h). Numerical examples are provided to verify the theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.09-m09110

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 6 : pp. 784–797

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

Author Details

Feiteng Huang Email

Xiaoping Xie Email

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