A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

作者：Huang Feiteng; Xie Xiaoping

来源：Advances in Applied Mathematics and Mechanics, 2010, 2(6): 784-797.

DOI：10.4208/aamm.09-m09110

• Nonconforming finite element
• transition element
• consistency error

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(h(1/2)) 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.

• 出版日期2010-12
• 单位四川大学