@Article{AAMM-2-6,
author = {Huang, Feiteng and Xie, Xiaoping},
title = {A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {6},
pages = {784--797},
abstract = {<p style="text-align: justify;">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&nbsp;$\mathcal{O}(h^{1/2})$ 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&nbsp;$\mathcal{O}(h)$.
Numerical examples are provided to verify the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m09110},
url = {https://global-sci.com/article/73668/a-modified-nonconforming-5-node-quadrilateral-transition-finite-element}
}