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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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
Author Details
-
Non-conforming and conforming five-node quadrilateral graded finite elements
Gautam, Asim | Kim, JeonghoMechanics of Advanced Materials and Structures, Vol. 31 (2024), Iss. 21 P.5173
https://doi.org/10.1080/15376494.2023.2212360 [Citations: 0] -
An efficient scheme for coupling dissimilar hexahedral meshes with the aid of variable-node transition elements
Sohn, Dongwoo | Lim, Jae Hyuk | Im, SeyoungAdvances in Engineering Software, Vol. 65 (2013), Iss. P.200
https://doi.org/10.1016/j.advengsoft.2013.06.017 [Citations: 21] -
Finite element mesh improvement using an a priori local p-refinement for stress analysis of underground excavations
Rosero, D. Garcia | Zsaki, A.M. | Villalobos, FelipeCogent Engineering, Vol. 7 (2020), Iss. 1
https://doi.org/10.1080/23311916.2020.1769287 [Citations: 0] -
Modeling and simulation of kinked cracks by virtual node XFEM
Kumar, Sachin | Singh, I.V. | Mishra, B.K. | Rabczuk, TimonComputer Methods in Applied Mechanics and Engineering, Vol. 283 (2015), Iss. P.1425
https://doi.org/10.1016/j.cma.2014.10.019 [Citations: 74] -
Application of Transition Finite Elements in hpq-Adaptive Modeling and Analysis of Machine Elements
Zielińska, Magdalena | Zboiński, GrzegorzTechnical Sciences, Vol. (2024), Iss.
https://doi.org/10.31648/ts.9545 [Citations: 0] -
Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces
Sohn, Dongwoo | Jin, SeungminComputer Methods in Applied Mechanics and Engineering, Vol. 293 (2015), Iss. P.92
https://doi.org/10.1016/j.cma.2015.04.007 [Citations: 15] -
Proceedings of the 20th International Meshing Roundtable
Dendritic Meshing: LA-UR 11-04075
Jean, Brian A. | Douglass, Rodney W. | McNamara, Guy R. | Ortega, Frank A.2011
https://doi.org/10.1007/978-3-642-24734-7_34 [Citations: 1] -
High order transition elements: The xy-element concept—Part I: Statics
Duczek, S. | Saputra, A.A. | Gravenkamp, H.Computer Methods in Applied Mechanics and Engineering, Vol. 362 (2020), Iss. P.112833
https://doi.org/10.1016/j.cma.2020.112833 [Citations: 22] -
Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes
Zhao, Xuying | Shi, Zhong-Ci | Du, QiangJournal of Scientific Computing, Vol. 59 (2014), Iss. 1 P.53
https://doi.org/10.1007/s10915-013-9753-5 [Citations: 2] -
Laplace–Beltrami enhancement for unstructured two-dimensional meshes having dendritic elements and boundary node movement
Douglass, Rod W.
Journal of Computational and Applied Mathematics, Vol. 236 (2012), Iss. 18 P.4952
https://doi.org/10.1016/j.cam.2011.09.023 [Citations: 3]