Year: 2016
Author: Feiteng Huang, Xiaoping Xie, Chensong Zhang
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 4 : pp. 339–364
Abstract
In this paper, we discuss an adaptive hybrid stress finite element method on quadrilateral meshes for linear elasticity problems. To deal with hanging nodes arising in the adaptive mesh refinement, we propose new transition types of hybrid stress quadrilateral elements with 5 to 7 nodes. In particular, we derive a priori error estimation for the 5-node transition hybrid stress element to show that it is free from Poisson-locking, in the sense that the error bound in the a priori estimate is independent of the Lamé constant λ. We introduce, for quadrilateral meshes, refinement/coarsening algorithms, which do not require storing the refinement tree explicitly, and give an adaptive algorithm. Finally, we provide some numerical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1511-m4496
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 4 : pp. 339–364
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Hybrid stress element Transition element Adaptive method Quadrilateral mesh Poisson-locking Plane elasticity.