Locking-free nonconforming finite elements for three-dimensional elasticity problem

Two locking-free nonconforming finite elements are presented for three-dimensional elasticity problem with pure displacement boundary condition. Convergence rate of the elements are uniformly optimal with respect to λ. The energy norm and L2 norm errors are O(h2) and O(h3), respectively. Lastly, a n...

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Veröffentlicht in:	Applied mathematics and computation 2011-02, Vol.217 (12), p.5790-5797
Hauptverfasser:	Xiao, Liu-Chao, Yang, Yong-Qin, Chen, Shao-Chun
Format:	Artikel
Sprache:	eng
Schlagworte:	Acceleration of convergence Boundary conditions Convergence Displacement Elasticity Error estimate Exact sciences and technology Finite element method Locking-free Mathematical analysis Mathematics Nonconforming finite element Norms Numerical analysis Numerical analysis. Scientific computation Optimization Sciences and techniques of general use Three-dimensional elasticity Uniform convergence
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Zusammenfassung:	Two locking-free nonconforming finite elements are presented for three-dimensional elasticity problem with pure displacement boundary condition. Convergence rate of the elements are uniformly optimal with respect to λ. The energy norm and L2 norm errors are O(h2) and O(h3), respectively. Lastly, a numerical experiment is carried out, which coincides with the theoretical analysis.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2010.12.061