Nonconforming finite elements for the equation of planar elasticity

Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to A. The energy norm and L2 norm errors are proved to be O（h2） and O（h3）, respectively. Numerical tests confirm...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics and mechanics 2010-12, Vol.31 (12), p.1537-1548
1. Verfasser:	杨永琴肖留超陈绍春
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Classical Mechanics Convergence Direct power generation Displacement Elasticity Finite element method Fluid- and Aerodynamics Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Norms Optimization Partial Differential Equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to A. The energy norm and L2 norm errors are proved to be O（h2） and O（h3）, respectively. Numerical tests confirm the theoretical analysis.
ISSN:	0253-4827 1573-2754
DOI:	10.1007/s10483-010-1382-7