Title:         Nonconforming mixed elements for elasticity

Authors:       Douglas N. Arnold and Ragnar Winther

Source:        Mathematical Models and Methods in Applied Sciences (M3AS) 13 (2003), pp. 295-307

Status:        Published

Abstract:      We construct first order, stable, nonconforming mixed
finite elements for plane elasticity and analyze their convergence. 
The mixed method is based on the Hellinger-Reissner variational
formulation in which the stress and displacement fields are the primary
unknowns.  The stress elements use polynomial shape functions but do
not involve vertex degrees of freedom.

Keywords:      mixed method, finite element, nonconforming, elasticity

Subj. class.:  65N30, 74S05

URL:           http://ima.umn.edu/~arnold/papers/ncelas.pdf