Title:     Linear finite elements for planar linear elasticity

Authors:   Susanne C. Brenner and Li-yeng Sung

Published: Mathematics of Computation
           v. 59 (1992), 321-338 (MR# 93a:73078)

Abstract:  A linear nonconforming (conforming) displacement
           finite element method for the pure displacement (pure traction)
           problem in two-dimensional linear elasticity for a homogeneous 
           isotropic elastic material is considered.  In the case of a convex 
           polygonal configuration domain, ${\cal{O}}(h)$ (${\cal{O}}(h^2)$) 
           error estimates in the energy ($L^2$) norm are obtained.  The 
           convergence rate does not deteriorate for nearly incompressible 
           material.  Furthermore, the convergence analysis does not rely 
           on the theory of saddle-point problems.


Presented at

-Workshop on Mathematics of Computation in Partial 
 Differential Equations,
 Cornell University, January 25-27, 1991