Title:     A nonconforming multigrid method for the pure 
           displacment problem in planar linear elasticity

Author:    Susanne C. Brenner

Published: SIAM Journal on Numerical Analysis
           v. 30 (1993), 116-135 (MR# 93m:65166)

Abstract:  An optimal order multigrid method is developed for
the pure displacement problem in two-dimensional linear elasticity.
It is based on a nonconforming mixed formulation, where the 
displacement is approximated by weakly continuous piecewise 
linear vector functions, and the pressure is approximated by 
piecewise constants.  The full multigrid convergence is proved. 
The performance of the multigrid method does not deteriorate as 
the material becomes nearly incompressible.


Presented at

- Fifth Copper Mountain Conference on Multigrid Methods,
  Copper Mountain, Colorado, March 31-April 5, 1991