Multigrid Methods for the Pure Traction Problem of Linear
                        Elasticity:  Mixed Formulation

                                Chang-Ock Lee

                          Department of Mathematics
                       University of Wisconsin-Madison
                                Nov. 30, 1994

                                   Abstract

For the two-dimensional pure traction boundary value problem of linear
elasticity, a multigrid method using conforming P-1 finite element is
developed.  Moreover, it is used to solve the nonconforming discretization of
the pure traction problem as a coarser-grid correction in multigrid algorithm.
In both cases the convergence is uniform even as the material becomes nearly
incompressible.  A heuristic argument for acceleration of the multigrid method
is discussed and computational results are included.