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.