Department of Mathematics, Texas A&M University, College Station TX 77843

Abstract

Recently a stable pair of finite element spaces for the
mixed formulation of the plane elasticity system has been
developed by Arnold and Winther.
Here we construct a two-level overlapping Schwarz preconditioner
for the resulting discrete system.
Essentially, this reduces to finding an efficient
preconditioner for the form
*( ^{ . },^{ . })+(div^{ . },div^{ . })*
in the symmetric tensor space