Title: A two-level additive Schwarz preconditioner
for the stationary Stokes equations
Author: Susanne C. Brenner
Published: Advances in Computational Mathematics
v. 4 (1995), 111-126 (MR# 96d:76056)
Abstract: We consider the stationary Stokes equations on a polygonal
domain whose boundary has more than one component, i.e.,
flow with obstacles. A two-level additive Schwarz
preconditioner is developed for the divergence-free nonconforming
P1 finite element. The condition number of the preconditioned
system is shown to be bounded independent of mesh sizes and the
number of subdomains in the case of generous overlap.