Title:     Lower bounds for nonoverlapping domain decomposition
           preconditioners in two dimensions
                     
Authors:   Susanne C. Brenner and Li-yeng Sung

Published: Mathematics of Computation
           v. 69 (2000), 1319-1339 (MR# 2001a:65156)

Abstract:  Lower bounds for the condition numbers of the preconditioned
           systems are obtained for the Bramble-Pasciak-Schatz 
           substruturing preconditioner and the Neumann-Neumann 
           preconditioner in two dimensions. They show that the known 
           upper bounds are sharp.


 paper: Mathematics of Computation



Presented at

- Domain Decomposition and Multifield Theories, 
  Oberwolfach, Germany, April 27--May 1, 1998