Title:     Lower bounds for two-level additive Schwarz preconditioners
           with small overlap
          
Author:    Susanne C. Brenner

Published: SIAM Journal of Scientific Computation
           v. 21 (2000), 1657-1669 (MR# 2001j:65181)

Abstract:  Lower bounds for the condition numbers of the preconditioned
           systems are obtained for two-level additive Schwarz 
           preconditioners for both second order and fourth order problems.  
           They show that the known upper bounds are sharp in the case of a 
           small overlap.


 paper: SIAM Journal on Scientific Computing



Presented at:

- Finite Element Circus, 
  University of Colorado at Denver, March 27-28, 1998

- Fifth Copper Mountain Conference on Iterative Methods, 
  Copper Mountain, CO, March 30-April 3, 1998

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