Title:     A two-level additive Schwarz preconditioner
           for macro-element approximation of the plate 
           bending problem

Author:    Susanne C. Brenner

Published: Houston Journal of Mathematics
           v. 21 (1995), 823-844 (MR# 96k:73077)

Abstract:  A two-level additive Schwarz preconditioner is
           developed for the Hsieh-Clough-Tocher and reduced 
           Hsieh-Clough-Tocher macro-element approximations of the 
           plate bending problem. The condition numbers of the 
           preconditioned systems are shown to be bounded independent 
           of mesh sizes and the number of subdomains in the case of 
           generous overlap.


Presented at: 

- 14th World Congress of the International Association
  for Mathematics and Computers in Simulation (IMACS), 
  Atlanta, GA, July 11--15, 1994