Title:       The condition number of the Schur complement in 
             domain decomposition
         
Author:      Susanne C. Brenner

Published:   Numerische Mathematik
             v. 83 (1999), 187-203 (MR# 2000g:65114)

Abstract:    It is shown that for elliptic boundary value problems of 
             order 2m the condition number of the Schur complement matrix 
             that appears in nonoverlapping domain decomposition methods 
             is of order $d^{-1}h^{-2m+1}$, where the parameter d measures 
             the diameters of the subdomains and h is the mesh size of the     
             triangulation.  The result holds for both conforming and 
             nonconforming finite elements.



 paper:Numerische Mathematik