Title:     Two-level additive Schwarz preconditioners for 
           C0 interior penalty methods
             

Author:    Susanne C. Brenner and Kening Wang

Status:    to appear. Numerische Mathematik 

Abstract:  We study two-level additive Schwarz preconditioners that can 
           be used in the iterative solution of the discrete problems 
           resulting from C0 interior penalty methods for fourth order
           elliptic boundary value problems.  We show that the condition 
           number of the preconditioned system is bounded by C(1+H/d)^3, 
           where H is the typical diameter of a subdomain, d measures the 
           overlap among the subdomains and the positive constant C is 
           independent of the mesh sizes and the number of subdomains.


Presented at:

- Modern Computational Methods in Applied Mathematics (MCM 2004), 
  B\c edlewo, Pozna\'n, Poland, June 14-19, 2004

- International Conference of Numerical Analysis and Applied Mathematics
  2004 (ICNAAM 2004), Chalkis, Greece, September 10-14, 2004