Title:    Analysis of two-dimensional FETI-DP preconditioners by the
          standard additive Schwarz framework

Authors:  Susanne C. Brenner 

Status:   to appear in Electronic Transactions on Numerical Analysis (ETNA)

Abstract: FETI-DP preconditioners for two-dimensional elliptic boundary
          value problems with heterogeneous coefficients are analyzed by
          the standard additive Schwarz framework.  It is shown that the
          conditional number of the preconditioned system for both second 
          order and fourth order problems is bounded by C(1+ln(H/h))^2,
          where H is the maximum of the diameters of the subdomains, h is
          the mesh size of a quasi-uniform triangulation, and the positive 
          constant C is independent of h, H, the number of subdomains and
          the coefficients of the boundary value problems on the subdomains.
          The sharpness of the bound for second order problems is also
          established.