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Abstract
In this paper, we consider an overlapping domain decomposition method for second order elliptic boundary value problems. The method is based on nonmatching simplicial triangulations of the subdomains and relies on an appropriate splitting of the variational formulation. The coupling conditions are taken care of by distributed Lagrange multipliers. The LBB condition is established and an efficient preconditioner is suggested.
Keywords:: Overlapping Domain Decomposition; distributed Lagrange multipliers; spectral equivalence; block diagonal preconditioning
Received: 2001-03-05
Revised: 2001-08-27
Published Online: 2010-11-15
Published in Print: 2001-December
© VSP 2001