Title: Convergence of Domain Decomposition Methods 
via Semi-Classical Calculus

Authors: F. Nataf and F. Nier 

Abstract:
We prove the convergence of domain decomposition methods
for a PDE with variable coefficients. This is a generalization of previous
results obtained for constant coefficients operators (see report 306). 
Fourier analysis is replaced by Semi-Classical Calculus. We also prove
that the Dirichlet to Neumann operator is exactly a pseudodifferential 
operator whose symbol can be approximated.

 
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