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| (1) | CMAP, CNRS URA756, Ecole Polytechnique 91128 Palaiseau Cedex, France |
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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