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Convergence analysis of domain decomposition algorithms with full overlapping for the advection-diffusion problems
Authors:P. Le Tallec   M. D. Tidriri.
Affiliation:INRIA, Domaine de Voluceau Rocquencourt, B.P. 105, Le Chesnay Cedex, France ; Iowa State University, Department of Mathematics, 400 Carver Hall, Ames, IA 50011
Abstract:The aim of this paper is to study the convergence properties of a time marching algorithm solving advection-diffusion problems on two domains using incompatible discretizations. The basic algorithm is first described, and theoretical and numerical results that illustrate its convergence properties are then presented.

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