Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary |
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| Authors: | Yves Achdou Christophe Sabot Nicoletta Tchou |
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| Institution: | 1. UFR mathématiques, université Paris 7, case 7012, 75251 Paris cedex 05, France;2. Laboratoire Jacques-Louis Lions, université Paris 6, 75252 Paris cedex 05, France;3. CNRS, UMPA, UMR 5669, 46, allee d''Italie, 69364 Lyon cedex 07, France;4. IRMAR, université de Rennes 1, 35042 Rennes cedex, France |
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| Abstract: | We consider some boundary value problems in self-similar ramified domains, with Laplace and Helmholtz equations. We discuss transparent boundary conditions. These conditions permit computing the restriction of the solutions to domains obtained by stopping the geometric construction after a finite number of steps. To cite this article: Y. Achdou et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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