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.
On considère une classe de problèmes aux limites dans des domaines autosimilaires ramifiés, avec des équations de Laplace ou d'Helmholtz. On s'intéresse à l'obtention de conditions aux limites transparentes, permettant le calcul de la solution dans un domaine obtenu en arrêtant la construction après un nombre fini d'étapes.
Accepted:
Published online:
@article{CRMATH_2006__342_8_605_0,
author = {Achdou, Yves and Sabot, Christophe and Tchou, Nicoletta},
title = {Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary},
journal = {Comptes Rendus. Math\'ematique},
pages = {605--610},
publisher = {Elsevier},
volume = {342},
number = {8},
year = {2006},
doi = {10.1016/j.crma.2006.02.024},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2006.02.024/}
}
TY - JOUR AU - Achdou, Yves AU - Sabot, Christophe AU - Tchou, Nicoletta TI - Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary JO - Comptes Rendus. Mathématique PY - 2006 SP - 605 EP - 610 VL - 342 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.02.024/ DO - 10.1016/j.crma.2006.02.024 LA - en ID - CRMATH_2006__342_8_605_0 ER -
%0 Journal Article %A Achdou, Yves %A Sabot, Christophe %A Tchou, Nicoletta %T Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary %J Comptes Rendus. Mathématique %D 2006 %P 605-610 %V 342 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.02.024/ %R 10.1016/j.crma.2006.02.024 %G en %F CRMATH_2006__342_8_605_0
Achdou, Yves; Sabot, Christophe; Tchou, Nicoletta. Transparent boundary conditions for a class of boundary value problems in some ramified domains with a fractal boundary. Comptes Rendus. Mathématique, Volume 342 (2006) no. 8, pp. 605-610. doi : 10.1016/j.crma.2006.02.024. http://www.numdam.org/articles/10.1016/j.crma.2006.02.024/
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Cited by Sources:
⁎ The research of Yves Achdou and Nicoletta Tchou was partially supported by the ACINIM “LePoumonVousDisJe”. Le travail de Yves Achdou et de Nicoletta Tchou a été partiellement supporté par l'ACINIM “LePoumonVousDisJe”.
