We propose and analyze a mathematical model for wave propagation in infinite trees with self-similar structure at infinity. The emphasis is put on the construction and approximation of transparent boundary conditions.
Nous proposons et analysons un modèle mathématique pour la propagation dʼondes dans des arbres infinis qui sont auto-similaires à lʼinfini. Lʼaccent est mis sur la construction et lʼapproximation de conditions aux limites transparentes.
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Patrick Joly 1; Adrien Semin 2
@article{CRMATH_2011__349_19-20_1047_0, author = {Patrick Joly and Adrien Semin}, title = {Mathematical and numerical modeling of wave propagation in fractal trees}, journal = {Comptes Rendus. Math\'ematique}, pages = {1047--1051}, publisher = {Elsevier}, volume = {349}, number = {19-20}, year = {2011}, doi = {10.1016/j.crma.2011.09.008}, language = {en}, }
TY - JOUR AU - Patrick Joly AU - Adrien Semin TI - Mathematical and numerical modeling of wave propagation in fractal trees JO - Comptes Rendus. Mathématique PY - 2011 SP - 1047 EP - 1051 VL - 349 IS - 19-20 PB - Elsevier DO - 10.1016/j.crma.2011.09.008 LA - en ID - CRMATH_2011__349_19-20_1047_0 ER -
Patrick Joly; Adrien Semin. Mathematical and numerical modeling of wave propagation in fractal trees. Comptes Rendus. Mathématique, Volume 349 (2011) no. 19-20, pp. 1047-1051. doi : 10.1016/j.crma.2011.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.09.008/
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