[Méthode Multipôle Rapide pour l'élastodynamique 3D en domaine fréquentiel]
La résolution des équations de l'élastodynamique par la méthode des éléments de frontière (BEM) conduit à un système linéaire plein. Des travaux récents sur les équations de Helmholtz et Maxwell ont établi la capacité de la méthode multipôle rapide (FM) à réduire la complexité de la BEM à
The solution of the elastodynamic equations using boundary element methods (BEMs) gives rise to fully-populated matrix equations. Earlier investigations on the Helmholtz and Maxwell equations have established that the Fast Multipole (FM) method reduces the complexity of a BEM solution to
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Mots-clés : Mécanique des solides numérique, Éléments de frontière, Méthode multipôle rapide, Élastodynamique 3D
Stéphanie Chaillat 1, 2 ; Marc Bonnet 1 ; Jean-François Semblat 2
@article{CRMECA_2007__335_11_714_0, author = {St\'ephanie Chaillat and Marc Bonnet and Jean-Fran\c{c}ois Semblat}, title = {A {Fast} {Multipole} {Method} formulation for {3D} elastodynamics in the frequency domain}, journal = {Comptes Rendus. M\'ecanique}, pages = {714--719}, publisher = {Elsevier}, volume = {335}, number = {11}, year = {2007}, doi = {10.1016/j.crme.2007.07.001}, language = {en}, }
TY - JOUR AU - Stéphanie Chaillat AU - Marc Bonnet AU - Jean-François Semblat TI - A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain JO - Comptes Rendus. Mécanique PY - 2007 SP - 714 EP - 719 VL - 335 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2007.07.001 LA - en ID - CRMECA_2007__335_11_714_0 ER -
%0 Journal Article %A Stéphanie Chaillat %A Marc Bonnet %A Jean-François Semblat %T A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain %J Comptes Rendus. Mécanique %D 2007 %P 714-719 %V 335 %N 11 %I Elsevier %R 10.1016/j.crme.2007.07.001 %G en %F CRMECA_2007__335_11_714_0
Stéphanie Chaillat; Marc Bonnet; Jean-François Semblat. A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain. Comptes Rendus. Mécanique, Volume 335 (2007) no. 11, pp. 714-719. doi : 10.1016/j.crme.2007.07.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.07.001/
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