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Journal Articles Comptes Rendus Mécanique Year : 2007

A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain

Abstract

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 $N \mbox{log}_{2}N$ per GMRES teration. The present Note address the extension of the FM-BEM strategy to 3D elastodynamics in the frequency domain. Its efficiency and accuracy are demonstrated on numerical examples involving up to $N=O(10^{6})$ nodal unknowns.
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Dates and versions

hal-00167345 , version 1 (28-08-2007)

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Stéphanie Chaillat, Marc Bonnet, J. F. Semblat. A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain. Comptes Rendus Mécanique, 2007, 335, pp.709-714. ⟨10.1016/j.crme.2007.07.001⟩. ⟨hal-00167345⟩
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