A fast multipole accelerated BEM for 3-D elastic wave computation

被引：4

作者：

Chaillat, Stephanie ^{[1
,2
]}

Bonnet, Marc ^{[1
]}

Semblat, Jean-Francois ^{[2
]}

机构：

[1] Ecole Polytech, Dept Mech, Solid Mech Lab UMR CNRS 7649, F-91128 Palaiseau, France

[2] Univ Paris Est, Lab Cent Ponts & Chaussees, F-75015 Paris, France

来源：

EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2008年 / 17卷 / 5-7期

关键词：

boundary element method; fast multipole method; 3D elastodynamics;

D O I：

10.3166/REMN.17.701-712

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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 log(2) N per GMRES iteration. The present article addresses the extension of the FM-BEM strategy to 3D elastodynamics in the frequency domain. Efficiency and accuracy are demonstrated on numerical examples involving up to N = O(10(6)) boundary nodal unknowns.

引用

页码：701 / 712

页数：12

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