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
收藏
页码：701 / 712
页数：12
相关论文
共 50 条
  • [1] The Expansion of the Kernels for 3D Elastic Fast Multipole BEM
    Wang, Weiwei
    Chen, Yiming
    ADVANCES IN ROLLING EQUIPMENT AND TECHNOLOGIES, 2011, 145 : 1 - +
  • [2] Fast Multipole BEM for 3-D Elastostatic Problems with Applications for Thin Structures
    赵丽滨
    姚振汉
    Tsinghua Science and Technology, 2005, (01) : 67 - 75
  • [3] Application of the fast multipole method to the 3-D BEM analysis of electron guns
    Proceedings of the International Conference on Boundary Element Method, 1997, : 613 - 622
  • [4] Application of the fast multipole method to the 3-D BEM analysis of electron guns
    Nishida, T
    Hayami, K
    BOUNDARY ELEMENTS XIX, 1997, : 613 - 622
  • [5] A fast 3-D multipole method for eddy-current computation
    Rubinacci, G
    Tamburrino, A
    Ventre, S
    Villone, F
    IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (02) : 1290 - 1293
  • [6] A fast multipole BEM with higher-order elements for 3-D composite materials
    Ptaszny, Jacek
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 82 : 148 - 160
  • [7] A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
    Chaillat, Stephanie
    Bonnet, Marc
    Semblat, Jean-Francois
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (49-50) : 4233 - 4249
  • [8] Transient elastic wave analysis of 3-D large-scale cavities by fast multipole BEM using implicit Runge-Kutta convolution quadrature
    Maruyama, T.
    Saitoh, T.
    Bui, T. Q.
    Hirose, S.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 303 : 231 - 259
  • [9] Parallelized fast multipole BEM based on the convolution quadrature method for 3-D wave propagation problems in time-domain
    Saitoh, Takahiro
    Hirose, Sohichi
    9TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS AND 4TH ASIAN PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS, 2010, 10
  • [10] Three-dimensional elastic fast multipole BEM
    Liu, Deyi
    Shen, Guangxian
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2004, 21 (04): : 464 - 469
12345