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

Stéphanie Chaillat; Marc Bonnet; Jean François Semblat

doi:10.1016/j.crme.2007.07.001

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

Stéphanie Chaillat
, Marc Bonnet
, Jean François Semblat

Research output: Contribution to journal › Article › peer-review

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 log₂ N per GMRES iteration. 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 (10⁶) nodal unknowns. To cite this article: S. Chaillat et al., C. R. Mecanique 335 (2007).

Original language	English
Pages (from-to)	714-719
Number of pages	6
Journal	Comptes Rendus - Mecanique
Volume	335
Issue number	11
DOIs	https://doi.org/10.1016/j.crme.2007.07.001
Publication status	Published - 1 Jan 2007
Externally published	Yes

Keywords

3D elastodynamics
Boundary element method
Computational solid mechanics
Fast multipole method

Access to Document

10.1016/j.crme.2007.07.001

Cite this

@article{b71709361448425bb014c6649a954348,

title = "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 log2 N per GMRES iteration. 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 (106) nodal unknowns. To cite this article: S. Chaillat et al., C. R. Mecanique 335 (2007).",

keywords = "3D elastodynamics, Boundary element method, Computational solid mechanics, Fast multipole method",

author = "St{\'e}phanie Chaillat and Marc Bonnet and Semblat, \{Jean Fran{\c c}ois\}",

year = "2007",

month = jan,

day = "1",

doi = "10.1016/j.crme.2007.07.001",

language = "English",

volume = "335",

pages = "714--719",

journal = "Comptes Rendus - Mecanique",

issn = "1631-0721",

number = "11",

}

TY - JOUR

T1 - A Fast Multipole Method formulation for 3D elastodynamics in the frequency domain

AU - Chaillat, Stéphanie

AU - Bonnet, Marc

AU - Semblat, Jean François

PY - 2007/1/1

Y1 - 2007/1/1

N2 - 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 log2 N per GMRES iteration. 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 (106) nodal unknowns. To cite this article: S. Chaillat et al., C. R. Mecanique 335 (2007).

AB - 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 log2 N per GMRES iteration. 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 (106) nodal unknowns. To cite this article: S. Chaillat et al., C. R. Mecanique 335 (2007).

KW - 3D elastodynamics

KW - Boundary element method

KW - Computational solid mechanics

KW - Fast multipole method

U2 - 10.1016/j.crme.2007.07.001

DO - 10.1016/j.crme.2007.07.001

M3 - Article

AN - SCOPUS:36048998929

SN - 1631-0721

VL - 335

SP - 714

EP - 719

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 11

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this