Calderon's preconditioning for periodic fast multipole method for elastodynamics in 3D

Hiroshi Isakari, Kazuki Niino, Hitoshi Yoshikawa, Naoshi Nishimura

研究成果: Article査読

13 被引用数 (Scopus)

抄録

Preconditioning methods based on Calderon's formulae for the periodic fast multipole method for elastodynamics in 3D are investigated. Three different types of formulations are proposed. The first type is a preconditioning just by appropriately ordering the coefficient matrix without multiplying preconditioners. The other two types utilise preconditioners constructed using matrices needed in the main fast multipole method algorithms. We make several numerical experiments with proposed preconditioners to confirm the efficiency of these proposed methods. We also conclude that the preconditioning of the first type is faster with respect to the computational time than other preconditioning methods discussed in this article.

本文言語English
ページ(範囲)484-505
ページ数22
ジャーナルInternational Journal for Numerical Methods in Engineering
90
4
DOI
出版ステータスPublished - 2012 4月 27
外部発表はい

ASJC Scopus subject areas

  • 数値解析
  • 工学一般
  • 応用数学

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