### 抄録

The iterative Domain Decomposition Method (DDM) is one of the most effective parallel algorithm for large scale problems due to its excellent parallelism and variety of researches have already been done. As the iterative DDM satisfies continuity among subdomains through the iterative calculations, it is indispensable to reduce the number of iterations with a preconditioning technique especially for speed-up for computing. Thus, we have chosen the Balancing Domain Decomposition (BDD) proposed by J. Mandel. The BDD is a Neumann-Neumann type preconditioner with a coarse grid correction, and then its convergence estimates are independent of the number of subdomains. In this research, we introduce the BDD algorithm and how to apply it for elastic problems, then we develop a parallel BDD based on the Hierarchical DDM (HDDM) and apply it to some numerical examples on parallel computers.

元の言語 | 英語 |
---|---|

ページ（範囲） | 1360-1367 |

ページ数 | 8 |

ジャーナル | Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |

巻 | 69 |

発行部数 | 9 |

出版物ステータス | 出版済み - 9 2003 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### これを引用

*Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*,

*69*(9), 1360-1367.

**Parallel elastic finite element analysis using the balancing domain decomposition.** / Ogino, Masao; Shioya, Ryuji; Kanayama, Hiroshi; Tagami, Daisuke; Yoshimura, Shinobu.

研究成果: ジャーナルへの寄稿 › 記事

*Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, 巻. 69, 番号 9, pp. 1360-1367.

}

TY - JOUR

T1 - Parallel elastic finite element analysis using the balancing domain decomposition

AU - Ogino, Masao

AU - Shioya, Ryuji

AU - Kanayama, Hiroshi

AU - Tagami, Daisuke

AU - Yoshimura, Shinobu

PY - 2003/9

Y1 - 2003/9

N2 - The iterative Domain Decomposition Method (DDM) is one of the most effective parallel algorithm for large scale problems due to its excellent parallelism and variety of researches have already been done. As the iterative DDM satisfies continuity among subdomains through the iterative calculations, it is indispensable to reduce the number of iterations with a preconditioning technique especially for speed-up for computing. Thus, we have chosen the Balancing Domain Decomposition (BDD) proposed by J. Mandel. The BDD is a Neumann-Neumann type preconditioner with a coarse grid correction, and then its convergence estimates are independent of the number of subdomains. In this research, we introduce the BDD algorithm and how to apply it for elastic problems, then we develop a parallel BDD based on the Hierarchical DDM (HDDM) and apply it to some numerical examples on parallel computers.

AB - The iterative Domain Decomposition Method (DDM) is one of the most effective parallel algorithm for large scale problems due to its excellent parallelism and variety of researches have already been done. As the iterative DDM satisfies continuity among subdomains through the iterative calculations, it is indispensable to reduce the number of iterations with a preconditioning technique especially for speed-up for computing. Thus, we have chosen the Balancing Domain Decomposition (BDD) proposed by J. Mandel. The BDD is a Neumann-Neumann type preconditioner with a coarse grid correction, and then its convergence estimates are independent of the number of subdomains. In this research, we introduce the BDD algorithm and how to apply it for elastic problems, then we develop a parallel BDD based on the Hierarchical DDM (HDDM) and apply it to some numerical examples on parallel computers.

UR - http://www.scopus.com/inward/record.url?scp=0344099161&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0344099161&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0344099161

VL - 69

SP - 1360

EP - 1367

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 9

ER -