抄録
A numerical analysis with an iterative domain decomposition method is performed for magnetostatic problems, which is based on the initial step of an iterative scheme without the Lagrange multiplier. The magnetic vector potential, which is considered as the unknown function, is descretized by the Nedelec element of simplex type. The iterative domain decomposition method is combined with the Conjugate Gradient (CG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural problems, is adopted for the parallel computing. Numerical results show that the CG procedure converges, that the computed magnetic flux density is suitable, and that HDDM is effective for a magnetostatic problem where the number of degrees of freedom is about one million.
| 元の言語 | 英語 |
|---|---|
| ホスト出版物のタイトル | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 |
| 出版物ステータス | 出版済み - 12 1 2000 |
| イベント | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 - Barcelona, スペイン 継続期間: 9 11 2000 → 9 14 2000 |
出版物シリーズ
| 名前 | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 |
|---|
その他
| その他 | European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 |
|---|---|
| 国 | スペイン |
| 市 | Barcelona |
| 期間 | 9/11/00 → 9/14/00 |
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All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Applied Mathematics
これを引用
A domain decomposition approach for magnetic field problems. / Hiroshi, Kanayama; Ryuji, Shioya; Tagami, Daisuke; Takeshi, Nakiri; Masahiro, Saito.
European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000. 2000. (European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000).研究成果: 著書/レポートタイプへの貢献 › 会議での発言
}
TY - GEN
T1 - A domain decomposition approach for magnetic field problems
AU - Hiroshi, Kanayama
AU - Ryuji, Shioya
AU - Tagami, Daisuke
AU - Takeshi, Nakiri
AU - Masahiro, Saito
PY - 2000/12/1
Y1 - 2000/12/1
N2 - A numerical analysis with an iterative domain decomposition method is performed for magnetostatic problems, which is based on the initial step of an iterative scheme without the Lagrange multiplier. The magnetic vector potential, which is considered as the unknown function, is descretized by the Nedelec element of simplex type. The iterative domain decomposition method is combined with the Conjugate Gradient (CG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural problems, is adopted for the parallel computing. Numerical results show that the CG procedure converges, that the computed magnetic flux density is suitable, and that HDDM is effective for a magnetostatic problem where the number of degrees of freedom is about one million.
AB - A numerical analysis with an iterative domain decomposition method is performed for magnetostatic problems, which is based on the initial step of an iterative scheme without the Lagrange multiplier. The magnetic vector potential, which is considered as the unknown function, is descretized by the Nedelec element of simplex type. The iterative domain decomposition method is combined with the Conjugate Gradient (CG) procedure, and the Hierarchical Domain Decomposition Method (HDDM), which has been shown effective for structural problems, is adopted for the parallel computing. Numerical results show that the CG procedure converges, that the computed magnetic flux density is suitable, and that HDDM is effective for a magnetostatic problem where the number of degrees of freedom is about one million.
UR - http://www.scopus.com/inward/record.url?scp=84893400001&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893400001&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84893400001
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
ER -