A condition for positive-definiteness of the coarse matrix in BDD-DIAG of a perturbed magnetostatic problem-Reference-Cited by-同舟云学术

A condition for positive-definiteness of the coarse matrix in BDD-DIAG of a perturbed magnetostatic problem

Published:2022 Issue:2 Volume:9 Page:263-277
ISSN:2188-5303
Container-title:Journal of Advanced Simulation in Science and Engineering
language:en
Short-container-title:JASSE

Author:

Kanayama Hiroshi¹,Ogino Masao²,Sugimoto Shin-ichiro³,Yodo Kaworu⁴

Affiliation:

1. Department of Mathematics, Physics and Computer Science, Japan Women's University

2. Department of Information Systems, Daido University

3. Department of Mechanical Engineering, Hachinohe Institute of Technology

4. Technology & Development Group, Insight Inc.

Publisher

Japan Society for Simulation Technology

Subject

General Engineering

Link

https://www.jstage.jst.go.jp/article/jasse/9/2/9_263/_pdf

Reference20 articles.

1. [1] H. Kanayama, A.M.M. Mukaddes, M. Ogino, S. Sugimoto: A domain decomposition preconditioner for large scale 3-D magnetostatic analysis, in Proceedings of Joint Technical Meeting on Static Apparatus and Rotating Machinery, IEEJ, 2005, 21-26.

2. [2] G. Yagawa, R. Shioya: Parallel finite elements on a massively parallel computer with domain decomposition, Computing Systems in Engineering, 4 (1993), 495-503.

3. [3] M. Ogino, R. Shioya, H. Kanayama: An inexact balancing preconditioner for largescale structural analysis, Journal of Computational Science and Technology, 2-1 (2008), 150-161.

4. [4] J. Mandel: Balancing domain decomposition, Communications on Numerical Methods in Engineering, 9 (1993), 233-241.

5. [5] H. Kanayama, M. Ogino, S. Sugimoto, K. Yodo, H. Zheng: On the coarse matrix solver of preconditioners for magnetostatic domain decomposition analysis, IEEJ Transactions on Power and Energy, 137:3 (2017), 179-185.