High performance linear solver for advanced computational electromagnetics

2021 Fiscal Year Final Research Report

• Project/Area Number: 19H04122
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Basic Section 60100:Computational science-related
• Research Institution: Hokkaido University
• Principal Investigator: IWASHITA TAKESHI 北海道大学, 情報基盤センター, 教授 (30324685)
• Co-Investigator(Kenkyū-buntansha): 塙 敏博 東京大学, 情報基盤センター, 教授 (30308283) ; 伊田 明弘 国立研究開発法人海洋研究開発機構, 付加価値情報創生部門(地球情報基盤センター), 副主任研究員 (80742121) ; 美舩 健 京都大学, 工学研究科, 講師 (20362460) ; 高橋 康人 同志社大学, 理工学部, 教授 (90434290) ; 深谷 猛 北海道大学, 情報基盤センター, 助教 (30633846)
• Project Period (FY): 2019-04-01 – 2022-03-31
• Keywords: 高性能計算 / 計算電磁気学 / 線形反復法 / 混合精度演算 / 時間並列処理 / H行列

Outline of Final Research Achievements

In this study, we studied the acceleration of the linear solver to make the electromagnetic field analysis based on the finite element and the boundary element methods more efficiently. Research was conducted from both the computer science and the mathematical approaches. From the computer science side, we studied the parallel in time technique, the preconditioning techniques in which SIMD instructions or accelerators are effectively used. We also studied the mixed precision computing in the context of iterative linear solvers. From the mathematical side, we focused on the situation in which a sequence of linear systems was solved. We proposed a technique based on error vector sampling and confirmed its effectiveness. In these studies, we attained many research results which were reported in journals and conferences.

Free Research Field

高性能計算

Academic Significance and Societal Importance of the Research Achievements

現代社会では，社会のあらゆる場面で電気機器や電子デバイスが重要な役割を果たしている．このような機器・デバイスの設計には，電磁場解析が用いられ，それを高速化することは，機器設計の効率化に寄与する．本研究では，SIMD演算や混合精度演算の利用といった計算機科学的アプローチと誤差修正法や減次法といった数理・解法的アプローチの両面から研究を行い，電磁場解析の高速化に貢献する線形ソルバの高速化技術を開発した．