Krylov Subspace Method with Communication Avoiding Technique for Linear System Obtained from Electromagnetic Analysis

• IKUNO Soichiro

  School of Computer Science, Tokyo University of Technology

• CHEN Gong

  School of Computer Science, Tokyo University of Technology

• YAMAMOTO Susumu

  School of Computer Science, Tokyo University of Technology

• ITOH Taku

  College of Industrial Technology, Nihon University

• ABE Kuniyoshi

  Faculty of Economics and Information, Gifu Shotoku Gakuen University

• NAKAMURA Hiroaki

  Department of Energy Engineering and Science, Nagoya University National Institute for Fusion Science

Abstract

Krylov subspace method and the variable preconditioned Krylov subspace method with communication avoiding technique for a linear system obtained from electromagnetic analysis are numerically investigated. In the k−skip Krylov method, the inner product calculations are expanded by Krylov basis, and the inner product calculations are transformed to the scholar operations. k−skip CG method is applied for the inner-loop solver of Variable Preconditioned Krylov subspace methods, and the converged solution of electromagnetic problem is obtained using the method.

Journal

• Plasma and Fusion Research

  Plasma and Fusion Research 11 (0), 2406021-2406021, 2016

  The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

• Krylov subspace method
• communication avoiding technique
• electromagnetic analysis
• prallelization
• GPGPU

Details

• CRID: 1390282680230886912
• NII Article ID: 130005401670
• DOI: 10.1585/pfr.11.2406021
• ISSN: 18806821
• Web Site: https://www.jstage.jst.go.jp/article/pfr/11/0/11_2406021/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed