3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method

N. Takahashi, A. Muraoka, D. Miyagi, S. Fujino, K. Miyata, K. Ohashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Purpose - The paper examines the convergence characteristics of the "minimized residual method based on the MRTR (three-term recurrence formula of CG-type) method" for solving large linear simultaneous equations. Design/methodology/approach - The paper uses an example of magnetic field analysis of permanent magnet type of MRI taking account of the minor loop and eddy current. Findings - It is shown that the preconditioned MRTR method can get a stable and quick convergence for such a relatively ill-conditioned problem. Originality/value - Illustrates that the convergence of the Incomplete Cholesky Conjugate Gradient method is one of the important issues in the practical 3D magnetic field analysis.

Original languageEnglish
Pages (from-to)828-841
Number of pages14
JournalCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering
Volume26
Issue number3
DOIs
Publication statusPublished - 2007 Aug 2

Keywords

  • Finite element analysis
  • Linear structure equation modelling
  • Magnetic devices
  • Magnetic fields

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of '3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method'. Together they form a unique fingerprint.

  • Cite this