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

doi:10.1108/03321640710751253

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

ENG - Electrical Engineering

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	828-841
Number of pages	14
Journal	COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
Volume	26
Issue number	3
DOIs	https://doi.org/10.1108/03321640710751253
Publication status	Published - 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

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Takahashi, N., Muraoka, A., Miyagi, D., Fujino, S., Miyata, K., & Ohashi, K. (2007). 3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 26(3), 828-841. https://doi.org/10.1108/03321640710751253

3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method. / Takahashi, N.; Muraoka, A.; Miyagi, D.; Fujino, S.; Miyata, K.; Ohashi, K.

In: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 26, No. 3, 02.08.2007, p. 828-841.

Research output: Contribution to journal › Article

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AU - Miyata, K.

AU - Ohashi, K.

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AB - 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.

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