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 › peer-review

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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10.1108/03321640710751253

Cite this

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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.",

keywords = "Finite element analysis, Linear structure equation modelling, Magnetic devices, Magnetic fields",

author = "N. Takahashi and A. Muraoka and D. Miyagi and S. Fujino and K. Miyata and K. Ohashi",

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doi = "10.1108/03321640710751253",

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T1 - 3D magnetic field analysis of permanent magnet type of MRI using preconditioned MRTR method

AU - Takahashi, N.

AU - Muraoka, A.

AU - Miyagi, D.

AU - Fujino, S.

AU - Miyata, K.

AU - Ohashi, K.

PY - 2007/8/2

Y1 - 2007/8/2

N2 - 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.

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.

KW - Finite element analysis

KW - Linear structure equation modelling

KW - Magnetic devices

KW - Magnetic fields

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

Abstract

Keywords

ASJC Scopus subject areas

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