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 |
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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 | |
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