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ID 30255
FullText URL
Author
Fujiwara, Koji
Okamoto, Yoshifumi
Kameari, Akihisa
Ahagon, Akira
Abstract

A line search was combined with the Newton-Raphson method to accelerate the convergence of the iterative calculation in nonlinear magnetic field analysis. As a method for determining a step size for update, the minimization of an energy functional and a square of 2-norm of residual obtained from the finite-element discretization was investigated. It was demonstrated that the energy functional minimization is superior to the residual minimization from the viewpoint of computational cost. The line search is effective even in the magnetic vector potential formulation, which is said to be stable usually.

Keywords
Newton-Raphson method
computational electromagnetics
convergence of numerical methods
iterative methods
magnetic fields
Note
Digital Object Identifier: 10.1109/TMAG.2005.846048
Published with permission from the copyright holder. This is the institute's copy, as published in Magnetics, IEEE Transactions on, May 2005, Volume 41, Issue 5, Pages 1724-1727.
Publisher URL:http://dx.doi.org/10.1109/TMAG.2005.846048
Copyright © 2005 IEEE. All rights reserved.
Published Date
2005-5
Publication Title
Magnetics
Volume
volume41
Issue
issue5
Start Page
1724
End Page
1727
Content Type
Journal Article
language
English
Refereed
True
DOI
Submission Path
electricity_and_magnetism/135