A Numerical Method for 3-D Eddy Current Problems

Hiroshi Kanayama, Daisuke Tagami, Masahiro Saito, Fumio Kikuchi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

An iterative procedure using finite element method without the Lagrange multiplier is proposed for three-dimensional eddy current problems, which is based on an iterative procedure derived from a perturbation problem of the magnetostatic problem. To consider the continuity of an excitation current density, a correction method is also proposed. Numerical results show that the BiConjugate Gradient (BiCG) method is applicable to the complex symmetric linear systems arising in the iterative procedure, and that approximate physical quantities are suitable.

Original languageEnglish
Pages (from-to)603-612
Number of pages10
JournalJapan Journal of Industrial and Applied Mathematics
Volume18
Issue number2
DOIs
Publication statusPublished - Jan 1 2001

Fingerprint

Eddy Current Problem
Magnetostatics
Gradient methods
Lagrange multipliers
Iterative Procedure
Eddy currents
3D
Linear systems
Numerical methods
Current density
Numerical Methods
Finite element method
Gradient Method
Excitation
Finite Element Method
Linear Systems
Perturbation
Numerical Results
Three-dimensional

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

Cite this

A Numerical Method for 3-D Eddy Current Problems. / Kanayama, Hiroshi; Tagami, Daisuke; Saito, Masahiro; Kikuchi, Fumio.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 18, No. 2, 01.01.2001, p. 603-612.

Research output: Contribution to journalArticle

Kanayama, Hiroshi ; Tagami, Daisuke ; Saito, Masahiro ; Kikuchi, Fumio. / A Numerical Method for 3-D Eddy Current Problems. In: Japan Journal of Industrial and Applied Mathematics. 2001 ; Vol. 18, No. 2. pp. 603-612.
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