A Numerical Method for 3-D Eddy Current Problems

Hiroshi Kanayama; Daisuke Tagami; Masahiro Saito; Fumio Kikuchi

doi:10.1007/BF03168593

A Numerical Method for 3-D Eddy Current Problems

Hiroshi Kanayama, Daisuke Tagami, Masahiro Saito, Fumio Kikuchi

Division of Advanced Mathematics Technology

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	603-612
Number of pages	10
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/BF03168593
Publication status	Published - Jun 2001

All Science Journal Classification (ASJC) codes

Engineering(all)
Applied Mathematics

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10.1007/BF03168593

Cite this

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title = "A Numerical Method for 3-D Eddy Current Problems",

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.",

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T1 - A Numerical Method for 3-D Eddy Current Problems

AU - Kanayama, Hiroshi

AU - Tagami, Daisuke

AU - Saito, Masahiro

AU - Kikuchi, Fumio

PY - 2001/6

Y1 - 2001/6

N2 - 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.

AB - 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.

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A Numerical Method for 3-D Eddy Current Problems

Abstract

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