A Finite Element Method for 3-D Eddy Current Problems Using an Iterative Approach

H. Kanayama; Daisuke Tagami; M. Saito; T. Take; S. Asakawa

doi:10.1080/10618560108970019

A Finite Element Method for 3-D Eddy Current Problems Using an Iterative Approach

H. Kanayama, Daisuke Tagami, M. Saito, T. Take, S. Asakawa

Division of Advanced Mathematics Technology

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

An iterative method is proposed for a finite element approximation of three-dimensional eddy current problems. The method is based on an iterative method derived from a perturbation problem of magnetostatic problems. The TEAM model and a transformer model are considered as numerical examples. In both examples, BiConjugate Gradient (BiCG) method is applicable for the complex symmetric linear system arising in each step of the iterative procedure for a rather wide range of the perturbation parameter, and the present results seem to be suitable.

Original language	English
Pages (from-to)	81-88
Number of pages	8
Journal	International Journal of Computational Fluid Dynamics
Volume	15
Issue number	1
DOIs	https://doi.org/10.1080/10618560108970019
Publication status	Published - Jan 1 2001

All Science Journal Classification (ASJC) codes

Computational Mechanics
Aerospace Engineering
Condensed Matter Physics
Energy Engineering and Power Technology
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1080/10618560108970019

Fingerprint Dive into the research topics of 'A Finite Element Method for 3-D Eddy Current Problems Using an Iterative Approach'. Together they form a unique fingerprint.

Cite this

@article{bdf0d0b6b15c431fbe3efad9c93798b8,

title = "A Finite Element Method for 3-D Eddy Current Problems Using an Iterative Approach",

abstract = "An iterative method is proposed for a finite element approximation of three-dimensional eddy current problems. The method is based on an iterative method derived from a perturbation problem of magnetostatic problems. The TEAM model and a transformer model are considered as numerical examples. In both examples, BiConjugate Gradient (BiCG) method is applicable for the complex symmetric linear system arising in each step of the iterative procedure for a rather wide range of the perturbation parameter, and the present results seem to be suitable.",

author = "H. Kanayama and Daisuke Tagami and M. Saito and T. Take and S. Asakawa",

year = "2001",

month = jan,

day = "1",

doi = "10.1080/10618560108970019",

language = "English",

volume = "15",

pages = "81--88",

journal = "International Journal of Computational Fluid Dynamics",

issn = "1061-8562",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - A Finite Element Method for 3-D Eddy Current Problems Using an Iterative Approach

AU - Kanayama, H.

AU - Tagami, Daisuke

AU - Saito, M.

AU - Take, T.

AU - Asakawa, S.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - An iterative method is proposed for a finite element approximation of three-dimensional eddy current problems. The method is based on an iterative method derived from a perturbation problem of magnetostatic problems. The TEAM model and a transformer model are considered as numerical examples. In both examples, BiConjugate Gradient (BiCG) method is applicable for the complex symmetric linear system arising in each step of the iterative procedure for a rather wide range of the perturbation parameter, and the present results seem to be suitable.

AB - An iterative method is proposed for a finite element approximation of three-dimensional eddy current problems. The method is based on an iterative method derived from a perturbation problem of magnetostatic problems. The TEAM model and a transformer model are considered as numerical examples. In both examples, BiConjugate Gradient (BiCG) method is applicable for the complex symmetric linear system arising in each step of the iterative procedure for a rather wide range of the perturbation parameter, and the present results seem to be suitable.

UR - http://www.scopus.com/inward/record.url?scp=0035564630&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035564630&partnerID=8YFLogxK

U2 - 10.1080/10618560108970019

DO - 10.1080/10618560108970019

M3 - Article

AN - SCOPUS:0035564630

VL - 15

SP - 81

EP - 88

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

SN - 1061-8562

IS - 1

ER -