Construction and ordering of edge elements for parallel computation

Author

Iwashita, Takeshi ; Shimasaki, Masaaki

Author_Institution

Data Processing Center, Kyoto Univ., Japan

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3498

Lastpage

3502

Abstract

The present paper proposes a new method for the construction and ordering of edge elements for parallel computation. The use of virtual nodes generated in each volume element is presented as a means of introducing parallel ordering theory developed in finite difference analyses to finite edge element analyses. Eight-corner ordering and multi-color ordering are examined in the context of 3-D eddy-current analysis. The proposed method using 8-corner ordering can parallelize the ICCG solver in a finite edge element analysis without decreasing the convergence rate. A good balance between convergence and parallelism in the ICCG solver is obtained in the case of multi-color ordering

Keywords

convergence of numerical methods; eddy currents; electrical engineering computing; finite element analysis; mathematics computing; parallel processing; 3D eddy-current analysis; 8-corner ordering; ICCG solver; convergence rate; edge elements; eight-corner ordering; finite difference analyses; finite edge element analyses; finite edge element analysis; multi-color ordering; parallel computation; parallel ordering theory; virtual nodes; volume element; Concurrent computing; Convergence; Finite difference methods; Finite element methods; Iterative methods; Kernel; Linear systems; Matrices; Parallel processing; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952646

Filename

952646