Fast multigrid solution method for nested edge-based finite element meshes

Author

Cingoski, Vlatko ; Tokuda, Ryutaro ; Noguchi, So ; Yamashita, Hideo

Author_Institution

Electr. Power Co. of Macedonia, Skopje, Macedonia

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

1539

Lastpage

1542

Abstract

In this paper a fast multigrid solution method for edge-based finite element magnetostatic field computation with nested meshes is introduced and its efficiency is investigated. Special prolongation and restriction matrices were constructed according to the nature of the edge based field approximation. The comparison of the computation speed between the multigrid method and the ICCG method is also presented, showing that the multigrid method is very promising as a fast solution method for large system of equations

Keywords

boundary-elements methods; finite element analysis; iterative methods; magnetic fields; magnetostatics; matrix algebra; partial differential equations; edge based field approximation; fast multigrid solution; iterative method; large system of equations; magnetostatic field computation; nested edge-based finite element meshes; partial differential equations; prolongation matrices; relaxation methods; restriction matrices; Electromagnetic fields; Equations; Finite element methods; Hardware; Iterative methods; Large-scale systems; Magnetostatics; Multigrid methods; Relaxation methods; Smoothing methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877732

Filename

877732