An adaptive finite element scheme using multi-grid method for magnetostatic problems

Author

Koh, Chang-Seop ; Choi, Kyung ; Hahn, Song-Yop ; Jung, Hyun-Kyo ; Lee, Ki-Sik

Author_Institution

Dept. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

25

Issue

4

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

2959

Lastpage

2961

Abstract

A multigrid solver is developed to reduce computing time in the adaptive finite-element scheme. The meshes generated by the adaptive scheme can be directly used as multigrids for the computation. Elements in the adaptively generated grids are concentrated around the singular points, which makes the use of simple injection for restriction impossible. To overcome this problem, a weighted restriction is introduced. A magnetostatic field problem with a high degree of singularity is chosen as a case study. The multigrid method with weighted restriction reduces the computing time considerably compared with the well-known ICCG method. The computing time for problems where number of nodes is of the order of 10000 is reduced to 30%

Keywords

finite element analysis; magnetostatics; adaptive finite element; magnetostatic field; magnetostatic problems; multigrid method; multigrid solver; singular points; weighted restriction; Boundary conditions; Convergence; Equations; Finite element methods; Frequency; Magnetic analysis; Magnetic flux; Magnetic materials; Magnetostatics; Mesh generation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.34337

Filename

34337