A preconditioner construction for domain decomposition analysis of large scale 3D magnetostatic problems

Author

Kanayama, Hiroshi ; Ogino, Masao ; Sugimoto, Shin-ichiro ; Yao, Qinghe

Author_Institution

Grad. Sch. of Eng., Kyushu Univ., Fukuoka, Japan

fYear

2011

fDate

19-21 April 2011

Firstpage

1

Lastpage

4

Abstract

An iterative domain decomposition method is applied to numerical analysis of 3-dimensional (3D) linear magnetostatic problems taking the magnetic vector potential as an unknown function. The iterative domain decomposition method is combined with the Preconditioned Conjugate Gradient (PCG) procedure and the Hierarchical Domain Decomposition Method (HDDM) which is adopted in parallel computing. Our previously employed preconditioner was the Neumann-Neumann method. Numerical results showed that the method was only effective for smaller problems. In this paper, we consider its improvement with the Balancing Domain Decomposition (BDD) preconditioner.

Keywords

conjugate gradient methods; iterative methods; magnetostatics; 3D linear magnetostatic problems; Neumann-Neumann method; balancing domain decomposition preconditioner; domain decomposition analysis; hierarchical domain decomposition method; iterative domain decomposition method; large scale 3D magnetostatic problems; magnetic vector potential; numerical analysis; parallel computing; preconditioned conjugate gradient procedure; preconditioner construction; Boolean functions; Data structures; Finite element methods; Magnetic analysis; Magnetic domains; Magnetostatics; Three dimensional displays; Large scale magnetostatic problems; domain decomposition method; the Neumann-Neumann preconditioner; the balancing domain decomposition preconditioner;

fLanguage

English

Publisher

ieee

Conference_Titel

Modeling, Simulation and Applied Optimization (ICMSAO), 2011 4th International Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4577-0003-3

Type

conf

DOI

10.1109/ICMSAO.2011.5775641

Filename

5775641